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FINA 4330 The Weighted Average Cost of Capital Lecture 21 Fall, 2010
Corporate Finance FINA 4330 The Weighted Average Cost of Capital Lecture 21 Fall, 2010
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Cost of Capital rs = ro + (ro -rB)B/S WACC = ro r rB
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Cost of Capital (After Tax)
rs = ro + (ro-rB)(1-T)B/S r WACC = r0(1-T(D/v)) = rs(S/V) + rB(1-T) (B/V) rB
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The two ways of representing firm value V = V (u) + T
The two ways of representing firm value V = V (u) + T * B V = SY(1-T) (1+WACC)t Where, WACC = r0 = rs (S/V) + rB (1-T)(B/V)
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Static Tradeoff Theorem
Costs of Financial Distress (“Contracting Costs”) Potential Bankruptcy Costs Underinvestment Risk Shifting Agency Costs Assume: Not Taxes Risk neutrality Single period Interest rate = 0%
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Example of Underinvestment
ASSETS PVA $1,000,000 PVGO ,000,000 TOTAL $3,000,000 LIABILITIES DEBT ,500,000 EQUITY ,000 TOTAL $3,000,000
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Example of Underinvestment
ASSETS PVA $1,000,000 PVGO ,000,000 TOTAL $3,000,000 LIABILITIES DEBT ,500,000 EQUITY ,000 TOTAL $3,000,000
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Example of Underinvestment
ASSETS PVA $1,000,000 (Cash = 600,000) (Real Assets = 400,000) PVGO ,000,000 TOTAL $3,000,000 LIABILITIES DEBT ,500,000 EQUITY ,000 TOTAL $3,000,000
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Example of Underinvestment Make a Div Payment rather than invest
ASSETS PVA $400,000 (Real Assets = 400,000) PVGO ,000,000 TOTAL $2,400,000 LIABILITIES DEBT ,250,000 EQUITY ,000 TOTAL $2,400,000
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Risk Shifting Suppose the firm has value that will look like the following: Value in Good State = $4,500,000 Value in Bad State = ,500,000 With equal probability Promised payment to the Bondholder: $3,500,000 What is the value of the equity and the debt?
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Investment Opportunity
Invest $1,000,000 to generate: $1,500,000 with probability ½ in good state, 0 otherwise, so that New cash flows are: $5,000,000 in good state 500,000 in bad state: What is the NPV of the project, value of the debt and value of the equity?
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Firm Value Costs of Financial Distress V = V(u) + PV of Tax Shield Debt Level Optimal Debt Level
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Pecking Order Hypothesis
Costly Information Conclusion Firm has an ordering under which they will Finance First, use internal funds Next least risky security
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Intuition Suppose that you know your firm is undervalued, and you want to invest in a project: How do you finance it? Now suppose you believe the firm is overvalued
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Pecking Order theory So you have a dominating way of getting capital
Internal Financing Risk free debt Risky debt Equity In general, the more “debt like” a security is, the more you want to issue it.
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So the announcement effect
If the firm announces it intends to issue equity to invest in a project, this is bad news and stock prices will go down. That is the market will ASSUME this is a bad firm. Therefore the firm will never issue equity if it can avoid it. Thus pecking order.
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