A Note on Valuation Models: CCFs vs. APV vs WACC
Fabrice Bienfait
Table of Content Introduction..................................................................................................................................... 2 Enterprise Valuation ....................................................................................................................... 2 The Weighted Average Cost of Capital Approach ......................................................................... 2 The Adjusted Present Value Approach........................................................................................... 4 The Capital Cash Flow
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According to Modigliani and Miller’s proposition number one without taxes or financial market imperfections the cost of capital does not depend on financing so the weighted average of the expected returns to debt and equity investors equals the opportunity cost of capital regardless of leverage: Rd x D/V + Re x E/V = Ra = Constant independent of D/V Ra = Opportunity cost of capital = Un-levered cost of equity = Return on assets = pre-tax WACC Rd = Cost of debt, Re = Cost of equity, D/V and E/V = Target levels of debt and equity using market values
Fabrice Bienfait
IFM Final Paper
Page 2 of 8
None of the components of the cost of capital are directly observable and therefore need to be approximated using various models and assumptions. The cost of equity is derived from the capital asset pricing model (CAPM) while the cost of debt can be estimated from the firm credit rating and default risk or from yields on publicly traded debt. However interest on debt is tax deductible so if we were to discount free cash flows from operations using Ra we would not take into account the value of the tax shield. Therefore the after-tax weighted average cost of capital (WACC) is used instead. WACC includes an adjustment to the cost of debt by the marginal tax rate (Tm): WACC = Rd x (1-Tm) x D/V + Re x E/V (= Ra – Rd x Tm x D/V) WACC is less than the opportunity cost of capital Ra because the cost of debt is calculated after tax as Rd (1-Tm). Thus
We use Capital Asset Pricing Model (CAPM) approach to calculate the cost of equity. The formula of CAPM is re = rf + β × (E[RMkt] – rf).
While the relative debt and equity values can be easily determined, calculating the costs of debt and equity can be problematic. In calculating each component, we are given many different options and proxy values (boundless.com, 2015). In addition the calculation is based on assumptions of the capital mix that cannot always be maintained, “One of main limitation of using WACC is that it does not take into consideration the floatation cost of raising the marginal capital for new projects. Another problem with WACC is that it is based on an impractical assumption of same capital mix which is very difficult to maintain” (Borad, 2012).
Answer: WACC covers computation of SIVMED’s cost of capital in which each category of capital is proportionately weighted. All capital basis - common stock, preferred stock, bonds or any other long-term borrowings – should be listed under SIVMED’s WACC. We determine WACC by multiplying the cost of the corresponding capital component by its proportional weight and then adding: where: Re is a cost of equity Rd is a cost of debt E is a market value of the firm's equity D is a market value of the firm's debt V equals E + D E/V is a proportion of financing that is equity
in our calculations, as this company exhibited dramatic value differences to others in the sample, (likely to skew our results and prove misleading). Using the average of the revised sample field for each ratio, we inserted Torrington’s values where appropriate to generate an entity value. The findings generated two values for Torrington, 606 million and 398 million. Taking the average of these two numbers, Torrington exhibited a relative value of 502.41 million. Because of the lack of related information given in the case, and the often large differences in measures amongst competitors, different capital structures, internal management strategies, there remained many unknowns in our model. We decided it would be best to use this valuation to reaffirm our assumptions in our DCF valuation. (Please see exhibits)
The mixture of debt-equity mix is important so as to maximize the stock price of the Costco. However, it will be significant to consider the Weighted Average Cost of Capital (WACC) as well so that it can evaluate the company targeted capital structure. Cost of capital (OC) may be used by the companies as for long term decision making, so industries that faced to take the important of Cost of capital seriously may not make the right choice by choosing the right project(Gitman’s, ).
At first, WACC and CAPM was attempted to be used as a source of cost of capital. However, for WACC, there is no available proportion of debt and cost of debt for MW. For CAPM, no available data seems to support the acceptable
3) What is the weighted average cost of capital and why is it important to estimate it? Is the
For future cash flows, evaluation is done with WACC rate which consists from cost of equity and cost of debt in a weighted average. In this case, using cost of equity is not appropriate since we doesn’t know cost of debt and weights of equity and debt, it doesn’t reflect the actual rate for WACC.
Kd (Wd), Ke (We) and Kp (Wp) are the costs (weights) associated, respectively, with the firm’s interest bearing debt,
1.1 The definition of WACC Weighted average cost of capital(WACC), is a weighted-computational method of analyzing the cost of capital based on the whole capital structure of a firm. The result of WACC is the rate a firm use to monitor the application of the current assets because it represents the return the firm MUST get. For example this rate could be used as the discount rate of evaluating an investment, and maintaining the price of firm’s stock.
WACC (Weighted Average Cost of Capital) is a market weighted average, at target leverage, of the cost of after tax debt and equity.
WACC is the weighted average cost of capital and provides firms with the idea of the proportion of debt
Pareja (2008) built theoretical model about weighted average cost of capital (WACC) of companies which use leverage finance. They argued that the traditional opinion that believed leverage ratio was the most important factor in determine WACC and when leverage ratio is constant, WACC is constant does not hold true when pricing finite free cash flow. They used a numerical example showed that WACC is depend on the discount rate which is used to pricing tax shield. If we assume that the discount rate for tax shield is simply cost of debt and leverage ratio is constant, WACC will not be constant. In this case, they must make some more assumption other than constant leverage ratio to ensure the constant WACC. In the end, they found that the sufficient conditions of constant WACC are 1. There is enough EBIT to fully earn the tax shield, 2. Taxes are paid when accrued, 3. The risk of TS is cost of unleveraged cost, 4. Tax rate T, is constant, 5. Interest rate on debt is equal to the (market) cost of debt.
The Weighted Average Cost of Capital (WACC) is the discount rate used in a Discounted Cash Flow (DCF) analysis to present value projected free cash flows and terminal value.
We use the Capital Asset Pricing Model (CAPM) to determine the cost of equity. As