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CHAPTER SIXTEEN Capital Structure By J.D. Han
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Evaluation of Capital Structures A capital structure that maximizes share prices generally will minimize the firm’s WACC If a firm can lower its WACC, shareholders will receive greater returns reflected in increased share prices capital structure market price per share, WACC market price per share, WACC
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Evaluation of Capital Structures Different capital structures results in different levels of financial risk created through leverage. Three trade-off possibilities include: 1. Cost equity increases with leverage at a moderate rate so that when combined with debt l WACC decreases with increased leverage 2. Cost of equity increases at a rate that offsets the benefits gained through cheaper financing l WACC remains constant 3. Cost of equity increases rapidly with leverage and increase more than offsets any gains from debt l WACC increases with leverage
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Leverage is measured as the proportion of debt in relation to equity in the capital structure (B/E) With V = B + E, WACC is:
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Theory of Capital Structure Relationship Between the WACC, Cost of Equity, and Leverage
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Case 1: Capital structure without taxes and bankruptcy costs - costs from equity financing and from bond financing should be the same with each other; capital structure does not matter. denoting k e u and k e L as the cost of equity for unlevered and levered firms we have: rearranged we get:
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Case 2: Capital Structure with Corporate taxes –capital structure matters. levered firm’s taxes are reduced by the tax shield on interest (IT) V L > V u Ignoring bankruptcy, investors would prefer owning debt and equity of L over equity U
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Assuming debt outstanding (B) is perpetual and the tax shield generated by interest payments becomes a perpetual annuity of IT then: Present value of tax savings =
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The total value of a levered firm is The residual value for the equity is
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l The cost of equity k e L increases at a slower rate, which can be seen through the formulas: How? We will prove it in a separate page.We will prove it in a separate page. What is the required rate of return of equity for a levered firm?
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Note that k b = (1-T) r b or the after-tax interest rate on bonds:
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Thus, the Total Cost of Capital is
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- Debt-Equity Ratio and Bankruptcy Costs: the ability of an enterprise to tolerate higher leverage : As debts rises, the Risk Premium rises. - Agency Problems: when managers fail to act in the best interests of shareholders in the equity financing: As debts rises, this Risk Premium falls. - Which one will be dominating the other? Two Competing Factors to be Considered
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Evaluation of Capital Structures Consequences of Different Shareholder Attitudes Toward Risk
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