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Fin 350 Exam 2, Fall 2010
Name ___________________________
This has answers to the problems which I believe, but cannot guarantee, are correct.
1. Under certain conditions, a particular project may have more than one IRR. One condition under
which this situation can occur is if, in addition to the initial investment at time = 0, a negative
cash flow occurs at the end of the project's life.
a. True
b. False
2. The modified IRR (MIRR) method has wide appeal to professors, but most business executives prefer
the NPV method to either the regular or modified IRR.
a. True
b. False
3. A firm should never undertake an investment if accepting the project would cause an increase in the
firm's cost of capital.
a. True
b. False
4. A decrease in the firm's discount rate (r) will increase NPV, which could change the accept/reject
decision for a potential project. However, such a change would have no impact on the project's
IRR, hence on the accept/reject decision under the IRR method.
a. True
b. False
5. If the IRR of normal Project X is greater than the IRR of mutually exclusive Project Y (also normal), we
can conclude that the firm will select X rather than Y if X has a NPV > 0.
a. True
b. False
6. Estimating project cash flows is considered the most difficult step in the capital budgeting process.
Both the number of variables and the interdepartmental nature of the process contribute to the
difficulty of estimating cash flows.
a. True
b. False
7. A project's market risk increases if the correlation of its cash flows with the economy decreases.
a. True
b. False
8. Risky projects can be evaluated by discounting expected cash flows using a risk-adjusted discount
a. True
b. False
9. Opportunity costs include those cash inflows that could be generated from assets the firm already
owns, if those assets are not used for the project being evaluated.
a. True
b. False
10. Suppose a firm is considering production of a new product whose projected sales include sales that
will be taken away from another product the firm also produces. The lost sales on the existing
product are a sunk cost and are not a relevant cost to the new product.
a. True
b. False
11. Capital can be defined as the funds supplied by investors.
a. True
b. False
Multiple choice questions count 2 points each.
1. Which of the following statements is most correct?
a. The NPV method assumes that cash flows will be reinvested at the cost of capital while the
IRR method assumes reinvestment at the IRR.
b. The NPV method assumes that cash flows will be reinvested at the risk free rate while the
IRR method assumes reinvestment at the IRR.
c. The NPV method assumes that cash flows will be reinvested at the cost of capital while the
IRR method assumes reinvestment at the risk-free rate.
d. The NPV method does not consider the inflation premium.
2. A company is considering an expansion project. The company’s CFO plans to calculate the project’s
NPV by discounting the relevant cash flows (which include the initial up-front costs, the
operating cash flows, and the terminal cash flows) at the company’s cost of capital (WACC).
Which of the following factors should the CFO include when estimating the relevant cash flows?
Any sunk costs associated with the project.
Any interest expenses associated with the project.
Any opportunity costs associated with the project.
Answers b and c are correct.
All of the answers above are correct.
3. Adams Audio is considering whether to make an investment in a new type of technology. Which of
the following factors should the company consider when it decides whether to undertake the
a. The company has already spent $3 million researching the technology.
b. The new technology will affect the cash flows produced by its other operations.
c. If the investment is not made, then the company will be able to sell one of its laboratories
for $2 million.
d. All of the factors above should be considered.
e. Factors b and c should be considered.
4. Assume a project has normal cash flows (i.e., the initial cash flow is negative, and all other cash flows
are positive). Which of the following statements is most correct?
All else equal, a project's IRR increases as the cost of capital declines.
All else equal, a project's NPV increases as the cost of capital declines.
All else equal, a project's MIRR is unaffected by changes in the cost of capital.
Answers a and b are correct.
Answers b and c are correct.
5. If a company uses the same discount rate to evaluate all
projects, the firm will most likely become
Riskier over time, and its value will decline.
Riskier over time, and its value will rise.
Less risky over time, and its value will rise.
Less risky over time, and its value will decline.
There is no reason to expect its risk position or value to change over time as a result of its
use of a single discount rate.
6. Risk in a revenue-producing project can best be adjusted for by
Ignoring it.
Adjusting the discount rate upward for increasing risk.
Adjusting the discount rate downward for increasing risk.
Picking a risk factor equal to the average discount rate.
Reducing the NPV by 10 percent for risky projects.
7. Suppose the firm's WACC is stated in nominal terms, but the project's expected cash flows are
expressed in real dollars. In this situation, other things held constant, the calculated NPV would
Be correct.
Be biased downward.
Be biased upward.
Possibly have a bias, but it could be upward or downward.
More information is needed; otherwise, we can make no reasonable statement.
8. Which of the following statements about the cost of capital is incorrect?
a. A company's target capital structure affects its weighted average cost of capital.
b. Weighted average cost of capital calculations should be based on the after-tax-costs of all
the individual capital components.
c. If a company's tax rate increases, then, all else equal, its weighted average cost of capital
will increase.
d. The cost of retained earnings is equal to the return stockholders could earn on alternative
investments of equal risk.
e. Flotation costs can increase the cost of preferred stock.
1. (12 points) You have estimated the following cash flows for Project X:
The cost of capital for the project is 12%.
a. Calculate the internal rate of return for the project.
b. Calculate the NPV for the project.
c. Calculate the MIRR.
a. 7.57%
b. -$7,448.07
c. 9.73%
2. (28 points) Pasta and Pizza, Inc. owns a chain of restaurants. It is considering marketing its
own brand of pasta in grocery stores. It will require purchasing equipment with a cost of
$2,400,000. Delivery and installation of the equipment will cost an additional $300,000. The
project will require an increase in net operating working capital of $200,000 at the beginning of
the project. The firm’s tax rate is 40 percent.
a. (4 points) Calculate the initial investment for the project.
$2.9 million
b. (2 points) Depreciation for tax purposes will be straight line to zero over the three year life of
the equipment. Calculate annual depreciation expense for the project.
c. (5 points) At the end of 3 years the equipment will be sold for an estimated $800,000 and
funds invested in net working capital will be recovered. Calculate the terminal cash flows.
Problem 4, continued.
d. (9 points) The project is expected to generate sales revenue of $3 million per year, based on
the expected sales price at t = 0. Cash expenses are 45 percent of sales revenue. The sale price
and cash expenses are expected to increase at 4 percent annually due to inflation. Calculate the
annual operating cash flows for each year of the project, taking into consideration the effects of
inflation on sales revenue and cash expenses.
e. (8 points) Briefly explain how the increase in net operating working capital affects the cash
flows at the beginning (i.e., at t=0) and at the end of the project.
3. (10 points) Flagstaff Mfg. has a corporate WACC of 12 percent. You are evaluating two mutually
exclusive projects, X and Y, each of which has a lifetime of 6 years. Use the information provided to
answer the questions below.
Project X:
Initial investment
Expected NPV @ 12%
Standard deviation of NPV
Project Y:
Initial investment
Expected NPV @ 12%
Standard deviation of NPV
a. What type of risk does the standard deviation measure (circle one)?
stand-alone risk within-firm risk market risk
The cash flows from project X are positively correlated with the firm’s existing cash flows, while the
cash flows of Y are negatively correlated with the firm’s existing cash flows.
b. Based on the information provided, which project has the lower within-firm (or corporate) risk (circle
Project X
Project Y
c. Which project should the firm accept? Be specific.
4. (12 points) Projects J and K mutually exclusive. Project J costs $100 dollars and provides positive cash
flows of $50 per year over its 3 year life. Project K costs $180 and provides cash flows of $50 per year
over its 6 year life. The cost of capital is 10 percent for both projects.
NPV @ 10%
a. Calculate the replacement chain NPV for J.
RCNPVJ = $42.63
b. The Equivalent Annual Annuity for Project K is $8.67. Calculate the Equivalent Annual Annuity for
project J.
EAAJ = $9.79
c. Which project should be chosen? State what your decision is based on. Be specific.
5. (14 points) The following information was obtained from the Wall Street Journal, Oct. 19, 2010, p. B2:
Power Type
Purchase cost
Annual Fuel Cost
Chevrolet Cruze
Gas powered
Nissan Leaf
All electric
a. You plan to keep the vehicle 8 years. You believe maintenance costs and salvage values will be equal
for the two vehicles. Your only objective is to minimize the cost of transportation and the annual
opportunity cost of funds is 6%. Which vehicle should you buy?
PV of costs for Cruze = $26,042.67
PV of costs for Leaf = $28,839.08
b. If you believe the Nissan Leaf is a riskier choice because of its relatively new technology, how should
you alter your analysis to reflect that? Explain your answer. (This requires no additional calculations.)
For cost-only projects, lower the discount rate for higher risk.
6. (12 points) Fox, Inc. has issued and sold one hundred thousand bonds with a par value of $1,000 each.
The market price of the bonds is $920. Its only current liabilities are accounts payable and accruals. It
has no other interest bearing debt. Fox has 4 million shares of common stock outstanding with a market
price of $80. The bonds and common equity are its only sources of capital.
a. Calculate the percentage of capital from each source using the market values (that is, the market
value weights).
Com Equity
b. Fox can issue new bonds with a coupon rate of 6% to be sold at par. Fox has a 30% tax rate. Calculate
the after-tax cost of debt financing.
c. The stock’s beta is 0.80. The risk-free rate is 4% and the expected return on the market is 11%.
Calculate the required return on common stock using CAPM.
d. Fox does not plan to sell any additional shares of common stock this year and anticipates adding $20
million to retained earnings this year. Use the market value weights and your answers above to calculate
the weighted average cost of capital (WACC).
e. What is the maximum capital budget that Fox can finance in the coming year (without selling new
shares of common stock)?
$25.74 million