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Where Do We Stand?
Earlier chapters on capital budgeting
focused on the appropriate size and
timing of cash flows.
This chapter discusses the appropriate
discount rate when cash flows are risky.
Will also now be employing our CAPM
tools as well.
13-2
13.1 The Cost of Equity Capital
Shareholder
Firm with invests in
excess cash Pay cash dividend financial
asset
A firm with excess cash can either pay a
dividend or make a capital investment
Shareholder’s
Invest in project Terminal
Value
Because stockholders can reinvest the dividend in risky financial assets,
the expected return on a capital-budgeting project should be at least as
great as the expected return on a financial asset of comparable risk. 13-3
The Cost of Equity Capital
From the firm’s perspective, the expected
return is the Cost of Equity Capital:
Rs RF β(RM RF)
• To estimate a firm’s cost of equity capital, we need
to know three things:
1. The risk-free rate, R
F
2. The market risk premium, RM RF
Cov(R,R ) σi,M
3. The company beta, β i M
i Var(R ) σ2
M M
13-4
Example
Suppose the stock of Stansfield Enterprises, a
publisher of PowerPoint presentations, has a beta
of 1.5. The firm is 100% equity financed.
Assume a risk-free rate of 3% and a market risk
premium of 7%.
What is the appropriate discount rate for an
expansion of this firm?
Rs RF β(RM RF)
Rs 3%1.57%
Rs 13.5% 13-5
Example
Suppose Stansfield Enterprises is evaluating the following
independent projects. Each costs $100 and lasts one year.
Project Project b Project’s IRR NPV at
Estimated Cash 13.5%
Flows Next
Year
A 1.5 $125 25% $10.13
B 1.5 $113.5 13.5% $0
C 1.5 $105 5% -$7.49
13-6
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