Avoiding Distortion in Corporate Valuation Litigation: An Application of Discounted Cash Flow

Several surveys have been administered over the last 40 plus years to learn about capital budgeting practices of healthcare organizations. In this report, we analyze and synthesize these surveys in a four-stage framework of the capital budgeting process: identification, development, selections, and post-audit. We examine three issues in particular: (1) efficiency of for-profit hospitals relative to not-for-profit hospitals, (2) capital budgeting practices of the healthcare industry vis-à-vis other industries, and (3) effects of healthcare mergers and acquisitions on capital budgeting decisions. We found indirect evidence that for-profit hospitals exhibited greater efficiency than not-for-profit hospitals in recent years. The acquisition of not-for-profits by for-profits is credited as the primary reason for growth of multihospital systems; these acquisitions may have contributed to the more efficient capital budgeting practices. One unique attribute of healthcare is the dominant role of physicians in almost all aspects of the capital budgeting process. In agreement with some researchers, we conclude that the disproportionate influence of physicians is likely to impede efficient decision making in capital budgeting, especially for nonprofit organizations.

A large percentage of companies use the discounted cash flow (DCF) approach as the primary technique for investment/project evaluation and the capital budgeting process. This approach requires forecasting the detailed cash flow of the project under evaluation and then discounting the resulting cash flow to the present value (Net Present Value–NPV) using an appropriate discount rate. The discount rate commonly used represents the Weighted Average Cost of Capital (WACC) of the firm. There is no scarcity of literature on this subject as the concept has been around for the last 50 years or so. Although most analysts believe the concept is simple and very well known, the irony is that its misinterpretation and misuse prevails. There are many versions of the WACC equation and each is specific to a certain cash flow. Therefore, using the classic WACC relationship in all cases may result in the calculation of an overly optimistic NPV. Depending on the cash flow pattern, the investment may show a positive NPV at the classic WACC but it will actually be losing equity. This paper highlights (a) pitfalls and misuses of the WACC, (b) interdependence between types of cash flow and WACC, (c) assumptions behind the WACC and whether these assumptions are realistic, and (d) alternative approaches to arrive at the correct net present value (NPV). Company CEOs, management, analysts, and other investors using the WACC for investment decisions need to be fully aware of its pitfalls and misuses. RESUMEN. Un gran porcentaje de empresas usan el enfoque del flujo de caja descontado (DCF–discounted cash flow), como la técnica principal para evaluar las inversiones/proyectos y el proceso de elaboración del presupuesto de capital. Este enfoque exige la proyección detallada del flujo de caja del proyecto bajo análisis y, a continuación, el redescuento del flujo de caja resultante al valor actual-Valor Actual Neto (Net Present Value–NPV) utilizando una tasa de redescuento apropiada. La tasa de descuento comúnmente utilizada representa el Costo de Capital Medio Ponderado (Weighted Average Cost of Capital (WACC) de la empresa. No falta literatura a este respecto, ya que el concepto ha existido ya alrededor de 50 años. Aunque la mayoría de los analistas creen que el mismo es simple y muy conocido, irónicamente, lo que prevalece es su mala interpretación y uso equivocado. Existen muchas versiones sobre la ecuación WACC, y cada una se identifica con un flujo de caja específico. Consecuentemente, el uso de la relación WACC clásica puede resultar, en todos los casos, en un cálculo de NPV exageradamente optimista. Dependiendo del tipo de flujo de caja, la inversión puede mostrar un NPV positivo con un WACC clásico, cuando en realidad estará perdiendo patrimonio. Este documento coloca en destaque (a) escollos y mal uso del WACC, (b) interdependencia entre el tipo de flujo de caja y el WACC, (c) presunciones por detrás del WACC, y si ellas son realistas, y (d) mostrar enfoques alternativos para llegar al valor actual neto correcto (NPV). El CEO de la empresa, su gerencia, analistas y otros inversores usarán el WACC para tomar decisiones inherentes a la inversión. RESUMO. Uma grande porcentagem das empresas usa a abordagem do fluxo de caixa descontado (DCF) como técnica básica de avaliação de investimentos/projetos e do processo de orçamentação de capital. Essa abordagem requer que se preveja o fluxo de caixa detalhado do projeto sob avaliação e, depois, desconte o fluxo de caixa resultante para obter o valor presente líquido (NPV) usando uma taxa de desconto apropriada. A taxa de desconto geralmente usada representa o Custo de Capital Médio Ponderado (WACC–Weighted Average Cost of Capital) da empresa. A literatura sobre este tema é abundante, já que o conceito existe há uns 50 anos. Embora a maioria dos analistas considere o conceito simples e bem conhecido, o fato é que erros de interpretação e utilização predominam. Existem muitas vers$oTes da equação do WACC, cada uma específica a certo fluxo de caixa. Portanto, aplicar a relação WACC clássica a todos os casos pode resultar em cálculos de NPVs otimistas demais. Dependendo do padrão de fluxo de caixa, o investimento pode exibir um NPV positivo no WACC clássico, quando na verdade estará perdendo patrimônio. Este artigo realça (a) as armadilhas e usos equivocados do WACC, (b) as interdependências entre tipo de fluxo de caixa e WACC, (c) pressupostos por trás do WACC e se esses pressupostos são realistas, e (d) mostra abordagens alternativas para se chegar ao valor presente líquido (NPV) correto. Visa os CEOs das empresas, a gerência, os analistas e utros investidores que usam o WACC nas decisões de investimentos.

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A lot of finance textbooks present calculation of WACC (Weighted Average Cost of Capital) as: WACC = Kd - (1 -/- T)- D % Ke - E %, whereas Kd is opportunity cost of debt before taxes, T is tax rate, D % is percentage of debt to total value, Ke is opportunity cost of equity and E % is percentage of equity to total value. Numerous textbooks state that D % and E % are market values, but the correct interpretation of these values is not sufficiently dealt with: which market values, what D/E-ratio? No matter how the financing is done, there is actually only one standard net WACC.WACC changes in time, one needs an up-to-date WACC, yes indeed, but what and how exactly? In short, many questions still remain, but up to the present they do not have unequivocal answers. The purpose of this paper is to clear up these questions and emphasize in some ideas that usually are overlooked. Famous writers, e.g., Pablo Fernandez, Ignacio Velez-Pareja and Joseph Tham, claim: to calculate the firm's value it is necessary to know the WACC-figure, but to calculate WACC, the firm's value (among other data like the financing profile) is needed. Indeed, one needs to know the WACC in order to calculate the firm's value. However, to calculate WACC, several data are truly needed, just not the firm's value. Many misconceptions exist about firm valuation and the valuation of tax shields (VTS) as well as the correct calculation of WACC.Although Franco Modigliani and Merton Miller (MM for short) were awarded the Nobel Prize in Economics, their Propositions I and II appear to be clearly incorrect. Many theories and much advise is flawed by the demasque of MM's Proposition I (1958, equation 3), which states in the absence of taxes, the firm's value is independent of its debt. The so-called proof given by MM is not a mathematical proof. It was and is a statement that cannot stand the test. Proposition I is not true; re SSRN_ID609102. Consequently, everything based on Proposition I is not true either. This paper repudiates Proposition II, constituting Ke being a cost to the firm and similarly a return to the equity investor. Ke and WACC are measuring costs, just costs. Return and cost values coincide at intersect-points only of clearly divergent return and respectively cost functions.

Views Icon Views Article contents Figures & tables Video Audio Supplementary Data Peer Review Share Icon Share Twitter LinkedIn Tools Icon Tools Get Permissions Cite Icon Cite Search Site Citation AAA Financial Accounting Standards Committee; Equity Valuation Models and Measuring Goodwill Impairment. Accounting Horizons 1 June 2001; 15 (2): 161–170. doi: https://doi.org/10.2308/acch.2001.15.2.161 Download citation file: Ris (Zotero) Reference Manager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Search Dropdown Menu nav search search input Search input auto suggest Search

Modigliani and Miller theory forms the theoretical foundation of corporate finance. Yet Modigliani and Miller theory was derived from a very special case of cash flows. Weighted Average Cost of Capital (WACC), which is part of the Modigliani and Miller theory, plays a fundamental role in capital structure decision and asset valuation. In practice, asset valuation calculated from cash flows discounted by WACC almost always differs from the sum of debt and equity values. We derive asset valuations for more general cashflows. Only when the debt equity ratio is constant over time, valuation by WACC is equal to the sum of debt and equity values.

In theory, different valuation methods, with consistent assumptions, must give identical results. Numerical examples that purport to illustrate the theory should demonstrate the identical results. Unfortunately, in popular textbooks it is all too easy to find numerical examples that are at odds with the theory. There are several possible explanations for the discrepancies. First, there might be some conceptual confusion about the underlying assumptions. Second, it could simply be errors. It is intellectual laziness to ascribe the discrepancies to the tyranny of rounding errors when in fact it is easy to show that rounding errors are not the reasons for the discrepancies. It is common to read that different valuation methods give different results. For instance, Brealey and Myers (2000, 2003) say: If the company's debt ratio is constant over time, the flow-to-equity method should give the same answer as discounting company cash flows at the WACC and subtracting debt. On the other hand, they say, If financial leverage will change significantly discounting flows to equity at today's cost of equity will not give the right answer. Inselbag and Kaufold, 1997, conclude that the APV is better than the DCF when the debt schedule is given. This is misleading in two senses: one, they mix methods because they disregard the possibility to solve the circularity posed by the relationship between and discount rates and second, as a consequence, they say that one must already have calculated the firm's value in order to know the WACC. In the latest edition of Principles of Corporate Finance (Brealey, Myers and Allen, 2006) the authors use a finite cash flow example to illustrate the valuation procedure for using the Discounted Cash Flow (DCF) method with the free cash flow (FCF) and the Adjusted Present Value (APV). The two firm values obtained are different. They say that the ... difference [...] is not a big deal considering all the lurking risks and pitfalls in forecasting [...] cash flows. Once more, in this teaching note we show that the two methods give identical values when the proper discount rates are used.

In the article, we have assessed the most significant financial indicators of the Pernod Ricard Corporation, with the aim of revealing the effectiveness of the corporation’s capital management. Pernod Ricard is one of French companies, whose branch also operates in Armenia, as a producer and seller of a wide range of wines and spirits. In the article, based on the data of the Pernod Ricard Corporation, we have assessed the corporation’s: 1. debt-to-sales ratio behavior 2. relationships between the components of the capital structure 3. level of coverage of liabilities with assets 4. debt service capacity 5. weighted average cost of capital (WACC). The weighted average cost of capital (WACC) represents the combined cost of capital from all sources. However, WACC weighs the cost of each type of capital as a percentage of the total capital. It can include debt and equity types such as bonds, convertible debt, distributable reserves, issued share capital, lease financing, non-convertible long-term finance, long-term loans, mortgage bonds, undistributed reserves, preferred stock, and retained earnings. We have considered it appropriate to estimate the weighted average cost of capital of an organization because we believe that WACC is useful for determining the value of each aspect of the organization’s capital structure based on the proportion of debt, equity, and preferred stock. It is often used as a discount rate in financial modeling, especially when calculating NPV. Հոդվածում իրականացրել ենք Պեռնո Ռիկար կորպորացիայի ֆինանսական կարևորագույն ցուցանիշների գնահատումներ, նպատակ ունենալով բացահայելու կորպորացիայի կապիտալի կառավարման արդյունավետությունը։ Պեռնո Ռիկարը ֆրանսիական ընկերություն է, որի մասնաճյուղը գործում է նաև ՀՀ-ում՝ որպես գինիների և ոգելից խմիչքների լայն տեսականի արտադրող և վաճառող: Հոդվածում Պեռնո Ռիկար կորպորացիայի տվյալների հիման վրա՝ գնահատել ենք կորպորացիայի՝ պարտքի և իրացումից հասույթի հարաբերակցության վարքագիծը, կապիտալի կառուցվածքի բաղադրիչների միջև փոխհարաբերությունները, ակտիվներով պարտավորությունների ապահովվածության մակարդակը, պարտքի սպասարկման կարողութունը, կապիտալի միջին կշռված արժեքը (WACC): Կապիտալի միջին կշռված արժեքը (WACC) ներկայացնում է կապիտալի համակցված արժեքը բոլոր աղբյուրներից: Այնուամենայնիվ, WACC-ը կշռում է յուրաքանչյուր տեսակի կապիտալի արժեքը՝ ըստ ընդհանուր կապիտալի ընդհանուր տոկոսի: Այն կարող է ներառել պարտքի և սեփական կապիտալի տեսակներ, ինչպիսիք են՝ պարտատոմսերը, պարտքը՝ սովորական բաժնետոմսերի փոխարկելու օպցիոնով, բաշխելի պահուստները, թողարկված բաժնետիրական կապիտալը, վարձակալության ֆինանսավորումը, երկարաժամկետ ֆինանսներն՝ առանց սովորական բաժնետոմսերի փոխարկելու հնարավորության, երկարաժամկետ վարկերը, հիփոթեքային պարտատոմսերը, անբաշխելի պաշարները, արտոնյալ բաժնետոմսերը, պահպանված եկամուտը: Հատկանաշական ենք համարել կազմակերպության կապիտալի միջին կշռված արժեքի գնահատումը, քանի որ կարծում ենք, որ WACC-ը շահավետ է կազմակերպության կապիտալի կառուցվածքի յուրաքանչյուր կողմի արժեքը որոշելու նպատակով՝ հիմնված պարտքի, սեփական կապիտալի և արտոնյալ բաժնետոմսերի համամասնության վրա: Այն հաճախ օգտագործվում է որպես զեղչի դրույքաչափ ֆինանսական մոդելավորման մեջ՝ հատկապես NPV-ն հաշվարկելիս:

This paper proposes a new discounted cash flows’ valuation setup, and derives a general expression for the tax shields’ discount rate. This setup applies to any debt policy and any cash flow pattern. It only requires the equality at any time between the assets side and the liabilities side of the market value balance sheet, which has been introduced by Farber, Gillet and Szafarz (2006). This concept is extensively developed in the paper. This model encompasses all the usual setups that consider a fixed discount rate for the tax shields and require a fixed level of debt or a fixed leverage ratio, in particular Modigliani & Miller (1963) and Harris & Pringle (1985). It proposes an endogenized and integrated approach and modelizes the different market value discount rates as functions of both their relevant leverage ratio and the operating profitability of the firm. Among these rates are the cost of debt and the tax shields’ discount rate, which are usually assume constant. In this model, all the discount rates are likely to vary as soon as perpetuity cases are not considered. This setup introduces a new rate for the cost of levered equity without tax shields and develops the relation between the present value of tax shields and the market value of equity since debt tax shields entirely flow to equity. It only requires the risk free rate and the unlevered cost of capital as inputs but not the capital structure of the firm, as it tackles the circularity problem by considering an iterative approach. This fully dynamic model yields both theoretical and economic sensible results, and allows straightforward applications. It apparently solves the discrepancies of the usual setups and hopefully paves the way for further research.

Purpose: The Notional Interest Deduction (NID) was introduced to achieve equal treatment of debt and equity financing by granting an additional tax deduction from self-financing. Our purpose was to analyze the practical meaning of the introduced mechanism as a factor of the Weighted Average Cost of Capital (WACC) calculation and evaluation of the efficiency of development projects. In the art, the WACC is used to determine the rates of discount for the calculation of future cash flows (CF) and net present value (NPV) of investment projects. Design/Methodology/Approach: The NID mechanism is recognized as the Allowance for Economic Growth (ACE) and the countries benefiting from this relief are recognized as applying the ACE regime. The individual ACE regime is monitored and evaluated for compliance with the European Code of the Conduct Group for business taxation. The documents published by the Council of the European Union became the basis for the tax shield rate analyses and assessment of the impact of NID on WACC changes. Findings: It has been shown that the benefits of NID mechanism can correct Weighted Average Cost of Capital in minus and the differences between countries result from the ACE regime model used, the method of calculating the qualified base and the method of determining the reference rate for the calculation of the notional interest deduction. Practical Implications: The presented use of the notional interest deduction mechanism will fill the gap in the literature on the subject and indicate new opportunities to study the efficiency of the development of organizations. The results can also help practitioners to identify a mechanism whose use may be beneficial to the company due to the possibility of a more precise assessment of the efficiency of the investment project. Originality and Value: The NID mechanism is relatively new and the issues related to it have not yet received much analysis, in particular in connection with non-tax benefits. Meanwhile, taking into account the effects of ACE regime in discounting cash flows may affect the decision to implement or reject an investment project.

When calculating Tax Savings, TS we are confronted with a strange mix of accounting accrual and market value when involving TS in the calculation of the Weighted Average Cost of Capital, WACC or the Cost of Equity, Ke. Firms earn the right to TS once they accrue the interest expense and they actually earn the TS when taxes are paid. Tax savings and the discount rate we use to calculate their value are involved in the calculation of WACC and Ke. Textbook WACC formulation is a very special and unique case that is not typical. Based on previous findings, we derive a general approach to those formulas that take into account any kind of TS related to the financing decision of a firm and any date when the TS is earned. These formulations can be used to introduce any type of externality that creates value through tax savings not captured by neither the cost of debt nor the cost of equity.In this paper we develop the formulations for Ke, the cost of levered equity and the average cost of capital when dividends, interest on equity or monetary correction of equity are deductible. This is the case of Brazil.We show that using the proper formulation the most known valuation methods, i) Firm value with Free Cash Flow and WACC for the FCF; ii) value with the Capital Cash Flow and WACC for the FCC; iii) equity value with the Cash Flow to Equity and Ke, the levered cost of equity plus debt; iv) Adjusted Present Value, APV are consistent and give identical results.

The research is centered on examining the intricate relationship between a company's capital structure and its overall value, with a specific focus on the case of Marks and Spencer plc. Capital structure essentially pertains to the allocation of resources within a firm and can be significantly affected by various factors, including long-term debt and cash flow. In order to comprehensively explore the connection between capital structure and a firm's value, several crucial factors must be taken into consideration: Gearing Level, Weighted Average, Cost of Capital (WACC), Modigliani and Merton Theory, Trade-Off Theory. Analysis of Marks and Spencer plc's annual reports spanning from 2014 to 2016 consistently demonstrates a positive correlation between gearing levels and capital structure, which is further substantiated when considering seven years' worth of data for Marks and Spencer plc in England. However, it's imperative to acknowledge that real-world managerial decisions, exemplified by the actions of Marks and Spencer's CFO, extend beyond merely striving for high gearing levels and firm value. They also prioritize considerations such as shareholder funds and cost-reduction strategies. The research findings underscore the influence of gearing levels on capital structure and, consequently, a firm's value. Nevertheless, in practical scenarios, companies do not adopt a one-size-fits-all approach of aggressively pursuing higher firm values. Instead, managers meticulously formulate strategies to adapt their capital structure in response to the ever-evolving economic landscape.

List of Figures. List of Symbols. List of Definitions, Theorems, etc. Acknowledgments. Introduction. 1. Basic Elements. 1.1 Fundamental terms. 1.1.1 Cash flows. 1.1.2 Taxes. 1.1.3 Cost of capital. 1.1.4 Time. Problems. 1.2 Conditional expectation. 1.2.1 Uncertainty and information. 1.2.2 Rules. 1.2.3 Example. Problems. 1.3 A first glance at business values. 1.3.1 Valuation concept. 1.3.2 Cost of capital as conditional expected returns. 1.3.3 A first valuation equation. 1.3.4 Fundamental theorem of asset pricing. Problems. 1.4 Further literature. 2. Corporate Income Tax. 2.1 Unlevered firms. 2.1.1 Valuation equation. 2.1.2 Weak auto-regressive cash flows. 2.1.3 Example (continued). Problems. 2.2 Basics about levered firms. 2.2.1 Equity and debt. 2.2.2 Earnings and taxes. 2.2.3 Financing policies. 2.2.4 Default. 2.2.5 Example (finite case continued). Problems. 2.3 Autonomous financing. 2.3.1 Adjusted present value (APV). 2.3.2 Example (continued). Problems. 2.4 Financing based on market values. 2.4.1 Flow to equity (FTE). 2.4.2 Total cash flow (TCF). 2.4.3 Weighted average cost of capital (WACC). 2.4.4 Miles-Ezzell- and Modigliani-Miller adjustments. 2.4.5 Example (continued). Problems. 2.5 Financing based on book values. 2.5.1 Assumptions. 2.5.2 Full distribution policy. 2.5.3 Replacement investments. 2.5.4 Investment policy based on cash flows. 2.5.5 Example (continued). Problems. 2.6 Other financing policies. 2.6.1 Financing based on cash flows. 2.6.2 Financing based on dividends. 2.6.3 Financing based on debt-cash flow ratio. 2.6.4 Comparing alternative forms of financing. Problems. 2.7 Further literature. 3. Personal Income Tax. 3.1 Unlevered and levered firms. 3.1.1 'Leverage' interpreted anew. 3.1.2 The unlevered firm. 3.1.3 Income and taxes. 3.1.4 Fundamental theorem. 3.1.5 Tax shield and distribution policy. 3.1.6 Example (continued). Problems. 3.2 Excursus: Cost of equity and tax rate. Problems. 3.3 Retention policies. 3.3.1 Autonomous retention. 3.3.2 Retention based on cash flow. 3.3.3 Retention based on dividends. 3.3.4 Retention based on market value. Problems. 3.4 Further literature. 4. Corporate and Personal Income Tax. 4.1 Assumptions. 4.2 Identification and evaluation of tax advantages. 4.3 Epilogue. Problems. Appendix: Proofs. A.1 Proofs of theorems. A.2 Proof of theorem. A.3 Proof of theorem. A.4 Proofs of theorems. A.5 Proof of theorem. A.6 Proofs of theorems. A.7 Proof of theorem. A.8 Proof of theorem. Index.

How is corporate investment affected by the weighted average cost of capital (WACC)? Since existing studies focus on listed firms, little is known of the case of private firms, in spite of their relevance in both developed and developing economies. In this paper, we attempt to fill this gap. We develop an empirical study on the impact of the WACC on private firms' investment rates. We exploit accounting information on a panel of around 1700 French private corporate groups in the non-farm, non-financial sectors, covering the period 2005–2015. We overcome the challenge posed by the lack of observable information about the cost of equity for private firms by developing a methodology that relies on estimates for comparable public firms. We find that a one-standard deviation increase in the WACC (2 percentage points) leads to a 0.7 percentage point decrease in the investment rate the following year. Increases in both components of the WACC, namely the cost of debt and the cost of equity, are associated with lower investment rates. A back-of-the-envelope calculation suggests that the heightened WACC following the euro area crises reduced the aggregate corporate investment rate of French private firms by a cumulative 1.6 percentage points over 2009–2015.

This paper presents a methodology for deflating the weighted average cost of capital (WACC) in which the WACC components (cost of equity and cost of debt) are first individually deflated and after that they are combined to obtain the deflated WACC. This approach reverses the ordering used by the Brazilian Electricity Regulatory Agency (ANEEL), who first combines and then deflates the resulting WACC. It is contended that the proposed methodology is the right one, on the ground that WACC is a virtual rate without direct connection with the effective practice. It is presented as an example of application of both criteria using the real data of a power distribution company and comparing their respective impacts on the economic value added. The obtained difference, albeit small at first sight, would lead to financial discrepancies which justify the use of the new proposal.