Quip Corporation wants to purchase a new machine for $300,000. Management predic
ID: 2575857 • Letter: Q
Question
Quip Corporation wants to purchase a new machine for $300,000. Management predicts that the machine will produce sales of $200,000 each year for the next 5 years. Expenses are expected to include direct materials, direct labor, and factory overhead (excluding depreciation) totaling $80,000 per year. The firm uses straight-line depreciation with an assumed residual (salvage) value of $50,000. Quip's combined income tax rate, t, is 40%.
Management requires a minimum after-tax rate of return of 10% on all investments. What is the estimated net present value (NPV) of the proposed investment (rounded to the nearest hundred)? (The PV annuity factor for 10%, 5 years, is 3.791 and for 4 years it is 3.17. The present value $1 factor for 10%, 5 years, is 0.621.) Assume that after-tax cash inflows occur at year-end.
$48,800.
$99,000.
$112,000.
$79,800.
May I please receive a step-by-step answer.
Explanation / Answer
Net Present value = PV of cash inflow - PV of cash outflow PV of cash outflow = $300000 PV of cash inflow $ Net sales 200000 (-) expenses -80000 (-) Depreciation ((300000-50000)/5) -50000 Net income before taxes 70000 Tax expenses @ 40% 28000 Net income 42000 (+) Depreciation 50000 Net cash inflow 92000 PVIFA @ 10% 5 years 3.7908 PV of cash inflow 348755 PV of salvage value ($50000*0.6209) 31045 Total PV of total cash inflow 379800 NPV = $379800-$300000 = $79800