Capital One Financial Corporation and Subsidiaries v. Commissioner , 133 T.C. No. 8 ( 2009 )


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    133 T.C. No. 8
    UNITED STATES TAX COURT
    CAPITAL ONE FINANCIAL CORPORATION AND SUBSIDIARIES,
    Petitioners v.
    COMMISSIONER OF INTERNAL REVENUE, Respondent
    Docket Nos. 19519-05, 24260-05.   Filed September 21, 2009.
    P’s subsidiaries, COB and FSB, issued Visa and
    MasterCard credit cards. Among the various revenues
    received from the credit card business, COB and FSB
    earned interchange. Interchange is income earned by an
    issuer of Visa and MasterCard credit cards which
    accrues to the issuer each time a cardholder uses a
    credit card for a purchase. It is almost always
    calculated as a percentage of the total purchase plus,
    in some instances, a small fixed amount.
    When a cardholder used a credit card to purchase
    an item from a merchant, the cardholder agreed to pay
    COB or FSB the full purchase price of the item.
    However, because of the way the Visa and MasterCard
    systems operated, COB and FSB authorized Visa and
    MasterCard to withdraw a lesser amount from Capital
    One’s account which eventually was delivered to the
    merchant. The difference between the purchase price
    -2-
    and the amount Visa or MasterCard withdrew from Capital
    One’s account was the interchange on the transaction.
    COB and FSB treated interchange as creating or
    increasing original issue discount (OID) on the pool of
    loans to which the interchange related under sec.
    1272(a)(6)(C)(iii), I.R.C. R argues that interchange
    is a fee for a service paid by the merchant or the
    merchant’s bank, and not by the borrower. Furthermore,
    R argues that interchange is not economically
    equivalent to interest and therefore may not be treated
    as OID under sec. 1272(a)(6)(C)(iii), I.R.C. Ps argue
    that COB and FSB acquired the credit card loans at a
    discount, the discount being the amount of interchange,
    and therefore interchange was properly treated as OID.
    In our previous Opinion in this case, Capital One
    Fin. Corp. v. Commissioner, 
    130 T.C. 147
     (2008), we
    held that a taxpayer was required to follow all
    procedures put in place by the Commissioner to change
    its method of accounting in accordance with sec.
    1272(a)(6)(C)(iii), I.R.C. FSB did not request to
    change its method of accounting by filing Form 3115,
    Application for Change in Accounting Method, with its
    return.
    Sec. 1272(a)(6)(C)(iii), I.R.C., provides a
    specific formula by which OID accruals should be
    calculated on a debt instrument subject to prepayment
    such as a pool of credit card loans. Sec.
    1272(a)(6)(C)(iii), I.R.C. requires the use of a
    prepayment assumption. COB used a formula developed by
    the accounting firm KPMG (KPMG model). R raises
    several issues with respect to the KPMG model, arguing
    that it did not comply with sec. 1272(a)(6)(C)(iii),
    I.R.C., and that the results produced by the model were
    unreasonable.
    COB and FSB issued certain Visa and MasterCard
    credit cards known as Milesone cards which allowed
    cardholders to earn 1 mile for every dollar used for a
    purchase transaction, with certain limitations. A
    cardholder earned no miles for fees or finance charges
    incurred. When a cardholder reached a certain number
    of miles, they could be redeemed for airline tickets.
    COB and FSB deducted the estimated future cost of
    redeeming the miles under sec. 1.451-4, Income Tax
    -3-
    Regs., which allows a taxpayer to deduct from sales
    revenues an estimate of the expenses associated with
    redeeming coupons that were issued with sales.
    Held: Interchange is not a fee for any service
    other than the lending of money. The issue price of a
    credit card loan is the price paid for the loan, which
    is the amount withdrawn from COB’s and FSB’s account
    and deposited with the merchant’s bank. Therefore,
    interchange is properly treated as OID under sec.
    1272(a)(6)(C)(iii), I.R.C.
    Held, further: FSB did not follow the required
    procedures to change its method of accounting in
    accordance with sec. 1272(a)(6)(C)(iii), I.R.C.
    Therefore, FSB may not treat interchange and overlimit
    fees as OID.
    Held, further: The KPMG model did not comply with
    sec. 1272(a)(6), I.R.C., in that: (1) The model
    included in the beginning issue price of the debt
    instrument additions to principal which occurred after
    the first day of the accrual period; (2) the model
    incorrectly calculated the payment rate by including
    additions to principal which occurred after the first
    day of the accrual period; and (3) the model
    incorrectly calculated the payment rate by applying
    payments to finance charges which accrued during the
    period. Payments should first be applied to the prior
    month’s accrued finance charges, and not the current
    month’s finance charges. In all other respects, the
    KPMG model was reasonable.
    Held, further: The miles issued by COB and FSB
    were not issued with sales, and COB and FSB did not
    have gross receipts with respect to sales within the
    meaning of sec. 1.451-4, Income Tax Regs. Therefore,
    they may not deduct the estimated costs of redeeming
    the miles pursuant to sec. 1.451-4, Income Tax Regs.,
    but must do so under the all events test as to those
    amounts that are fixed and known and for which economic
    performance has occurred.
    -4-
    Jean Ann Pawlow, Elizabeth A. Erickson, Holly K. Hemphill,
    Kevin Spencer, and Robin L. Greenhouse, for petitioners.
    Gary D. Kallevang, James D. Hill, and Alan R. Peregoy, for
    respondent.
    CONTENTS
    Issue 1:   Interchange   . . . . . . . . . . . . . . . . . . .    8
    FINDINGS OF FACT . . . . . . . . . . . . . . . . . . . . . .      8
    A.   An Introduction to Interchange . . . . . . . . . .      8
    B.   The Historical Roots of the Credit Card
    Industry and Interchange . . . . . . . . . . .       9
    C.   Interchange Fees and the Visa and
    MasterCard Systems . . . . . . . . . . . . . .      12
    D.   The Parties to a Typical Credit Card Purchase
    Transaction . . . . . . . . . . . . . . . . . .     12
    1.   The Issuing Bank (Capital One) . . . . . . .      12
    2.   The Cardholder . . . . . . . . . . . . . . .      13
    3.   The Acquiring Bank. . . . . . . . . . . . . .     14
    4.   The Merchant . . . . . . . . . . . . . . . .      15
    5.   The Association (Visa or MasterCard) . . . .      15
    E.   A Typical Credit Card Purchase Transaction . . . .     15
    F.   The Clearing Process . . . . . . . . . . . . . . .     19
    G.   Net Settlement . . . . . . . . . . . . . . . . . .     20
    H.   Cardholder Payments . . . . . . . . . . . . . . .      23
    I.   Merchant Discount in Detail . . . . . . . . . . .      25
    J.   Interchange in Detail . . . . . . . . . . . . . .      26
    1.   Factors Influencing Interchange Rates . . . .     26
    2.   Capital One’s Costs and Interchange . . . . .     28
    3.   Debit Cards and Interchange . . . . . . . . .     29
    4.   Capital One’s Accounting Treatment of
    Credit Card Purchases and Associated
    Interchange Income . . . . . . . . . . . .     30
    OPINION . . . . . . . . . . . . . . . . . . . . . . . . . .      33
    A.   An Overview of the Issue and the Law . . . . . . .     33
    B.   The SRPM of a Credit Card Loan . . . . . . . . . .     34
    C.   The Issue Price of a Credit Card Loan . . . . . .      35
    1.   Whether Interchange Is a Fee for a Service
    (and If So, What Service) or Economically
    Equivalent to Interest . . . . . . . . . .     36
    2.   Whether the Cardholder, the Merchant, or
    the Acquiring Bank Pays Interchange . . .      48
    D.   Conclusion With Respect to the Interchange Issue .     52
    -5-
    Issue 2:   The Calculation of OID Under Section
    1272(a)(6)(C) . . . . . . . . . . . . . . . . .         53
    FINDINGS OF FACT . . . . . . . . . . . . . . . . . . .            53
    A.   Accounting Methods . . . . . . . . . . . . .            53
    B.   Income and OID Accruals of Overlimit Fees
    and Interchange . . . . . . . . . . . . .            54
    OPINION . . . . . . . . . . . . . . . . . . . . . . . .           55
    A.   Accounting Methods . . . . . . . . . . . . .            55
    B.   The Standard of Review . . . . . . . . . . .            57
    C.   Section 1272(a)(6)(C) . . . . . . . . . . . .           59
    D.   The KPMG Model . . . . . . . . . . . . . . .            62
    1.   The Payment Rate or Prepayment
    Assumption . . . . . . . . . . . . .            62
    2.   The Weighted Average Maturity . . . . .            64
    3.   The Yield to Maturity . . . . . . . . .            65
    4.   OID Accrual . . . . . . . . . . . . . .            66
    5.   An Adjustment for Writeoffs . . . . . . .          67
    6.   The Mid-Month Convention . . . . . . . .           67
    7.   The KPMG Model Table . . . . . . . . . .           67
    E.   Respondent’s Arguments With Respect to the
    KPMG Model . . . . . . . . . . . . . . . .           69
    1.   The Monthly Retirement and Reissuance
    of the Pooled Debt Instrument . . . .           69
    a.   COB’s Reasons for Adopting the
    “Retired and Reissued” Approach.           71
    b.   Respondent’s Alternative to the
    “Retired and Reissued” Approach.           72
    2.   The Inclusion of New Additions in the
    Beginning Issue Price . . . . . . . .           78
    3.   Payment Rate Issues . . . . . . . . . .            82
    a.   The Denominator . . . . . . . . . .           82
    b.   The Numerator . . . . . . . . . . .           84
    c.   Other Published Payment Rates . . .           86
    4.   Dr. Hakala’s Default Rate Adjustment
    for Overlimit Fees . . . . . . . . .            87
    5.   Dr. Hakala’s Seasonality and
    Trend Adjustment . . . . . . . . . .            90
    F.   Conclusion With Respect to the
    Calculation of OID . . . . . . . . . . . .           91
    Issue 3:   Milesone Rewards . . . . . . . . . . . . . . . . .         91
    FINDINGS OF FACT . . . . . . . . . . . . . . .    .   .   .   .   91
    A.   The Milesone Reward Program . . . . .   .   .   .   .   91
    B.   Milesone Program Costs and Accounting   .   .   .   .   93
    OPINION . . . . . . . . . . . . . . . . . . . .   .   .   .   .   95
    -6-
    A.   The History of Accounting for the
    Redemption of Trading Stamps and
    Coupons . . . . . . . . . . . . . .    . . . 95
    B.   The “With Sales” Requirement . . . . .    . . . 98
    C.   Gross Receipts With Respect to Sales .    . . . 102
    D.   Conclusion With Respect to the Milesone
    Rewards Issue . . . . . . . . . . .    . . . 104
    HAINES, Judge:    Respondent determined deficiencies in, and
    penalties with respect to, petitioners’ Federal income taxes as
    follows:1
    Penalty
    Year             Deficiency                Sec. 6662(a)
    1995            $1,459,146                     N/A
    1996             7,162,060                     N/A
    1997            37,656,474                 $5,487,734
    1998            72,995,902                  5,220,381
    1999           175,286,436                 13,194,525
    Capital One Financial Corp., through its principal
    subsidiaries Capital One Bank (COB) and Capital One, F.S.B. (FSB)
    (collectively Capital One),2 is among the world’s largest issuers
    of Visa and MasterCard credit cards.     Its headquarters is in
    Virginia.   After concessions,3 three issues remain for our
    decision, all of which are issues of first impression and relate
    1
    Unless otherwise indicated, section references are to the
    Internal Revenue Code (Code), as amended. Rule references are to
    the Tax Court Rules of Practice and Procedure.
    2
    We refer to COB and FSB individually only when the
    difference is material to our analysis.
    3
    The parties were able to settle many issues, including all
    issues with respect to petitioners’ 1995 and 1996 tax years.
    -7-
    to the proper tax treatment of Capital One’s income and expenses
    from its credit card business.
    The first issue is whether certain credit card income, known
    as interchange, is properly recognized at the time the
    interchange accrues under the all events test (when the
    cardholder’s credit card purchase is settled through either the
    Visa or MasterCard system) or whether it is properly recognized
    over the anticipated life of the pool of credit card loans to
    which the interchange relates under section 1272(a)(6)(C)(iii).
    We hold that interchange may be recognized over time as original
    issue discount (OID) under section 1272(a)(6)(C)(iii).
    The second issue is whether COB and FSB properly calculated
    the amount of OID for interchange and overlimit fees.4    We hold
    that the formula COB used to calculate OID, with modifications
    required by the OID rules generally and section 1272(a)(6)
    specifically, as set forth infra, is reasonable.
    The third issue is whether Capital One may deduct under
    section 1.451-4, Income Tax Regs., the estimated cost of future
    redemptions of “miles” it issued to certain cardholders which
    could be redeemed for airline tickets.   We hold that Capital One
    4
    Subsumed in this issue is whether FSB is precluded from
    treating interchange and overlimit fees as creating or increasing
    OID on the pool of loans to which it relates because it did not
    request to change its method of accounting. We hold that FSB did
    not request to change its method of accounting and may not treat
    interchange or overlimit fees as OID.
    -8-
    may not deduct those costs pursuant to section 1.451-4, Income
    Tax Regs., but must do so under the all events test as to those
    amounts that are fixed and known and for which economic
    performance has occurred.
    The parties have stipulated many of the facts and they are
    so found.    The stipulations of facts and the exhibits attached
    thereto are incorporated herein.    For the most part the three
    issues are discrete, and for convenience we have set forth below
    separately our Findings of Fact and Opinion for each issue.
    Issue 1:    Interchange
    FINDINGS OF FACT
    A.   An Introduction to Interchange
    Interchange is income earned by an issuer of MasterCard or
    Visa credit cards which accrues to the issuer every time a
    cardholder uses a card for a purchase.    Interchange is typically
    calculated as a percentage of the total amount of the purchase
    plus, in most but not all instances, a small fixed fee.
    To better understand interchange, respondent suggests we
    review how and why interchange developed and the contractual
    relationships between the multiple parties in a credit card
    transaction, as well as the interchange systems in other payment
    card systems such as signature debit cards and personal
    identification number (PIN) debit cards.     Petitioners, on the
    other hand, would have us focus on the economics of the credit
    -9-
    card transaction, specifically the cashflows.   In making our
    determination, we do not limit our analysis to one aspect or one
    viewpoint of the interchange system.
    B.   The Historical Roots of the Credit Card Industry and
    Interchange
    Payment card systems, like those of Visa and MasterCard,
    facilitate transactions between merchants and cardholders.    They
    allow consumers a convenient way to purchase goods without having
    to carry cash or use a check.   Merchants also benefit from
    payment card systems because they open themselves up to more
    potential consumers and they receive some assurance of payment
    and protection from fraud.
    Hotels, gas companies, and department stores began issuing
    payment cards to some of their customers in the early 20th
    century.   Such a card was usually accepted only by the merchant
    who issued the card.   Some of the payment cards offered their
    cardholders a line of credit, while others required the
    cardholder to pay the balance in full by a fixed date, for
    example 30 days after a monthly statement was issued.5
    In the 1950s a new type of payment card system was created,
    Diner’s Club, and shortly thereafter American Express created a
    similar system.   Unlike previous cards issued by a single
    5
    Cards that require full payment and do not allow
    cardholders to carry a balance from month to month are known in
    the banking industry as charge cards.
    -10-
    merchant, Diner’s Club and American Express cards were accepted
    by many different merchants if the merchant had joined the
    respective system.   Diner’s Club adopted the following price
    structure, known by some in the payment card industry as a
    “merchant’s pay” structure:   cardholders paid a $3 annual fee and
    the merchants received 93 percent of the cardholder’s total
    charge.6   The difference between the amount of the cardholder’s
    charge and the amount the merchant received was retained by the
    issuer and was known as merchant discount.   American Express set
    a slightly higher annual fee and smaller merchant discount than
    Diner’s Club.
    The Diner’s Club and American Express systems involved three
    parties:   the cardholder, the merchant, and the card issuer.    In
    these systems the card issuers not only issued cards to
    cardholders; they also recruited merchants to join the system and
    processed the card transactions.   Of the various payment card
    systems, this three-party system is known as the “go it alone”
    system because the card issuer performed the various functions
    necessary to operate the system.
    In 1958 Bank of America also chose to go it alone and began
    issuing its own payment cards, called BankAmericards, which were
    credit cards in that cardholders could carry a balance from month
    6
    As we will see, respondent argues that the merchant has
    paid 7 percent of the charge to the bank, and petitioners argue
    that the bank has received funds net of a 7-percent discount.
    -11-
    to month.   Later on, in an effort to compete with Diner’s Club
    and American Express, Bank of America franchised its cards to
    selected banks across the country.    Each franchisee operated the
    program independently using the BankAmericard name, and
    participating merchants accepted all cards carrying the name
    whether they were issued by Bank of America or one of the
    franchisees.   Franchisees paid Bank of America .5 percent of
    purchase volume plus a franchise entry fee.    This was known as
    the franchise model.
    A third model developed in the 1960s, the bank association.
    The idea was that banks would cooperate at the card system level
    by setting operational standards and fees.    Each bank would
    compete for cardholders as well as merchants.    The association
    members agreed that a cardholder carrying a card issued by any
    member bank could use the card at a merchant signed up by any
    member bank.   The banks also cooperated in promoting the card
    brand name which involved making the association’s name more
    prominent on the card than the individual bank’s name.    Several
    associations developed in the 1960s, the most enduring of which
    was the Interbank Association, which issued Master Charge cards.
    By the late 1960s banks were rushing to become either
    BankAmericard franchisees or Interbank Association members.
    Ultimately, most banks preferred being members of an association
    rather than franchisees.   Bowing to this pressure, in 1970 Bank
    -12-
    of America converted its franchise system into an association,
    National BankAmericard, Inc.    National BankAmericard, Inc.,
    became Visa in 1976 and the Interbank Card Association became
    MasterCard in 1979.
    C.   Interchange Fees and the Visa and MasterCard Systems
    A credit card transaction in the Visa and MasterCard (the
    associations) systems included five parties.7   In the three-party
    go it alone model, the card issuer, for example American Express,
    would set a merchant discount rate acceptable to both parties,
    maximizing the bank’s profits.    In the five-party association
    model the bank that issued the card was usually not the bank that
    recruited the merchant, and each sought to maximize profits,
    often at the other’s expense.    The interchange system was created
    to solve that problem.
    D.   The Parties to a Typical Credit Card Purchase Transaction
    To explain how interchange works, we begin with a
    description of the five parties to a typical credit card purchase
    transaction under either the Visa or MasterCard system.
    1.   The Issuing Bank (Capital One)
    During the years at issue Capital One was an issuing bank,
    in that it issued cards to cardholders, but it did not recruit
    merchants to join the system.    The issuing bank’s primary service
    7
    The association model is sometimes referred to as a four-
    party system because the association, either Visa or MasterCard,
    is not counted.
    -13-
    was lending money to its cardholders with whom it had a
    contractual relationship as spelled out in the cardholder
    agreement.   All issuing banks operated under the rules provided
    by the respective associations, either Visa’s By-Laws and
    Operating Regulations (Visa rules) or MasterCard’s By-Laws and
    Rules and Operating Manuals (MasterCard rules).
    2.   The Cardholder
    The cardholder received a card from the issuing bank.     The
    credit card evidenced a line of credit that had been established
    by the issuing bank upon which the cardholder could draw to
    purchase goods or services and in some cases transfer a balance
    or obtain a cash advance.   The amount of the line of credit and
    the terms and conditions for use of the line of credit were
    provided in the cardholder agreement.   The relationship between
    the cardholder and Capital One was also described in solicitation
    materials sent to the cardholder and the application filled out
    by the cardholder when applying for a Capital One credit card.
    Under the terms and conditions of Capital One’s cardholder
    agreements, Capital One promised to extend credit on a revolving
    basis to the cardholder in exchange for the cardholder’s promise
    to pay Capital One the total price of the goods and services
    purchased by the cardholder using the Capital One card, along
    with any finance charges and fees as provided under the terms of
    the cardholder agreement.   If a cardholder failed to pay an
    -14-
    amount owed, Capital One could not look for payment of the
    liability from the association, the merchant, or the acquiring
    bank.
    3.      The Acquiring Bank8
    An acquiring bank recruited, screened, and accepted
    merchants into the associations’ credit card systems.     An
    acquiring bank entered into agreements with merchants regarding
    the merchants’ acceptance of credit cards (merchant agreement).
    The acquiring bank’s contractual relationship with the merchant
    was separate and distinct from the acquiring bank’s relationship
    with the association.     Neither Capital One, the cardholder, nor
    the association was a party to the agreement between the
    acquiring bank and the merchant.
    An acquiring bank processed credit card transactions on
    behalf of its merchants and carried out the settlement process
    for them within the respective credit card systems.     An acquiring
    bank also typically provided services to the merchant including
    deployment of credit card terminals at the point of sale, back-
    end customer service, risk management, and marketing activities.
    8
    Acquiring banks are sometimes referred to as merchant’s
    banks.
    -15-
    4.    The Merchant
    The merchant sold goods or services to the cardholder.    With
    respect to a credit card purchase transaction, the merchant had
    no contract with the issuing bank.
    5.    The Association (Visa or MasterCard)
    Visa and MasterCard provided the infrastructure which
    enabled credit card transactions to take place.    They processed
    transactions between acquiring and issuing banks, allowing
    purchases to be authorized.   Further, the associations provided
    the infrastructure which allowed the parties to clear and settle
    millions of credit card transactions.    These processes are
    described below.
    E.   A Typical Credit Card Purchase Transaction
    Credit card purchase transactions typically included (1) an
    authorization process to enable the merchant to obtain the
    issuing bank’s authorization for the cardholder’s purchase and
    (2) a clearance process to transmit information regarding credit
    card transactions among the merchant, the acquiring bank, and the
    issuing bank as required under the association’s operating
    rules.9   Credit card purchase transactions also included a
    separate flow of funds for settling accounts between issuing
    banks, acquiring banks, and merchants.    Visa and MasterCard each
    9
    In 1998 and 1999 Capital One cardholders participated in
    211,152,400 and 335,188,370 credit card transactions,
    respectively.
    -16-
    operated electronic network systems to process their respective
    card transactions, including approval, consolidation, and
    settlement.    These systems are referred to as interchange
    systems.   MasterCard’s interchange system is known as BankNet,
    and Visa’s is known as VisaNet.
    A typical credit card purchase transaction is initiated by a
    cardholder who wants to make a purchase from a merchant.      The
    cardholder presents the card to the merchant in payment for
    goods or services.    The merchant swipes the cardholder’s card in
    a credit card terminal, and data (including the purchase amount,
    cardholder identifying information, and merchant identity) flows
    from the merchant to the acquiring bank and then from the
    acquiring bank through the association to the issuing bank.
    Approval or denial of the transaction then flows from the issuing
    bank back through the association to the acquiring bank and then
    to the merchant.    This flow of information typically takes place
    in a matter of seconds.
    The process by which Visa and MasterCard credit card
    purchases were generally authorized is depicted in the chart
    below.   In this hypothetical transaction:
    (a) A cardholder purchases a lamp for a total price of $100
    from a merchant using a Visa or MasterCard credit card issued by
    Capital One.    The card is swiped through an electronic terminal
    -17-
    at the merchant’s location.    The terminal is linked through the
    acquiring bank to the Visa or MasterCard network.     See step 1.
    (b) The amount of the transaction and the cardholder
    information is routed from the merchant to the acquiring bank.
    See step 2.
    (c)    The transaction information is routed from the
    acquiring bank through VisaNet or BankNet to Capital One.     See
    steps 3 and 4.
    (d) Capital One either authorizes or declines the
    transaction, and a message is routed electronically through
    VisaNet or BankNet to the acquiring bank, and then to the
    merchant.    See steps 5, 6, and 7.    (The example assumes Capital
    One authorizes the purchase.)
    (e) Once the merchant receives approval of the transaction,
    the cardholder provides the merchant with a signed transaction
    receipt, the merchant issues a receipt to the cardholder (sales
    receipt), and the cardholder departs with the lamp.     See steps 8,
    9, and 10.
    -18-
    By signing the transaction receipt, the cardholder promises
    to pay Capital One the total price shown thereon sometime in the
    future.   The cardholder may pay more than the total price shown
    on the transaction receipt.   For example, the cardholder may
    incur finance charges, late fees, or overlimit fees.
    With respect to a credit card purchase transaction, the
    amount Capital One authorized to be charged (the total purchase
    price) was equal to the amount it expected to be paid by the
    cardholder.   However, as discussed below, Capital One did not
    -19-
    authorize Visa or MasterCard to withdraw the total purchase price
    from its bank account as part of the net settlement process.
    F.   The Clearing Process
    For each credit card purchase transaction, the merchant
    furnished (either electronically or on paper) a detailed record
    to its acquiring bank that contained specific information about
    the transaction including the total price, the date of the
    purchase, the cardholder’s account number, the brand and type of
    credit card used, the merchant’s identifying information, the
    type of merchant (e.g., a grocery store or an airline), the type
    of transaction (e.g., a face-to-face purchase or an Internet
    transaction), and the issuing bank’s authorization code, if
    obtained.   The merchant had to transmit this information to its
    acquiring bank to receive payment for the purchase.   In turn, the
    acquiring bank was required to accept and pay all properly
    presented transaction receipts from its merchant.
    The acquiring bank consolidated and compiled information
    from all its merchants, calculated the applicable merchant
    discount (see section I, infra) for those merchants’ transactions
    on the basis of the applicable merchant codes and other factors,
    and then transmitted that information to the applicable
    association for settlement.   The association then sorted and
    provided the relevant cardholder transaction information from all
    the acquiring banks, along with the association’s interchange fee
    -20-
    computation, to each of its issuing banks for the respective
    issuing bank’s cardholder transactions via a transaction record.
    MasterCard and Visa computed the interchange fees on a
    transaction-by-transaction basis for every credit card
    transaction submitted.   The transaction records were compiled and
    reported daily to the issuing bank.
    G.   Net Settlement
    Capital One maintained a bank account with the Federal
    Reserve Bank of Richmond.   In accordance with their respective
    rules, the associations were authorized to withdraw/debit and/or
    deposit/credit funds into Capital One’s bank account to settle
    Capital One’s credit card transactions each day.   For credit card
    purchase transactions, the associations withdrew funds from
    Capital One’s account and deposited funds in the corresponding
    acquiring bank’s account.   Both MasterCard and Visa were
    authorized to withdraw only the total price less the applicable
    interchange fee from Capital One’s Federal Reserve Bank account.
    The process through which credit card purchase transactions
    were settled during the years at issue is shown in the
    illustration below.   This is an example of a single credit card
    purchase transaction, using a total price of $100, a hypothetical
    2-percent interchange fee, and a hypothetical merchant discount
    of 2.5 percent.   The example assumes that no other transactions
    occurred for the cardholder, the merchant, the acquiring bank, or
    -21-
    the issuing bank.   In settlement of this hypothetical
    transaction:
    a.   The association withdraws $98 from the issuing bank’s
    account, representing the $100 total price less the 2-percent
    interchange fee.
    b.   The association deposits $98 into the acquiring bank’s
    account, also representing the $100 total price less the 2-
    percent interchange fee.
    c.   The acquiring bank deposits $97.50 into the merchant’s
    bank account, representing the $100 total price less the 2.5-
    percent merchant discount.
    -22-
    Although the chart above illustrates the settlement of a
    single discrete cardholder credit card purchase transaction,
    transactions were not typically settled individually.       Rather,
    credit card transactions were aggregated and processed in large
    batches.   The associations’ settlement systems consolidated all
    batched transactions for a given period, usually daily, and
    settled accounts among the various members through a process
    known as direct net settlement.    Direct net settlement resulted
    in the netting of all cash due to, from, and between the
    associations’ respective members.       Association members were
    required to net settle their transactions unless two members
    agreed otherwise.10
    The association calculated the aggregate settlement position
    for each of its members.   The association then withdrew funds
    from a member with a negative aggregate settlement position;
    i.e., a member who owed funds.    With respect to credit card
    purchase transactions, the association withdrew funds from the
    issuing bank and deposited the net amount owed in the account of
    the acquiring bank.   The amount deposited by the association with
    the acquiring bank in these circumstances would equal the total
    credit card purchases made at all of that acquiring bank’s
    10
    Members could, but rarely did, negotiate agreements among
    themselves to settle the transactions, in what were known as
    bilateral agreements. Capital One did not enter into any
    bilateral agreements.
    -23-
    merchants by all the issuing bank’s cardholders less the total
    amount of interchange fees determined by the association with
    respect to those transactions.    Typically, the net settlement
    position determined by the association included any chargebacks11
    (reversed or canceled purchases initiated by issuing banks)
    processed that day, credits (initiated by merchants), and any
    other fees owed between issuing banks and acquiring banks.
    To complete the process, the acquiring bank determined the
    amount of funds, net of the applicable merchant discount, due
    each of its merchants with respect to that merchant’s aggregate
    settled credit card transactions.       However, this was not part of
    the associations’ net settlement processes.
    H.   Cardholder Payments
    When a Capital One cardholder signed a transaction receipt,
    the cardholder promised to pay Capital One the full purchase
    price in accordance with the terms of the cardholder agreement.
    Capital One sent its cardholders monthly statements containing
    detailed purchase transaction entries reflecting the amounts owed
    by the cardholders.   The monthly statements also listed fees
    Capital One charged the cardholders, such as overlimit fees or
    11
    When a chargeback was processed through MasterCard’s
    interchange system, the interchange rate applied to the reversal
    of the transaction was not necessarily the same rate that applied
    when the original transaction was settled.
    -24-
    late fees.    The monthly statements did not list the amount of
    interchange applicable to the transactions.
    Under the terms of the cardholder agreement, a cardholder
    was obligated to pay Capital One at least a certain amount
    (minimum payment) by the due date specified in the statement.
    The minimum payment was typically 2 or 3 percent of the
    cardholder’s outstanding balance with at least $10 or $15 due.
    The cardholder agreement did not specify a date by which the
    charge would have to be paid in full.
    The cardholder agreement provided for a grace period with
    respect to purchase transactions in which finance charges on new
    purchases could be avoided if the total outstanding balance was
    paid in full before the due date specified on the statement.      The
    cardholder agreement explained:
    You may avoid finance charge[s] on new purchases and on
    other new charges by paying the total new balance in
    full prior to the date payment is due (this is the
    grace period on new purchases). If you do not pay the
    entire new balance from the previous statement, finance
    charges will accrue on the entire previous new balance
    from the first date of the new billing period. Finance
    charges, when applicable, will be assessed as follows:
    •      Transactions made during the current billing
    period from transaction date.
    •      Undated transactions and transactions made
    with convenience checks: from the date the
    transaction is processed to your account.
    •      Transactions made prior to the current
    billing period: from the first calendar day
    of the current billing period.
    -25-
    Capital One provided its cardholders with a grace period that
    approximated 30 days.    Because Capital One’s billing cycles
    approximated 30 days and the grace period approximated 30 days, a
    cardholder could have up to 60 days between the date a credit
    card purchase was made and the date payment was due.
    Cardholders who routinely pay their balance in full every
    month are known in the credit card industry as transactors.
    Cardholders who routinely carry a balance on their card are known
    as revolvers.   Of Capital One’s total credit card purchase volume
    (in dollars), approximately 50 percent was attributable to
    transactors and 50 percent to revolvers.
    I.   Merchant Discount in Detail
    The difference between the total price of the goods or
    services sold to cardholders and the amount remitted to the
    merchant by the acquiring bank is known as the merchant discount
    or gross merchant discount.    The merchant discount was typically
    a fixed percentage of the total price of the goods or services
    sold and compensated acquiring banks for the services they
    provided the merchant.    Unlike interchange, the merchant discount
    was not determined by the association.    Rather, merchant
    discounts were negotiated between acquiring banks and their
    respective merchants.    The difference between the amount the
    acquiring bank receives from the issuing bank and the amount the
    acquiring bank sends to the merchant is generally known as the
    -26-
    net merchant discount; i.e., the difference between the gross
    merchant discount and the interchange fee.
    J.   Interchange in Detail
    MasterCard and Visa set the interchange rates on their
    respective systems but did not publish them during the years at
    issue.    At some point later, they began publishing their
    interchange rates.    Both MasterCard and Visa used the interchange
    system to maximize system participation through increased
    issuance of cards and increased acceptance by merchants.     If
    interchange rates were set too high, acquiring banks would raise
    the merchant discount, and merchants would be less likely to
    accept MasterCard or Visa cards.    If interchange rates were set
    too low, issuing banks were less likely to issue MasterCard or
    Visa cards because they might not have been able to cover their
    costs and make a sufficient profit.
    1.     Factors Influencing Interchange Rates
    To balance the interests of the various parties to a credit
    card purchase transaction and to maximize system participation,
    both Visa and MasterCard have implemented a variety of
    interchange rates.    The rates were based on a number of factors
    including:    (1) The method of the purchase (e.g., in person or on
    line); (2) the type of merchant; (3) the geographical area of the
    merchant (e.g., domestic or international); (4) the type of
    cardholder (e.g., individual/personal or corporate/business); (5)
    -27-
    in some instances the size of the transaction (e.g., a “large
    ticket” purchase over a certain threshold amount); and (6) the
    type of purchase (e.g., corporate travel and entertainment
    expense).
    The associations also set lower interchange rates to better
    compete with other payment systems or methods.       For example,
    supermarkets typically operated on low gross profit margins and
    were reluctant to accept Visa and MasterCard cards because of the
    merchant discount.   Both Visa and MasterCard implemented lower
    interchange rates for supermarkets, resulting in lower merchant
    discounts, thereby incentivizing card acceptance.       The
    associations also implemented lower interchange rates to better
    penetrate other markets including automated fuel dispensers.
    MasterCard’s interchange rates included the following
    categories:
    Program Name   1997-1998 Rates    1998-1999 Rates   1999-2000 Rates
    Consumer      2.15% + $0.10      2.35% + $0.10      2.65% + $0.10
    Standard
    Travel       1.35% + $0.10      1.43% + $0.10      1.58% + $0.10
    Industries
    Petroleum      1.35% + $0.05      1.40% + $0.05      1.50% + $0.05
    Terminal
    Supermarket         1.10%               1.15%                1.15%
    Corporate          2.25%           2.52% + 0.10      2.65% + 0.10
    Standard
    -28-
    Visa’s interchange rates included the following categories:
    Program Name         9/27/97-3/27/98       3/28/98-4/9/99
    Rates                 Rates
    Standard Commercial          2.00% + $0.11        2.09% + $0.10
    (Other than Certain
    Travel-Related Charges)
    CPS/Retail1 Commercial            1.25%                1.31%
    (Other than Certain
    Travel-Related Charges)
    CPS/Hotel and Car           1.93% + $0.06        2.02% + $0.10
    Rental
    Supermarket Incentive             1.10%                1.15%
    Program, Non-Commercial
    1
    CPS refers to “custom payment service”, Visa’s term for
    card transactions that are processed a certain way.
    2.     Capital One’s Costs and Interchange
    The costs of issuing banks, such as Capital One, were one
    factor associations considered when they set interchange rates.
    Both Visa and MasterCard studied issuing banks’ costs.
    MasterCard hired Edgar, Dunn & Co. (Edgar Dunn), a consulting
    firm, to study issuing banks’ costs as part of MasterCard’s
    process for setting interchange rates.      The costs studied
    included the grace period cost of funds for transactors, risk
    costs for credit card transactions generally (credit and fraud
    risks), and processing costs for credit card transactions.       These
    studies did not address the cost of funds for revolvers; that is,
    cardholders who carry a balance on their card and therefore pay
    monthly finance charges.    Edgar Dunn’s composite issuing bank
    cost figures were as follows:
    -29-
    Year                           Issuing Banks’ Costs1
    1997                   2.52 percent + $0.10 per transaction
    1998                   2.92 percent + $0.10 per transaction
    1999                   2.97 percent + $0.10 per transaction
    1
    Edgar Dunn broke the total cost down into components. The
    issuing bank’s cost of lending money, i.e., the financial
    carrying costs during the grace period, were .20 percent, .22
    percent, and .20 percent of the total purchase price during 1997,
    1998, and 1999, respectively. For 1997, 1998, and 1999, 2.32
    percent, 2.70 percent, and 2.77 percent of the total purchase
    price represented the total risk costs. Edgar Dunn calculated
    the issuing bank’s processing costs to be 10 cents per
    transaction.
    For 1997 Visa estimated that the average processing cost per
    transaction was 8.4 cents, with the actual costs ranging between
    4.8 cents and 11.4 cents.    For 2000 the average cost was 6.6
    cents per transaction, with the actual costs ranging between 3.8
    cents and 9.7 cents per transaction.     For 1998 and 1999 Capital
    One’s cost of processing a credit card transaction was likely
    between 4.6 cents and 8.2 cents per transaction.
    3.   Debit Cards and Interchange
    During the years at issue Capital One did not issue
    signature debit cards.12    A signature debit card is linked to the
    12
    Capital One also did not issue PIN debit cards which are
    linked to a cardholder’s checking account issued by the
    cardholder’s bank. Unlike signature debit cards, the systems are
    not operated by Visa or MasterCard; these systems are operated by
    a number of other systems, including Plus and Cirrus. Rather
    than signing her name, the cardholder enters her PIN. A PIN
    debit transaction is processed through an electronic funds
    transfer network and effects an immediate withdrawal from the
    (continued...)
    -30-
    cardholder’s deposit account, from which the purchase price of
    the goods or services purchased is withdrawn, as opposed to a
    credit card which evidences a line of credit.    However, other
    issuing banks which were members of the associations did offer
    debit cards.    Both Visa and MasterCard set interchange rates for
    their debit cards.    MasterCard’s interchange rates for credit
    card transactions were identical to those for debit card
    transactions for each of MasterCard’s consumer interchange
    programs.   In a number of instances, Visa’s debit card
    interchange rates were equal to the interchange rates for its
    credit card transactions.    Data published by the Federal Reserve
    System in a report to Congress shows that until 2002, the
    interchange rate on signature debit card transactions was only
    slightly lower than the interchange rate on credit card
    transactions.
    4.     Capital One’s Accounting Treatment of Credit Card
    Purchases and Associated Interchange Income
    Capital One kept track of all its cardholders’ charges in
    what is known as its cardholder account system (CAS).     The CAS
    reflected the amount of each purchase made with a Capital One
    card which was the same as the total purchase price of whatever
    the cardholder purchased in that particular transaction.     The CAS
    12
    (...continued)
    cardholder’s account to satisfy the purchase amount. There can
    be interchange and a merchant discount in these transactions as
    well, either a percentage or a flat fee.
    -31-
    did not reflect any detail with respect to the amount of
    interchange received.   Capital One maintained so called “310
    reports”, which were monthly summaries aggregating transaction
    data and financial accruals.   The 310 reports did not include any
    information about interchange either on an individual cardholder
    basis or on an aggregate basis.
    For financial accounting purposes, Capital One accounted for
    credit card purchase amounts and interchange fees through
    separate systems.   Capital One used daily summary reports from
    Visa and MasterCard for purposes of booking interchange income.
    Using the example of a $100 purchase transaction with a $2
    interchange fee, Capital One would enter the purchase amount as
    “credit card outstanding” (an account receivable).   The $2
    interchange fee would be credited as “interchange income”.     For
    financial accounting purposes, Capital One reported interchange
    income as “noninterest income”.
    Before 1998 Capital One recognized income from late fees and
    overlimit fees for both financial accounting purposes and Federal
    income tax purposes at the time the fees were charged to the
    cardholder.   Before 1998 Capital One recognized interchange
    income for both financial accounting and Federal income tax
    purposes at the time its cardholders’ transactions were net
    settled under the Visa and MasterCard rules.   For financial
    -32-
    accounting and regulatory reporting purposes,13 Capital One
    differentiated between interest and noninterest income according
    to whether the particular income was attributable to an activity
    of the cardholder.   For example, Capital One treated cash advance
    fees as noninterest income because a cardholder would have
    withdrawn cash at an ATM or a bank.14   Similarly Capital One
    treated interchange as noninterest income for financial
    accounting and regulatory reporting purposes because it is
    triggered by the cardholder’s purchase.
    On their Federal income tax returns for 1998 and 1999,
    petitioners recognized Capital One’s income from overlimit fees,
    cash advance fees, and interchange fees as creating or increasing
    the amount of OID on Capital One’s pool of credit card loans,
    thereby deferring the recognition of income and reducing their
    Federal income tax liabilities.   Respondent challenges
    petitioners’ treatment of Capital One’s interchange income as
    creating or increasing OID under section 1272(a)(6)(C)(iii).
    13
    The regulatory reports were filed with the Office of the
    Comptroller of Currency.
    14
    For Federal income tax purposes Capital One treated cash
    advance fees as creating or increasing OID before 1998 as well as
    after 1998. Respondent has conceded this treatment is proper.
    -33-
    OPINION
    A.   An Overview of the Issue and the Law
    Under section 1272(a)(6)(C)(iii) taxpayers that issue credit
    cards and lend money to their cardholders are required to treat
    certain credit card receivables as creating or increasing OID on
    the pool of credit card loans to which the receivables relate.
    See Capital One Fin. Corp. v. Commissioner, 
    130 T.C. 147
    , 150
    (2008).   The issue is whether Capital One’s interchange income is
    properly recognized over time under section 1272(a)(6)(C)(iii),
    or whether interchange income is properly recognized at the time
    the cardholders’ charge is settled under the respective
    associations’ systems.   In our prior Opinion, Capital One Fin.
    Corp. v. Commissioner, supra at 150-151, we described in general
    terms the OID rules and section 1272(a)(6)(C)(iii):
    The holder of a debt instrument with OID generally
    accrues and includes in gross income, as interest, the
    OID over the life of the obligation, even though the
    interest may not be received until the maturity of the
    instrument. Sec. 1272(a)(1). The amount of OID with
    respect to a debt instrument is the excess of the
    stated redemption price at maturity (SRPM) over the
    issue price of the debt instrument. Sec. 1273(a)(1).
    The SRPM includes all amounts payable at maturity.
    Sec. 1273(a)(2). In order to compute the amount of OID
    and the portion of OID allocable to a period, the SRPM
    and the time of maturity must be known. This presents
    a problem for debts such as credit card loans and real
    estate mortgages that may be satisfied over a very
    short or a very long period, thus making the time of
    maturity an unknown at the inception of the debt.
    -34-
    For this reason, special rules were created for
    determining the amount of OID allocated to a period for
    certain instruments that may be subject to prepayment.
    In the case of (1) any regular interest in a real
    estate mortgage investment conduit (REMIC), (2)
    qualified mortgages held by a REMIC, or (3) any other
    debt instrument if payments under the instrument may be
    accelerated by reason of prepayments of other
    obligations securing the instrument, the daily portions
    of the OID on such debt instruments are determined by
    taking into account an assumption regarding the
    prepayment of principal for such instruments. Sec.
    1272(a)(6)(C)(i) and (ii).
    Section 1272(a)(6)(C)(iii) applies this special
    OID rule to any pool of debt instruments the payments
    on which may be accelerated by reason of prepayments.
    It is clear that section 1272(a)(6)(C)(iii) was
    intended to apply to credit card loans and the related
    receivables. See H. Conf. Rept. 105-220, at 522
    (1997), 1997-4 C.B. (Vol. 2) 1457, 1992. What was
    unclear at the time of enactment and is still not fully
    resolved is which credit card receivables increase OID
    under section 1272(a)(6)(C) and which do not.
    [Fn. ref. omitted.]
    Respondent has conceded that as a general proposition cash
    advance fees, overlimit fees, and late fees may be treated as
    creating or increasing OID on the pool of loans to which such
    income relates.    See id. at 153-154.
    B.   The SRPM of a Credit Card Loan
    The parties agree that the SRPM of a credit card loan is the
    sum of all payments provided by the debt instrument other than
    finance charges.   See sec. 1.1273-1(b), Income Tax Regs.   In the
    example of a $100 purchase of goods or services from the
    merchant, the SRPM is equal to $100 because the cardholder, if
    -35-
    she lived up to her agreement, would have paid at least $100 to
    Capital One.   The starting point for the SRPM is the total price
    of the goods or services the cardholder purchases.   The SRPM may
    increase if the cardholder incurs a late fee or an overlimit fee,
    but the SRPM is not increased by any finance charges, i.e.,
    qualified stated interest,15 incurred.
    C.   The Issue Price of a Credit Card Loan
    The parties dispute the calculation of the issue price of a
    credit card loan.   Section 1273(b)(2) defines the issue price of
    an instrument issued for money and not publicly offered as “the
    price paid by the first buyer of such debt instrument.”    The
    regulations expand on this definition:
    if an issue consists of a single debt instrument that
    is issued for money, the issue price of the debt
    instrument is the amount paid for the debt instrument.
    For example, in the case of a debt instrument
    evidencing a loan to a natural person, the issue price
    of the instrument is the amount loaned. * * *
    Sec. 1.1273-2(a)(1), Income Tax Regs. If X Bank lends $1,000 to
    A, an individual, the issue price of the loan would be $1,000.
    However, a credit card loan is part of a multiparty
    transaction where the funds lent are sent to the merchant via the
    15
    Qualified stated interest is defined as the “stated
    interest that is unconditionally payable in cash or in property
    (other than debt instruments of the issuer), or that will be
    constructively received under section 451, at least annually at a
    single fixed rate”. Sec. 1.1273-1(c)(1)(i), Income Tax Regs.
    -36-
    acquiring bank.   The cardholder never receives the funds, and the
    funds received by the merchant are always less than the amount
    the cardholder must repay.   The issue price of a credit card loan
    is the price paid for the debt instrument.16   Sec. 1273(b)(2).
    Petitioners argue that Capital One acquired the loan at a
    discount from the price at which the cardholder purchased goods
    or services from the merchant, with the discount being the amount
    of interchange, i.e., $2 for a $100 purchase, where Capital One
    actually advanced $98 to the acquiring bank.   Respondent argues
    that Capital One cannot have acquired the loan at a discount
    because the acquiring bank, and not the cardholder, paid
    interchange to Capital One during the net settlement process.
    Further, respondent argues that interchange was a fee for
    services rendered by the issuing bank, not economically
    equivalent to interest, and therefore not OID.
    1.   Whether Interchange Is a Fee for a Service (and If So,
    What Service) or Economically Equivalent to Interest
    16
    If the issue price was the “amount loaned”, see sec.
    1.1273-2(a)(1), Income Tax Regs., the parties would still dispute
    the amount loaned to the cardholder. Using the $100 purchase
    example, the amount loaned could be $98 or $100, depending on
    whether interchange is viewed as a fee for a service as
    respondent contends or as a discount as petitioners contend. In
    this way, determining the issue price by determining the “amount
    loaned” would require the same analysis as determining the “price
    paid” for the credit card loan, and our conclusion would be the
    same.
    -37-
    Respondent argues that interchange is a fee for a service,
    and that Capital One acquired a credit card loan for an amount
    equal to the full price at which the cardholder purchased goods
    or services from the merchant, but that Capital One
    simultaneously received a payment from the acquiring bank equal
    to the interchange amount.   Thus in respondent’s view the issue
    price paid by Capital One to acquire the loan would be the total
    purchase price of the goods or services which would in turn equal
    the SRPM resulting in no OID.
    In determining whether interchange is a service fee or
    economically equivalent to interest, we draw on other areas of
    the tax law where distinctions between fees and interest have
    been made.   Courts, including this Court, have held that fees
    earned by a lender relating to the lending of money are properly
    treated as interest unless the fee is for a specific service.
    Although courts look to all the facts and circumstances to
    determine whether an item of income is a service fee or interest,
    the primary inquiry is whether the charge compensates the lender
    for specifically stated services it provided to and for the
    benefit of the borrower beyond the lending of money.   In W.
    Credit Co. v. Commissioner, 
    38 T.C. 979
    , 980 (1962), affd. 
    325 F.2d 1022
     (9th Cir. 1963), a lender in the business of making
    small loans to individuals levied a “contract charge” and a
    “carrying charge” on each loan.   The contract charge was $10 if
    -38-
    the loan was $100 or less, and was the greater of $15 or 3
    percent of the loan if the loan exceeded $100.       
    Id.
       It was not
    related to the duration of the loan and was not allocated to
    specific services.   Id. at 987.   The carrying charge was 1
    percent per month of the principal sum of the loan if the loan
    was for $100 or more.   Id. at 980.    The lender also charged fees
    for filing and recording chattel mortgages and life insurance
    premiums on the borrower’s life.      Id.   The issue we faced was
    whether the contract charge constituted interest.      We held:
    We do not think the mere fact that the contract
    designates certain uses to which the funds will be put
    makes the charge any less a fee paid by the borrower
    for use of the lender’s money, unless it is shown that
    the charge was actually used for such purposes and the
    charge is justifiably a charge to the borrower separate
    from interest. Unless such can be shown, we believe
    the service charges made by small loan companies must
    be considered interest because basically the nature of
    the small loan company business is to make a profit in
    the form of interest on money loaned and the borrower
    is interested only in obtaining the loan and pays
    whatever is required of him to get the use of the
    lender’s money. * * *
    Id. at 987-988; see Noteman v. Welch, 
    108 F.2d 206
    , 213 (1st Cir.
    1939) (3-percent fee charged to all borrowers was interest
    because the only consideration the borrower received was the use
    of the money lent); Seaboard Loan & Sav. Association v.
    Commissioner, 
    45 B.T.A. 510
    , 516 (1941) (service fees charged by
    a loan company ostensibly for investigating, closing, and
    servicing loans were interest because “all the services charged
    for were for the benefit of the lender and not for the benefit of
    -39-
    the borrower, and the only consideration received for the amounts
    paid by the borrower was the money loaned”).
    On direct examination by respondent, MasterCard’s Steven
    Jonas, the senior business leader for financial analysis with
    MasterCard Worldwide,17 was asked whether interchange compensated
    an issuing bank for a specific service.   He testified:
    I don’t think directly. I think the issuers are
    providing a service to the cardholders, enabling them
    to go out and transact. Not directly - I mean, to some
    extent, the issuer does provide value to a merchant
    because they now have enabled the cardholder to go out
    and make purchases, and the acquirer makes money by
    processing transactions. And the merchant makes money
    by selling goods and services. But I think I view the
    transaction, the service being provided is to the
    cardholder who is borrowing money and, therefore, going
    out and making purchases.
    Similarly, when asked about his statement that “Interchange rates
    are not a fee for any specific service provided by issuing
    banks”, William Sheedy, the president of Visa, Inc.,18 explained:
    We’re not looking at any particular service. We’re
    considering the product in general, the premium credit
    product. We want the issuers to invest in that
    product, to choose to do business with Visa, as
    compared to our competitors. And we also want the
    product and rate structure to be configured in a way
    that the issuers will prioritize that within their
    business and market it and promote it and put resources
    against it, because our experience is when that
    happens, it grows our business.
    17
    Mr. Jonas was responsible for, among other things, the
    development and implementation of MasterCard’s interchange rate
    programs in the United States.
    18
    Mr. Sheedy had previously been employed as the executive
    vice president of interchange strategy for Visa, U.S.A., Inc.
    -40-
    Respondent’s expert witness, Dr. Richard Schmalensee,19
    testified that the service provided “is putting customers on the
    streets with cards eager to use them to buy from merchants.”
    Credit cards evidence a line of credit on which cardholders can
    draw, and providing credit cards that can be used to make
    purchases is the lending of money.     Certainly the lending of
    money benefits cardholders, merchants, and acquiring banks, but
    the receipt of a benefit does not mean that those parties have
    been provided a service other than the lending of money to the
    cardholder.
    In arguing that interchange is a fee for a service,
    respondent focuses on the purpose of interchange, which is to
    balance the two sides of the credit card business to encourage
    the overall growth of the respective systems.     If interchange
    rates are set too high, acquiring bank and merchant participation
    are disincentivized.    If interchange is set too low, card issuing
    is disincentivized.    Respondent makes much of MasterCard’s and
    Visa’s desire to use optimal interchange rates to increase their
    business.   However, using interchange to balance the two sides of
    the credit card business is entirely consistent with petitioners’
    19
    Dr. Schmalensee is the Howard W. Johnson Professor of
    Management and Economics at the Massachusetts Institute of
    Technology and the John C. Head III Dean Emeritus of the
    Massachusetts Institute of Technology Sloan School of Management.
    He is the coauthor of two editions of Paying with Plastic (1999 &
    2005), a text on the economics of payment card systems.
    -41-
    position that interchange compensates issuing banks for the cost
    of lending money.
    We agree that setting interchange rates is a balancing act,
    but we ask:   what are the associations balancing?   MasterCard and
    Visa balance the issuing banks’ and the acquiring banks’ needs to
    profit on credit card transactions.    Profit is the excess of
    revenues over costs.   When lending money to its cardholders,
    Capital One incurs the cost of processing transactions, financial
    carrying costs, and the risk costs associated with credit card
    transactions, for example, the risk that fraud was committed
    (fraud risk) and the risk that the cardholder will be unable to
    repay the loan (credit risk).   In short, interchange compensates
    banks for the costs of lending money.
    Respondent argues that interchange has little to do with the
    costs of lending money, specifically the time value of Capital
    One’s money lent to the cardholders.    In respondent’s view if
    interchange is not akin to interest, it must be a fee for a
    service.   Respondent’s argument presupposes that for interchange
    to be treated as creating or increasing OID, it must be
    economically equivalent to interest.
    OID “serves the same function as stated interest * * *; it
    is simply ‘compensation for the use or forbearance of money.’”
    United States v. Midland-Ross Corp., 
    381 U.S. 54
    , 57 (1965)
    (citations omitted).   Under section 1273(a)(2) an amount payable
    -42-
    at the maturity of a debt instrument need not bear all the
    characteristics of interest to be included in the SRPM, and thus
    increase the amount of OID on the instrument.   Section 1273(a)(2)
    defines the SRPM as:
    the amount fixed by the last modification of the
    purchase agreement and includes interest and other
    amounts payable at that time (other than any interest
    based on a fixed rate, and payable unconditionally at
    fixed periodic intervals of 1 year or less during the
    entire term of the debt instrument). [Emphasis added.]
    If Capital One acquired the loan for less than the SRPM, there
    was OID on the transaction regardless of whether amounts included
    in the SRPM and not included in the issue price were equivalent
    to interest.   Nevertheless, interchange resembles interest in
    many ways.
    For many transactors interchange would be the only revenue
    Capital One receives.20   The length of Capital One’s loan to a
    transactor may be as little as a day or two (if the cardholder
    pays Capital One immediately upon making a charge) or as long as
    60 days (if the cardholder makes a charge on the first day of the
    billing cycle and pays the statement balance on the last day of
    the grace period).   Whether for 1 day or 60, Capital One has
    forgone the use of those funds, and payments for such use
    resemble interest.   If interchange is not payment for the use of
    20
    The exception would be a cardholder who paid an annual fee
    for the privilege of having a Capital One card or a cardholder
    who incurred another fee such as an overlimit fee.
    -43-
    the funds Capital One has lent, then Capital One would not have
    received compensation for the use of approximately half the funds
    lent to its cardholders.   With respect to transactors,
    interchange compensates Capital One for the expenses and costs
    associated with lending money to cardholders, including financial
    carrying costs and credit and fraud risks.
    MasterCard’s rules explain the relationship between
    interchange fees and issuing banks’ costs of lending:
    Purpose of Fees. The interchange fee * * * [is]
    designed to compensate a member for particular expenses
    that it incurs as the result of interchange
    transactions. For sale transactions, various elements
    of expense make up the interchange fee, including costs
    of processing, costs of money, and increased risk due
    to the use of MasterCard cards in interchange
    transactions.
    Respondent’s expert witness, Dr. Schmalensee, testified that
    “[interchange is] a revenue stream that serves to compensate
    banks for all the costs involved in credit card and other payment
    card programs.”
    In determining interchange rates, Visa and MasterCard
    studied and considered issuing banks’ costs of lending.    The
    Edgar Dunn studies break down an issuing bank’s costs into three
    of the largest categories: Risk costs, financial carrying costs,
    and processing costs.   Risk costs include credit and fraud risks.
    The financial carrying costs are the “imputed interest cost to
    the issuing member of carrying the interchange transactions from
    -44-
    the time of account posting to the receipt of funds or accruing
    of cardholder interest by the issuing member.”
    Petitioners’ expert witness, Dr. Peter Tufano,21 explained
    that when interchange is viewed as an “economic” interest rate,
    the average annualized rate is “similar to those of interest
    rates for unsecured consumer loans during 1998 and 1999.”   The
    speed at which the cardholder loan is paid off can dramatically
    affect this rate, returning seemingly exorbitant interest rates
    of over 100 percent in situations where the cardholder pays the
    loan off within a few days.   However, very high interest rates
    are not uncommon in numerous forms of unsecured consumer lending,
    such as so-called payday loans where the effective interest rate
    can be between 390 and 500 percent depending on when the loan is
    repaid.   That the effective interest rate varies depending on
    when the cardholder pays off the loan does not affect the
    function of interchange, which is to compensate issuing banks for
    the cost of lending money.
    Respondent also invites our attention to signature debit
    cards, which involve little or no lending, just a “float” of at
    21
    Dr. Tufano is the Sylvan C. Coleman Professor of Financial
    Management and Senior Associate Dean at Harvard Business School.
    He has taught courses in finance, capital markets, financial
    engineering, and consumer finance in the MBA and Executive
    Programs at Harvard Business School.
    -45-
    most 1 or 2 days.22   Visa’s and MasterCard’s interchange rates for
    signature debit cards were often identical to the interchange
    rates for credit cards during the years at issue.   Until 2002
    interchange rates on debit card transactions were only slightly
    lower than the rates on credit card transactions.   Respondent
    concludes that interchange is not equivalent to interest because
    similar interchange rates were used for debit cards, which
    involve little to no lending.   Just as the associations
    considered several factors in setting credit card interchange
    rates, we assume they considered similar factors in setting debit
    card interchange rates.   The similarity between the rates during
    the years at issue does not negate our conclusion that
    interchange compensates Capital One for its costs of lending
    money.
    Revolvers, as opposed to transactors, pay finance charges
    which are stated separately on the cardholder’s monthly
    statements.   Stated finance charges compensate Capital One for
    the use of the money lent, and revolvers do not have the benefit
    of a grace period during which they receive the use of funds
    interest free.   Dr. Tufano testified that, with respect to
    revolvers, interchange is viewed as additional compensation for
    the use of the money lent.   Dr. Tufano analyzed the effective
    22
    Capital One did not issue signature debit cards during the
    years at issue. See paragraph J.3., supra.
    -46-
    interests rate of interchange fees on a revolving account and
    determined that, on average, interchange raises the annual
    percentage rate by about 1.7 percent, which was still comparable
    with other types of consumer loans.
    Credit and fraud risks are also costs associated with
    lending money.   Interest, including OID, compensates lenders for
    the time value of their money, the risk that the borrower may not
    repay principal, and the expenses of pursuing delinquent debtors.
    Noteman v. Welch, 
    108 F.2d at 212-213
    ; Bank of Am. v. United
    States, 
    230 Ct. Cl. 679
    , 
    680 F.2d 142
    , 148 (1982) (“interest
    typically covers credit risk, credit administration, and cost of
    funds.”).
    Interchange resembles interest in other ways as well.    In
    almost all instances, it is expressed as a percentage of the
    amount lent, usually with an additional nominal fee.23   Thus, as
    the amount of the loan increases, the amount of interchange
    increases, just as the amount of interest increases as the amount
    of the loan increases.   As we said in Fort Howard Corp. & Subs.
    v. Commissioner, 
    103 T.C. 345
    , 374 (1994), modified on another
    issue 
    107 T.C. 187
     (1996):   “Crucial in establishing whether a
    particular payment constitutes interest is whether the payment
    23
    The nominal fee portion of interchange transactions is
    usually between $.05 and $.10. In 1999 the average interchange
    fee for a Visa credit card transaction was $1.62. Therefore, the
    nominal fee accounted for between 3 and 6 percent of the total
    fee.
    -47-
    bears some relationship to the amount borrowed”.    See also Sharp
    v. Commissioner, 
    75 T.C. 21
    , 32 (1980), affd. 
    689 F.2d 87
     (6th
    Cir. 1982); Lay v. Commissioner, 
    69 T.C. 421
    , 438 (1977).
    Respondent argues that interchange rates were not driven by
    movements in market interest rates.    For example, between 1999
    and 2004 the prime rate fell from 8 percent to 4 percent, yet
    average interchange rates rose slightly, from 1.62 percent to
    1.71 percent.   Petitioners’ expert witness, David Boucher,
    counters that certain interest rates are “sticky” in that they do
    not often change, and that sticky interest rates are not uncommon
    in consumer lending.    For example, the interest rate for payday
    loans has not changed in at least 10 years.    Furthermore,
    interchange rates take into account various other factors such as
    credit and fraud risk, processing costs, and Visa’s and
    MasterCard’s efforts to maximize their business by competing with
    other payment systems and balancing the competing sides of the
    credit card business.
    That interchange did not cover all of Capital One’s costs of
    lending does not make it less “interestlike”.    Interchange rates
    were not set by Capital One but were set by VISA and MasterCard
    to increase their business, compete with other payment card
    systems, and penetrate new markets.    To continue issuing Visa and
    MasterCard credit cards Capital One was required to accept those
    rates.   Whether interchange covered all of Capital One’s costs,
    -48-
    or covered just a small fraction of them for certain types of
    credit card transactions is not dispositive of our determination
    of whether interchange is a fee for a service or economically
    equivalent to interest.24
    We conclude that interchange is not a fee for any service
    other than lending money to cardholders, income from which is
    generally treated as interest.    Petitioners have shown that
    interchange fees are a form of interest compensating Capital One
    for the costs of lending money.
    2.   Whether the Cardholder, the Merchant, or the Acquiring
    Bank Pays Interchange
    The parties present two competing views of a credit card
    purchase transaction.   Petitioners argue that Capital One
    acquired the credit card receivable, i.e., the transaction
    receipt, from the acquiring bank.       This would suggest that
    Capital One acquired the debt instrument at a discount.
    Returning to the $100 purchase with 2-percent interchange
    example, Capital One authorized the cardholder to make a $100
    purchase, but Capital One did not authorize MasterCard or Visa to
    withdraw $100 from its account.    It authorized only a $98
    withdrawal, the purchase price less interchange.       Respondent
    24
    Petitioners argue that a credit card purchase transaction
    is like a factoring transaction. However, the record is devoid
    of any evidence that Capital One engaged in factoring; that is to
    say, Capital One did not purchase debts owed to another, stepping
    into the lender’s shoes, but is itself the lender ab initio.
    -49-
    contends that Capital One lends the cardholder $100 for the
    cardholder’s promise to pay $100, and that the acquiring bank
    paid Capital One $2.    In this scenario, $2 would be a fee for
    services and not OID.
    Neither the Code nor the regulations define the term “paid”,
    but courts have generally defined it as the paying out of cash or
    its equivalent.   See United States v. Clardy, 
    612 F.2d 1139
    , 1151
    (9th Cir. 1980) (“The classic definition of ‘paid’ * * * [in the
    context of interest deductions under section 163(a)] is ‘a
    payment (of) cash or its equivalent’.”).     In a credit card
    transaction cash flows as an initial matter from the issuing
    bank, not to the issuing bank; therefore petitioners argue that
    the cashflow from the issuing bank to the acquiring bank was the
    amount paid for the debt instrument.
    But the debate about who really bears the cost of
    interchange is largely academic, and we need not, and do not,
    base our decision on its outcome.      Whether merchants, acquiring
    banks, or cardholders ultimately pay interchange is not
    determinative of the tax treatment of interchange.     If we accept
    respondent’s argument that acquiring banks pay interchange to
    issuing banks, we would still conclude that interchange is
    properly treated as creating or increasing OID on the pool of
    loans to which it relates.
    -50-
    Section 1.1273-2(g)(4), Income Tax Regs., provides:
    If, as part of a lending transaction, a party other
    than the borrower (the third party) makes a payment to
    the lender, the payment is treated in appropriate
    circumstances as made from the third party to the
    borrower followed by a payment in the same amount from
    the borrower to the lender and governed by the
    provisions of paragraph (g)(2) of this section. * * *
    Section 1.1273-2(g)(2)(i), Income Tax Regs., provides:
    a payment from the borrower to the lender (other than a
    payment for property or for services provided by the
    lender, such as commitment fees or loan processing
    costs) reduces the issue price of the debt instrument
    evidencing the loan. * * *
    Respondent argues that interchange is not a part of a
    lending transaction because the purpose of interchange is to
    balance the competing interests of the issuing and acquiring
    banks.    As discussed earlier interchange compensates issuing
    banks for the costs of lending money, and but for the lending of
    money, Capital One would not earn any interchange.    In short,
    interchange is part of a lending transaction.25
    Under respondent’s theory, a third party, the acquiring
    bank, pays interchange to the lender, Capital One.    As discussed
    above, that payment is not for property or services provided by
    the lender other than the service of lending of money to the
    25
    At trial, Dr. Schmalensee, respondent’s expert, was asked:
    “you would agree with me, wouldn’t you, Dr. Schmalensee, that
    interchange in a Visa or MasterCard credit card transaction is
    part of a lending transaction, isn’t that correct?” Dr.
    Schmalensee replied: “It’s part of a lending transaction.”
    -51-
    cardholder.26   Therefore, under section 1.1273-2(g)(4), Income Tax
    Regs., that payment may, in appropriate circumstances, be treated
    as a payment from the cardholder to the lender.   The question is:
    what are appropriate circumstances?
    The regulations provide an example of a situation in which a
    payment from a third party to a lender results in OID.   Section
    1.1273-2(g)(5), Example (3), Income Tax Regs., describes a
    situation where a real property seller pays the buyer’s “points”
    to facilitate the buyer’s loan to purchase property:
    (i) Facts. A sells real property to B for
    $500,000 in a transaction that is not a potentially
    abusive situation (within the meaning of §1.1274-3). B
    makes a cash down payment of $100,000 and borrows
    $400,000 of the purchase price from a lender,      L,
    repayable in annual installments over a term of 15
    years calling for interest at a rate of 9 percent,
    compounded annually. As part of the transaction, A
    makes a payment of $8,000 to L to facilitate the loan
    to B.
    (ii) * * * Under the provisions of paragraphs
    (g)(2)(i) and (g)(4) of this section, B is treated as
    having made an $8,000 payment directly to L and a
    payment of only $492,000 to A for the property. * * *
    The payment to L reduces the issue price of B’s debt
    instrument to $392,000, resulting in $8,000 of OID
    ($400,000 - $392,000). * * *
    26
    Respondent argues that in exchange for paying interchange
    merchants receive substantial services from Capital One including
    protection from fraud and credit risk, the reduced costs of
    handling cash, reduced employee costs, increased sales, and
    access to new markets. Merchants certainly receive benefits from
    consumers’ use of credit cards, but Capital One does not provide
    merchants a service simply because merchants receive a benefit.
    As discussed above, the service provided is the lending of money,
    which benefits all the parties in a credit card purchase
    transaction.
    -52-
    A credit card loan is not a “potentially abusive situation”
    under section 1.1274-3(a), Income Tax Regs.   In this example the
    seller pays the purchaser’s points in order to facilitate the
    loan.   Mr. Sheedy, Mr. Jonas, Dr. Schmalensee, and Dr. Tufano all
    testified that interchange encourages issuing banks to lend money
    to cardholders so that the cardholders can make purchases.
    Under these circumstances, we conclude that even if
    respondent is correct that the acquiring bank pays interchange to
    the issuing bank, that amount is considered a payment between a
    third party and a lender which reduces the issue price of the
    debt instrument under section 1.1273-2(g)(2)(i) and (4), Income
    Tax Regs.
    D.   Conclusion With Respect to the Interchange Issue
    The SRPM of a credit card loan is the purchase price of the
    goods and services financed by the loan.   The issue price of a
    credit card loan is the amount the issuing bank pays for the
    loan.   Because Capital One authorized MasterCard and Visa to
    withdraw the purchase price less the applicable interchange
    amount for every credit card purchase transaction, Capital One
    paid an amount less than the SRPM for the credit card loan.     The
    difference between the SRPM and the issue price, the interchange
    on the transaction, is therefore properly treated as OID.
    -53-
    Issue 2:   The Calculation of OID Under Section 1272(a)(6)(C)
    FINDINGS OF FACT
    A.    Accounting Methods
    On August 5, 1997, Congress enacted the Taxpayer Relief Act
    of 1997 (TRA), Pub. L. 105-34, sec. 1004, 
    111 Stat. 911
    , which
    added section 1272(a)(6)(C)(iii) to the Code.    On September 15,
    1999, COB submitted Form 3115, Application for Change in
    Accounting Method, by attaching it to petitioners’ consolidated
    Federal income tax return for 1998.     Capital One Fin. Corp. v.
    Commissioner, 130 T.C. at 149.    COB stated on the Form 3115:
    Capital One Bank (COB), a domestic corporation,
    requests permission under Section 12.02 of Rev. Proc.
    98-60 to change its method of accounting for interest
    and original issue discount that are subject to the
    provisions of Section 1004 of the Tax Relief Act of
    1997.
    FSB did not submit Form 3115 to respondent requesting permission
    to change its accounting method to conform to the requirements of
    section 1272(a)(6)(C)(iii) and TRA section 1004.
    Nevertheless, FSB as well as COB treated overlimit fees and
    interchange as creating or increasing OID under section
    1272(a)(6)(C)(iii) on petitioners’ consolidated 1998 and 1999
    returns.   To calculate the proper amount of OID includable on
    their returns, COB and FSB used a complex formula developed by
    the accounting firm KPMG (KPMG model).    After discussing section
    1272(a)(6) and the principles behind calculating OID under that
    -54-
    section for a pool of loans, we will discuss the KPMG model in
    detail.
    B.    Income and OID Accruals of Overlimit Fees and Interchange
    The following chart shows the fees COB27 earned for book
    purposes (when the fee was charged to the cardholder in the case
    of overlimit fees and when the cardholder’s purchase was settled
    by the associations in the case of fees for interchange), the
    amount of COB’s related OID included on petitioners’ consolidated
    income tax return, the difference between them, and the amount of
    accrued but unrecognized OID carrying over to the following year.
    Overlimit Fees
    Overlimit         Income
    Fee Income       Recognized     Difference:   Unamortized
    Taxable     for book        per KPMG        Book v.     OID Bal. at
    Year       purposes          Model       KPMG Model    End of Year
    1995      $62,492,312     $21,823,631    $40,668,680   $40,668,681
    1996      147,929,903      71,177,420     76,752,482   117,421,163
    1997      288,906,382     192,694,592     96,211,790   213,632,953
    1998      436,215,910     323,714,900    112,501,010   326,133,963
    1999      539,618,976     488,702,655     50,916,321   377,050,283
    27
    We include data with respect to COB only because of our
    holding, infra par. A, that FSB did not request permission to
    change its method of accounting for overlimit fee and interchange
    income and therefore may not treat such income as increasing or
    creating OID.
    -55-
    Interchange Fees
    Income
    Recognized    Difference:     Unamortized
    Taxable     Interchange     per KPMG       Book v.       OID Bal. at
    Year       Book Income       Model      KPMG Model      End of Year
    1995       $76,425,718    $26,786,819     $49,638,899   $49,638,899
    1996        97,892,344     68,308,342      29,584,002    79,222,901
    1997       109,487,559     94,175,860      15,311,699    94,534,599
    1998       168,336,313    126,972,006      41,364,307   135,898,906
    1999       298,347,199    223,016,501      75,330,698   211,229,604
    OPINION
    A.      Accounting Methods
    In 1997 Congress added section 1272(a)(6)(C)(iii) to allow
    taxpayers to change their method of accounting to accrue original
    issue discount on a pool of credit card receivables. TRA sec.
    1004.    Rev. Proc. 98-60, app. sec. 12, 1998-
    2 C.B. 759
    , 786,
    provided procedures by which taxpayers could receive “automatic
    consent” to change their method of accounting for pools of credit
    card receivables in accordance with section 1272(a)(6)(C).          Under
    the revenue procedure, automatic consent was achieved by filing
    Form 3115 with a taxpayer’s return.        
    Id.
     sec. 6.02, app. sec. 12,
    1998-2 C.B. at 765, 786.
    Our previous Opinion addressed the parties’ cross-motions
    for partial summary judgment on the issue of whether COB and FSB
    were permitted to change their treatment of 1998 and 1999 late-
    fee income to the method called for by section
    -56-
    1272(a)(6)(C)(iii).    We held that COB, which submitted Form 3115
    but did not change its method of accounting for late fees in 1998
    or 1999, and FSB, which did not submit Form 3115 or change its
    method of accounting for late fees, could not retroactively
    change their methods of accounting for late fees under section
    446(e).    Capital One Fin. Corp. v. Commissioner, supra at 156-
    170.
    Respondent argues that because FSB did not submit Form 3115
    in 1998 or 1999, requesting to change its method of accounting
    for interchange or overlimit fees, it may not now treat those
    fees as creating or increasing OID under section
    1272(a)(6)(C)(iii).    As we stated in our prior Opinion:
    In the light of the purposes for requiring
    notification to the Commissioner of a taxpayer’s change
    in method of accounting, the Court holds that
    petitioners were required to follow all applicable
    procedures put in place by respondent in order to
    receive consent to change their method of accounting
    to comply with section 1272(a)(6)(C)(iii). See Rev.
    Proc. 98-60, 1998-
    2 C.B. 759
    . Failure to follow those
    procedures would negate automatic consent to the
    proposed change.
    Capital One Fin. Corp. v. Commissioner, supra at 158.       FSB did
    not follow the applicable procedures to receive consent to change
    its method of accounting.    Therefore, it may not treat its
    relevant credit card receivables as creating or increasing OID
    under section 1272(a)(6)(C)(iii) in 1998 or 1999.
    -57-
    B.   The Standard of Review
    No specific precedent articulates the standard to apply in
    determining whether a taxpayer’s assumptions used to calculate
    the proper amount of OID included in gross income in a given year
    are proper.   Although section 1.1272-1(b)(1)(ii) and (4)(iii),
    Income Tax Regs., provides reasonableness standards for computing
    the length of accrual periods and the amount of OID allocable to
    the initial accrual periods, section 1.1272-1(b)(2)(i), Income
    Tax Regs., provides that paragraph (b)(1) does not apply to debt
    instruments subject to section 1272(a)(6).   However, section
    1.671-5(g)(1)(iv)(A)(2), Income Tax Regs., provides that in
    calculating OID under section 1272(a)(6)(C), the trustee of a
    widely held mortgage trust in certain circumstances “may use any
    reasonable prepayment assumption to calculate OID”.28
    Section 1272(a)(6)(B)(iii) requires taxpayers to use a
    prepayment assumption as prescribed by regulations.     No such
    regulations have been issued.   The models developed by KPMG and
    by respondent’s expert call for the use of estimates.     Under
    these circumstances, COB’s assumptions and calculations used to
    determine the amount of OID included in its gross income will be
    respected so long as the assumptions and calculations are
    28
    The regulation provides trustees of widely held mortgage
    trusts a safe harbor for reporting OID before the issuance of
    final regulations under sec. 1272(a)(6)(C)(iii). No final
    regulations have been issued.
    -58-
    reasonable.   Petitioners and respondent, in their briefs, agree
    that a reasonableness standard is appropriate.     However, the KPMG
    model may not run afoul of the statutory scheme for calculating
    the accrual of OID in general nor run afoul of section 1272(a)(6)
    in particular.
    Respondent also notes his authority to require a certain
    method of tax accounting when the taxpayer’s method of accounting
    fails to reflect the taxpayer’s income clearly.     Thor Power Tool
    Co. v. Commissioner, 
    439 U.S. 522
    , 532 (1979); Commissioner v.
    Hansen, 
    360 U.S. 446
    , 467 (1959); see also sec. 1.446-1(a)(2),
    Income Tax Regs.   Section 446 provides in part:
    SEC. 446. GENERAL RULE FOR METHODS OF ACCOUNTING.
    (a) General Rule.--Taxable income shall be
    computed under the method of accounting on the basis of
    which the taxpayer regularly computes his income in
    keeping his books.
    (b) Exceptions.--If no method of accounting has
    been regularly used by the taxpayer, or if the method
    used does not clearly reflect income, the computation
    of taxable income shall be made under such method as,
    in the opinion of the Secretary, does clearly reflect
    income.
    We generally give deference to the Commissioner’s determination
    that a taxpayer’s method of accounting does not clearly reflect
    income.   However, if a taxpayer uses a method of accounting which
    clearly reflects income, the Commissioner is not authorized to
    adjust a taxpayer’s method of accounting to a method that may
    more clearly reflect income.
    -59-
    Ansley-Sheppard-Burgess Co. v. Commissioner, 
    104 T.C. 367
    , 371
    (1995); Bay States Gas Co. v. Commissioner, 
    75 T.C. 410
    , 422
    (1980), affd. 
    689 F.2d 1
     (1st Cir. 1982); Garth v. Commissioner,
    
    56 T.C. 610
    , 623 (1971).
    Where a taxpayer is required to use assumptions and
    estimates to compute the accrual of OID, a reasonableness
    standard is appropriate.   Further, a reasonable method of
    calculating the accrual of OID under section 1272(a)(6)(C)(iii)
    will generally clearly reflect income within the meaning of
    section 446.
    As described below, we find that in some respects the KPMG
    model does not comply with the OID rules and regulations.    The
    methods used for calculating the accrual of OID must comply with
    those rules and regulations.
    C.   Section 1272(a)(6)(C)
    In the case of (1) any regular interest in a real estate
    mortgage investment conduit (REMIC), (2) qualified mortgages held
    by a REMIC, or (3) any other debt instrument if payments under
    the instrument may be accelerated by reason of prepayments of
    other obligations securing the instrument, the daily portion of
    the OID on such debt instruments is determined by taking into
    account an assumption regarding the prepayment of such
    instruments.   Sec. 1272(a)(6).
    -60-
    Section 1272(a)(6)(A) provides:
    (A) In general.--In the case of any debt
    instrument to which this paragraph applies, the daily
    portion of the original issue discount shall be
    determined by allocating to each day in any accrual
    period its ratable portion of the excess (if any) of--
    (i) the sum of (I) the present value
    determined under subparagraph (B) of all remaining
    payments under the debt instrument as of the close
    of such period, and (II) the payments during the
    accrual period of amounts included in the stated
    redemption price of the debt instrument, over
    (ii) the adjusted issue price of such debt
    instrument at the beginning of such period.
    The computation is represented by the following mathematical
    equation:    OIDn = [Cashflown + AIPn] - AIPn-1.
    Where:   OIDn = OID for the period.
    Cashflown = amounts included in the SRPM received in the
    current accrual period.
    AIPn = present value of all remaining payments as of the
    end of the period or adjusted issue price at the end of
    the period.
    AIPn-1 = adjusted issue price at the beginning of the
    period.
    Section 1272(a)(6)(A) requires COB to compute the present
    value of all payments remaining to be made on its pool of credit
    card receivables at the end of the accrual period.    Section
    1272(a)(6)(B) provides guidance with respect to determining the
    present value:
    -61-
    (B) Determination of present value.--For purposes
    of subparagraph (A), the present value shall be
    determined on the basis of--
    (i) the original yield to maturity
    (determined on the basis of compounding at the
    close of each accrual period and properly adjusted
    for the length of the accrual period),
    (ii) events which have occurred before the
    close of the accrual period, and
    (iii) a prepayment assumption determined in
    the manner prescribed by regulations.
    No regulations have been promulgated with respect to the
    prepayment assumption that must be made in valuing credit card
    receivables.   The legislative history of the TRA provides some
    guidance as to how taxpayers are to calculate OID on a pool of
    credit card receivables:
    if a taxpayer holds a pool of credit card receivables
    that require interest to be paid if the borrowers do
    not pay their accounts by a specified date, the
    taxpayer would be required to accrue interest or OID on
    such a pool based on a reasonable assumption regarding
    the timing of the payments of the accounts in the
    pool. * * *
    H. Conf. Rept. 105-220, at 522 (1997), 1997-4 C.B. (Vol.2)
    1457, 1992.
    The “timing of the payments of the accounts in the pool” is
    critical because the present value of a future payment decreases
    as the payment date becomes more distant, hence the adage “a
    dollar today is worth more than a dollar in the future.”    For
    example, assuming a 10-percent interest rate, the present value
    of $100 to be received in 1 year is $90.91.   The present value of
    -62-
    $100 to be received in 2 years is $82.65, and so forth.      The
    present value of a payment to be received in the future is
    represented by the following formula:
    Present Value = Future Value
    (1 + R)n
    Where:    n = the number of periods until the payment is received.
    R = interest rate.
    D.   The KPMG Model
    1.      The Payment Rate or Prepayment Assumption
    With respect to credit card loans, there is no fixed date by
    which a loan needs to be paid off.      Therefore, a prepayment
    assumption under section 1272(a)(6)(B)(iii) is simply a payment
    rate.     There is a direct correlation between the payment rate and
    the amount of OID to be recognized.      The higher the payment rate,
    the more quickly COB recognizes OID; the lower the payment rate,
    the more slowly COB recognizes OID.      The KPMG model assumes that
    the actual cash collected during each period is the best evidence
    of the expected future payment rate.
    Under the KPMG model, the payment rate is a fraction where
    the numerator is cash collections net of finance charges and the
    denominator is the beginning credit card receivable balance plus
    that month’s new additions (excluding finance charges).      For
    purposes of computing OID, COB treats stated finance charges as
    “stated interest” and recognizes such interest as income
    -63-
    currently as it is billed to the cardholder.    Therefore stated
    finance charges are not included in either the numerator or the
    denominator of the payment rate.29    The payment rate is calculated
    using the following formula:
    Payments - Stated Finance Charges
    Outstanding Balance + New Additions
    The KPMG model uses a constant monthly payment rate.    For
    example, on a $100 debt with a 10-percent payment rate, after 1
    month the outstanding debt will be $90, after 2 months it will be
    $81, after 3 months it will be $72.90, and so forth.    In this way
    the payments continue forever with the debt becoming
    infinitesimally small.   Assuming a 10-percent payment rate, 72
    percent of the balance will be paid in 12 months, 92 percent in
    24 months, and 98 percent in 36 months.
    From 1995 to 1999 the payment rate for COB’s pool of credit
    card receivables was calculated under the KPMG model to be an
    average of 8.91 percent.
    29
    Although they dispute the manner in which it should be
    done, the parties agree that stated finance charges are stated
    interest and should be excluded from the payment rate
    calculation.
    -64-
    COB’S MONTHLY AND AVERAGE PAYMENT RATES
    1      2        3       4      5       6       7       8       9       10      11      12     AVG
    1995    9.07   9.05     9.73    8.03   8.67    8.35    8.46    8.02    7.21    8.90    8.47    7.66    8.47
    1996    9.43   9.51     9.36    9.26   8.34    7.75    8.65    7.58    7.66    7.96    7.34    7.62    8.37
    1997    8.16   8.23     8.82    8.01   8.77    8.92    8.59    8.00    8.20    8.58    8.22    8.53    8.42
    1998    8.97   8.64     10.02   9.13   8.85    8.92    8.71    9.00    8.35    9.55    8.80    8.30    8.94
    1999    8.85   9.39     11.01   9.94   10.72   9.87    10.70   10.54   10.77   10.98   10.68   10.70   10.35
    8.91
    The payment rate is critical to the calculation of OID
    because it is used to calculate the weighted average maturity
    (WAM) and the yield to maturity (YTM), both of which enter into
    the calculation of the present value of future expected payments.
    2.      The Weighted Average Maturity
    In the KPMG model the WAM is the inverse of the payment rate
    and is expressed in months.                     For example, the WAM of a pool of
    debt instruments with an expected payment rate of 10 percent is
    10 months (1 divided by .1 = 10).                        If the payment rate is 20
    percent, the WAM is 5 months (1 divided by .2 = 5).
    The calculation of the WAM is a simplifying assumption in
    the present value calculations.                        In reality some cardholders make
    payments on their loan earlier and some later.                                  The WAM is a
    mathematical assumption of a single point at which on average all
    cardholders will pay off their debt.
    Rather than calculating the present value of each of a
    series of unequal periodic payments of the pool every month, the
    -65-
    KPMG model simplifies the process by using the WAM to limit the
    calculation to the present value of one payment (equal to the
    relevant balance of the entire pool) at the WAM.                                       Specifically,
    the WAM is the number of periods, or “n” in the present value
    formula used in the KPMG model.
    Present Value = Future Value                          or    Future Value
    (1 + R)n                                    (1 + R)WAM
    From 1995 to 1999 the WAM of COB’s pool of credit card
    receivables was calculated to be on average 11.35 months and the
    average WAM for 1998 and 1999 was 10.46 months.
    Monthly and Average WAM
    1       2       3       4       5       6         7       8       9        10      11      12     AVG
    1995    11.02   11.05   10.28   12.45   11.54   11.98     11.82   12.47   13.87    11.24   11.81   13.06   11.88
    1996    10.61   10.51   10.68   10.80   11.99   12.90     11.56   13.20   13.05    12.56   13.63   13.12   12.05
    1997    12.25   12.14   11.34   12.48   11.40   11.21     11.64   12.50   12.20    11.65   12.17   11.72   11.89
    1998    11.15   11.58   9.98    10.96   11.29   11.21     11.48   11.12   11.98    10.48   11.36   12.05   11.22
    1999    11.29   10.65   9.08    10.06   9.33    10.13     9.34    9.49    9.29     9.11    9.36    9.34    9.71
    11.35
    3.       The Yield to Maturity
    In the KPMG model, the YTM is calculated using a formula in
    a Microsoft Excel worksheet to derive the interest rate at which
    the sum of the net present values of all of the future payments
    is equal to the issue price of the debt pool.                                      The issue price is
    the amount of cash advanced by COB as the issuing bank to acquire
    the debt.        Specifically, the YTM is calculated using the RATE
    -66-
    function in Excel, which is expressed as follows:   RATE = (Nper,
    Pmt, PV, FV).
    In this formula:   (1) Nper is the total number of payment
    periods for the loan and Nper is equal to the WAM; (2) Pmt is the
    payment made each period and Pmt equals zero for purposes of this
    calculation (there are no monthly payments assumed but rather the
    entire SRPM (FV)) is considered collected at the WAM; (3) PV is
    the present value, the total amount that a series of future
    payments is worth at that point and PV equals Beginning Issue
    Price (including new additions)/SRPM (including new additions);
    and (4) FV is the future value, or a cash balance you wish to
    attain after the last payment is made and FV equals 1.
    Calculating the YTM assuming payment of the SRPM at the WAM
    is the mathematical equivalent of any combination of prepayment
    assumptions that pays off the SRPM over various other periods
    with the same WAM.
    With a YTM and a WAM, the KPMG model then calculates the
    present value of the future payment stream.
    4.   OID Accrual
    Having determined a payment rate, a WAM, and a YTM, the KPMG
    model then uses a beginning issue price, an ending issue price,
    and principal payments for every month, which are derived from
    COB’s financial accounting reports.   The beginning issue price is
    the issue price of the pool at the beginning of the month (the
    -67-
    SRPM less OID accrued for prior periods) plus new additions
    during the month (new principal).        The ending issue price is the
    present value of the future cashflow.       The principal payments are
    the actual principal payments received during the month.       The
    KPMG model then determines the unadjusted OID accrual for a given
    month using the formula:   OIDn = [Cash flown + AIPn] - AIPn-1.
    5.    An Adjustment for Writeoffs
    The KPMG model incorporates a section 166 Schedule M-1
    adjustment for book/tax basis differences in receivables written
    off by recognizing an additional and proportional amount of
    income to offset the portion of the writeoff expense that had not
    been previously accrued in income.
    6.    The Mid-Month Convention
    The KPMG model assumes that all charges or lending
    transactions creating the monthly pool occur on the 15th of the
    month.    The model therefore allocates fourteen-thirtieths of the
    OID for each monthly period to the calendar month of the
    calculation and sixteen-thirtieths to the following calendar
    month.
    7.    The KPMG Model Table
    The following chart shows the KPMG model’s calculations of
    OID for overlimit fees for the first 3 months of 1999.30
    30
    Figures are taken directly from Exhibit 11-J and have not
    been adjusted for mathematical errors.
    -68-
    KPMG/Rolling Balance OID Calculator
    Capital One Financial Corporation (COB)
    1999 - Overlimit Fees
    Credit Card Fee Pool for Month                                       1                2                3
    OID Created:
    (A) Unamortized OID At Beginning of Period (overlimit      311,048,903      325,983,582      331,054,419
    fees)
    (B) Total New Additions of OID (overlimit fees)             48,238,609       41,029,513       43,915,549
    (C) Total OID Before Current Month Amortization            359,287,512      367,013,095      374,969,968
    (A+B)
    SRPM
    (D) SRPM At Beginning of Month                          15,572,919,690    15,602,686,253   15,243,211,562
    (E) Monthly Principal Addition                            1,545,483,606    1,220,461,154    1,844,061,105
    (F) Total SRPM After New Addition (D+E)                 17,118,403,196    16,823,147,407   17,087,272,667
    (G) Total SRPM at End of Month (F-I)                    15,602,686,253    15,243,211,562   15,205,183,121
    Adjusted Issue Price
    (H) Beginning Issue Price (Incl. New Addition (F-C))    16,759,115,684    16,456,134,312   16,712,302,699
    Constant Yield (Monthly)                                   0.1879921%       0.2073659%       0.2446986%
    (I) Principal Payment                                     1,515,716,943    1,579,935,845    1,882,089,546
    (J) Ending Issue Price (PV of Future Cash Flow)         15,275,211,181    14,910,666,283   14,871,514,481
    Reversal of Unamortized OID On Write Offs
    (K) Ending Issue Price /SRPM (J/G)                              97.90%           97.82%           97.81%
    (L) Basis Adjustment Percentage (I-K)                            2.10%            2.18%            2.19%
    (M) Gross Write Offs                                        71,062,684       68,338,064       76,530,491
    (N) Reversal of Unamortized OID on Write Offs (Basis         1,491,490         1,490,860        1,679,416
    Adjustment)
    -69-
    1             2             3
    OID Amortization
    (O) OID Amortization (I+J-H)                                31,812,440    34,467,816    41,301,328
    (P) Reversal of Unamortized OID on Write Offs (Basis         1,491,490     1,490,860     1,679,416
    Adjustment)
    (Q) Unamortized OID at Ent of Period (C-O-P)               325,983,582   331,054,419   331,989,224
    OID Amortization on Calendar Month Basis
    (R) Prior Period OID Recognized in Current Calendar         15,085,059    16,966,634    18,382,835
    Month
    (S) Current Period OID to be Recognized in Next Calendar    16,966,634    18,382,835    22,027,375
    Month
    (T) Adjusted OID Amor. for Calendar Month (O+R-S)           29,930,865    33,051,615    37,656,788
    (U) Unamortized OID at End of Calendar Month (Q+S)         342,950,217   349,437,254   354,016,599
    (V) Tax Adj. Inc. Recognized Per Calendar Month (T+P)       31,422,355    34,542,475    39,336,204
    E.      Respondent’s Arguments With Respect to the KPMG Model
    Respondent argues that the results produced by the KPMG
    model are unreasonable and do not clearly reflect COB’s income.
    Respondent raises a number of specific issues with respect to the
    KPMG model and proposes corrections and adjustments which
    respondent argues are necessary for COB’s income to be clearly
    reflected.
    1.     The Monthly Retirement and Reissuance of the Pooled
    Debt Instrument
    Respondent argues that the formulas and concepts originally
    used for accruing OID on REMICs should apply in some reasonable
    fashion to accruals of OID on a pool of revolving credit card
    -70-
    debt.   A REMIC is a fixed pool of mortgages that pays down as the
    underlying mortgages are themselves paid down.    OID accruals with
    respect to a REMIC are typically computed according to the speed
    at which the REMIC’s entire pool of mortgages pays down over
    time.   See sec. 1272(a)(6)(A) and (B).   Unlike a REMIC, COB’s
    credit card loan pool is dynamic, with cardholders making
    payments and incurring new principal additions each month, and
    with some cardholder accounts terminating as others enter the
    pool.
    Respondent concedes that COB’s revolving pool of credit card
    loans does not fit comfortably into the fixed-pool REMIC model.
    Respondent also concedes that the KPMG model seeks to apply
    fixed-pool accounting to a dynamic pool of credit card loans by
    using a 1-month instrument that is retired and reissued, referred
    to as the “rolling balance” method.   However, respondent argues
    that “this notion of a ‘retired’ and ‘reissued’ debt is the
    antithesis of a fixed pool of self-amortizing debt like that of a
    REMIC.”   Petitioners find themselves in a difficult situation.
    Under respondent’s theory, COB should use the fixed-pool
    accounting rules applicable to REMICs.    However, COB’s pool of
    loans is not fixed.   To try to apply fixed-pool accounting to the
    dynamic pool of credit card loans, COB uses a 1-month fixed pool
    that is retired and reissued at the end of each month.
    Respondent argues that this method is unreasonable.
    -71-
    We ask two questions.    First, what authority did COB rely
    upon when adopting the retired and reissued approach?     Second,
    what alternative does respondent suggest?
    a.     COB’s Reasons for Adopting the “Retired and
    Reissued” Approach
    To solve the problem of how to apply fixed-pool accounting
    to a dynamic pool of loans, Dennis Nelson, the KPMG partner
    responsible for developing the KPMG model, looked to the OID
    regulations to determine how OID is calculated when a debt
    instrument is modified or there is a change in circumstance.
    Section 1.1272-1(c), Income Tax Regs., provides rules to
    determine the yield and maturity of certain debt instruments that
    provide for an alternative payment schedule applicable upon the
    occurrence of a contingency.    “If a contingency * * * actually
    occurs or does not occur, contrary to the assumption made * * *
    [by the taxpayer] then * * * the debt instrument is treated as
    retired and then reissued on the date of the change in
    circumstances for an amount equal to its adjusted issue price on
    that date.”    Sec. 1.1272-1(c)(6), Income Tax Regs.   Section
    1.1275-2(h), Income Tax Regs., provides rules for debt
    instruments subject to remote and incidental contingencies.      If a
    change in circumstance occurs, “the debt instrument is treated as
    retired and then reissued on the date of the change in
    circumstances for an amount equal to the instrument’s adjusted
    issue price on that date.”    Sec. 1.1275-2(h)(6)(ii), Income Tax
    -72-
    Regs.    Similarly, section 1.1275-2(j), Income Tax Regs., provides
    that
    If the terms of a debt instrument are modified to defer
    one or more payments, and the modification does not
    cause an exchange under section 1001, then, solely for
    purposes of sections 1272 and 1273, the debt instrument
    is treated as retired and then reissued on the date of
    the modification for an amount equal to the
    instrument’s adjusted issue price on that date. * * *
    None of the above-quoted regulations apply directly to a
    pool of credit card loans.    In fact, none of the OID regulations
    apply directly to the issue at hand.    However, petitioners argue
    that these regulations provide an apt analogy, and we agree.
    A pool of credit card loans, the debt instrument, is
    constantly modified as cardholders make principal payments,
    charge additional purchases, transfer balances, and incur various
    types of fees, many of which are contingent and cannot be
    anticipated at the time the loan is made.    The retirement of a
    debt instrument under the regulations generally results in no
    gain or loss but requires the rolling of unamortized OID into a
    newly issued debt instrument to be taken into account over the
    new debt instrument’s anticipated life.
    b.   Respondent’s Alternative to the “Retired and
    Reissued” Approach
    There are significant practical difficulties in developing a
    model without the retired and reissued approach, in other words a
    model with static pools.    Mr. Nelson testified:
    -73-
    in the end, it was an absolute nightmare. They
    couldn’t reconcile the results. They didn’t know how
    to allocate the payments. Because in the end, it all
    came down to what payments should we assign to these
    static pools that we created. And they didn’t have a
    good way of being able to assign that. Their results
    were totally dependent on how to assume the payments
    were spread among these static pools. So they created
    mountains of work for the client and ourselves.
    Respondent maintains that the most accurate way to calculate
    OID would be cardholder by cardholder, but concedes that the
    sheer number of cardholders would make such calculations
    burdensome.   More importantly, section 1272(a)(6)(C)(iii) applies
    the OID rules to a pool of loans, and there is no authority
    suggesting that COB was required to calculate OID individually
    for each of its millions of cardholders.
    Under the KPMG model an accrual of a single item of OID can
    extend beyond the underlying indebtedness to which the OID
    relates because the KPMG model applies payments proportionally
    across all outstanding debt.    Respondent argues that COB must
    track or trace its cardholder accounts on a first-in, first-out
    (FIFO) basis so as to match the OID earned with the particular
    loan transaction that gives rise to the OID.    Respondent
    describes the difference between the parties’ positions:
    Petitioners contend that the credit card fees
    attributable to specific cardholder accounts and
    accrual periods should be treated, instead, as OID
    arising in the aggregate on the constantly changing
    balance of that pool. Petitioners are not troubled by
    the prospect that, under the KPMG model, a cardholder
    could close his account and transfer his balance to
    another lender, yet leave unamortized OID on
    -74-
    petitioners’ books. Nor are petitioners troubled by
    the fact that, under the KPMG model, cardholders can
    transfer balances to petitioner from other lenders as
    to which no OID exists, even though such transactions,
    when commingled with petitioners’ cardholder loans on
    which there is OID, will dramatically slow the rate at
    which OID is accrued on those older accounts and
    balances that do not have OID.
    Respondent demonstrates the problem by providing an
    illustration of a single cardholder who makes a $600 purchase and
    incurs a $40 overlimit fee in month 1, then makes principal
    payments and charges new purchases in the following months.
    Month         1     2      3        4         5      6       7        8
    Balance       0     640   600       600      600    600     600      600
    Purchases     600   56     90       90       90      90      90      90
    Overlimit     40
    Total with    640   696   690       690      690    690     690      690
    New Charges
    Payments            96     90       90       90      90      90      94
    Payment       0%    15%   15%       15%      15%    15%     15%     15.67%
    Rate
    Amortized     0     6     5.10     4.34     3.68    3.13    2.66    2.36
    OID
    Unamortized   40    34    28.90    24.57    20.88   17.75   15.09   12.72
    OID
    Respondent argues that because the cardholder paid a total
    of $640 (the amount of the original loan plus the overlimit fee)
    COB should recognize the entire fee.       The effect is to suggest
    that a payment rate of 15 percent translates into an actual
    liquidation of the debt in 8 months.       Essentially, respondent
    contends that each payment should go toward the oldest debt first
    and any OID related to that debt.       Respondent has no authority
    -75-
    for this position other than his argument that a FIFO method
    would clearly reflect COB’s income.
    Petitioners argue that using a constant payment rate of 15
    percent, the cardholder will still have $241 remaining on the
    original debt, or 32 percent of the original debt, and 32 percent
    of the OID will remain unamortized.
    Month           1     2      3        4         5        6        7        8
    Balance         0    640    544      462        393     334      283      241
    Purchases      600
    Overlimit       40
    Total With     640   640    544     462.40    393.04   334.08   283.97   241.38
    New Charges
    Payments              96   81.60    69.36      58.96   50.11    42.60    36.21
    Payment               0%    15%      15%        15%     15%      15%      15%
    Rate
    Amortized       0     6    5.10     4.34       3.68    3.13     2.66     2.26
    OID
    Unamortized     40    34   28.90    24.57      20.88   17.75    15.09    12.82
    OID
    Petitioners argue that the KPMG model is thus proportional in
    that the cardholder recognizes OID at the same rate as the
    original debt is repaid.
    The KPMG model accrues OID on the basis of the actual
    payment rates of COB’s cardholders.          If COB’s cardholders
    actually pay off their debts as quickly as the following
    hypothetical suggests, COB would recognize OID more quickly.
    -76-
    Month           1           2          3          4           5          6           7        8
    Balance             0       640        544         454        364        274         184          94
    Purchases       600
    Overlimit           40
    Total With      640         640        544         454        364        274         184          94
    New Charges
    Payments                        96         90          90         90         90          90       94
    Payment             0%      15%      16.54%     19.82%      24.73%     32.85%      48.91%     100%
    Rate
    Amortized           0           6     5.63        5.63       5.63       5.63         5.63     5.85
    OID
    Unamortized         40          34   28.38       22.75      17.13      11.50         5.88         0
    OID
    COB’s cardholders, on a pooled basis, do not pay off their
    debts at anywhere near the rates suggested by the hypothetical.
    Further, COB’s cardholders do not pay off a fixed amount of
    principal each month on their existing debt because they add new
    purchases every month and some portion of the payments may apply to
    the new debt.
    This is a fundamental difference between the parties.
    Respondent views COB’s pool of debt as made up of hundreds of
    millions of loans made to millions of cardholders.                                Petitioners
    view the pool as a single debt instrument.                         Dr. Hakala,
    respondent’s expert, and respondent assume that cardholders pay off
    a constant amount on their credit card debt in the same way that a
    debtor pays off a fixed debt. Respondent and Dr. Hakala assert that
    a group of fixed pools may be more appropriate and would clearly
    reflect income.          However, Dr. Hakala’s models do not use fixed
    -77-
    pools.     Rather, Dr. Hakala uses a FIFO method,31 and there are
    significant problems with it.
    The FIFO method amortizes OID in a straight line to the WAM so
    that all OID is accrued by the WAM.      This rapidly accelerates the
    accrual of OID because an adjusted WAM is required.     Dr. Hakala
    reweighted the WAMs according to the relative duration of each
    month’s balance of unamortized OID in the collective pool of
    unamortized OID.     Dr. Hakala’s adjustment is designed to match OID
    accruals to the actual liquidation of the pertinent debt.     However,
    he ignores the fact that some cardholders actually make principal
    payments after the WAM.     Most importantly, Dr. Hakala’s FIFO
    adjustment abandons the section 1272(a)(6) formula:     OIDn = [Cash
    flown + AIPn] - AIPn-1. Dr. Hakala calculates the OID simply by
    multiplying the beginning issue price (including new additions) by
    the YTM.
    Respondent argues that Dr. Hakala’s formula for computing OID
    is a close approximation of the section 1272(a)(6) formula.       That
    may be true; however, Congress provided the section 1272(a)(6)
    formula, and we cannot require COB to use some other formula no
    matter how similar to the formula provided in the Code.
    Furthermore, we cannot find a taxpayer’s method of accounting which
    31
    Petitioners argue that Dr. Hakala’s method is not actually
    a FIFO method. As we find Dr. Hakala’s method unreasonable and
    at odds with sec. 1272(a)(6), we need not address petitioners’
    arguments on this point.
    -78-
    follows a formula provided by Congress to be unreasonable because a
    different formula may more clearly reflect the taxpayer’s income.
    We conclude that COB’s use of a retired and reissued debt
    instrument, as provided for in the regulations under similar
    circumstances, is a reasonable method of implementing the formula
    provided in section 1272(a)(6) given the inherent difficulties in
    applying fixed-pool accounting to a dynamic pool of loans.
    Furthermore, respondent’s adjustments to this aspect of the KPMG
    model are unreasonable and at odds with section 1272(a)(6).
    2.   The Inclusion of New Additions in the Beginning Issue
    Price
    The KPMG model uses a beginning issue price which includes
    new cardholder purchases and other charges (additions in the
    parlance of the KPMG model).   The name given to this figure by
    KPMG is descriptive:   “Beginning issue price (including new
    additions)”.   This figure is derived by subtracting the sum of the
    carryover balance of unamortized OID and the current month’s fee
    to be treated as OID from “Total SRPM After New Additions”, which
    is the SRPM at the beginning of the accrual period plus new
    additions.32   Respondent argues that the use of a beginning issue
    price that includes new additions results in an incorrect
    determination of OID accruals.
    32
    The difference between the AIPbeg figure respondent
    contends must be used and the AIPbeg figure used by the KPMG
    model is the present value of the current month’s aggregate new
    cardholder purchases and charges.
    -79-
    Section 1272(a)(4) provides:
    (4) Adjusted issue price.--For purposes of this
    subsection, the adjusted issue price of any debt
    instrument at the beginning of any accrual period is
    the sum of--
    (A) the issue price of such debt instrument,
    plus
    (B) the adjustments under this subsection to
    such issue price for all periods before the first
    day of such accrual period.
    The parties agree that the additions that occur after the start of
    the accrual period cannot be included in the AIPbeg figure under
    section 1272(a)(4)(B).   However, petitioners argue that new
    additions are included under section 1272(a)(4)(A):
    Respondent, however, fails to take into account the
    “retired and reissued” approach described above.
    Applying the concept of a monthly pool that is deemed
    to be retired and reissued at its adjusted issue price,
    the result is a monthly rolling pool with the issue
    price of the new pool each month equal to the adjusted
    issue price of the prior month-end, increased for the
    issue price of new loans to cardholders in the pool
    prior to the assumed reissue date. In essence, the
    clock is “reset” to the beginning of the period every
    month. Therefore, the issue price of the newly
    reissued debt under section 1272(a)(4)(A) (not section
    1272(a)(4)(B)) must include the Additions. Similarly,
    the SRPM is equal to the SRPM at the prior month-end,
    increased by net new additions to cardholder accounts
    in the pool.
    The regulations petitioners cite as authority for the use of
    a retired and reissued instrument suggest that new additions
    should not be included retroactively in the AIPbeg figure.      For
    example, section 1.1272-1(c)(6), Income Tax Regs., provides that
    the debt instrument is treated as retired and reissued on the
    -80-
    date of the change in circumstances.    In the case of a pool of
    credit card loans, the KPMG model retires and reissues the debt
    instrument on the first day of every month.   So on January 1,
    1999, the pool of debt instruments is retired, and the debt
    instrument is reissued for the issue price on that date.
    Unamortized OID is rolled over to the next period (January), and
    the debt instrument is then retired and reissued on February 1,
    1999.   The regulations do not provide that at the end of the
    period, for example January 31, the taxpayer should look backward
    and recompute the January 1 issue price on the basis of events
    that occurred during January.
    However, we must acknowledge the differences between a pool
    of debt instruments and the types of debt instruments assumed for
    purposes of the regulations.    COB’s pool of credit card debt is
    constantly changing.   The regulations posit a single change in
    circumstances; i.e., the exercise of an option.   Yet COB cannot
    recompute the various components of the section 1272(a)(6)
    formula constantly.    It must pick a period and calculate the OID
    accrual for that period.   COB chose to do so monthly, which is
    reasonable given the nature of the credit card business.
    In support of their positions on this issue, the parties
    again demonstrate a fundamental difference in the way they view a
    credit card loan.   Petitioners argue that it is appropriate to
    include new additions in the AIPbeg figure because each credit
    -81-
    card purchase transaction that occurred in a given month was an
    outstanding loan at the end of month.   In petitioners’ view the
    loan becomes part of the SRPM at the time the loan is made (or at
    least at the time it is settled under the associations’ systems,
    usually 1 day later).   Therefore, it is appropriate to include
    new additions in the issue price for the purpose of calculating
    the accrual of OID.
    Respondent argues that it is inappropriate to include new
    additions because they have not been billed, that is, a statement
    has not been sent to the cardholder requesting payment until
    later in the current month or in the following month, and
    payments are not due until 30 days after the issuance of the
    statement.
    Although petitioners argue that new additions are included
    in the AIPbeg figure under section 1272(a)(4)(A), we cannot
    ignore section 1272(a)(4)(B).   Subparagraph (B) makes clear that
    the beginning issue price includes only the adjustments to the
    issue price included before the first day of the accrual period.
    The reissuance of the pool of debt instruments occurs on the
    first day of every month; i.e., the first day of the accrual
    period.   It is inappropriate under either section 1272(a)(4)(A)
    or (B) to include in the issue price the additions that occurred
    on or after the first day of the accrual period.
    -82-
    3.   Payment Rate Issues
    Under the KPMG model, the payment rate is a fraction where
    the numerator is cash collections net of finance charges and the
    denominator is the beginning credit card receivable balance plus
    that month’s new additions (net of finance charges):
    Payments - Stated finance charges
    Outstanding Balance + New additions
    Respondent raises several issues with respect to the calculation
    of the payment rate.
    a.     The Denominator
    Respondent argues that the inclusion of current month
    cardholder charges and fees in the calculations used to derive
    the payment rate is inappropriate because those new charges would
    not have been billed until later in the current month or in the
    next month, and would not have been due until 30 days after the
    charges were billed.   We agree with respondent on this point.
    A simple example helps illustrate the calculation of the
    payment rate in the KPMG model.      Assume a cardholder purchases a
    $100 lamp, $40 of gasoline, and $10 of coffee in November, for a
    total of $150.   In December the cardholder charges a $25 haircut,
    incurs a $25 overlimit fee, and incurs $10 in stated finance
    charges, resulting in a balance of $210.     In December the
    cardholder also makes a payment of $30.     Under the KPMG model,
    the December payment rate would be 10 percent ($20 payment
    -83-
    (exclusive of finance charges) divided by a $200 balance (also
    excluding finance charges)).
    In the example, the cardholder pays $30 after receiving a
    monthly statement from COB on December 1.    The statement would
    have shown that the cardholder owed $150.    No finance charges
    would have been billed to the cardholder because it was possible
    he would pay his entire balance and incur no finance charges.
    Therefore, when the cardholder pays $30, it is toward a $150
    balance, resulting in a payment rate of 20 percent.    It is
    unreasonable to conclude that the cardholder’s December payment
    rate is 10 percent simply because she incurs new charges when
    those charges are not yet billed to her.
    However, respondent goes even further, arguing that the
    additions made after the average statement date33 of the prior
    month should also not have been included because those charges
    would not have been billed until the current month.   For example,
    when calculating the December payment rate, respondent argues
    that a charge made on November 25 should not have been included
    in the total outstanding balance portion of the denominator.      We
    disagree with respondent on this point.    Although payment of the
    November 25 charge may not have been due until January, COB would
    33
    COB issues statements to its cardholders throughout the
    month, and given that the typical billing cycle is 30 days, the
    average monthly statement date for all cardholders is the middle
    of the month.
    -84-
    have requested payment of the debt during December, and it is
    appropriate to include it in the denominator when calculating the
    payment rate.
    Therefore, the denominator of the payment rate formula
    should be the total cardholder outstanding balance as of the end
    of the previous month.
    b.   The Numerator
    The numerator of the payment rate calculation begins with
    the current month’s payments and then subtracts the current
    month’s accrued finance charges.   Respondent agrees that finance
    charges must be subtracted from the payments, but disagrees as to
    which finance charges should be subtracted.   The KPMG model
    subtracts finance charges accrued during the current month.
    Essentially, the KPMG model applies current month payments
    against the current month’s accrued, but unbilled, finance
    charges.   Respondent argues this is unreasonable for the same
    reasons new additions should not be included in the denominator,
    and we agree.   It is inappropriate to apply payments to charges
    which have not been billed.
    Respondent argues that the finance charges which should have
    been subtracted are two-thirds of the prior month’s finance
    charges and one-third of the finance charges from the month
    -85-
    before that.34    In determining the beginning issue price of the
    debt instrument and the denominator of the payment rate
    calculation, it is appropriate to include all the prior month’s
    additions to principal whether billed or unbilled as of the first
    day of the current month because COB will request payment of
    those debts during the current month.     We think it logical,
    therefore, that current month payments should first be applied to
    finance charges which relate to all the debts included in the
    beginning issue price; i.e., the total outstanding balance of the
    pool as of the beginning of the accrual period.     In other words,
    current month payments should first be applied to prior month
    finance charges, but not current month finance charges or finance
    charges from 2 months previous, before reducing the principal
    amount.
    In his calculations Dr. Hakala includes writeoffs in the
    numerator.   Writeoffs are those debts COB determines are not
    collectible.     Respondent argues that “a write-off, practically
    speaking, is no different from a payment of principal in that
    both reduce outstanding principal balances”.     A writeoff,
    however, is an amount that is uncollectible, and it is not
    equivalent to a payment.     The payment rate is used to calculate
    future payments.     Including writeoffs in the calculation
    34
    Respondent also argues that one-half of the prior month
    finance charges should be deducted and one-half of the finance
    charges from the month before that.
    -86-
    anticipates future defaults.    The legislative history of section
    1272(a)(6) suggests that defaults are not to be estimated when
    determining future cashflows.   H. Conf. Rept. 99-841 (Vol II), at
    II-238 n.22 (1986), 1986-3 C.B. (Vol.4) 1, 238 (“In computing the
    accrual of OID (or market discount) on qualified mortgages held
    by the REMIC, only assumptions about the rate of prepayments on
    such mortgages would be taken into account.” (Emphasis added.)).
    We conclude that writeoffs should not be included in the
    numerator when calculating payment rates.35
    Therefore, the numerator of the payment rate formula should
    be the total cardholder payments for the current month less the
    finance charges accrued during the prior month.
    c.   Other Published Payment Rates
    Moody’s Investors Services publishes historical credit card
    payment rates showing the average performance of various pools of
    credit card loans related to credit-card-backed securities.     In
    addition, Capital One files reports with the Securities and
    Exchange Commission and issues prospectuses related to its sale
    of credit-card-backed securities.      Each of these reports includes
    information about the payment rates of the loans that backed the
    securities.
    35
    The KPMG model deals with writeoffs in a separate
    adjustment, which we conclude is reasonable.
    -87-
    However, these other published payment rates are not based
    upon the formula set out in section 1272(a)(6) and its related
    regulations.     The published payment rate calculations include
    payments of finance charges which are left out of the section
    1272(a)(6) formula because they are considered to be stated
    interest.     Taking finance charges out of the equation, at least
    in the case of the numbers reported by Capital One, decreases the
    payment rates by approximately 1 percent of principal per period.
    For example, a payment rate of 10 percent including finance
    charges would be approximately 9 percent excluding finance
    charges.36    Other adjustments were made in some calculations.
    For example, some of the calculations use an average outstanding
    principal amount for the month, rather than the outstanding
    amount at the beginning or end of the month.
    Our determinations on these issues are based on section
    1272(a)(6) and the related regulations, not on published reports
    that use an analysis not based in the Code.
    4.      Dr. Hakala’s Default Rate Adjustment for Overlimit Fees
    The KPMG model includes a section 166 adjustment for
    book/tax basis differences in receivables written off every month
    as reducing the end-of-month balance of unamortized OID.
    36
    In 1999 COB cardholders made payments totaling
    $23,984,854,095, and accrued $2,088,871,186 in finance charges.
    In other words, approximately 9 percent of all payments were
    attributable to finance charges.
    -88-
    Respondent proposes to modify this writeoff adjustment for
    default rates associated with late fees and overlimit fees.
    Because of our determination in Capital One Fin. Corp. v.
    Commissioner, 
    130 T.C. 147
     (2008), late fees are not at issue.
    Although they are not at issue, respondent argues that Dr.
    Hakala’s analysis of the default characteristics of cardholders
    who incurred overlimit fees depends on his analysis of defaults
    associated with late fees.
    Using data from Capital One’s 310 reports, Dr. Hakala
    tracked the proportion of accounts that incurred late fees
    ultimately written off within 180 days of being in “non-payment”
    status.   Dr. Hakala determined how much of a late fee is
    ultimately paid and how much is written off.   On the basis of
    this analysis, respondent argues that a greater percentage of the
    outstanding principal in accounts that have incurred late fees is
    written off than in cardholder accounts generally.   Dr. Hakala
    devised a default adjustment for late fees, expressed as a factor
    of 3.56, whereby the amount of OID recognized in connection with
    defaults is increased by a factor of 3.56.   Again, late fees are
    not at issue, and we need not and do not reach a conclusion as to
    whether Dr. Hakala’s late fee adjustment is appropriate.
    Dr. Hakala was not able to do a similar analysis with
    overlimit fees.   Instead, Dr. Hakala took samples of Capital
    One’s cardholder accounts and compared default rates of accounts
    -89-
    with late fees versus default rates of accounts with overlimit
    fees.   Using this sampling, Dr. Hakala determined that the
    default rate for accounts with overlimit fees was about half the
    default rate for late fees.    Thus, in his corrections to the
    accruals of overlimit fees, he used a default factor of 1.78
    versus 3.56 for late fees.    However, Dr. Hakala provides
    insufficient data to allow us to test his conclusions.     It seems
    that the 1.78 figure is a ballpark estimate or an educated guess
    that is based on the theory that cardholders who incur overlimit
    fees, like cardholders who incur late fees, have a higher rate of
    default.
    Dr. Hakala also states that “customer accounts that incur
    past due and overlimit fees may tend to be slightly slower in
    paying off principal than the average customer, and this finding
    may moderate the adjustment.”    Dr. Hakala testified that he did
    moderate the adjustment, and therefore his default rate
    adjustment was not a 100-percent adjustment.     But Dr. Hakala does
    not explain how or to what extent he moderated the adjustment.
    Put simply, there is insufficient support for Dr. Hakala’s
    proposed default rate adjustment.      His ballpark estimate of the
    default rate factor may be correct or it may not.     Without
    supporting data, we cannot conclude that the KPMG model was
    unreasonable or failed to clearly reflect COB’s income as it
    relates to writeoffs.   Further, on the record before us we cannot
    -90-
    conclude that Dr. Hakala’s proposed default rate adjustment would
    more clearly reflect COB’s income than did the KPMG model.
    5.   Dr. Hakala’s Seasonality and Trend Adjustment
    As part of his adjustments to the KPMG model, Dr. Hakala
    included a seasonality adjustment to “smooth out seasonal
    fluctuations and to capture the trend in aggregate payment rates
    for forecasting purposes.”   For example, the adjustment addresses
    the spike in credit card use and dip in payment rates associated
    with holiday shopping.    Dr. Hakala testified that adjustments for
    seasonality and trends are standard practice for purposes of
    prepayment assumptions in REMICs.      Mr. Nelson, on the other hand,
    testified that seasonality adjustments are not standard practice
    for REMICs.
    Respondent contends that a seasonality adjustment is
    necessary because the payment rates in some months were
    artificially high and in others artificially low.     We disagree.
    The KPMG model calls for calculating payment rates each month.
    Therefore, the process takes into account seasonality effects by
    calculating a new payment rate every month.     Payment rates may
    have been higher in April and lower in December, but the KPMG
    model takes that into account by changing the present value of
    the debt instrument as the payment rates change.     We conclude
    that, in this respect, the KPMG model is reasonable and clearly
    reflected COB’s income.
    -91-
    F.   Conclusion With Respect to the Calculation of OID
    Although COB may enjoy some latitude in its method of
    calculating the accrual of OID, it may not run afoul of section
    1272 and the OID regulations.   We conclude that COB may not
    include new additions, as defined in the KPMG model, in the
    beginning issue price of the monthly pool of debt instruments.
    Further, COB’s calculations of the payment rate run afoul of
    section 1272 by applying payments first to accrued, but unbilled,
    finance charges.   Lastly, the denominator of the payment rate
    calculation may not include new additions because those additions
    were not billed to the cardholders and should not have been
    included in the beginning issue price.   We conclude that, in all
    other respects, the KPMG model is reasonable.
    Issue 3:   Milesone Rewards
    FINDINGS OF FACT
    A.   The Milesone Reward Program
    In an effort to attract new cardholders and to encourage
    cardholders to use their cards more often, Capital One issued
    Milesone credit cards, Signature Milesone credit cards, and Small
    Business Milesone credit cards (collectively Milesone cards).
    The Milesone cards were typical Visa and MasterCard credit cards
    (as described above) except that they allowed a cardholder to
    earn “miles” which could be redeemed for airline tickets.
    -92-
    A Milesone cardholder paid Capital One an annual membership
    fee of either $19 or $29.   In exchange for that fee, a Milesone
    cardholder earned 1 mile for every dollar charged on the Milesone
    card for purchases.   However, a cardholder was limited to 10,000
    miles per billing cycle.    Additionally, a cardholder could earn
    up to 3,000 miles by transferring an existing balance from a non-
    Capital One credit card account to a Milesone account.    A
    Milesone cardholder earned no miles for cash advances, checks, or
    fees of any kind, including finance charges.
    Capital One provided Milesone cardholders with a rewards
    schedule detailing the number of miles needed to qualify for the
    various airline tickets offered.   Once enough miles were
    accumulated, the cardholder could redeem the miles for a round-
    trip airline ticket purchased by Capital One.    The least
    expensive ticket was a round-trip coach ticket within the
    cardholder’s zone (either the eastern, middle, or western United
    States) and required 18,000 miles.     In comparison, a round-trip
    coach ticket from the United States to Europe required 50,000
    miles, and an around-the-world coach ticket required 150,000
    miles. Business class and first class tickets were also available
    but required more miles than similar coach tickets.
    Capital One provided each Milesone cardholder a quarterly
    statement reflecting the cardholder’s total accumulated points,
    the number of points redeemed for airline tickets, and the number
    -93-
    of points due to expire within 90 days.    Points not redeemed
    within 5 years of the end of the quarter in which they were
    earned expired at that time.    Points were redeemed on a first-in,
    first-out basis; i.e., the oldest points were redeemed first.
    Capital One purchased the airline tickets from a vendor.
    Each class of ticket was assigned a value.    For example, a
    cardholder redeeming 18,000 miles for an in-zone domestic ticket
    could request a ticket costing up to $360.    A cardholder
    redeeming 50,000 miles for a United States to Europe ticket could
    request a ticket costing up to $1,000.    Therefore, Capital One’s
    maximum potential cost per mile was 2 cents.
    B.   Milesone Program Costs and Accounting
    Capital One estimated its cost of redeeming its cardholders’
    miles.    The estimates depended primarily on two variables:   (1)
    The estimated rate of future redemptions and (2) the estimated
    average cost of redemption.    These variables were used to
    calculate an accrual rate used to estimate Capital One’s future
    airline ticket redemption costs for financial accounting
    purposes. The accrual rate was a percentage of outstanding
    accumulated Milesone miles at the end of the year.
    As of December 31, 1998, Milesone cardholders had an
    outstanding accumulated balance of 58,370,500 miles.37   Capital
    37
    In 1998 and 1999 Capital One awarded 29,254,871 and
    323,169,272 miles in connection with balance transfers and bonus
    (continued...)
    -94-
    One estimated that 70 percent of the miles would ultimately be
    redeemed and that each mile would cost 1.4 cents to redeem.
    Using these figures, Capital One estimated its future redemption
    costs to be $583,411.38     This amount was used as its contingent
    reserve for redemption costs on its general ledger for financial
    accounting purposes and was deducted under section 1.451-4,
    Income Tax Regs., on petitioners’ consolidated 1998 Federal
    income tax return.39
    As of December 31, 1999, Milesone cardholders had an
    outstanding accumulated balance of 2,661,038,279 miles.     Capital
    One estimated that 80 percent of these miles would be redeemed
    and that each mile would cost 1.65 cents to redeem.     Accordingly,
    Capital One estimated its future redemption costs to be
    $34,593,497.40     The difference between that figure and the 1998
    figure, $583,411, was the change in the contingent reserve for
    future redemption costs.     Capital One deducted the difference,
    37
    (...continued)
    miles.      The record is not clear about what constituted bonus
    miles.
    38
    We note that the 70 percent and 1.4 cents figures would
    result in a slightly higher cost of redemption. We assume the
    parties rounded the figures for our benefit. In any event, the
    discrepancy does not appear to bother the parties, and therefore
    it does not bother us.
    39
    Capital One actually spent $1,578 and $313,513 to redeem
    Milesone miles during 1998 and 1999, respectively.
    40
    Again, the 80 percent and 1.65 cents figures would result
    in a slightly higher cost of redemption.
    -95-
    $34,010,086, on its general ledger for financial accounting
    purposes.   Through an error petitioners neglected to deduct that
    amount on their consolidated 1999 Federal income tax return.
    During the IRS’ examination and in its petition to this Court,
    Capital One asserted that it was entitled to the deduction under
    section 1.451-4, Income Tax Regs.
    The actual redemption rates of points earned by cardholders
    in 1998 and 1999 through their 5-year expiration period were 68
    percent and 81 percent, respectively.   The actual cost of
    redemption was just over 2 cents per mile for points earned in
    1998 and 1.59 cents per mile for those earned in 1999.41
    OPINION
    A.   The History of Accounting for the Redemption of Trading
    Stamps and Coupons
    Whether a business expense has been incurred so as to
    entitle an accrual basis taxpayer to deduct it under section
    162(a) is governed by the all events test.   United
    States v. Anderson, 
    269 U.S. 422
    , 441 (1926).   In Anderson, the
    Supreme Court held that a taxpayer was entitled to deduct from
    its 1916 income a tax on profits from munitions sales that took
    place in 1916.   Although the tax would not be assessed and
    therefore would not formally be due until 1917, all the events
    had occurred in 1916 to fix the amount of the tax and to
    41
    Petitioners did not explain why the cost of redemption was
    more than the ostensible maximum payout of 2 cents per mile.
    -96-
    determine the taxpayer’s liability to pay it.   The all events
    test is now embodied in section 1.461-1(a)(2), Income Tax Regs.,
    which during the years at issue provided:
    Under an accrual method of accounting, a liability (as
    defined in § 1.446-1(c)(1)(ii)(B)) is incurred, and
    generally is taken into account for Federal income tax
    purposes, in the taxable year in which all the
    events have occurred that establish the fact of the
    liability, the amount of the liability can be
    determined with reasonable accuracy, and economic
    performance has occurred with respect to the liability.
    * * *
    See also sec. 461(h) (providing that the all events test shall
    not be treated as met any earlier than when economic performance
    occurs);42 United States v. Gen. Dynamics Corp., 
    481 U.S. 239
    ,
    242-243 (1987).
    In 1919 the Commissioner carved out an exception to the all
    events test, allowing a taxpayer to deduct from its sales
    revenues an estimate of the contingent liabilities incurred with
    respect to the redemption of coupons or trading stamps issued
    with those sales.
    Where a taxpayer, for purposes of promoting his
    business, issues with sales trading stamps or premium
    coupons redeemable in merchandise or cash, he should in
    computing the income from such sales subtract only the
    amount received or receivable which will be required
    for the redemption of such part of the total issue of
    trading stamps or premium coupons issued during the
    taxable year as will eventually be presented for
    42
    Sec. 461(h)(5) provides an exception to the general rule
    of sec. 461(h), allowing a deduction for a reserve for estimated
    expenses if such a deduction is otherwise allowable under the
    Code.
    -97-
    redemption. This amount will be determined in the
    light of the experience of the taxpayer in his
    particular business and of other users engaged in
    similar business. * * *
    Regs. 45, art. 88 (1919).   Ninety years later, the essential
    elements of the exception still remain and are embodied in
    section 1.451-4(a)(1), Income Tax Regs., which for the years at
    issue provided:
    If an accrual method taxpayer issues trading stamps or
    premium coupons with sales, or an accrual method
    taxpayer is engaged in the business of selling trading
    stamps or premium coupons, and such stamps or coupons
    are redeemable by such taxpayer in merchandise, cash,
    or other property, the taxpayer should, in computing
    the income from such sales, subtract from gross
    receipts with respect to sales of such stamps or
    coupons (or from gross receipts with respect to sales
    with which trading stamps or coupons are issued) an
    amount equal to--
    (i) The cost to the taxpayer of merchandise,
    cash, and other property used for redemption in
    the taxable year,
    (ii) Plus the net addition to the provision
    for future redemptions during the taxable year (or less
    the net subtraction from the provision for future
    redemptions during the taxable year).
    The regulation’s purpose is to match sales revenues with the
    expenses incurred in generating those revenues, and taxpayers are
    entitled to a present deduction for only that portion of the
    stamps or coupons that they expect to eventually be redeemed.
    See Mooney Aircraft, Inc. v. United States, 
    420 F.2d 400
    , 411
    (5th Cir. 1969); Tex. Instruments, Inc. v. Commissioner, 
    T.C. Memo. 1992-306
    .
    -98-
    Petitioners contend that the miles Capital One issued to its
    cardholders are coupons issued with sales, that those coupons are
    redeemable by the cardholders in property, and that therefore it
    may subtract from its gross receipts the estimated cost of
    redeeming those miles.   Respondent agrees that the miles are
    coupons within the meaning of section 1.451-4, Income Tax Regs.,
    but disagrees that the miles are issued with sales and that
    Capital One had gross receipts with respect to sales.
    B.   The “With Sales” Requirement
    Over the years we have been asked to interpret and apply
    section 1.451-4, Income Tax Regs., and its predecessors.     In
    Creamette Co. v. Commissioner, 
    37 B.T.A. 216
     (1938), the taxpayer
    created a program to increase sales of its macaroni product.      It
    issued with each carton of its product sold one coupon which was
    redeemable for certain selected articles of merchandise.   The
    Board of Tax Appeals, predecessor to this Court, allowed the
    taxpayer to deduct a reasonable estimate of its future cost of
    redemption under Regs. 77, art. 335, a predecessor to section
    1.451-4, Income Tax Regs.   Creamette Co. v. Commissioner, supra
    at 218.   In Brown & Williamson Tobacco Corp. v. Commissioner, 
    16 T.C. 432
     (1951), to spur sales of its cigarettes, the taxpayer
    issued coupons with each pack of its cigarettes sold which could
    be redeemed for merchandise or cash.   We allowed the taxpayer to
    -99-
    deduct the reasonable estimate of its future cost of redemption.
    
    Id. at 445-446
    .
    In Tex. Instruments, Inc. v. Commissioner, supra, the
    taxpayer did not include coupons on the product sold in the same
    way as the taxpayers in Creamette and Brown & Williamson but
    rather placed coupons in stores and in newspaper and magazine
    advertisements.     To redeem the coupon, the consumer was required
    to submit to the taxpayer an original sales receipt and some
    additional type of proof of purchase, such as a part of the
    product box.     The Commissioner contended that the taxpayer’s
    coupons were merely advertisements inducing customers to purchase
    its products and were not issued with sales within the meaning of
    section 1.451-4, Income Tax Regs.       We disagreed and held that,
    for purposes of section 1.451-4, Income Tax Regs., the proofs of
    purchase, such as part of the product’s box, functioned as
    coupons issued with sales of the product.
    In Tex. Instruments, there was no dispute that sales took
    place.   The issue was whether coupons were issued with those
    sales.   If the coupon, for purposes of section 1.451-4, Income
    Tax Regs.,   was the advertisement, it would not have been issued
    with the sale.    The issue in this case is different.    Although
    respondent argues that the miles were not issued with sales, the
    focus of his argument is that there were no sales with which
    coupons could be issued.
    -100-
    Although most credit card transactions involve sales of
    goods or services, i.e., a consumer purchases a product from a
    merchant, petitioners do not argue that the merchant’s sale of
    goods to the cardholder is relevant for purposes of section
    1.451-4, Income Tax Regs.     Rather, petitioners argue that when a
    cardholder uses a Milesone card, Capital One has sold its lending
    services to the cardholder and issued miles with that sale.
    Respondent concedes that “sales” as used in section 1.451-4,
    Income Tax Regs., is broad enough to include the sale of services
    as well as the sale of goods.
    Petitioners argue that we have interpreted the term
    “service” to include the lending of money.    In Burbank
    Liquidating Corp. v. Commissioner, 
    39 T.C. 999
     (1963), affd. in
    part and revd. in part on other grounds 
    335 F.2d 125
     (9th Cir.
    1964), we faced the question of whether a lender’s mortgage loans
    made in the ordinary course of business were ordinary or capital
    assets under section 1221(4).43    We held that the loans were
    “notes receivable acquired for * * * services rendered” and thus
    were ordinary, rather than capital assets.     Id. at 1009.   We
    explained that “the business of a savings and loan company could
    properly be described as ‘rendering the service’ of making
    loans.”   Id. at 1009-1010.
    43
    Sec. 1221(4) of the Internal Revenue Code of 1954 excluded
    from capital assets: “accounts or notes receivable acquired in
    the ordinary course of trade or business for services rendered or
    from the sale of property”.
    -101-
    In FNMA v. Commissioner, 
    100 T.C. 541
    , 576-578 (1993), we
    faced a similar question with respect to the character of home
    mortgage loans.   However, the lender had not originated the loans
    but had purchased them on the secondary market.   Nevertheless, we
    held that “the actual operation of * * * [the taxpayer’s
    business] further supports that it was providing a service in
    exchange for the mortgages.”    Id. at 578.
    Petitioners argue that these cases indicate that the lending
    of money is the sale of a service and therefore when Capital One
    extends credit to its cardholders, it is selling lending services
    to the cardholder.   The argument is strained.   The cases cited by
    Capital One and discussed above are inapplicable to the current
    case.   Whether loans in the hands of a lender are a capital or
    ordinary asset has no bearing on whether Capital One issued its
    miles with sales.    In lending its cardholders funds, Capital One
    provided a service, but that service does not transform a loan
    into a sale within the meaning of section 1.451-4, Income Tax
    Regs.   The regulation encompasses a sale of services, but it does
    not follow that every provision of services is a sale of
    services.
    A sale requires two parties, a buyer and a seller.    See
    U.C.C. sec. 2-106(1) (2008); Commissioner v. Freihofer, 
    102 F.2d 787
    , 789-790 (3d Cir. 1939) (a “sale” requires parties standing
    to each other in the relation of buyer and seller, assent of the
    -102-
    minds to the same proposition, and passing of consideration),
    affg. Greisler v. Commissioner, 
    37 B.T.A. 542
     (1938).    Section
    1.451-4, Income Tax Regs., allows a seller a current deduction
    for estimated future expenses.    In a lending transaction, such as
    the extension of credit to a cardholder, the cardholder has not
    bought lending services from the lender and the lender has not
    sold lending services to the cardholder.    In fact, as argued by
    petitioners on the interchange issue, with respect to a credit
    card purchase transaction the lender is the buyer, having
    purchased a note receivable.
    C.   Gross Receipts With Respect to Sales
    Section 1.451-4(a)(1), Income Tax Regs., allows the
    deduction of contingent liabilities from “gross receipts with
    respect to sales with which trading stamps or coupons are
    issued”.   Section 1.451-4, Income Tax Regs., contemplates a
    scenario where the expenses are contingent, but the gross
    receipts are not.   The revenue from a sale is known at the time
    of sale and is the purchase price.
    With respect to credit card transactions, Capital One
    receives various types of revenue when it lends money to its
    cardholders.   The first income received is from interchange,
    which is a small percentage of the amount lent.    Interchange is
    known at the time of sale, but interchange is not a fee for any
    -103-
    service other than the lending of money, and the lending of money
    is not a sale of a loan or lending services.
    Capital One receives much of its income from finance charges
    on cardholder loans.   Finance charges are charged to the
    cardholder only if the cardholder does not pay the monthly
    balance in full within the grace period.   A cardholder may pay
    interest with respect to the loan for many months or even many
    years.   Similarly, a cardholder may incur late fees if a timely
    payment is not made.   A late fee may be incurred with respect to
    the first bill Capital One sends the cardholder or with respect
    to a bill sent many months or years later if the cardholder has
    not repaid the loan in full.
    Many other variables may affect the revenues Capital One
    receives with respect to its loan to the cardholder.   Capital One
    may alter interest rates.   The cardholder may default on the
    loan, exceed the credit limit and incur an overlimit fee, or
    incur an insufficient funds fee if a check paid to Capital One is
    not honored by the cardholder’s bank.   Although these revenues
    are related to Capital One’s lending to its cardholders, they are
    not “gross receipts with respect to sales with which * * *
    coupons are issued” within the meaning of section 1.451-4(a)(1),
    Income Tax Regs.   Capital One did not issue miles with respect to
    the revenues Capital One earned, with the arguable exception of
    -104-
    interchange.44   Miles were issued only for the amount of the
    cardholder’s purchase, and a cardholder earned no miles for
    finance charges or any fees incurred.   In short, interest,
    interchange, and the various fees a cardholder may incur are not
    sales revenues, and the purpose of the regulation is to match
    sales revenues with the expenses associated with the sale,
    specifically the cost of coupon redemption.    Mooney Aircraft,
    Inc. v. United States, 420 F.2d at 411.
    D.   Conclusion With Respect to the Milesone Rewards Issue
    Petitioners argue that deducting Capital One’s estimated
    cost of redemption would most clearly reflect its income without
    undue distortion.    With respect to the Milesone program, for book
    purposes Capital One estimated its future liability for airline
    tickets at $583,411 and $34,010,086 in 1998 and 1999,
    respectively.    Respondent agrees that the estimates are
    reasonable.   However, the reasonableness of the estimates and the
    economics of the Milesone program are irrelevant because the
    miles were not issued with sales and therefore, the requirements
    of section 1.451-4, Income Tax Regs., have not been met.
    Accordingly, the all events test applies, limiting Capital One’s
    deduction for airline tickets with respect to the Milesone
    44
    The number of miles issued had no direct relationship to
    the amount of interchange Capital One earned.
    -105-
    program to those amounts which are fixed and known and for which
    economic performance has occurred.45
    In reaching our holdings on all three issues, we have
    considered all arguments made, and to the extent not mentioned,
    we conclude that they are moot, irrelevant, or without merit.
    To reflect the foregoing,
    Decisions will be entered
    under Rule 155.
    45
    Because we hold that the Milesone coupons were not issued
    “with sales” as required by sec. 1.451-4, Income Tax Regs., we
    need not address respondent’s alternative arguments that:
    Capital One failed to attach the informational statement required
    by sec. 1.451-4(e), Income Tax Regs., explaining how the future
    redemption expenses were calculated; the airline tickets were not
    “other property”; and the Milesone Program was impermissibly
    conditional in that Capital One could terminate the program at
    any time.