CHAPTER 18
VALUATION AND CAPITAL
BUDGETING FOR THE LEVERED
FIRM
Answers to Concepts Review and Critical Thinking Questions
1.
APV is equal to the NPV of the project (i.e. the value of the project for an unlevered firm) plus the
NPV of financing side effects.
2.
The WACC is based on a target debt level while the APV is based on the amount of debt.
3.
FTE uses levered cash flow and other methods use unlevered cash flow.
4.
The WACC method does not explicitly include the interest cash flows, but it does implicitly include
the interest cost in the WACC. If he insists that the interest payments are explicitly shown, you
should use the FTE method.
5.
You can estimate the unlevered beta from a levered beta. The unlevered beta is the beta of the assets
of the firm; as such, it is a measure of the business risk. Note that the unlevered beta will always be
lower than the levered beta (assuming the betas are positive). The difference is due to the leverage of
the company. Thus, the second risk factor measured by a levered beta is the financial risk of the
company.
Solutions to Questions and Problems
NOTE: All endofchapter problems were solved using a spreadsheet. Many problems require multiple
steps. Due to space and readability constraints, when these intermediate steps are included in this
solutions manual, rounding may appear to have occurred. However, the final answer for each problem is
found without rounding during any step in the problem.
Basic
1.
a.
The maximum price that the company should be willing to pay for the fleet of cars with all
equity funding is the price that makes the NPV of the transaction equal to zero. The NPV
equation for the project is:
NPV = –Purchase Price + PV[(1 – t
C
)(EBTD)] +
PV(Depreciation Tax Shield)
If we let P equal the purchase price of the fleet, then the NPV is:
NPV = –P + (1 – .35)($140,000)PVIFA
13%,5
+ (.35)(P/5)PVIFA
13%,5
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Setting the NPV equal to zero and solving for the purchase price, we find:
0 = –P + (1 – .35)($140,000)PVIFA
13%,5
+ (.35)(P/5)PVIFA
13%,5
P = $320,068.04 + (P)(0.35/5)PVIFA
13%,5
P = $320,068.04 + .2462P
.7538P = $320,068.04
P = $424,609.54
b.
The adjusted present value (APV) of a project equals the net present value of the project if it
were funded completely by equity plus the net present value of any financing side effects. In
this case, the NPV of financing side effects equals the aftertax present value of the cash flows
resulting from the firm’s debt, so:
APV = NPV(AllEquity) + NPV(Financing Side Effects)
So, the NPV of each part of the APV equation is:
NPV(AllEquity)
NPV = –Purchase Price + PV[(1 – t
C
)(EBTD)] + PV(Depreciation Tax Shield)
The company paid $395,000 for the fleet of cars. Because this fleet will be fully depreciated
over five years using the straightline method, annual depreciation expense equals:
Depreciation = $395,000/5
Depreciation = $79,000
So, the NPV of an allequity project is:
NPV = –$395,000 + (1 – 0.35)($140,000)PVIFA
13%,5
+ (0.35)($79,000)PVIFA
13%,5
NPV = $22,319.49
NPV(Financing Side Effects)
The net present value of financing side effects equals the aftertax present value of cash flows
resulting from the firm’s debt, so:
NPV = Proceeds – Aftertax PV(Interest Payments) – PV(Principal Payments)
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 Spring '11
 singh
 Depreciation, Corporate Finance, Cost Of Capital, Valuation, Weighted average cost of capital

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