You are considering the following two mutually exclusive projects. Both projects
ID: 2656099 • Letter: Y
Question
You are considering the following two mutually exclusive projects. Both projects will be depreciated using straight-line depreciation to a zero book value over the life of the project. Neither project has any salvage value.
Year
Project(A)
Project (B)
0
-$35,000
-$5,500
1
13,000
1,000
2
11,000
1,000
3
9,000
1,000
4
7,000
1,000
5
5,000
1,000
6
7
3,000
1,000
1,000
1,000
The required rate of return is 10%.
a. (5 points) What is the NPV for each of the projects? Which project should be accepted if NPV method is applied? Explain why.
b. (5 points) What is the IRR for each of the projects? Which project should be accepted if IRR method is applied? Explain why.
c. (5 points) What is the payback period for each of the projects? Which project should be accepted if payback period method is applied? Assume that the target payback period is 4 years. Explain why.
d. (5 points) What is the discounted payback period for each of the projects? Which project should be accepted if discounted payback period method is applied? Assume that the target discounted payback period is 4 years. Explain why.
Explain why.
e. (5 points) What is the profitability index for each of the projects? Which project should be accepted if profitability index method is applied? Explain why.
f. (5 points) What is the average accounting return (AAR) for each of the projects, assuming that cash flows occurring after year 0 are net income? Which project should be accepted if AAR method is applied? Also, assume that the target AAR is 40%.
g. (5 points) Define and find the crossover rate.
h. (5 points) Sketch the NPV profile. Plot all the relevant coordinates (i.e., the points on the x and y axis; and the cross-over rate) on the graph.
Year
Project(A)
Project (B)
0
-$35,000
-$5,500
1
13,000
1,000
2
11,000
1,000
3
9,000
1,000
4
7,000
1,000
5
5,000
1,000
6
7
3,000
1,000
1,000
1,000
Explanation / Answer
Answer (a)
Project A is better because NPV is greater than or equal to zero
Answer(B)
In this case project A is better as it has Zero NPV at higher Rate
Answer (c)
In this case project B is better as the initial amount invested is recovered earlier
Answer (d)
Answer (E)
As per the PI the project A is better as PI is always greater than or equal to 1 is acceptable
Answer (F)
Cash Flow Cash Flow Year Project(A) Project (B) PVF@ 10% PV Of Pr. (A) PV Of Pr.(B) 0 -35,000 -5,500 1 -35,000.00 -5,500.00 1 13,000 1,000 0.909090909 11,818.18 909.09 2 11,000 1,000 0.826446281 9,090.91 826.45 3 9,000 1,000 0.751314801 6,761.83 751.31 4 7,000 1,000 0.683013455 4,781.09 683.01 5 5,000 1,000 0.620921323 3,104.61 620.92 6 3,000 1,000 0.56447393 1,693.42 564.47 7 1,000 1,000 0.513158118 513.16 513.16 NPV 2,763.20 -631.58Related Questions
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