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Chapter 17 Capital Structure Determination ©  2001 Prentice-Hall, Inc. Fundamentals of Financial Management, 11/e Created by: Gregory A. Kuhlemeyer, Ph.D. Carroll College, Waukesha, WI
Capital Structure Determination ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Capital Structure ,[object Object],[object Object],Capital Structure  -- The mix (or proportion) of a firm’s permanent long-term financing represented by debt, preferred stock, and common stock equity.
A Conceptual Look --Relevant Rates of Return ,[object Object],Annual interest on debt Market value of debt I B = = k i ,[object Object],[object Object],[object Object],[object Object],[object Object]
A Conceptual Look --Relevant Rates of Return E S = = k e  = the expected return on the company’s equity Earnings available to  common shareholders Market value of common  stock outstanding k e ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],E S
A Conceptual Look --Relevant Rates of Return O V = = k o  = an overall capitalization rate for the firm Net operating income Total market value of the firm k o ,[object Object],[object Object],[object Object],O V
Capitalization Rate Capitalization Rate, k o   -- The discount rate used to determine the present value of a stream of expected cash flows. k o k e k i B B + S S B + S = + What happens to  k i ,  k e , and  k o   when leverage, B/S, increases?
Net Operating Income Approach ,[object Object],[object Object],[object Object],[object Object],Net Operating Income Approach  -- A theory of capital structure in which the weighted average cost of capital and the total value of the firm remain constant as financial leverage is changed.
Required Rate of Return on Equity ,[object Object],[object Object],[object Object],Calculating the required rate of return on equity * B / S = $1,800 / $7,200 = .25 Interest payments = $1,800 x 10%
[object Object],[object Object],[object Object],Required Rate of Return on Equity What is the rate of return on equity if B=$3,000? * B / S = $3,000 / $6,000 = .50 Interest payments = $3,000 x 10%
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Required Rate of Return on Equity Examine a variety of different debt-to-equity ratios and the resulting required rate of return on equity. Calculated in slides 9 and 10
Required Rate of Return on Equity Capital costs and the NOI approach in a graphical representation. 0  .25  .50  .75  1.0  1.25  1.50  1.75  2.0 Financial Leverage (B / S) .25 .20 .15 .10 .05 0 Capital Costs (%) k e  = 16.25% and 17.5% respectively k i   (Yield on debt) k o  (Capitalization rate) k e  (Required return on equity)
Summary of NOI Approach ,[object Object],[object Object],[object Object],[object Object]
Traditional Approach ,[object Object],Traditional Approach  -- A theory of capital structure in which there exists an  optimal capital structure  and where management can increase the total value of the firm through the judicious use of financial leverage.
Optimal Capital Structure:  Traditional Approach Traditional Approach Financial Leverage (B / S) .25 .20 .15 .10 .05 0 Capital Costs (%) k i k o k e Optimal Capital Structure
Summary of the Traditional Approach ,[object Object],[object Object],[object Object],[object Object],[object Object]
Total Value Principle:  Modigliani and Miller (M&M) ,[object Object],[object Object],[object Object],[object Object]
Total Value Principle:  Modigliani and Miller ,[object Object],[object Object],Market value  of debt ($65M) Market value of equity ($35M) Total firm market value ($100M) Market value  of debt ($35M) Market value of equity ($65M) Total firm market value ($100M) ,[object Object]
Arbitrage and Total Market Value of the Firm ,[object Object],Two firms that are alike in every respect  EXCEPT  capital structure  MUST  have the same market value. Otherwise,  arbitrage  is possible.
Arbitrage Example ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],Arbitrage Example: Company NL Valuation of Company NL
Arbitrage Example: Company L ,[object Object],[object Object],[object Object],[object Object],[object Object],Valuation of Company L
Completing an Arbitrage Transaction ,[object Object],[object Object],[object Object],[object Object],[object Object]
Completing an Arbitrage Transaction Original return on investment in Company L $400 x 16% = $64 ,[object Object],[object Object],[object Object],[object Object],[object Object]
Summary of the Arbitrage Transaction ,[object Object],[object Object],[object Object],[object Object],[object Object]
Market Imperfections and Incentive Issues ,[object Object],[object Object],[object Object],[object Object],[object Object]
Required Rate of Return on Equity with Bankruptcy Financial Leverage (B / S) R f Required Rate of Return on Equity (k e ) k e  with no leverage k e  without bankruptcy costs k e  with bankruptcy costs Premium for financial risk Premium for business risk Risk-free rate
Agency Costs ,[object Object],[object Object],[object Object],Agency Costs  -- Costs associated with monitoring management to ensure that it behaves in ways consistent with the firm’s contractual agreements with creditors and shareholders.
Example of the Effects of Corporate Taxes ,[object Object],[object Object],[object Object],[object Object],[object Object],The judicious use of  financial leverage (i.e., debt)  provides a favorable impact on a company’s total valuation .
[object Object],[object Object],[object Object],[object Object],Corporate Tax Example: Company ND Valuation of Company ND  (Note: has no debt)
[object Object],[object Object],[object Object],[object Object],Corporate Tax Example: Company D Valuation of Company D   (Note: has some debt) * $240 annual tax-shield benefit of debt (i.e., $1,440 - $1,200)
Tax-Shield Benefits Tax Shield  -- A tax-deductible expense.  The expense protects (shields) an equivalent dollar amount of revenue from being taxed by reducing taxable income. Present value of tax-shield benefits of debt * = ( r ) ( B ) ( t c ) r =  ( B ) ( t c ) *  Permanent debt, so treated as a perpetuity **  Alternatively, $240 annual tax shield / .12 = $2,000, where $240=$600 Interest expense x .40 tax rate. = ( $5,000 ) ( .4 )  =  $2,000 **
Value of the Levered Firm ,[object Object],[object Object],Value of Value of   Present value of levered   =   firm if +  tax-shield benefits firm unlevered   of debt *  Assuming zero growth and 100% dividend payout
Summary of Corporate Tax Effects ,[object Object],[object Object],[object Object],[object Object]
Other Tax Issues ,[object Object],[object Object],[object Object],[object Object],[object Object]
Bankruptcy Costs, Agency Costs, and Taxes ,[object Object],Value of levered firm =  Value of   firm if   unlevered  +  Present value of tax-shield benefits    of debt    -  Present value of   bankruptcy and    agency costs
Bankruptcy Costs, Agency Costs, and Taxes Optimal Financial Leverage Taxes, bankruptcy, and agency costs combined Net tax effect Financial Leverage (B/S) Cost of Capital (%) Minimum Cost of Capital Point
Financial Signaling ,[object Object],[object Object],[object Object],[object Object]

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  • 1. Chapter 17 Capital Structure Determination © 2001 Prentice-Hall, Inc. Fundamentals of Financial Management, 11/e Created by: Gregory A. Kuhlemeyer, Ph.D. Carroll College, Waukesha, WI
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  • 7. Capitalization Rate Capitalization Rate, k o -- The discount rate used to determine the present value of a stream of expected cash flows. k o k e k i B B + S S B + S = + What happens to k i , k e , and k o when leverage, B/S, increases?
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  • 12. Required Rate of Return on Equity Capital costs and the NOI approach in a graphical representation. 0 .25 .50 .75 1.0 1.25 1.50 1.75 2.0 Financial Leverage (B / S) .25 .20 .15 .10 .05 0 Capital Costs (%) k e = 16.25% and 17.5% respectively k i (Yield on debt) k o (Capitalization rate) k e (Required return on equity)
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  • 15. Optimal Capital Structure: Traditional Approach Traditional Approach Financial Leverage (B / S) .25 .20 .15 .10 .05 0 Capital Costs (%) k i k o k e Optimal Capital Structure
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  • 27. Required Rate of Return on Equity with Bankruptcy Financial Leverage (B / S) R f Required Rate of Return on Equity (k e ) k e with no leverage k e without bankruptcy costs k e with bankruptcy costs Premium for financial risk Premium for business risk Risk-free rate
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  • 32. Tax-Shield Benefits Tax Shield -- A tax-deductible expense. The expense protects (shields) an equivalent dollar amount of revenue from being taxed by reducing taxable income. Present value of tax-shield benefits of debt * = ( r ) ( B ) ( t c ) r = ( B ) ( t c ) * Permanent debt, so treated as a perpetuity ** Alternatively, $240 annual tax shield / .12 = $2,000, where $240=$600 Interest expense x .40 tax rate. = ( $5,000 ) ( .4 ) = $2,000 **
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  • 37. Bankruptcy Costs, Agency Costs, and Taxes Optimal Financial Leverage Taxes, bankruptcy, and agency costs combined Net tax effect Financial Leverage (B/S) Cost of Capital (%) Minimum Cost of Capital Point
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