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We are evaluating a project that costs $972,000, has a four-year life, and has n

ID: 2501254 • Letter: W

Question

We are evaluating a project that costs $972,000, has a four-year life, and has no salvage value. Assume that depreciation is straight-line to zero over the life of the project. Sales are projected at 88,800 units per year. Price per unit is $35,15, variable cost per unit is $21.40, and fixed cost are $768,000 per year. The tax rate is 35 percent, and we required a return of 13 percent on this project. Suppose the projections given for price, quality, variable costs, and fixed costs are all accurate to within plusminus percent. Calculate the best-case and worst-case NPV figures.

Explanation / Answer

Net present value of project = Present value of cash Inflow - Present value of cash outflow

Present value of cash outflow

Particulars

(at Y= 0) Amount

Cash outflow

972000

PVF (Y=0)

1

Present value of cash outflow

972000

Present value of cash In flow

Particulars

BEST CASE

WORST CASE

Sale units

97680

79920

Sale price

38.665

31.635

Cost

23.54

19.26

Contribution per unit

15.125

12.375

Contribution (in $)

1477410

989010

Less- FIXED COST

864600

707400

Net Profit

612810

281610

Add- tax saving due to depreciation

85050

85050

Net cash inflow

697860

366660

Cumulative PVF (13%, 4 years)

2.9745

2.9745

Present value of cash inflow

2075785

1090630

Less- Present value of cash outflow

972000

972000

Net present value

1103785

118630

Particulars

(at Y= 0) Amount

Cash outflow

972000

PVF (Y=0)

1

Present value of cash outflow

972000

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