Fin 534 Week 8 Homework Set 4

FIN 534 Week 8 Homework Set 4

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EXPECTED NET CASH FLOWS:

Year Project A Project B

0 −$400 −$650

1 −528 210

2 −219 210

3 −150 210

4 1,100 210

5 820 210

6 990 210

7 −325 210

1. Construct NPV profiles for Projects A and B.

2. What is each project’s IRR?

3. If each project’s cost of capital were 10%, which project, if either, should be selected? If the cost

of capital were 17%, what would be the proper choice?

4. What is each project’s MIRR at the cost of capital of 10%? At 17%? (Hint: Consider Period 7 as

the end of Project B’s life.)

5. What is the crossover rate, and what is its significance?

The staff of Porter Manufacturing has estimated the following net after-tax cash flows and probabilities for

a new manufacturing process:

Line 0 gives the cost of the process, Lines 1 through 5 give operating cash flows, and Line 5* contains the

estimated salvage values. Porter’s cost of capital for an average-risk project is 10%.

Net After-Tax Cash Flows

Year P = 0.2 P = 0.6 P = 0.2

0 −$100,000 −$100,000 −$100,000

1 20,000 30,000 40,000

2 20,000 30,000 40,000

3 20,000 30,000 40,000

4 20,000 30,000 40,000

5 20,000 30,000 40,000

5* 0 20,000 30,000

6. Assume that the project has average risk. Find the project’s expected NPV. (Hint: Use expected

values for the net cash flow in each year.)

7. Find the best-case and worst-case NPVs. What is the probability of occurrence of the worst case

if the cash flows are perfectly dependent (perfectly positively correlated) over time?

8. Assume that all the cash flows are perfectly positively correlated. That is, assume there are only

three possible cash flow streams over time—the worst case, the most likely (or base) case, and

the best case—with respective probabilities of 0.2, 0.6, and 0.2. These cases are represented by

each of the columns in the table. Find the expected NPV, its standard...