In Re: Appraisal of DFC Global Corp ( 2016 )


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  •    IN THE COURT OF CHANCERY OF THE STATE OF DELAWARE
    IN RE APPRAISAL OF DFC GLOBAL           CONSOLIDATED
    CORP.                                   C.A. No. 10107-CB
    MEMORANDUM OPINION
    Date Submitted: April 28, 2016
    Date Decided: July 8, 2016
    Geoffrey C. Jarvis and Kimberly A. Evans, GRANT & EISENHOFER P.A.,
    Wilmington, Delaware; Attorneys for Petitioners.
    Raymond J. DiCamillo, Susan M. Hannigan and Rachel E. Horn, RICHARDS,
    LAYTON & FINGER, P.A., Wilmington, Delaware; Meryl L. Young and Colin B.
    Davis, GIBSON, DUNN & CRUTCHER LLP, Irvine, California; Attorneys for
    Respondent DFC Global Corporation.
    BOUCHARD, C.
    In this appraisal action, former stockholders of DFC Global Corporation
    (“DFC”) petitioned the Court to appraise the fair value of shares they held when
    the company was sold to a private equity buyer, Lone Star Fund VIII (U.S.), L.P.
    (“Lone Star”) for $9.50 per share in June 2014. Petitioners allege that DFC was
    sold at a discount to its fair value during a period of regulatory uncertainty that
    temporarily depressed the market value of the company. Using a discounted cash
    flow model based on management’s most recent five-year projections, petitioners’
    expert calculated a fair value of $17.90 per share. Respondent’s expert used a
    discounted cash flow model and a multiples-based comparable companies analysis,
    blending the two to calculate a much lower fair value of $7.94 per share.
    Respondent also urges the Court to consider the transaction price of $9.50 per
    share as the most reliable evidence of fair value.
    Although this Court frequently defers to a transaction price that was the
    product of an arm’s-length process and a robust bidding environment, that price is
    reliable only when the market conditions leading to the transaction are conducive
    to achieving a fair price. Similarly, a discounted cash flow model is only as
    reliable as the financial projections used in it and its other underlying assumptions.
    The transaction here was negotiated and consummated during a period of
    significant company turmoil and regulatory uncertainty, calling into question the
    reliability of the transaction price as well as management’s financial projections.
    1
    Thus, neither of these proposed metrics to value DFC stands out as being
    inherently more reliable than the other.
    In this opinion I conclude that the most reliable determinant of fair value of
    DFC’s shares is a blend of three imperfect techniques: a discounted cash flow
    model incorporating certain methodologies and assumptions each expert made and
    some of my own, the comparable company analysis respondent’s expert
    performed, and the transaction price. Giving each equal weight, I conclude that the
    fair value of DFC’s shares when the transaction closed was $10.21 per share.
    I.       BACKGROUND
    The facts recited in this opinion are my findings based on the stipulations of
    the parties, documentary evidence, and testimony presented at trial. I accord the
    evidence the weight and credibility I find it deserves.
    A.     The Parties
    Respondent DFC is a Delaware corporation with headquarters in
    Pennsylvania. DFC’s business focuses on alternative consumer financial services,
    colloquially known as payday lending. DFC was publicly traded on the NASDAQ
    exchange from 2005 until it was acquired by an indirect subsidiary of Lone Star in
    a merger transaction (the “Transaction”).1
    1
    Stipulated Joint Pre-Trial Order (“PTO”) ¶¶ 1, 41-44.
    2
    Petitioners Muirfield Value Partners, LP, Candlewood Special Situations
    Master Fund, Ltd., CWD OC 522 Master Fund, Ltd., Oasis Investments II Master
    Fund Ltd., and Randolph Watkins Slifka were stockholders of DFC at the time of
    the Transaction. Petitioners collectively hold 4,604,683 shares of DFC common
    stock that are eligible for appraisal.2
    B.        DFC Faces Regulatory and Business Uncertainty
    As of mid-2013, DFC was operating its payday lending business in ten
    countries through more than 1,500 retail storefront locations and internet
    platforms. 3 DFC faced significant competition in each of the countries in which it
    operated, although the nature of the competition varied from market to market.4
    DFC also was subject to regulations from different regulatory authorities across its
    markets. 5 One of the key risks DFC faced was the potential for changes to those
    regulations that could increase the cost of doing business or otherwise limit the
    company’s opportunities.6
    2
    PTO ¶¶ 12, 19, 24, 25, 30, 35.
    3
    JX 295 at 4.
    4
    
    Id. at 17.
    5
    See 
    id. at 18-22.
    6
    
    Id. at 24-26.
    3
    In the United States, for instance, the Consumer Financial Protection Bureau
    began to supervise and regulate DFC. The company was unable to predict whether
    and to what extent the Consumer Financial Protection Bureau would impose new
    rules and regulations on it, which had the potential to adversely affect DFC’s
    business in the United States. 7
    In the United Kingdom, DFC faced an even greater amount of regulatory
    uncertainty as a new regulator, the Financial Conduct Authority (the “FCA”),
    prepared to take over regulation of the payday lending industry, effective April 1,
    2014. 8 Before then, the Office of Fair Trading (the “OFT”) was DFC’s regulator
    in the U.K.
    In February 2012, the OFT began an in-depth review of some of the largest
    firms in the payday lending business to assess compliance with the Consumer
    Credit Act and the OFT’s “irresponsible lending guidance.”9 In November 2012,
    the OFT issued debt collection guidance requiring payday lenders to make
    disclosures to consumers regarding the use of continuous payment authority and to
    avoid using continuous payment authority to collect money from customers who
    7
    
    Id. at 26.
    8
    JX 490 at 30.
    9
    PTO ¶ 64.
    4
    were believed to be experiencing financial hardship. 10             Continuous payment
    authority is a mechanism by which lenders seek to automatically collect on loans
    by continuously accessing customers’ checking accounts in order to withdraw
    funds shortly after they appear in the account. 11
    In March and April 2013, the OFT sent letters to each of DFC’s U.K.
    businesses identifying deficiencies in their businesses and requiring corrective
    action. 12 This regulatory environment imposed certain transitional difficulties on
    DFC. In an earnings release on April 1, 2013, the company cut earnings guidance
    for the fiscal year (ending June 30) from $2.35-$2.45 per share to $1.70-$1.80 per
    share, noting that the transition period was causing liquidity problems for
    consumers in the United Kingdom, resulting in heightened loan default rates. 13
    In August 2013, DFC provided fiscal year 2014 adjusted EBITDA guidance
    of $200-240 million, noting that it was providing adjusted EBITDA rather than
    earnings per share until DFC had “clearer visibility as to the amount and timing of
    these [regulatory] issues.”14 DFC announced that it expected to operate “at a
    10
    
    Id. ¶ 72.
    11
    See Trial Tr. (“Tr.”) 15-16 (Gavin), 412-13 (Kaminski); JX 565 at 4.
    12
    PTO ¶ 77.
    13
    
    Id. ¶ 79.
    14
    JX 290 at 8.
    5
    continuing competitive disadvantage in the United Kingdom until all industry
    providers are required to operate consistently under the new regulatory
    framework.” 15 The company also stated, on the other hand, that it was hopeful that
    its market share would increase as some lenders began to face difficulties operating
    within the stricter regulatory environment and exited the market. 16
    In October 2013, the FCA issued a paper containing proposed new
    regulations that DFC expected would be implemented on April 1, 2014, when the
    FCA assumed its regulatory authority. 17 Among these proposals were stricter
    affordability assessments that would be effective April 1, 2014, and limits to two
    rollovers per loan and two continuous payment authority attempts, effective July 1,
    2014. 18 Rollovers allow a borrower to defer repayment of a loan by paying
    additional interest and fees. 19 Before the FCA issued its proposals, DFC had no
    limit on the number of rollovers its retail business would allow. 20 On November
    15
    PTO ¶ 85.
    16
    
    Id. 17 Id.
    ¶ 89.
    18
    
    Id. 19 JX
    587 at 76; JX 590 at 38.
    20
    JX 587 at 76-77. DFC’s online business was limited to six rollovers before principal
    would need to begin being repaid. 
    Id. at 77.
    6
    25, 2013, DFC also received notice that by the beginning of 2015, the U.K. would
    implement a total cost of credit cap for the company’s products.
    On January 30, 2014, DFC cut its adjusted EBITDA projections again,
    lowering its fiscal year 2014 forecast from $200-240 million to $170-200 million,
    noting the continued difficulties with the U.K. regulatory transition.21
    In February 2014, the OFT sent DFC a letter expressing serious concerns
    regarding DFC’s ability to meet the FCA’s impending new regulations.22           In
    response, DFC implemented a two-rollover limit effective in late March 2014, and
    clarified the enhancements to the company’s affordability assessments in April
    2014. 23
    The company believed that it had a good track record for navigating
    regulatory change, giving it a potential advantage over its competitors, and that it
    may be able to grow where others could not. 24 DFC had previously navigated a
    period of significant regulatory change in Canada from about 2007 to 2010, during
    which the Canadian provinces assumed regulatory authority from the federal
    21
    PTO ¶ 120.
    22
    
    Id. ¶ 130.
    23
    
    Id. ¶ 131.
    24
    
    Id. ¶¶ 207,
    208, 211.
    7
    government. 25      That regulation ended up benefiting DFC as more aggressive
    competitors were forced to scale back their operations, giving DFC a stronger
    market position after the regulatory environment stabilized.26
    Encouraged by its previous success in the Canadian regulatory overhaul,
    DFC hoped to have a similar experience with the changing U.K. environment.
    Both before and after the Transaction closed, DFC management thought that some
    competitors might exit the market in light of the new regulatory regime, allowing
    DFC to capture additional market share. 27 At the same time, DFC was aware that
    modifying its U.K. lending practices to accommodate the impending regulations
    put it at a disadvantage compared to competitors who did not adopt the new
    regulations before they took effect.28         In contrast, some of the key Canadian
    regulations had little impact on DFC’s business because they were rate-focused,
    and DFC’s products already fell within the acceptable rate range. 29 It is against
    this backdrop of regulatory uncertainty that the Transaction was negotiated.
    25
    Tr. 135-37 (Gavin); JX 409 at 21, 25.
    26
    See id.; Tr. 135-37 (Gavin); JX 587 at 66-67.
    27
    JX 309 at 23; Tr. 410-11, 470-74 (Kaminski). The competitor exits they hoped for did
    not materialize. Tr. 436-37, 447 (Kaminski).
    28
    PTO ¶ 75.
    29
    JX 587 at 65-66; Tr. 400-01 (Kaminski), 514-15 (Barner), 139-40 (Kaminski)
    (contrasting regulatory price points in Canada, which allowed DFC to operate profitably,
    with price points in U.K., which did not). The U.K. also was the largest of DFC’s
    8
    C.     Lone Star Acquires DFC
    In April 2012, DFC engaged Houlihan Lokey Capital Inc. (“Houlihan”) to
    investigate selling the company to a financial sponsor. This decision was inspired
    in part by the regulatory uncertainty the company faced, in addition to the
    company’s high leverage and questions regarding management succession.30
    Houlihan contacted six sponsors and eventually engaged in discussions with J.C.
    Flowers & Co. LLC and another sponsor, as well as an interested third party that
    Houlihan had not contacted. 31 During the summer, the three potential buyers
    conducted due diligence. In August 2012, one of the three lost interest in pursuing
    a transaction. In October, J.C. Flowers and the other potential buyer also lost
    interest. 32 Houlihan spent the next year reaching out to 35 more financial sponsors
    and three potential strategic buyers. 33
    In September 2013, DFC renewed discussions with J.C. Flowers and began
    discussions with Crestview Partners about a possible joint transaction.34        In
    markets, meaning the uncertain regulatory outcome would have a greater impact on the
    business than was the case with Canada. Tr. 140 (Kaminski).
    30
    Tr. 24 (Gavin).
    31
    PTO ¶¶ 65-68.
    32
    
    Id. ¶¶ 67-70.
    33
    
    Id. ¶ 71.
    34
    
    Id. ¶¶ 87-88.
    9
    October 2013, Lone Star also expressed potential interest in DFC. 35 Part of Lone
    Star’s interest in the transaction related to the regulatory uncertainty. Lone Star
    sought to take advantage of this uncertainty by buying DFC at this time, when its
    performance was weak and outlook unclear. 36
    In November 2013, DFC gave the three potential acquirers financial
    projections prepared by DFC’s management.37 On December 12, 2013, DFC got
    some bad news and some good news: Crestview was no longer interested in
    pursuing a transaction, but Lone Star made a preliminary non-binding indication of
    interest in acquiring DFC for $12.16 per share. 38 On December 17, J.C. Flowers
    made its own non-binding indication at $13.50 per share. 39
    On February 14, 2014, DFC’s board approved a set of revised projections
    prepared by management, which they shared with J.C. Flowers and Lone Star.40
    These projections lowered DFC’s projected earnings compared to the projections
    approved in November. 41 On February 28, 2014, Lone Star offered to buy DFC for
    35
    
    Id. ¶ 91.
    36
    Tr. 533-37 (Barner).
    37
    PTO ¶ 108.
    38
    
    Id. ¶¶ 113-14.
    39
    
    Id. ¶ 117.
    40
    
    Id. ¶¶ 123-25.
    41
    
    Id. ¶¶ 108,
    123.
    10
    $11.00 per share and requested a 45-day exclusivity period.42         To justify the
    reduction in price from its original indication of interest, Lone Star explained that
    the drop was due to the U.K. regulatory changes, the threat of increased U.S.
    regulatory scrutiny, downward revisions to company projections, reduced
    availability of acquisition financing, stock price volatility, and weak value in the
    Canadian dollar. 43 On March 11, DFC entered into the requested exclusivity
    agreement with Lone Star.44
    On March 26, 2014, DFC provided Lone Star with DFC management’s
    revised preliminary adjusted EBITDA forecast for fiscal year 2014, which had
    dropped by $24 million compared to the February projections. 45 The next day,
    Lone Star offered to buy DFC for $9.50 per share in cash, explaining this new drop
    in price as taking into account, among other things, the further downward revisions
    in company projections, another reduction in available acquisition financing,
    continued regulatory changes in the U.K., and a class action suit against the
    company that was disclosed in an 8-K filed on March 26, 2014. 46 Lone Star gave
    42
    
    Id. ¶ 132.
    43
    
    Id. ¶ 133.
    44
    
    Id. ¶ 140.
    45
    
    Id. ¶ 146.
    46
    
    Id. ¶¶ 147-48.
    11
    DFC 24 hours to accept the offer, but later extended that deadline to April 1,
    2014. 47 After receiving Lone Star’s offer, Houlihan did not contact any other
    financial sponsors or strategic buyers about a potential transaction.48
    At the end of March, DFC approved another set of projections (the “March
    Projections”) and directed management to share them with Lone Star. 49 Projected
    earnings dropped compared to the February projections, although the decline was
    less substantial than the decline from the November projections to the February
    projections. 50 On April 1, DFC’s board approved the Transaction and entered into
    a merger agreement with Lone Star.51           The next day, DFC announced the
    Transaction and publicly cut its earnings outlook once again, reducing its 2014
    fiscal year EBITDA projections from $170-200 million to $151-156 million. 52 The
    Transaction closed on June 13, 2014.53
    47
    
    Id. ¶ 149.
    48
    
    Id. ¶ 152.
    49
    
    Id. ¶¶ 156,
    160.
    50
    
    Id. ¶¶ 108,
    123, 161.
    51
    
    Id. ¶¶ 172-73.
    52
    
    Id. ¶ 175.
    53
    
    Id. ¶ 5.
    12
    D.      Procedural Posture
    Between June 18 and October 1, 2014, petitioners filed petitions for
    appraisal under 
    8 Del. C
    . § 262. 54 This Court consolidated their petitions on
    October 9, 2014,55 and held a three-day trial in October 2015. Post-trial argument
    was held on April 1, 2016, after which the parties provided further submissions.
    II.       LEGAL ANALYSIS
    A.      Legal Standard
    Petitioners request appraisal of their shares of DFC under 
    8 Del. C
    . § 262.
    “An action seeking appraisal is intended to provide shareholders who dissent from
    a merger, on the basis of the inadequacy of the offering price, with a judicial
    determination of the fair value of their shares.”56 Respondent has not disputed
    petitioners’ eligibility for an appraisal of their shares.57
    In an appraisal action, the Court will determine the fair value of the
    dissenting stockholders’ shares “exclusive of any element of value arising from the
    accomplishment or expectation of the merger or consolidation, together with
    interest, if any, to be paid upon the amount determined to be the fair value. In
    54
    See Stipulation and Order for Consolidation and Appointment of Grant & Eisenhofer
    P.A. as Lead Counsel at 2.
    55
    
    Id. at 5.
    56
    Cavalier Oil Corp. v. Harnett, 
    564 A.2d 1137
    , 1142 (Del. 1989).
    57
    PTO ¶ 12.
    13
    determining such fair value, the Court shall take into account all relevant
    factors.” 58    The appraisal excludes any value resulting from the merger itself
    because its purpose is to compensate dissenting stockholders for what was taken
    from them. 59 Consequently, the value of the stock must be appraised on a going
    concern basis.60
    In using “all relevant factors” to determine fair value, the Court has
    significant discretion to use the valuation methods it deems appropriate, including
    the parties’ proposed valuation frameworks, or one of the Court’s own making.61
    This Court has relied on a number of different approaches, including comparable
    company and transaction analyses, discounted cash flow analyses, and the price of
    the relevant transaction if it was struck at arm’s length.62 “This Court may not
    58
    
    8 Del. C
    . § 262(h).
    59
    See Weinberger v. UOP, Inc., 
    457 A.2d 701
    , 713 (Del. 1983) (quoting Tri-Cont’l Corp.
    v. Battye, 
    74 A.2d 71
    , 72 (Del. 1950)).
    60
    Huff Fund Inv. P’ship v. CKx, Inc., 
    2013 WL 5878807
    , at *8 (Del. Ch. Nov. 1, 2013),
    aff’d, 
    2015 WL 631586
    (Del. Feb. 12, 2015) (TABLE).
    61
    See In re Appraisal of Ancestry.com, Inc., 
    2015 WL 399726
    , at *15 (Del. Ch. Jan. 30,
    2015).
    62
    See Laidler v. Hesco Bastion Envtl., Inc., 
    2014 WL 1877536
    , at *6 (Del. Ch. May 12,
    2014) (compiling authorities). See also In re Lane v. Cancer Treatment Ctrs. of Am.,
    Inc., 
    1994 WL 263558
    , at *2 (Del. Ch. May 25, 1994) (“[R]elevant factors to be
    considered include assets, market value, earnings, future prospects, and any other
    elements that affect the intrinsic or inherent value of a company’s stock.”) (quoting
    
    Weinberger, 457 A.2d at 711
    ) (internal quotation marks omitted).
    14
    adopt at the outset an ‘either-or’ approach, thereby accepting uncritically the
    valuation of one party, as it is the Court’s duty to determine the core issue of fair
    value on the appraisal date.”63 “In an appraisal proceeding, the burden to establish
    fair value by a preponderance of the evidence rests on both the petitioner and the
    respondent.”64
    B.      Overview of Valuation Methodologies
    Petitioners and respondent submitted the reports of experts who performed
    valuations of DFC.         Kevin F. Dages, Executive Vice President of Compass
    Lexecon, was petitioners’ expert. Daniel Beaulne, Managing Director of Duff &
    Phelps, LLC, was respondent’s expert.
    Dages relied solely on a discounted cash flow model for his valuation. He
    also performed a multiples-based comparable company analysis but gave it no
    weight in his valuation.65 Based on the discounted cash flow model alone, he
    valued DFC at $17.90 per share.66
    Beaulne used a discounted cash flow model, valuing the company at $7.81
    per share, and a multiples-based comparable company analysis, valuing the
    63
    In re Appraisal of Metromedia Int’l Gp., Inc., 
    971 A.2d 893
    , 899-900 (Del. Ch. 2009).
    64
    Laidler, 
    2014 WL 1877536
    , at *6 (citing M.G. Bancorporation, Inc. v. Le Beau, 
    737 A.2d 513
    , 520 (Del. 1999)).
    65
    JX 596 (“Dages Report”) ¶¶ 99-105.
    66
    
    Id. ¶¶ 92,
    117.
    15
    company at $8.07 per share. 67 He weighted each methodology equally (50-50) for
    a final fair value of $7.94 per share. 68         Respondent further argues that the
    transaction price of $9.50 is a reliable indicator of fair value, 69 a proposition
    petitioners vigorously dispute.70
    There is a wide gap of $10.09 per share between the experts’ discounted
    cash flow valuations, a difference larger than the deal price itself. This sharp
    divide is the result of many disagreements regarding the proper inputs and methods
    to use in the discounted cash flow model. 71 I begin by analyzing the parties’
    respective positions regarding the discounted cash flow model in order to
    determine the inputs for the model I use. I then turn to consider respondent’s
    multiples-based comparable company analysis and the transaction price.
    67
    JX 597 (“Beaulne Report”) at 64, 69.
    68
    
    Id. at 71.
    69
    Resp’t’s Post-Trial Br. 4-14.
    70
    Pet’rs’ Post-Trial Reply Br. 4-15.
    71
    Unfortunately, the existence of drastic differences between experts’ valuations is not an
    uncommon issue. See In re Appraisal of Dell Inc., 
    2016 WL 3186538
    , at *45 (Del. Ch.
    May 31, 2016) (expressing concern over the problem of significant valuation differences
    between experts and citing study showing that respondents’ experts produced valuations
    on average 22% below deal price, and petitioners’ experts produced valuations on
    average 186% above deal price) (“Two highly distinguished scholars of valuation
    science, applying similar valuation principles, thus generated opinions that differed by
    126%, or approximately $28 billion. This is a recurring problem.”).
    16
    C.     The Discounted Cash Flow Model
    The experts have numerous points of disagreement regarding how to
    construct a discounted cash flow valuation of DFC, but a few areas are largely
    undisputed. I begin with those. Dages and Beaulne had somewhat different
    approaches to the firm’s capital structure to be used in the discounted cash flow
    model, with Beaulne using DFC’s current debt-to-capital ratio of 74% and Dages
    using three different capital structure scenarios.            Both experts note that
    management did not have a target capital structure, and Dages agrees that
    Beaulne’s use of a 74% ratio is reasonable. 72 Like Beaulne, rather than test
    multiple scenarios, I will use a 74% debt-to-capital ratio.
    Dages and Beaulne estimated the cost of debt using the yield to maturity of
    DFC’s 2016 senior notes, 73 but Beaulne used a measurement date closer to (but
    still before) the announcement of the Transaction. Beaulne criticizes Dages’ use of
    a less recent measurement period,74 and Dages appears to agree that Beaulne’s
    more recent figure is a reasonable choice. 75 I will therefore use Beaulne’s estimate
    of 10.0% rather than Dages’ estimate of 9.1%.
    72
    JX 601 (“Dages Rebuttal”) ¶ 14.
    73
    Dages Report ¶ 72, Beaulne Report at 53-54.
    74
    JX 600 (“Beaulne Rebuttal”) at 11.
    75
    Dages Rebuttal ¶ 15 (describing cost of debt as one of the inputs on which the experts
    could agree).
    17
    Dages and Beaulne agreed on the risk-free rate (3.14%) and the equity risk
    premium (6.18%). 76 These metrics are reasonable, and I adopt them as well.
    Turning to the disputed inputs, which are numerous, the primary areas of
    disagreement concern various factors used to calculate DFC’s weighted average
    cost of capital (“WACC”), namely beta, the method of unlevering and relevering
    beta, the appropriate size premium, and the tax rate. The experts also disagree over
    certain adjustments to the company’s projected cash flows, including changes to
    net working capital and adjustments to account for stock-based compensation
    expenses. Finally, the experts disagree over whether to use a two-stage model or a
    three-stage model for calculating DFC’s value. I address these issues below.
    1. Beta
    “Market or systematic risk is measured . . . by beta. Beta is a function of
    the expected relationship between the return on an individual security . . . and the
    return on the market.” 77 Beta is used together with the equity risk premium to
    estimate the expected risk premium for the subject company as a component of its
    cost of capital.78 A relatively small change in beta can substantially affect the
    WACC and, consequently, the outcome of a discounted cash flow model.
    76
    Dages Report ¶¶ 75, 79; Beaulne Report Ex. II.
    77
    Shannon P. Pratt & Roger J. Grabowski, Cost of Capital: Applications and Examples
    203 (5th ed. 2014) [hereinafter Cost of Capital].
    78
    Cost of Capital at 202-03.
    18
    Although determining beta is an important exercise, it can be a quite theoretical
    one. The experts’ theories diverge significantly on this metric, leading to markedly
    different valuations.
    Dages estimated DFC’s beta using two years of weekly stock returns for
    DFC and nine peer companies relative to a market index.79 Bloomberg L.P. is
    Dages’ source for these estimates. 80 Dages used raw beta, as opposed to smoothed
    beta. 81     Using these companies, Dages estimated three betas that he uses in
    calculating his WACC: one based on DFC’s observed beta, one based on all nine
    peer companies, and one based on the six of his nine peer companies that are based
    in the United States.82
    Beaulne estimated beta using two different methodologies and took the
    midpoint of the two. 83 Beaulne used the betas of six peer companies, all of which
    were included in Dages’ peer group. 84 Unlike Dages, he did not use the historical
    79
    Dages Report ¶ 76, Ex. 3 (listing nine peer companies that are shaded, indicating
    inclusion in beta estimate).
    80
    
    Id. ¶ 76.
    81
    Dages Report ¶ 77, Ex. 10. I explain the difference in my analysis below.
    82
    
    Id. ¶¶ 76-77,
    Ex. 10. Dages did not average these beta groups, but instead used them to
    construct a beta range and select betas within that range for his various capital structure
    scenarios. See Dages Report Ex. 11.
    83
    Beaulne Report at 56.
    84
    
    Id. at 55-56,
    66.
    19
    beta of DFC itself in addition to his selected peers. 85 His first method used
    Bloomberg weekly beta for a five-year period, in contrast to Dages’ two-year
    period. Beaulne used smoothed beta, rather than raw beta.86 Smoothed beta
    adjusts the historical (raw) beta by taking an average of the historical beta,
    weighted two-thirds, and the market beta of 1.0, weighted one-third.87
    Consequently, this smoothed beta will be higher than raw beta for relatively stable
    companies with a raw beta below 1.0, but will be lower than raw beta for more
    volatile companies with a raw beta above 1.0. The purpose of this adjustment is to
    create a forward-looking estimated beta from the historical beta, based on the
    assumptions that a company’s beta will revert to the market average and that an
    estimate of 1.0 is superior to an unreliable beta estimate. 88
    Beaulne’s second methodology was to use the betas provided by Barra 89 as
    of May 31, 2014.          Barra calculates predicted, forward-looking betas using a
    proprietary model designed to measure a firm’s sensitivity to changes in the
    85
    Tr. 706 (Beaulne).
    86
    Beaulne Report at 56-57.
    87
    
    Id. 88 See
    Cost of Capital at 211.
    89
    Barra is a company owned by MSCI Inc. that provides global investment decision-
    making tools, including market indices and a beta service. Beaulne Report at 56; Tr. 596
    (Beaulne).
    20
    industry or the market. 90 The model still relies on historical baseline information,
    but makes adjustments based on various factors in order to determine the forward-
    looking beta figure. 91 Beaulne used Barra betas that were benchmarked against a
    global index.92
    To summarize, the main points of contention between the experts regarding
    beta are: (1) whether to include Barra beta or only use Bloomberg beta; (2) which
    companies to include in the beta estimate; (3) whether to use a two-year or a five-
    year historical period; and (4) whether to use raw beta or smoothed beta. I address
    these in turn.
    a. Barra Beta
    Dages criticizes Beaulne’s use of Barra beta for half of his beta estimation,
    while Beaulne criticizes Dages for omitting Barra beta. Beaulne’s criticism is
    primarily that different methods of calculating beta can produce very different
    results, and thus by implication, using multiple beta methodologies will improve
    the robustness of the estimate. 93
    90
    Beaulne Report at 56; Cost of Capital at 217.
    91
    Tr. 595-97 (Beaulne).
    92
    Beaulne Report at 56.
    93
    See Beaulne Rebuttal at 7.
    21
    Dages criticizes the use of Barra betas because they derive from a
    proprietary model and cannot be replicated. 94 Dages opines that, without the
    ability to replicate or reverse engineer Barra betas, one cannot properly determine
    whether they should be included in the beta estimate or whether they deserve to be
    given the same weight as the Bloomberg betas.95 Beaulne contends that Barra is
    not quite such a black box. For one thing, he notes that he could have paid Barra a
    substantial price to see each factor in the Barra model if he had wished to receive
    this information.96 Presumably, this would have allowed him to see the value and
    weighting of each factor and truly understand each beta figure. In addition, at
    Beaulne’s request, Barra gave Beaulne the replications of their formulas for the
    peer group betas Beaulne relied upon in this case. 97 Beaulne also opined that his
    firm has performed quality checks using the beta replications in the past,98 but
    admitted that it has not performed any analysis on the predictive value of Barra
    betas in general. 99
    94
    Dages Rebuttal ¶ 18.
    95
    Tr. 254, 319-20 (Dages).
    96
    Tr. 598 (Beaulne).
    97
    Tr. 599-600 (Beaulne).
    98
    Tr. 599 (Beaulne).
    99
    Tr. 704 (Beaulne), 770-71 (Dages). See also Tr. 601-02 (Beaulne) (admitting that there
    is no authoritative literature analyzing predictive power of Barra beta).
    22
    In this case, Dages’ concerns regarding the proprietary nature of Barra betas
    are persuasive. In Golden Telecom, this Court expressed similar concerns when it
    rejected the use of Barra beta because Barra did not publicly disclose the weight of
    each factor used in its proprietary model, did not explain the changes in different
    versions of the model, and because the expert who relied upon it did not fully
    understand all details of the model. 100 The Court emphasized that it was not
    rejecting the use of Barra beta in all cases, but noted that a record of how Barra
    beta works and why it is superior would be a necessary prerequisite to its adoption
    in other appraisal cases. 101 This Court has subsequently approved the use of Barra
    beta in another case,102 but heeding the warnings laid out by Golden Telecom is
    more appropriate in the present context.
    Here, as in Golden Telecom, I am not convinced that Beaulne fully
    understood the details underlying the peer companies’ Barra betas or why they
    differed from those companies’ Bloomberg betas. It did not appear that he could
    recreate the Barra betas he used.103 Although Barra replicated its betas for him in
    100
    Global GT LP v. Golden Telecom, Inc., 
    993 A.2d 497
    , 520 (Del. Ch. 2010) (Strine,
    V.C.), aff’d, 
    11 A.3d 214
    (Del. 2010).
    101
    
    Id. at 521.
    102
    IQ Hldgs., Inc. v. Am. Commercial Lines Inc., 
    2013 WL 4056207
    , at *4 (Del. Ch.
    Mar. 18, 2013) (using Barra beta while noting that it fell at the midpoint of expert’s other
    beta estimates), aff’d, 
    80 A.3d 959
    (Del. 2013) (TABLE).
    103
    Tr. 695-96 (Beaulne).
    23
    this case, when questioned about the betas for one of his comparable companies,
    Beaulne was unable to explain why the company’s Barra beta was significantly
    higher than its Bloomberg beta.104 Perhaps most problematic, neither Beaulne nor
    any published research has demonstrated the predictive effectiveness of Barra
    betas.105 Consequently, I have very little information guiding whether to rely on
    Barra betas in constructing a valuation of DFC. There is no benefit to using a
    second beta methodology without confidence in the methodology itself. Unlike
    Beaulne, I am not confident that Barra betas are sufficiently reliable to warrant a
    50% weighting, a value that Beaulne seems to have chosen arbitrarily, or to
    warrant any weighting in this case. Thus, although they may have use in other
    cases, I reject the use of Barra betas here, and will use only Bloomberg betas.
    b. Beta Peer Group
    The experts used different peer groups of companies to compute their
    respective estimates of beta. Beaulne used six companies in his analysis. Dages
    used nine companies, including the same six that Beaulne used.106
    104
    Tr. 701-03 (Beaulne).
    105
    
    See supra
    note 99.
    106
    The six peer companies in common are: Cash America International, Inc., Cash
    Converters International Limited, EZCORP, Inc., First Cash Financial Services Inc.,
    International Personal Finance Plc, and World Acceptance Corp. Dages Report Ex. 10;
    Beaulne Report Ex. II.
    24
    Each of the six companies both experts used was comparable to DFC, as
    evidenced by the experts’ agreement on them and by their use in peer group
    analyses that six different firms (including DFC itself, Lone Star, and Houlihan)
    used to evaluate DFC for various reasons from April 2013 to June 2014.107 Four of
    these peer companies were used by all six firms in their analyses. 108
    Dages selected three additional peers: Provident Financial plc, Springleaf
    Holdings, Inc., and Credit Acceptance Corporation.109 These three peers were only
    selected as comparable companies in one or two of the analyses described above.
    Respondent criticizes these peers as incomparable to DFC. Dages conceded some
    of these differences at trial. One of Provident Financial’s primary products is
    credit cards, but DFC does not have a credit card business.110 Springleaf offers life
    insurance products, unlike DFC. 111 Credit Acceptance specializes in automobile
    financing programs to car dealers. 112 The only firm to select Credit Acceptance as
    a comparable company (KPMG) used it only to compare it to one minor line of
    107
    Dages Report Ex. 3. The other three firms were KPMG, ICR, and Hudson Americas.
    108
    
    Id. 109 Id.
    Ex. 10.
    110
    
    Id. Ex. 4;
    Tr. 371 (Dages).
    111
    Dages Report Ex. 4; Tr. 371 (Dages). See also Tr. 641 (Beaulne) (opining that
    Springleaf was in several businesses that were fundamentally different from DFC’s).
    112
    Dages Report Ex. 4.
    25
    DFC’s business representing a small percentage of revenue for purposes of an
    impairment analysis. 113 These companies differ meaningfully from DFC and are
    not appropriate comparisons in my view. Beaulne’s selection of six peers, all of
    which Dages also selected, is the more appropriate group, which I will use.
    Apart from the disagreement over the three additional companies Dages
    used in his peer group, Dages criticizes Beaulne for failing to incorporate or even
    consider DFC’s own beta in his analysis. The experts agree that using a peer group
    tends to be preferable to using only DFC’s beta, because using a single company’s
    beta exposes the estimate to measurement error and idiosyncrasies.114 But Dages
    assessed DFC’s beta alongside the peer group’s betas in order to select the
    appropriate beta,115 while Beaulne disregarded it. 116
    I agree that using DFC’s beta in isolation would expose the discounted cash
    flow model to measurement error.         At the same time, the most comparable
    company to DFC is DFC itself, and in my view it is appropriate to factor DFC’s
    beta into the analysis, a proposition that Dages supports and Beaulne did not rebut.
    113
    Tr. 370 (Dages), 641 (Beaulne).
    114
    Tr. 318-19 (Dages), 593 (Beaulne), 708-09 (Beaulne). At trial, Dages also
    commented that he was sufficiently comfortable with DFC’s standalone beta that he
    would be willing to use it in isolation. Tr. 764-67 (Dages).
    115
    Tr. 764-67 (Dages).
    116
    Tr. 706-07 (Beaulne).
    26
    The simplest way to do so is by adding it as a seventh beta in the peer analysis.
    Although commentary on this approach is somewhat sparse, constructing a beta
    that blends the company’s beta with a peer group’s betas finds some support in
    financial literature 117 and this Court’s precedent.118
    In the Golden Telecom case, this Court supported the theory in two ways.
    First, the Court used as a peer group an index of NASDAQ-traded
    telecommunications companies, which the Court noted included the subject
    company itself. Second, and more importantly, the Court’s final beta was a blend
    of the Company’s observed beta, weighted 2/3, and the industry peer group’s beta,
    weighted 1/3.119 By adding DFC as a seventh “peer” in the beta calculation, I am
    essentially performing the same exercise, albeit with a smaller peer group and a
    more modest weight applied to the subject company than in Golden Telecom, to
    arrive at a final beta weighted 14% (1/7) to DFC’s beta and 86% (6/7) to the peer
    group’s betas. Because DFC’s own observed beta is a meaningful input alongside
    117
    See Robert W. Holthausen & Mark E. Zmijewski, Corporate Valuation: Theory,
    Evidence & Practice 308 (1st ed. 2014) (discussing the Vasicek Adjusted Beta Method,
    which provides a blend between the subject company’s beta and a peer group or industry
    beta, weighted by standard error); 
    id. at 309,
    334 (providing and explaining beta
    calculation exercises that involve averaging betas of peer companies and the subject
    company).
    118
    See Golden 
    Telecom, 993 A.2d at 523
    .
    119
    
    Id. at 523-24.
    27
    the betas of its peers, I consider this weighting preferable to the 0% weighting DFC
    would receive in the peer-only analysis.120 I therefore use DFC and its six peers to
    estimate DFC’s beta.
    c. Measurement Period
    In selecting their betas, Beaulne used a five-year measurement period and
    Dages used a two-year period.         A five-year period is the most common for
    measuring beta and generally results in a more accurate measurement, although
    two-year periods are used in certain circumstances.121
    At trial, Dages opined that he used the two-year measurement period to
    capture the regulatory uncertainty in the market.122 Beaulne contended that shorter
    periods are used when a fundamental change in business operations occurs, not
    when an industry is continuously going through regulatory change. 123 Beaulne’s
    account better matches that of authoritative literature, which lists reasons for a
    shorter period such as a major acquisition or divestiture, financial distress, or
    120
    Adding DFC to the beta analysis reduces DFC’s estimated beta, because DFC’s
    unlevered beta is on the low end of its peer group, although its levered beta is high as a
    result of the agreed capital structure, consisting of 74% debt. See Appendix B.
    121
    Cost of Capital at 208; James R. Hitchner, Financial Valuation: Applications and
    Models 256 (3d ed. 2011). A related decision is how frequently to sample beta, with a
    monthly basis being the most common. Cost of Capital at 208. Here, both experts used
    weekly sampling, as do I.
    122
    Tr. 255 (Dages).
    123
    Tr. 594-95 (Beaulne).
    28
    cancellation of a significant contract.124 In my opinion, a five-year measurement
    period is conducive to a more accurate beta estimate in this case.
    d. Beta Smoothing
    Dages used raw betas while Beaulne used smoothed betas.                The beta
    smoothing technique Beaulne used adjusts historical raw beta to a forward-looking
    beta estimate by averaging the historical estimate, weighted two-thirds, with the
    market beta of 1.0, weighted by one-third.125 This practice attempts to capture the
    tendency of betas to revert over time to the market mean of 1.0, a tendency Dages
    acknowledged at trial. 126 This practice also recognizes that, when beta estimates
    are unreliable, an estimate of 1.0 can be a superior estimate. 127 In light of my
    decision not to use Barra betas, which are also forward-looking, I believe it is
    appropriate to adjust historical betas to a forward-looking estimate for purposes of
    constructing a forward-looking WACC, even if the smoothing methodology
    appears somewhat crude.
    124
    Cost of Capital at 208. See also Tim Koller, Marc Goedhart & David Wessels,
    Valuation: Measuring and Managing the Value of Companies 247 (5th ed. 2010) (noting
    that long estimation period may be inappropriate when analysis of the five-year historical
    chart shows changes in corporate strategy or capital structure that could render prior data
    irrelevant).
    125
    Cost of Capital at 211; Tr. 595 (Beaulne) (describing use of smoothed beta to generate
    a forward-looking estimate).
    126
    Cost of Capital at 211; Tr. 332 (Dages).
    127
    Cost of Capital at 211.
    29
    *****
    To summarize, the beta calculation I will use consists of Bloomberg five-
    year smoothed betas for the six peer companies the two experts agreed on and for
    DFC itself. I will use the average of this peer group and will not use Barra
    betas.128
    2. Beta Unlevering Method
    Published betas “for publicly traded stocks typically reflect the leverage of
    each respective company,” which means that these betas incorporate both business
    risk and capital structure risk.129 All else being equal, the equity of companies
    with higher levels of debt is generally riskier than that of companies with lower
    levels of debt. 130 In order to properly apply the betas of peer companies to a
    subject company, those companies’ betas must be adjusted to account for the
    differences between the capital structures of the peer companies and of the subject
    company. 131 This is accomplished in a few steps: first, unlevering the betas of the
    peer group companies to their theoretical values as if the companies had no debt,
    128
    To put this conclusion in perspective, I note that both experts acknowledged that the
    difference between the two-year and the five-year period and between using smoothed
    and raw Bloomberg betas was of minor importance in this case. Tr. 710-12 (Beaulne);
    Dages Rebuttal ¶ 19.
    129
    Cost of Capital at 243.
    130
    
    Id. at 243.
    131
    
    Id. at 244;
    Tr. 185-87 (Dages).
    30
    thereby removing capital structure risk and leaving only business risk; second,
    estimating the subject company’s unlevered beta in light of the peer group’s
    unlevered betas (for instance, by taking the average); and third, relevering that beta
    to reflect the amount of debt present in the subject company’s capital structure and
    the resulting capital structure risk.132
    Beaulne and Dages used different formulas for unlevering the betas of
    DFC’s peer group. Dages unlevered beta using the Fernández formula, which
    accounts for the beta of the company’s debt,133 while Beaulne used the Hamada
    formula, which does not. 134 Unsurprisingly, each expert contends that the other’s
    chosen methodology is inferior.
    The Hamada formula is generally accepted and commonly used for
    unlevering and relevering equity betas.135           Dages concedes that the Hamada
    formula is frequently used, especially compared to the Fernández formula.136
    Nonetheless, a leading authority has cautioned that its use is generally inconsistent
    132
    Cost of Capital at 244.
    133
    Dages Report Ex. 10; Dages Rebuttal ¶ 22; Cost of Capital at 255-56.
    134
    Beaulne Report Ex. II; Beaulne Rebuttal at 5-6; Cost of Capital at 247-48.
    135
    Beaulne Rebuttal at 5. See also Cost of Capital at 247 (noting that Hamada formulas
    are commonly cited); Tr. 644 (Beaulne). The Hamada formulas are listed in Appendix B.
    136
    Tr. 187, 256, 332, 783 (Dages).
    31
    with capital structure theory and practice, recommending that practitioners instead
    use one of several other formulas, including the Fernández formula.137
    The Fernández formula, however, is not commonly used in estimating a
    public company’s weighted average cost of capital. 138 At trial, Beaulne opined that
    he had never seen anyone use it to unlever and relever betas despite the fact that
    the concept has been around for a long time, and that the formula had not been
    peer-reviewed. 139 As mentioned above, however, at least one persuasive authority
    has suggested that the Fernández formula is more appropriate than the Hamada
    formula.
    The Fernández formula attributes some of the risk inherent in beta to a
    company’s debt, lowering the beta of its equity. 140 To properly use the Fernández
    formula, a practitioner must estimate the beta of the company’s debt, based on
    fluctuations in the debt’s market price.141 Here, instead of using debt betas for
    each individual company, Dages used the same debt beta of 0.31 for all the peer
    companies, based on a regression of the two-year returns of a high-yield corporate
    137
    Cost of Capital at 266.
    138
    Beaulne Rebuttal at 5.
    139
    Tr. 643-44 (Beaulne).
    140
    Tr. 187-88 (Dages).
    141
    Cost of Capital at 219-23.
    32
    bond ETF against the S&P 500 index. 142 Beaulne criticizes Dages’ failure to use
    individual debt betas estimated for each company. 143 Alternately, when observed
    debt betas are unavailable, a practitioner can estimate an individual company’s
    debt beta by creating a synthetic credit rating for that company. 144 Dages did not
    do this either. 145
    The Fernández formula has merits that may warrant its use in an appropriate
    case. But here, the limits in available data, namely the lack of observed or even
    estimated debt betas for each individual company in the peer group, negate the
    benefit that the formula could provide. Beaulne opined that it is more appropriate
    to use the Hamada formula than to use the Fernández formula based on a debt
    index without measuring each company’s debt betas, which could lead to skewed
    results.146 I agree. No method is ideal. But, in my view, it is more appropriate in
    this case to use the Hamada formula, which is widely accepted, readily understood,
    and not subject to dispute about whether it is properly calculated, even if it is
    arguably an imperfect tool.
    142
    Dages Report ¶ 77 n.168; Tr. 333-34 (Dages).
    143
    Beaulne Rebuttal at 6.
    144
    Tr. 336-38 (Dages); see also Cost of Capital 220-21 (providing table of beta estimates
    based on credit ratings, which Dages also did not use).
    145
    Tr. 338 (Dages).
    146
    Tr. 646-47, 748 (Beaulne).
    33
    3. Size Premium
    A size premium is an adjustment to a company’s estimated cost of capital to
    reflect risks stemming from the size of the company, following the general theory
    that smaller companies tend to be riskier than larger ones.147 Both experts applied
    size premiums in calculating DFC’s weighted average cost of capital. 148 They
    disagree, however, on the magnitude of that premium.
    Dages calculated his size premium based on DFC’s equity market
    capitalization on April 1, 2014, the day before the announcement of the
    Transaction. He used this market capitalization to determine the decile in the Duff
    & Phelps 2014 Valuation Handbook into which DFC would fall.149 DFC’s market
    capitalization of $346 million as of April 1 placed it within the 9th decile ($340
    million to $633 million).            According to the Valuation Handbook, that decile
    corresponds to a size premium of 2.81%, which Dages used.150
    Beaulne took a more complicated approach using two sources of size
    premiums: (1) the 2014 Duff & Phelps Valuation Handbook, which Dages used,
    and (2) the Duff & Phelps Risk Premium Report. He chose the midpoint of the
    147
    Cost of Capital at 301, 308.
    148
    Beaulne Report at 58-59; Dages Report ¶¶ 80-81.
    149
    
    Id. ¶¶ 80-81.
    150
    Id.; Duff & Phelps, 2014 Valuation Handbook: Guide to Cost of Capital Appendix 3
    [hereinafter Valuation Handbook].
    34
    two size premiums he selected from these sources (3.87% and 4.60%) to reach his
    final size premium of 4.24%. 151
    As explained below, I disagree with Beaulne’s use of the Risk Premium
    Report and I come to a different conclusion than both of the experts on which size
    premium to use from the Valuation Handbook based on some of the considerations
    to which Beaulne testified. In my opinion, the appropriate size premium to use in
    calculating the WACC is 3.52%.
    For the first part of his methodology, Beaulne selected a different size
    premium from the Valuation Handbook than Dages because Beaulne used a
    microcap value for the combined 9th and 10th deciles, which cover companies
    with a market capitalization in a wide range, from about $2.4 million to $632.8
    million. 152 Beaulne opined that this approach was appropriate because DFC’s
    market capitalization fell close to the edge of the 9th decile and would have fallen
    into the 10th if its market capitalization was just two percent lower.153 In his
    opinion, falling into the lower decile was a realistic possibility because of
    discouraging financial results issued on April 2, 2014, the same day the transaction
    was announced. Although April 1 was the last unaffected trading day, Beaulne
    151
    Beaulne Report at 58-59.
    152
    
    Id. at 58;
    Valuation Handbook Appendix 3.
    153
    Beaulne Rebuttal at 10.
    35
    viewed the negative financial developments disclosed on April 2 as part of the
    company’s intrinsic value, justifying some blending of the two deciles.154
    Beaulne also justified his selection of the combined 9th and 10th deciles on
    the theory that, because the valuation for which the size premium is being selected
    is supposed to be based on an independent discounted cash flow analysis, that form
    of valuation should determine the appropriate size decile, rather than a company’s
    market capitalization, which is based on stock price. According to Beaulne, this
    leads to a “circularity issue because you can . . . predetermine which decile you fall
    into based on your selection.”155 Beaulne claimed to have avoided this issue by
    choosing a size premium based on a broader category incorporating both deciles.
    Constructing a valuation based on an iterative methodology, and selecting a
    size premium based on that valuation, appears to be a practice suited for companies
    that are not publicly traded. Practitioners are advised to use an iterative process for
    closely held companies because, in the absence of a publicly known market
    capitalization, the analyst does not know the value of the company until she has
    completed the valuation.156          In Sunbelt, this Court recognized the circularity
    154
    
    Id. at 10-11;
    Tr. 648 (Beaulne).
    155
    Tr. 613 (Beaulne).
    156
    See Cost of Capital at 1204.
    36
    problem inherent in valuing companies with unknown market capitalizations.157
    The fact that market value is the key input in determining a private company’s size
    premium is problematic, particularly when the company falls close to the border
    between two size premium measures, because the size premium then affects the
    valuation of the company. 158          Acknowledging the need to address this
    methodological problem, the Court in Sunbelt selected a size premium for the two
    valuation deciles that the company appeared to straddle, thus avoiding the need to
    choose one decile over the other.159 Beaulne took the same approach by using the
    microcap category covering both the ninth and tenth deciles, with a resulting size
    premium of 3.87%.
    Beaulne’s methodology overlooks the key difference in this case:           the
    market capitalization of DFC was not unknown, because DFC was a public
    company. In other words, it is not necessary to attempt to artificially derive an
    approximation of DFC’s market value because the actual market value of DFC was
    known. Beaulne’s argument against using market value to construct a fundamental
    value thus misses the point here. The size premium is indeed an input into the
    157
    In re Sunbelt Beverage Corp. S’holder Litig., 
    2010 WL 26539
    , at *11 (Del. Ch. Jan. 5,
    2010), as revised (Feb. 15, 2010) (discussing circularity problem in context of a private
    company).
    158
    
    Id. at *11-12.
    159
    
    Id. at *12.
    37
    Court’s calculation of fundamental value—it affects the cost of capital used in the
    discounted cash flow model, thereby affecting the valuation. But the size premium
    itself is calculated using market value, when available, as it is here.160 That the
    size premium is being used in a fundamental valuation does not affect how the size
    premium itself is calculated.
    That said, I agree with Beaulne that the market value of DFC on April 1,
    2014 was missing an important piece of information. On April 2, just one day
    later, DFC announced reduced earnings guidance at the same time that it
    announced the Transaction. 161 The reduction was significant, moving from the
    previous quarter’s guidance of $170-200 million in 2014 adjusted EBITDA to
    $151-156 million.162 Beaulne opines that it is inappropriate to use the market
    value as of April 1, 2014 because that value did not reflect the negative impact of
    the reduced earnings guidance. 163
    160
    See Cost of Capital at 308 (noting that size premium decile tables are constructed
    based on market capitalization); 
    id. at 327
    (noting that size measures are based on market
    value and that iterative process or alternate studies can be used when valuing a nonpublic
    business or division); 
    id. at 302
    (noting that market value of equity is the traditional
    measure of size, although not the only possible measure); 
    id. at 1204-05.
    161
    PTO ¶ 175.
    162
    
    Id. ¶¶ 120,
    175.
    163
    Beaulne Rebuttal at 10-11.
    38
    April 1 must be used in selecting the size premium because it was the last
    unaffected trading date before the Transaction, and therefore properly excluded the
    effect of the Transaction. Nonetheless, I agree with Beaulne that the reduced
    financial projections were part of DFC’s value as of that date but had not yet been
    realized in the market.       As discussed above, my chosen methodology for
    calculating DFC’s size premium does not use intrinsic value but rather uses market
    capitalization. Therefore, although I do not need to estimate DFC’s intrinsic value
    for this calculation, the impending earnings announcement undoubtedly would
    have affected DFC’s market capitalization, which is the relevant metric for
    selecting the size premium. It is impossible to know exactly how much the market
    would have reacted to the reduction in projected earnings, because the stock price
    that day also was affected by the announcement of the Transaction. But common
    sense suggests, and Dages concedes, that the market would have reacted negatively
    because the earnings reduction was meaningful. 164
    If DFC had been resting comfortably within one of the deciles, perhaps no
    adjustment would be warranted. But in this case, DFC rested on a knife’s edge
    between the 9th and 10th deciles. A decline of less than $7 million (about 2%) in
    market capitalization would have caused the company to drop into the 10th
    164
    Tr. 344-46 (Dages).
    39
    decile.165 It is very likely in my view that, all else equal, the announced drop in
    projected earnings would have caused such a decline in DFC’s unaffected stock
    price. As such, the most reasonable inference is that DFC’s market capitalization
    would have fallen into the 10th decile despite having been in the 9th the previous
    day.
    The 10th decile is broken into subdeciles because the complete decile
    reaches from market capitalizations as large as $338.8 million to as small as $2.4
    million. The size premium varies widely depending on the subdecile, ranging from
    3.52% to 12.12%. 166 The 10w subdecile contains market capitalizations from
    $250.7 million to $338.8 million and carries a 3.52% size premium. 167 DFC’s
    market capitalization was $346 million on April 1. In my view, it is reasonable to
    assume that the market’s reaction to the earnings reduction alone, excluding its
    reaction to the Transaction, would have pushed DFC into the 10w subdecile.168 In
    light of the market’s probable reaction to DFC’s earnings guidance, the 10w
    subdecile is the most reasonable category in my view, and I adopt its size premium
    of 3.52%.
    165
    Beaulne Rebuttal at 10-11.
    166
    Valuation Handbook Appendix 3.
    167
    
    Id. 168 A
    loss in market capitalization anywhere from about $7 million to $95 million would
    have had this result.
    40
    As noted above, Beaulne also employed a second size premium metric of
    4.60% based on the Duff & Phelps Risk Premium Report. This methodology
    constructs a size premium based on a number of relevant company metrics
    including average net income, assets, sales, number of employees, and others.169
    Beaulne opines that it is helpful to use this measurement in addition to the
    Valuation Handbook because it captures other meaningful aspects of company size
    besides market capitalization,170 which is not always perfectly correlated with
    company size. 171
    Dages opines that Beaulne erred by using the Risk Premium Report because
    the size premium in that report does not apply to financial services firms.172
    Indeed, Duff & Phelps admonishes practitioners not to use the Risk Premium
    Report for valuing financial services companies, because some of the inputs into
    the Risk Premium Report are difficult to apply to that sector, potentially leading to
    skewed results.173        Specifically, the methodology should not be applied to
    companies with a Standard Industrial Classification (“SIC”) code beginning with a
    169
    Beaulne Report at 59.
    170
    
    Id. 171 Beaulne
    Rebuttal at 9.
    172
    Dages Rebuttal ¶ 24.
    173
    Valuation Handbook 7-4.
    41
    “6,” which includes finance, insurance, and real estate firms. 174 DFC’s SIC Code
    begins with a “6.” 175
    Beaulne argues that it was appropriate to use the Risk Premium Report
    despite these warnings because DFC is different from most other financial services
    companies with SIC Codes beginning with a 6. For instance, DFC has lower
    leverage than other financial services companies, and most of DFC’s peers do not
    have SIC Codes beginning with 6.176 DFC may differ from the “typical” financial
    services firm, if there is such a thing, so perhaps using the Risk Premium Report
    would not cause a dire outcome. Nonetheless, the modest benefit of adding a
    second size premium metric is not warranted in my view given the methodology’s
    clear parameters and warnings. Consequently, I decline to use a second size
    premium metric, and will use the premium of 3.52% derived from the 10w
    subdecile of the Valuation Handbook.
    4. Tax Rate
    Beaulne and Dages used different tax rates in their WACC calculations.177
    Dages used a tax rate of 32%, the rate that DFC management provided Houlihan to
    174
    
    Id. 175 Tr.
    622 (Beaulne).
    176
    Tr. 622-26 (Beaulne).
    177
    For clarity, this section addresses the tax rate used in the calculation of DFC’s WACC
    and in the calculation of its relevered beta. The tax rates used in the cash flow
    42
    calculate the WACC in its fairness opinion.178 Rather than use management’s
    assumptions, Beaulne calculated a rate based on the weighted average of tax rates
    in the jurisdictions in which DFC was borrowing as of the closing date,179
    excluding certain convertible notes that contained an equity component. 180 The
    experts disagree over how DFC deducts taxes from jurisdiction to jurisdiction.181
    Respondent points out that DFC may only deduct interest in the jurisdictions
    in which the debt is issued, but does not address petitioners’ other point, which
    seems to be that weighting the tax rate on the principal of the debt alone, without
    regard for the amount of interest paid on that debt, may result in an inaccurate
    weighted tax rate.182 This is because the weighted average outstanding debt in
    each jurisdiction may not correspond to the weighted average amount of interest
    paid, since a small outstanding debt with a high interest rate could generate a
    relatively higher tax shield than a larger outstanding debt with a low interest rate.
    projections, which the parties do not dispute, are management estimates that vary with
    each year of the forecast period. See Appendix A; JX 455 at 24.
    178
    Dages Report ¶ 73. See also Tr. 217 (Dages) (discussing 32% tax rate as agreed tax
    rate given to Houlihan for calculating cost of capital).
    179
    Beaulne Report at 54.
    180
    Tr. 589-91 (Beaulne).
    181
    Tr. 267-68 (Dages).
    182
    Pet’rs’ Post-Trial Br. at 45.
    43
    These disputes over the minute details of calculating a custom estimated tax
    rate underscore the merits of Dages’ approach, which relies on management’s
    seemingly reasonable estimated tax rate, just as the experts’ discounted cash flow
    models rely on management’s other estimated financial projections. Considering
    the disagreement surrounding the appropriate actual tax rate based on DFC’s debts
    as of April 1, 2014, not to mention the uncertainty regarding the tax rates in the
    jurisdictions of the company’s future obligations, management’s estimate of a 32%
    effective tax rate is the most reliable figure to use for this input.
    *****
    Using the inputs described above, I calculate DFC’s weighted average cost
    of capital to be 10.72%, 183 a result coincidentally located roughly in the middle of
    Dages’ and Beaulne’s respective calculations of 9.5% and 12.4%, each of which
    the other expert argues is an extreme figure. I now turn to the other disputed
    figures in the experts’ discounted cash flow models.
    5. Net Working Capital and Excess Cash
    Another factor about which the experts disagree is the appropriate level of
    net working capital. Dages used the balance sheet projection that management
    provided and that Houlihan used in its fairness opinion, as he did with the other
    183
    The details of the WACC calculation are contained in Appendix B. See also Dages
    Report ¶¶ 70, 74 (listing formulas for WACC).
    44
    financial projections.184 In contrast, Beaulne estimated the net working capital at
    the end of each year as a percentage of total revenue, which came to 52 percent,
    and projected the company’s net working capital based on that figure.185
    As a general matter, petitioners and respondent both used the March
    Projections as the foundation for their discounted cash flow analyses, and do not
    appear to dispute that the March Projections are the appropriate figures to use.186
    Consequently, the decision to independently calculate one balance sheet item, net
    working capital, rather than to use management’s projections, seems unusual.
    Beaulne explains that his measurement method is the most common one based on
    authoritative finance literature.187 Beaulne’s decision to recalibrate net working
    capital based on historical trends is not warranted here, however, considering that
    the March Projections have been the focal point of the discounted cash flow
    analyses.      Put differently, there is no compelling reason to reject the March
    Projections regarding this figure while adhering to them regarding others.
    Using his adjusted working capital projections, Beaulne surmised that DFC
    had a working capital deficit when the Transaction closed and therefore had no
    184
    Dages Rebuttal ¶ 44.
    185
    
    Id. ¶¶ 43-44;
    Beaulne Report at 49-52; Tr. 584-85, 682 (Beaulne).
    186
    Beaulne Report at 40; Dages Report ¶ 59.
    187
    Beaulne Report at 50; Resp’t’s Pretrial Br. at 56-57.
    45
    excess cash on its balance sheet.188 Because I reject Beaulne’s recalibration of
    working capital, I also reject his assessment that DFC had no excess cash on that
    basis.
    Dages used a different approach to calculate excess cash. He began with
    DFC’s balance sheet cash as of its March 31, 2014 10-Q, which amounted to
    $236.9 million. 189 He then subtracted $150 million of operating cash requirements
    as estimated by Houlihan, with a resulting excess cash level of $86.9 million.190
    Respondent criticizes Dages for using the actual March 31, 2014 cash balance to
    estimate excess cash upon closing of the Transaction in June. Respondent argues
    that using either the June 2014 cash balance as forecasted in the March Projections
    or DFC’s actual June 2014 cash balance would have been timelier and more
    appropriate. 191 Dages responds that he used the March 31 actual cash balance to be
    consistent with Houlihan but admitted that the June figures also could have been
    used.192
    188
    Beaulne Report at 63-64.
    189
    JX 498 at 3.
    190
    Dages Report ¶ 92.
    191
    Resp’t’s Pretrial Br. at 57.
    192
    JX 602 at 229-30.
    46
    In my view, the June 2014 cash balance estimated in the March Projections
    should have been used instead of the actual March figure, because it estimates
    DFC’s cash at a point closer to the closing of the Transaction and because it is
    more consistent with the model’s reliance on the March Projections. 193 Using the
    projected June 2014 cash balance rather than the actual March balance reduces the
    level of excess cash from $86.9 million to $51.5 million. Although respondent
    contends that Houlihan’s estimate of required operating cash was likely
    understated and points to deposition testimony suggesting as much, respondent
    provides no evidence quantifying a better number. I therefore adopt Houlihan’s
    operating cash requirements and the excess cash level of $51.5 million.
    6. Two-Stage or Three-Stage Model
    The experts took different approaches to valuing the future cash flows of the
    company beyond management’s projection period.           Beaulne used a two-stage
    model, with the first stage based on management’s projections for the period of
    2014-2017, and the second stage being a terminal value calculated using the
    convergence formula beginning in 2018. Dages used a three-stage model. Stage
    one was based on management’s projections for 2014-2018.             Stage two used
    Dages’ own projections for 2019 through 2023, which he calculated by applying a
    193
    Resp’t’s Post-Trial Br. 55; JX 444 at 2 (noting operating cash projection of $201.5
    million). See also Tr. 367 (Dages) (admitting that, absent changes to business, using
    more recent figure is preferable).
    47
    linear decline to step the growth rate down (1.8% per year) from management’s
    projection of 11.7% in 2018 to the perpetuity growth rate of 2.7% in 2023.194 His
    third stage is a terminal value calculated using the Gordon growth model and a
    2.7% perpetuity growth rate. Dages also proposed in the alternative a two-stage
    model with a 3.1% perpetuity growth rate.195
    Beaulne criticizes Dages’ three-stage model for adding five years of new
    data beyond management’s projections using linear extrapolation. He opines that
    this ten-year period is an unusually long forecast window, that management’s
    projections were already prone to uncertainty, and that Dages’ five-year
    extrapolation of these projections is speculative.196 Dages contends that his three-
    stage model is the best valuation method, but does not otherwise dispute Beaulne’s
    use of a two-stage model and the convergence formula, which Dages opines
    implies a perpetuity growth rate of 4.5%.197
    Given the uncertainty regarding management’s projections, I question the
    reliability of Dages’ linear extrapolation of five years of additional projections. I
    agree with Beaulne’s opinion that it is more appropriate to rely on management’s
    194
    Dages Report ¶¶ 91-92.
    195
    Dages Report Ex. 16.
    196
    Beaulne Rebuttal at 16-18.
    197
    Dages Rebuttal ¶¶ 46-47, 53-54; Pet’rs’ Post-Trial Br. 50.
    48
    projection period and then to estimate a terminal value as accurately as possible.
    The fact that the growth rate drops off somewhat sharply from the projection
    period to the terminal period is not ideal but not necessarily problematic, as this
    Court has recognized. 198 Thus, in this case a two-stage model is preferable to a
    three-stage model that attempts to create a third stage by extrapolating new data
    from already imperfect projections.
    I turn next to the question of how to select an appropriate perpetuity growth
    rate. Dages used a perpetuity growth rate of 3.1% in his alternate two-stage
    version of his model, which appears in line with market theory and this Court’s
    precedents. This Court often selects a perpetuity growth rate based on a reasonable
    premium to inflation.199 Dages compiled inflation expectations around the time of
    the closing of the Transaction from a number of sources, including government
    forecasts, and noted a median inflation rate of 2.31%. 200 Dages also notes that
    some financial economists view the risk-free rate as the ceiling for a stable, long-
    term growth rate.201 In this case, that suggested ceiling is the 3.14% risk-free rate
    198
    See Owen v. Cannon, 
    2015 WL 3819204
    , at *26 (Del. Ch. June 17, 2015); S. Muoio &
    Co. LLC v. Hallmark Entm’t Invs. Co., 
    2011 WL 863007
    , at *21 (Del. Ch. Mar. 9, 2011).
    199
    See Owen v. Cannon, 
    2015 WL 3819204
    , at *26 (“There also is considerable
    precedent in Delaware for adopting a terminal growth rate that is a premium, such as 100
    basis points, over inflation.”).
    200
    Dages Report ¶ 65.
    201
    
    Id. 49 both
    experts agreed on.202 Thus, the 3.1% rate that Dages used in his alternative
    two-stage model 203          represents a reasonable premium of 79 basis points over
    inflation, and falls just under the suggested ceiling represented by the 3.14% risk-
    free rate.
    In contrast, Beaulne calculated his stage-two terminal value using the
    convergence model. The convergence formula is based on the theory that, in the
    long-term, the return on investment in highly competitive industries will converge
    to the cost of capital as competition eliminates the opportunity to earn excess
    returns.204 As noted above, Dages opined that Beaulne’s convergence formula
    implies a 4.5% perpetuity growth rate, which Dages admits is at the high end of the
    reasonable range of long-term growth rates.205               In my view, 4.5% is an
    inappropriately high perpetuity growth rate in this case. Although one suggested
    ceiling for a company’s perpetuity growth rate is nominal GDP, which Dages
    estimated as ranging from 4.5% to 4.8%, 206 economists have cautioned (as noted
    above) that the long-term growth rate should not be greater than the risk-free rate.
    202
    
    See supra
    Part II.C.
    203
    Dages Report ¶ 96, Ex. 16.
    204
    See Hitchner, supra note 121, at 152-53; Tr. 627-28 (Beaulne).
    205
    Dages Rebuttal ¶¶ 46-47.
    206
    Dages Report ¶ 64-65.
    50
    The 4.5% perpetuity growth rate implied by Beaulne’s convergence model is 136
    basis points above that ceiling and represents an unusually large premium of 219
    basis points above inflation.207 Considering the significant regulatory risks that
    may affect the long-term viability of DFC’s business model, such a premium over
    inflation is not appropriate in my view. 208
    Because the perpetuity growth rate is not an input in the convergence
    formula, I cannot simply pick a more reasonable rate to use in that model. In
    contrast, the Gordon growth model’s inputs are the terminal year’s cash flow, the
    perpetuity growth rate, and the cost of capital. 209 The Gordon growth model is
    207
    See, e.g., Owen v. Cannon, 
    2015 WL 3819204
    , at *25-26 (adopting premium of 100
    basis points above inflation); Towerview LLC v. Cox Radio, Inc., 
    2013 WL 3316186
    , at
    *26-27 (Del. Ch. June 28, 2013) (using growth rate 25 basis points above the low end of
    inflation forecast); Del. Open MRI Radiology Assocs., P.A. v. Kessler, 
    898 A.2d 290
    ,
    334, 337 (Del. Ch. 2006) (applying growth rate 100 basis points above inflation); Gholl v.
    eMachines, Inc., 
    2004 WL 2847865
    , at *13 (Del. Ch. Nov. 24, 2004) (applying
    perpetuity growth rate 100-200 basis points above inflation), aff’d, 
    875 A.2d 632
    (Del.
    2005) (TABLE); Cede & Co. v. JRC Acquisition Corp., 
    2004 WL 286963
    , at *6 (Del. Ch.
    Feb. 10, 2004) (applying growth rate 100 basis points above inflation). See also In re
    Rural/Metro Corp. S’holders Litig., 
    102 A.3d 205
    , 226 (Del. Ch. 2014) (choosing
    perpetuity growth rate falling “comfortably between” inflation rate and nominal GDP
    growth rate, at 160 basis point premium to inflation), aff’d sub nom. RBC Capital
    Markets, LLC v. Jervis, 
    129 A.3d 816
    , 868 (Del. 2015).
    208
    See JRC Acquisition Corp., 
    2004 WL 286963
    , at *6 (adopting growth rate only 100
    basis points above inflation due to evidence of declining tobacco market).
    209
    See Cost of Capital at 41.
    51
    commonly used in this Court. 210 Because it is widely accepted and allows me to
    select an appropriate perpetuity growth rate, I use a two-stage Gordon growth
    model and a perpetuity growth rate of 3.1% to calculate DFC’s value.
    7. Stock-Based Compensation
    The experts agree that some adjustment to DFC’s free cash flows must be
    made to account for stock-based compensation in the form of options and restricted
    stock units, but they disagree over how to make such an adjustment. Dages
    presents four different scenarios, each of which he acknowledges is an “imperfect
    measure” of the impact the future exercise of stock-based compensation will have
    on DFC’s free cash flows. 211 The scenario he considers most reliable, which he
    uses in his discounted cash flow, replaces management’s projected stock-based
    compensation expenses with the average historical net cash outflow for such
    compensation, as a percentage of revenues, further adjusted to reflect tax
    benefits. 212 Beaulne uses the stock-based compensation expenses projected in the
    210
    See, e.g., Merion Capital, L.P. v. 3M Cogent, Inc., 
    2013 WL 3793896
    , at *23 (Del.
    Ch. July 8, 2013); Golden 
    Telecom, 993 A.2d at 511
    ; Crescent/Mach I P’ship, L.P. v.
    Turner, 
    2007 WL 2801387
    , at *14 (Del. Ch. May 2, 2007).
    211
    Dages Report ¶¶ 89-90.
    212
    
    Id. ¶ 89.
    52
    management model, deducting that amount from free cash flows, which he asserts
    is a common practice. 213
    In previous cases, this Court has opined that some adjustment must be made
    for stock-based compensation but lamented the unavailability of an accurate
    method for making such an adjustment. In both BMC and Ancestry.com, this Court
    noted that deducting the full amount of accounting expense for stock-based
    compensation from cash flows likely overstated the impact on cash earnings, but
    nonetheless adopted that method because the opposing expert in each case had not
    provided a better method for estimating cash impact. 214
    In contrast to those cases, Dages offers a reasonable means of estimating the
    impact of future stock-based compensation on cash flows by extrapolating
    historical cash expense into future years. Although Beaulne opines that stock-
    based compensation expense is already calculated using fair value measures,215 he
    overlooks the distinction between a fair value accounting expense and an impact
    213
    Beaulne Report at 48.
    214
    See Merion Capital LP v. BMC Software, Inc., 
    2015 WL 6164771
    , at *10, *13 (Del.
    Ch. Oct. 21, 2015) (adopting use of full accounting expense as cash impact because other
    expert’s method did not incorporate effect of expected future stock-based compensation),
    judgment entered, 
    2015 WL 6737350
    (Del. Ch. Nov. 3, 2015); In re Appraisal of
    Ancestry.com, 
    2015 WL 399726
    , at *22 (adopting method deducting non-cash stock
    expense from EBIT because, while method was imperfect, opposing expert offered no
    reliable alternative).
    215
    Beaulne Rebuttal at 26.
    53
    on cash flows. Consequently, subtracting the accounting expense for all stock-
    based compensation from projected cash earnings, a crucial input in a discounted
    cash flow model, was inappropriate. Although it may not be possible to perfectly
    estimate the future cash impact of stock-based compensation, in this case Dages’
    estimate based on historical cash expense is the most reasonable approach.
    Respondent criticizes the fact that Dages’ method is novel and that it risks
    understating cash expense if, for example, the company’s stock price were to rise
    significantly after options were granted. 216 But the risk of inaccuracy is inherent in
    any attempt to project future expenses. In my view, the hypothetical risk that
    Dages’ method could lead to an understated cash expense is less problematic than
    the much likelier possibility that treating the full accounting expense as a cash
    outlay would overstate cash expense. I therefore adopt Dages’ method.217
    *****
    Using the inputs and methodologies described above, I have constructed a
    discounted cash flow model that estimates the fair value of DFC’s shares as of the
    216
    Resp’t’s Post-Trial Br. 56-57.
    217
    I also adopt Dages’ calculation of total shares outstanding, which adds shares for
    exercisable options and restricted stock units, adjusted for the Court’s lower valuation
    compared to his. Based on his tables and the Court’s valuation, approximately 39.5
    million shares would be outstanding.
    54
    date of the Transaction to be $13.07 per share. 218 The model is summarized in
    Appendix A.
    D.     Multiples-Based Comparable Company Analysis
    Dages did not rely on a multiples-based valuation, instead placing all weight
    on his discounted cash flow valuation. 219         He opined that multiples-based
    valuations do not necessarily reflect the intrinsic value of an enterprise, do not
    allow the inclusion of company-specific operating characteristics, and do not fully
    account for long-term growth potential.220 With admirable thoroughness, Dages
    performed a multiples-based valuation despite giving it no weight in his analysis.
    He used the same peer group of nine companies that he used to estimate DFC’s
    beta for his WACC. 221
    Beaulne performed a multiples-based valuation using the same peer group of
    six companies that he used to calculate beta. For the same reasons discussed above
    that I found Beaulne’s peer group acceptable for calculating beta and the additional
    three companies Dages identified to be inapt comparisons, I find that the peer
    218
    See Appendix A.
    219
    Dages Report ¶ 100.
    220
    
    Id. ¶¶ 100-102.
    221
    
    Id. ¶ 103.
    Using the 75th percentile of the peer group, Dages estimated a valuation
    between $11.38 and $15.65 per share based on the 2014 and 2015 estimated EBITDA
    from the March projections, and $26.95 per share based on the last twelve months’
    EBITDA. 
    Id. ¶¶ 103-04.
    55
    group Beaune has identified provides an appropriate set of comparable
    companies.222
    To perform his valuation, Beaulne used the median of three multiples:
    market value of invested capital over 2014 estimated EBITDA, market value of
    invested capital over estimated 2015 EBITDA, and market value of invested
    capital over last twelve months’ EBITDA. 223 Averaging the valuations implied by
    these three metrics, Beaulne calculated a value of $8.07 per share. 224
    Dages contends that Beaulne erroneously chose to use the median peer
    group value of each multiple rather than the 75th percentile, which Dages viewed
    as more appropriate considering DFC’s long-term projected growth and
    profitability. 225 But DFC ranked below the 50th percentile of the peer group in
    several (though not all) key financial metrics. 226 Dages admitted, furthermore, that
    222
    
    See supra
    Part II.C.1.b.
    223
    Beaulne Report at 67.
    224
    
    Id. at 69.
    Beaulne also performed a multiples-based valuation using guideline merged
    and acquired companies, with a resulting valuation of $7.69 per share, but did not give
    this method any weight. 
    Id. at 69-70.
    225
    Dages Rebuttal ¶ 51.
    226
    Dages Report Ex. 5.
    56
    using the median or 50th percentile is a more common benchmark, and that this
    was the only valuation he could recall in which he used the 75th percentile.227
    In my view, Beaulne used a reasonable methodology in his multiples-based
    analysis by selecting a suitable peer group, using correct multiples, and basing his
    analysis on the median rather than another percentile. For these reasons, I will
    adopt Beaulne’s comparable company methodology and its valuation of $8.07 per
    share. 228 This leaves the question of how much weight to give it in relation to the
    other valuation methodologies. I address that question below.
    E.     Deal Price
    The third and final valuation input I will consider is the price of the
    Transaction: $9.50 per share. The parties heatedly dispute whether the transaction
    price is an appropriate indicator of fair value in this case. The merger price in an
    arm’s-length transaction that was subjected to a robust market check is a strong
    227
    Tr. 379-80 (Dages).
    228
    Dages also criticized certain financial adjustments Beaulne made in the comparable
    company analysis, namely the subtraction of stock-based compensation expenses. Dages
    Rebuttal ¶ 50. Unlike in the case of his discounted cash flow analysis, Dages did not
    opine on whether or why stock-based compensation should or should not be adjusted in
    the comparable company analysis, nor did he provide a superior methodology that would
    adjust for stock-based compensation expense more appropriately. 
    See supra
    Part II.C.7.
    He also noted that he was not certain whether or not his own data source adjusted for
    stock-based compensation in the peer companies. Dages Report ¶ 103 n.213. I therefore
    adopt Beaulne’s approach.
    57
    indication of fair value in an appraisal proceeding as a general matter, 229 and this
    Court has attributed 100% weight to the market price in certain circumstances.230
    The advantage of an arm’s-length transaction price as a reliable indicator of
    fair value is that it is “forged in the crucible of objective market reality (as
    distinguished from the unavoidably subjective thought process of a valuation
    expert) . . . .” 231 This insight is particularly apt here, where the subjective thought
    processes of two well-credentialed valuation veterans have led to chasmic
    differences in their estimated fair values, despite their using similar methodologies
    and the same baseline set of financial projections. By the same token, the market
    229
    See Golden 
    Telecom, 993 A.2d at 507
    (“It is, of course, true that an arms-length
    merger price resulting from an effective market check is entitled to great weight in an
    appraisal.”); Highfields Capital, Ltd. v. AXA Fin., Inc., 
    939 A.2d 34
    , 42 (Del. Ch. 2007)
    (when transaction is product of arm’s-length process without structural impediments, the
    “reviewing court should give substantial evidentiary weight to the merger price as an
    indicator of fair value”); Union Ill. 1995 Inv. Ltd. P’ship v. Union Fin. Gp., Ltd., 
    847 A.2d 340
    , 358-59 (Del. Ch. 2004) (Strine, V.C.) (finding merger price resulting from a
    competitive and fair auction to be a superior valuation technique to discounted cash
    flow).
    230
    See, e.g., LongPath Capital, LLC v. Ramtron Int’l Corp., 
    2015 WL 4540443
    , at *20,
    25 (Del. Ch. June 30, 2015) (citing authorities and giving 100% weight to transaction
    price, minus synergies); CKx, 
    2013 WL 5878807
    , at *13 (giving 100% weight to deal
    price and instructing parties to confer regarding adjustments for synergies); Huff Fund
    Inv. P’ship v. CKx, Inc., 
    2014 WL 2042797
    , at *4, *8 (Del. Ch. May 19, 2014) (declining
    in subsequent opinion to make any adjustments to deal price, including for synergies),
    aff’d, 
    2015 WL 631586
    (Del. Feb. 12, 2015) (TABLE); Union 
    Ill., 847 A.2d at 364
    (awarding merger price, net of synergies). In this case, I am unconcerned with adjusting
    for synergies because Lone Star was a financial buyer rather than a strategic acquirer.
    231
    Van de Walle v. Unimation, Inc., 
    1991 WL 29303
    , at *17 (Del. Ch. Mar. 7, 1991).
    58
    price is informative of fair value only when it is the product of not only a fair sale
    process, but also of a well-functioning market.
    In my view, the deal price is an appropriate factor to consider in this case.
    DFC was purchased by a third-party buyer in an arm’s-length sale. The sale
    process leading to the Transaction lasted approximately two years and involved
    DFC’s advisor reaching out to dozens of financial sponsors as well as several
    potential strategic buyers. 232 The deal did not involve the potential conflicts of
    interest inherent in a management buyout or negotiations to retain existing
    management—indeed, Lone Star took the opposite approach, replacing most key
    executives. 233 These circumstances provide me a reasonable level of confidence
    that the deal price can fairly be used as one measure of DFC’s value.
    *****
    Having established and analyzed the three most reliable measures of DFC’s
    value, I now turn to weighing them in order to formulate a fair appraisal value.
    F.     Weighing the Inputs to Estimate Fair Value
    This Court has relied from time to time on multiple valuation techniques to
    determine fair value, giving greater weight to the more reliable methodologies in a
    232
    
    See supra
    Part I.C.
    233
    Tr. 553-54 (Barner).
    59
    particular case.234         As explained above, three inputs merit consideration in
    calculating DFC’s fair value: the result of my discounted cash flow analysis,
    which incorporates certain aspects of each expert’s discounted cash flow model
    and some of my own assumptions; Beaulne’s multiples-based comparable
    company analysis; and the transaction price.
    Each of these valuation methods suffers from different limitations that arise
    out of the same source: the tumultuous environment in the time period leading up
    to DFC’s sale. As described above, at the time of its sale, DFC was navigating
    turbulent regulatory waters that imposed considerable uncertainty on the
    company’s future profitability, and even its viability. 235 Some of its competitors
    faced similar challenges. The potential outcome could have been dire, leaving
    DFC unable to operate its fundamental businesses, or could have been very
    positive, leaving DFC’s competitors crippled and allowing DFC to gain market
    dominance. Importantly, DFC was unable to chart its own course; its fate rested
    234
    See, e.g., Andaloro v. PFPC Worldwide, Inc., 
    2005 WL 2045640
    , at *20 (Del. Ch.
    Aug. 19, 2005) (attributing 75% weight to discounted cash flow because management
    projections were reliable, and 25% weight to comparable company analysis because of
    good peer group and benefit of additional insight provided by the approach); Hanover
    Direct, Inc. S’holders Litig., 
    2010 WL 3959399
    , at *2-3 (Del. Ch. Sept. 24, 2010)
    (adopting valuation of expert who applied multiple valuation techniques, noting that
    Court has more confidence in the accuracy of multiple valuation methods when the
    results support each other, and criticizing other expert’s use of only one technique rather
    than a blend of valuation methods).
    235
    
    See supra
    Part I.B.
    60
    largely in the hands of the multiple regulatory bodies that governed it. Even by the
    time the transaction closed in June 2014, DFC’s regulatory circumstances were
    still fluid.236
    This uncertainty impacted DFC’s financial projections. As discussed above,
    DFC repeatedly adjusted its projections downward, cutting its fiscal year 2014
    adjusted EBITDA forecast from $200-240 million to $151-156 million in the span
    of a few months, while noting that regulatory uncertainty made it impractical to
    project earnings per share. 237 This series of adjustments calls into question the
    reliability of DFC’s financial projections at the time, and necessarily reduces one’s
    confidence in the March Projections upon which the experts’ discounted cash flow
    models and my own are based. 238 Consequently, although a discounted cash flow
    analysis may deserve significant emphasis or sole reliance in cases where the Court
    has more confidence in the reliability of the underlying projections than in the
    236
    Tr. 439 (Kaminski).
    237
    
    See supra
    Parts I.B-C.
    238
    See Tr. 502-03 (Barner) (discussing Lone Star’s concern over management’s ability to
    forecast accurately). Although Lone Star prepared its own set of projections with higher
    revenue and EBITDA than the March Projections, PTO ¶¶ 184-85, those projections
    reflect Lone Star’s planned initiatives for the company after the acquisition, and thus do
    not represent its fair value for appraisal purposes. Tr. 496-97 (Barner). In addition, the
    fact that the financials show a potential recovery does not mitigate the problem with the
    March Projections, namely that they were unreliable and subject to change. A forecasted
    significant recovery could still be unreliable, undermining confidence in the discounted
    cash flow model.
    61
    transaction price, 239 I do not believe it merits a disproportionate weighting in this
    case.
    This same uncertainty inherent in the projections underlying the discounted
    cash flow analysis was present in the sale process. Although the sale process
    extended over a significant period of time and appeared to be robust, DFC’s
    performance also appeared to be in a trough, with future performance depending
    on the outcome of regulatory decision-making that was largely out of the
    company’s control.       Lone Star was aware of DFC’s trough performance and
    uncertain outlook—these attributes were at the core of Lone Star’s investment
    thesis to obtain assets with potential upside at a favorable price. 240 To the extent
    Lone Star understood DFC’s unique position and potential value but the market of
    other potential bidders did not, then the transaction price would not necessarily be
    a reliable indicator of DFC’s intrinsic value. 241 Lone Star’s status as a financial
    239
    See In re Appraisal of Dell, 
    2016 WL 3186538
    , at *51 (attributing 100% weight to
    discounted cash flow model due to unreliability of market pricing stemming from
    imperfect sale process).
    240
    See Tr. 533-37 (Barner); JX 428 at 16 (noting that Lone Star saw DFC as an
    opportunity to acquire an excellent global platform at a trough and to purchase it during a
    period of regulatory uncertainty before a recovery to historical EBITDA margins).
    241
    This commentary should not be construed as an opinion on the propriety of Lone
    Star’s investment strategy or bidding process, as Lone Star’s conduct is not on trial in this
    appraisal action. Rather, the circumstances through which Lone Star purchased DFC are
    relevant to assessing whether the transaction was the product of a robust competitive
    bidding process with potential buyers who understood DFC’s intrinsic value.
    62
    sponsor, moreover, focused its attention on achieving a certain internal rate of
    return and on reaching a deal within its financing constraints, rather than on DFC’s
    fair value. 242 For instance, one of the reasons Lone Star reduced its offer to $9.50
    was that its available financing for the transaction had fallen by another $100
    million (to a total reduction of $300 million) due to DFC’s additional reductions in
    projected EBITDA. 243
    The 45-day exclusivity period Lone Star negotiated in March 2014 and the
    short (six-day) window Lone Star afforded for considering its reduced offer of
    $9.50 may have negatively affected the sale process.244 These events do not
    undermine my level of confidence in the robustness of the market for DFC,
    however, because they occurred at the end of what had been an extended (almost
    two-year) sale process and because any of the potential buyers who had expressed
    interest in buying DFC at a higher price could have renewed their interest after the
    transaction was announced in April, particularly given that the termination fee was
    reasonable and bifurcated to allow for a reduced fee in the event of a superior
    proposal.245 Despite the fact that $9.50 was significantly lower than J.C. Flowers’
    242
    Dages Report ¶¶ 114-16.
    243
    PTO ¶ 148; Tr. 552 (Barner).
    244
    PTO ¶¶ 147, 151-54. Lone Star originally offered only 24 hours to accept, but later
    extended the acceptance period so that it ran from March 27 to April 1. 
    Id. ¶ 149.
    245
    JX 463 Ex 2.1 §§ 7.1(d)(iii), 7.3(b); Tr. 63 (Gavin).
    63
    previous indication of interest at $13.50, neither J.C. Flowers nor any other
    potential buyer expressed any interest in competing with Lone Star’s offer of
    $9.50.
    The uncertainty surrounding DFC’s financial projections also affects the
    reliability of the multiples-based valuation, because this valuation relies on two
    years of management’s projected EBITDA. 246 Nonetheless, the multiples-based
    valuation may be less prone to long-term uncertainty compared to the discounted
    cash flow model, because it relies only on projections through 2015 rather than
    2018, and because one third of the valuation relies on historical EBITDA data. In
    addition, because it relies on the multiples of several peer companies, it is less
    susceptible to the firm-specific issues that could hinder a competitive bidding
    environment and reduce the reliability of market price as an indicator of fair value.
    Consequently, although the multiples-based approach may be less frequently relied
    upon than market price or a discounted cash flow valuation, I find it to be a
    valuable source of information in this case.
    In sum, all three metrics suffer from various limitations but, in my view,
    each of them still provides meaningful insight into DFC’s value, and all three of
    them fall within a reasonable range.       In light of the uncertainties and other
    considerations described above, I conclude that the proper valuation of DFC is to
    246
    
    See supra
    Part II.D.
    64
    weight each of these three metrics equally.        Weighing at one-third each the
    discounted cash flow valuation of $13.07 per share, the multiples-based valuation
    of $8.07 per share, and the transaction price of $9.50 per share, I conclude that the
    fair value of DFC at the time of the Transaction was $10.21 per share.
    III.     CONCLUSION
    Petitioners are entitled to the fair value on the closing date of $10.21 per
    share and to interest accruing from June 13, 2014, at the rate of 5% over the
    Federal Reserve discount rate from time to time, compounded quarterly. 247 The
    parties are instructed to confer and submit a final judgment within five business
    days in accordance with this opinion.
    247
    
    8 Del. C
    . § 262(h).
    65
    Appendix A
    Discounted Cash Flow Analysis
    (in millions)
    Fiscal Year Ending June 30
    2014P       2015P         2016P        2017P          2018P           Terminal
    EBITDA1                                                            $143.3       $165.4        $214.9        $269.5        $329.4
    Less: Depreciation and Amortization                                 (44.8)        (45.1)        (46.4)        (46.6)        (46.6)
    Plus: Adjustment for SBC Accounting/Cash Difference2                                5.6           6.4           6.8           7.0
    EBIT                                                     $98.5       $125.9        $174.9        $229.7        $289.8
    Tax Rate                                                              42.3%         35.9%         32.1%         30.7%
    Less: Income Tax                                                                  (53.3)        (62.8)        (73.7)        (89.0)
    Unlevered Net Income                                                  $72.7        $112.1        $156.0        $200.8
    Plus: Depreciation & Amortization                                                 45.1           46.4         46.6          46.6
    Less: Capital Expenditures                                                       (35.8)         (42.6)       (44.1)        (45.7)
    Less: Changes in Working Capital3                                                (48.8)         (54.5)       (69.8)        (71.6)
    Unlevered Free Cash Flow 4                                 $2.1        $33.2          $61.4        $88.7        $130.1         $ 1,761
    Present Value of Distributable Cash Flows
    WACC                                                     10.72%      10.72%         10.72%        10.72%        10.72%          10.72%
    Discount Period (mid-year convention)                       0.02        0.55           1.55          2.55          3.55             3.55
    Present Value Factor                                        1.00        0.95           0.85          0.77          0.70             0.70
    Present Value of Distributable Cash Flows                            $2.1       $31.4          $52.4         $68.4         $90.7         $1,226.6
    Enterprise Value
    PV of Distributable Cash Flows (2014-2018)     $244.9                             Discount Rate                 10.72%
    PV of Residual Cash Flows                    $1,226.6                             Perpetuity Growth Rate         3.10%
    Cash and Equivalents                            $51.5                             Valuation Date              13-Jun-14
    Enterprise Value                             $1,523.0
    Add: PV of Net Operating Loss Balance5          $38.1
    Less: Debt                                   $1,044.4
    Equity Value                                  $516.74
    Shares Outstanding6                              39.53
    Value Per Share                                $13.07
    1
    Based on Beaulne's adjusted EBITDA, which includes full accounting SBC expense. Financial projections use Beaulne's model.
    2
    Adds back difference between full accounting SBC expense and Dages' estimated SBC cash expense.
    3
    Uses Beaulne's model but removes his adjustments to working capital based on 52.0% fixed rate assumption.
    4
    2014 unlevered cash flow based on Dages' calculation of prorated cash flow from June 13 until June 30.
    5
    Based on Beaulne's NOL model, adjusted for 10.72% discount rate.
    6
    Approximates adjusted shares outstanding using Dages' model and a $13 exercise price.
    Appendix B
    WACC Calculation
    5Y Smoothed      Total Debt Market Val of Equity/Capital Debt/Capital Effective Tax         Hamada
    Peer Group Company                      Bloomberg Beta         ($000's) Equity ($000's)       Ratio        Ratio          Rate   Unlevered Beta
    Cash America International, Inc.                 0.9765       630,256       1,224,887       66.03%       33.97%        35.00%            0.7317
    Cash Converters International Limited            0.8909       104,513         431,082       80.49%       19.51%        30.00%            0.7616
    EZCORP, Inc.                                     1.1050       229,121         668,900       74.49%       25.51%        35.00%            0.9038
    First Cash Financial Services Inc.               0.8951       200,000       1,551,881       88.58%       11.42%        35.00%            0.8259
    International Personal Finance Plc               1.8789       664,292       2,435,081       78.57%       21.43%        21.00%            1.5458
    World Acceptance Corp.                           0.9972       505,500         761,218       60.09%       39.91%        38.25%            0.7072
    DFC Global Corp.                                 1.1833                                     26.00%       74.00%        32.00%            0.4031
    Peer Group & DFC Average Unlevered Beta:                     0.8399
    DFC Relevered Beta:                                         2.4653
    Hamada Unlevered Beta = (Levered Beta) / (1 + (1-T)(Wd/We))
    Hamada Relevered Beta = Unlevered Beta * (1+(1-T)(Wd/We))
    Input                                            Value    Notes
    Risk-free Rate (Rf)                              3.14%    20-year Total Constant Maturity Treasury Yield
    Beta (β)                                        2.4653    Avg. of 6 peers and DFC, relevered for DFC
    Equity Risk Premium (ERP)                        6.18%    Duff & Phelps Supply-Side Equity Risk Premium
    Size Premium (SP)                                3.52%    Duff & Phelps Size Premium, Subdecile 10w
    Tax Rate (T)                                    32.00%    Management Assumption
    Debt/Capital (Wd)                               74.00%    Capital structure at close
    Equity/Capital (We)                             26.00%    Capital structure at close
    Cost of Equity (Ke)                             21.90%    Ke = Rf + (β * ERP) + SP
    Cost of Debt (Kd)                               10.00%    2016 Senior Note YTM
    WACC                                            10.72%    WACC = (We * Ke) + (Wd * (Kd * (1 – T)))