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Valuation: Apv vs Wacc

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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 …show more content…

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

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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

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