You are considering a new product launch. The project will cost $630,000, have a
ID: 2751431 • Letter: Y
Question
You are considering a new product launch. The project will cost $630,000, have a 5-year life, and have no salvage value; depreciation is straight-line to zero. Sales are projected at 160 units per year, price per unit will be $24,000, variable cost per unit will be $12,000, and fixed costs will be $283,000 per year. The required return is 12 percent and the relevant tax rate is 34 percent. Based on your experience, you think the unit sales, variable cost, and fixed cost projections given here are probably accurate to within ±9 percent. What is the worst case NPV? Show your calculations!
Explanation / Answer
Calculation of NPV of the project in worst-case scenario:
Year
Cash Flow (CF)
PVF (12%)
PV = CF *PVF
Sales units = 160 *(1-9%)
145.60
Sales Revenue = 145.6 units * $24000 * (1-9%)
$ 3,179,904.00
Less: variable costs = 145.6 units * $12000 * (1+9%)
$ (1,904,448.00)
Less: Fixed Costs = $283000 * (1+9%)
$ (308,470.00)
Less: Depreciation = $630000 / 5
$ (126,000.00)
Profit before tax (A)
$ 840,986.00
Less: Tax = A*34%
$ (285,935.24)
Profit after tax
$ 555,050.76
Add: Depreciation
$ 126,000.00
Cash Flows After tax
$ 681,050.76
1 to 5
$ 681,050.76
4.96764
$ 3,383,214.84
Initial Cost of Project
0
$ (630,000.00)
1.00000
$ (630,000.00)
Net Present Value
$ 2,753,214.84
Calculation of NPV of the project in worst-case scenario:
Year
Cash Flow (CF)
PVF (12%)
PV = CF *PVF
Sales units = 160 *(1-9%)
145.60
Sales Revenue = 145.6 units * $24000 * (1-9%)
$ 3,179,904.00
Less: variable costs = 145.6 units * $12000 * (1+9%)
$ (1,904,448.00)
Less: Fixed Costs = $283000 * (1+9%)
$ (308,470.00)
Less: Depreciation = $630000 / 5
$ (126,000.00)
Profit before tax (A)
$ 840,986.00
Less: Tax = A*34%
$ (285,935.24)
Profit after tax
$ 555,050.76
Add: Depreciation
$ 126,000.00
Cash Flows After tax
$ 681,050.76
1 to 5
$ 681,050.76
4.96764
$ 3,383,214.84
Initial Cost of Project
0
$ (630,000.00)
1.00000
$ (630,000.00)
Net Present Value
$ 2,753,214.84
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