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Problem 25-01A U3 Company is considering three long-term capital investment proposals. Each investment has a useful...

Problem 25-01A

U3 Company is considering three long-term capital investment proposals. Each investment has a useful life of 5 years. Relevant data on each project are as follows.
Project Bono Project Edge Project Clayton
Capital investment $171,200 $187,250 $208,000
Annual net income:
Year  1 14,980 19,260 28,890
        2 14,980 18,190 24,610
        3 14,980 17,120 22,470
        4 14,980 12,840 13,910
        5 14,980 9,630 12,840
Total $74,900 $77,040 $102,720

Depreciation is computed by the straight-line method with no salvage value. The company’s cost of capital is 15%. (Assume that cash flows occur evenly throughout the year.)

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Compute the cash payback period for each project. (Round answers to 2 decimal places, e.g. 10.50.)
Project Bono enter the cash payback period in years rounded to 2 decimal places years
Project Edge enter the cash payback period in years rounded to 2 decimal places years
Project Clayton enter the cash payback period in years rounded to 2 decimal places years

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Compute the net present value for each project. (Round answers to 0 decimal places, e.g. 125. If the net present value is negative, use either a negative sign preceding the number eg -45 or parentheses eg (45). For calculation purposes, use 5 decimal places as displayed in the factor table provided.)
Project Bono Project Edge Project Clayton
Net present value $enter a dollar amount rounded to 0 decimal places $enter a dollar amount rounded to 0 decimal places $enter a dollar amount rounded to 0 decimal places

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Compute the annual rate of return for each project. (Hint: Use average annual net income in your computation.) (Round answers to 2 decimal places, e.g. 10.50%.)
Project Bono Project Edge Project Clayton
Annual rate of return enter percentages rounded to 2 decimal places % enter percentages rounded to 2 decimal places % enter percentages rounded to 2 decimal places %

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Rank the projects on each of the foregoing bases. Which project do you recommend?
Project Cash Payback Net
Present Value
Annual
Rate of Return
Bono select a ranking number
select a ranking number
select a ranking number
Edge select a ranking number
select a ranking number
select a ranking number
Clayton select a ranking number
select a ranking number
select a ranking number
The best project is select a project
.
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Solutions

Expert Solution

Calculation of payback period for Project Bono
Project Bono Capital investment/Annual cash flow
Annual cash flow
Annual net income $14,980
Add: Depreciation $34,240 171200/5
Annual cash flow $49,220
Project bono 171200/49220
Project bono 3.48 years
calculation of NPV = present value of inflow - present value of outflow
annual cash flow $49220
PVAF @15% ,5 years 3.35215509
present value of cash flow $164993
NPV = $164993-171200 = -6207
Project Edge
Year Net income Depreciation (187250/5) Cash flow Cumulative cash flow discount factor @ 15% Cash flow X dicounted factor
0 -$187,250 1 -187250
1 $19,260 $37,450 $56,710 56710 0.86957 49313
2 $18,190 $37,450 $55,640 112350 0.75614 42072
3 $17,120 $37,450 $54,570 166920 0.65751 35880
4 $12,840 $37,450 $50,290 217210 0.57175 28753
5 $9,630 $37,450 $47,080 264290 0.497176 23407
total inflow= 179425
Payback period 3 years + (187250-166920)/50290 NPV = 179425-187250= $-7825
Payback period 3.40 years
Project Clayton
Year Net income Depreciation (208000/5) Cash flow Cumulative cash flow discount factor @ 15% Cash flow X dicounted factor
0 -$208,000 1 -208000
1 $28,890 $41,600 $70490 $70490 0.86957 64426
2 $24,610 $41,600 $66210 $120650 0.75614 50064
3 $22,470 $41,600 $64070 $184720 0.65751 42127
4 $13,910 $41,600 $55510 $240230 0.57175 31738
5 $12,840 $41,600 $54440 $294670 0.497176 27066
Total inflow =215421
Payback period 3 years + (23280/55510) NPV = 215421-208000= $7421
Payback period 3.42 years
Annual rate of return Average annual net income/Average investment
Project Bono
Annual rate of return (74900/5)/((171200+0)/2)
Annual rate of return 14980/85600
Annual rate of return 17.50%
Project Edge
Annual rate of return (77040/5)/((187250+0)/2)
Annual rate of return 15408/93625
Annual rate of return 16.46%
Project Clayton
Annual rate of return (102720/5)/((208000+0)/2)
Annual rate of return 20544/104000
Annual rate of return 19.75%
Ranking of project
Cash payback Net present value Annual rate of return
Bono 3 2 2
Edge 1 3 3
Clayton 2 1 1

The best project is Clayton because

npv and annual rate of return is more as compare to bono and edge


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