Question

In: Finance

Part 1. Suppose your firm is considering investing in a project with the cash flows shown...

Part 1. Suppose your firm is considering investing in a project with the cash flows shown below, that the required rate of return on projects of this risk class is 11 percent, and that the maximum allowable payback and discounted payback statistics for your company are 3 and 3.5 years, respectively.

Time: 0 1 2 3 4 5
Cash flow: –$235,000 $65,800 $84,000 $141,000 $122,000 $81,200

Use the NPV decision rule to evaluate this project. (Do not round intermediate calculations and round your final answer to 2 decimal places.)

Part 2.  

Suppose your firm is considering investing in a project with the cash flows shown below, that the required rate of return on projects of this risk class is 11 percent, and that the maximum allowable payback and discounted payback statistics for your company are 3 and 3.5 years, respectively.

Time: 0 1 2 3 4 5
Cash flow: –$235,000 $65,800 $84,000 $141,000 $122,000 $81,200

Use the payback decision rule to evaluate this project. (Round your answer to 2 decimal places.)

Part 3.

Suppose your firm is considering investing in a project with the cash flows shown below, that the required rate of return on projects of this risk class is 11 percent, and that the maximum allowable payback and discounted payback statistics for your company are 3 and 3.5 years, respectively.

Time: 0 1 2 3 4 5
Cash flow: –$235,000 $65,800 $84,000 $141,000 $122,000 $81,200

Use the IRR decision rule to evaluate this project. (Do not round intermediate calculations and round your final answer to 2 decimal places.)

Solutions

Expert Solution

Part 1 NPV $   1,24,106.98
Project should be accepted as it has positive NPV.
Working:
Year Cash flow Discount factor Present Value
a b c=1.11^-a d=b*c
0 $       -2,35,000           1.0000 $ -2,35,000.00
1 $             65,800           0.9009 $       59,279.28
2 $             84,000           0.8116 $       68,176.28
3 $         1,41,000           0.7312 $   1,03,097.98
4 $         1,22,000           0.6587 $       80,365.18
5 $             81,200           0.5935 $       48,188.25
NPV $   1,24,106.98
Part 2 Payback Period 2.60 Years
Project Should be accepted as it is within the payback period.
Working:
Year Cash flow Cumulative Cash flow
0 $       -2,35,000 $ -2,35,000
1 $             65,800 $ -1,69,200
2 $             84,000 $     -85,200
3 $         1,41,000 $      55,800
4 $         1,22,000 $   1,77,800
5 $             81,200 $   2,59,000
Payback Period = 2+(85200/141000)
=               2.60
Part 3 IRR 28.79%
Project Should be accepted as IRR is more than required rate of return.
Working:
Year Cash flow
0 $       -2,35,000
1 $             65,800
2 $             84,000
3 $         1,41,000
4 $         1,22,000
5 $             81,200
IRR =irr(B38:B43)
28.79%
Note: B38:B43 is the values of cash flow from year 0 to 5.

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