Pique Corporation wants to purchase a new machine for $294,000. Management predicts that the machine can produce sales of $203,000 each year for the next 5 years. Expenses are expected to include direct materials, direct labor, and factory overhead (excluding depreciation) totaling $68,000 per year. The firm uses straight-line depreciation with no residual value for all depreciable assets. Pique's combined income tax rate is 20%. Management requires a minimum after-tax rate of return of 10% on all investments.
What is the net present value (NPV) of the investment, rounded to the nearest whole dollar? (The PV annuity factor for 5 years, 10% is 3.791.) Assume that the cash inflows occur at year-end.
Multiple Choice
($366,554).
$160,010.
$205,502.
$250,994.
None of these.
Sales | 203000 | |
Less:Expenses | 68000 | |
Less: Annual Depreciation | 58800 | =294000/5 |
Income before tax | 76200 | |
Less: Income tax expense | 15240 | =76200*20% |
Annual net income | 60960 | |
Annual net income | 60960 | |
Add: Annual Depreciation | 58800 | |
Annual net cash inflows | 119760 | |
Annual net cash inflows | 119760 | |
X PV annuity factor for 5 years | 3.791 | |
Present value of Annual net cash inflows | 454010 | |
Less: Investment cost | 294000 | |
Net present value (NPV) | 160010 | |
Option B $160,010 is correct |
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