FIN 534 Homework Set 4 - Strayer
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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 has
arranged to sell $195,000 of new common stock in 2014 to meet some of its
financing needs. The remainder of its financing needs will be met by issuing
new long-term debt at the end of 2014. (Because the debt is added at the end of
the year, there will be no additional interest expense due to the new debt.)
Its net profit margin on sales is 5%, and 45% of earnings will be paid out as
dividends.
9. What
were Wallace’s total long-term debt and total liabilities in 2013?
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