# FIN 534 homework set 4

Directions: Answer the following questions on a separate document. Explain how you reached the answer or show your work if a mathematical calculation is needed, or both. Submit your assignment using the assignment link in the course shell. This homework assignment is worth 100 points. Use the following information for Questions 1 through 5: Assume you are presented with the following mutually exclusive investments whose expected net cash flows are as follows: 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? Use the following information for Questions 6 through 8: 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 deviation, and its coefficient of variation for each probability. Use the following information for Question 9: At year-end 2013, Wallace Landscaping’s total assets were \$2.17 million and its accounts payable were \$560,000. Sales, which in 2013 were \$3.5 million, are expected to increase by 35% in 2014. Total assets and accounts payable are proportional to sales, and that relationship will be maintained. Wallace typically uses no current liabilities other than accounts payable. Common stock amounted to \$625,000 in 2013, and retained earnings were \$395,000. Wallace Use the following information for Questions 1 through 5:
Assume you are presented with the following mutually exclusive investments whose expected net cash flows are as follows:
A
B
C
D

EXPECTED NET CASH FLOWS:
3
Year
Project A
Project B
4
0
-\$400
-\$650
5
1
-528
210
6
2
-219
210
7
3
-150
210
8
4
1,100
210
9
5
820
210
10
6
990
210
11
7
-325
210