# CHAPTER 10 Capital Budgeting Problems

284 CHAPTER 10 Capital Budgeting Problems

Capital Budgeting Problems

1. Gander, Inc. is considering two projects with the following cash flows.

 Year Project X Project Y 0 (\$100,000) (\$100,000) 1 \$40,000 \$50,000 2 \$40,000 \$0 3 \$40,000 \$0 4 \$40,000 \$0 5 \$40,000 \$250,000

Gander uses the payback period method of capital budgeting and accepts only projects with payback periods of 3 years or less.

a. If the projects are presented as standalone opportunities which one( s) would Gander accept? If they were mutually exclusive and Gander disregarded its three year rule, which project would be chosen?

b. Is there a flaw in the thinking behind the correct answers to part a?

2. A project has the following cash flows

 C0 C1 C2 C3 \$(700) \$200 \$500 \$244

a. What is the projects payback period?

b. Calculate the projects NPV at 12%.

c. Calculate the projects PI at 12%.

4. Clancy Inc. is considering a project with the following cash flows.

 C0 C1 C2 C3 \$(7,800) \$2,300 \$3,500 \$4,153

a. Clancy has a policy of rejecting all projects that dont pay back within three years and analyzing those that do more carefully with time value based meth-ods. Does this project warrant further consideration?

b. Should Clancy accept the project based on its NPV if the companys cost of capital is 8%?

c. What conclusion will the firm reach based on PI?

6. Hamstring Inc. is considering a project with the following cash flows.

 C0 C1 C2 C3 C4 \$25,000 \$10,000 \$12,000 \$5,000 \$8,000

The company is reluctant to consider projects with paybacks of more than three years. If projects pass the payback screen, they are considered further by means of the NPV and IRR methods. The firms cost of capital is 9%.

a. What is the projects payback period? Should the project be considered further?

b. What is the projects NPV? Does NPV indicate acceptance on a stand- alone basis?

c. Calculate the projects IRR by using an iterative approach. Start by using the cost of capital and the NPV calculation from part ( a). Does IRR indicate acceptance on a stand- alone basis?

d. What is the projects PI? Does PI indicate acceptance on a stand- alone basis?

7. Project Alpha requires an initial outlay of \$ 35,000 and results in a single cash inflow of \$ 56,367.50 after five years.

a. If the cost of capital is 8%, what are Alphas NPV and PI? Is the project accept-able under each of these techniques?

b. What is project Alphas IRR? Is it acceptable under IRR?

c. What are Alphas NPV and PI if the cost of capital is 12%? Is the project acceptable under that condition?

d. What is Alphas payback period? Does payback make much sense for a project like Alpha? Why or why not?

8. The Sampson Company is considering a project that requires an initial outlay of \$ 75,000 and produces cash inflows of \$ 20,806 each year for five years. Sampsons cost of capital is 10%.

a. Calculate the projects payback period by making a single division rather than accumulating cash inflows. Why is this possible in this case?

b. Calculate the projects IRR, recognizing the fact that the cash inflows are an annuity. Is the project acceptable? Did your calculation in this part result in any number( s) that were also calculated in part ( a)? What is it about this prob-lem that creates this similarity? Will this always happen in such cases?

c. What is the projects NPV? Is the project acceptable according to NPV rules?

9. Calculate the IRR, NPV, and PI for projects with the following cash flows. Do each NPV and PI calculation at costs of capital of 8% and 12%. Calculate IRRs to the nearest whole percent.

a. An initial outlay of \$ 5,000 and inflows of \$ 1,050 for seven years.

b. An initial outlay of \$ 43,500 and inflows of \$ 14,100 for four years.

c. An investment of \$ 78,000 followed by 12 years of income of \$ 11,500.

d. An outlay of \$ 36,423 followed by receipts of \$ 8,900 for six years.

11. Calculate the NPV for the following projects.

a. An outflow of \$ 7,000 followed by inflows of \$ 3,000, \$ 2,500, and \$ 3,500 at one-year intervals at a cost of capital of 7%.

b. An initial outlay of \$ 35,400 followed by inflows of \$ 6,500 for three years and then a single inflow in the fourth year of \$ 18,000 at a cost of capital of 9%. ( Recognize the first three inflows as an annuity in your calculations.)

c. An initial outlay of \$ 27,500 followed by an inflow of \$ 3,000 followed by five years of inflows of \$ 5,500 at a cost of capital of 10%. [ Recognize the last five inflows as an annuity, but notice that it requires a treatment different from the annuity in part ( b).]

16. Bagel Pantry Inc. is considering two mutually exclusive projects with widely dif-fering lives. The companys cost of capital is 12%. The project cash flows are sum-marized as follows.

 Project A Project B C0 \$(25,000) \$(23,000) C1 \$14,742 \$6,641 C2 \$14,742 \$6,641 C3 \$14,742 \$6,641 C4 \$6,641 C5 \$6,641 C6 \$6,641 C7 \$6,641 C8 \$6,641 C9 \$6,641

a. Compare the projects using payback.

b. Compare the projects using NPV.

c. Compare the projects using IRR.

d. Compare the projects using the replacement chain approach.

e. Compare the projects using the EAA method.

a. Compare the projects using payback.

b. Compare the projects using NPV

. c. Compare the projects using IRR. d. Compare the projects using the replacement chain approach.

e. Compare the projects using the EAA method. f. Choose a project and justify your choice.f. Choose a project and justify your choice.