In: Finance
H. Cochran, Inc., is considering a new three-year expansion project that requires an initial fixed asset investment of $2,350,000. The fixed asset will be depreciated straight-line to zero over its three-year tax life, after which time it will be worthless. The project is estimated to generate $2,290,000 in annual sales, with costs of $1,310,000. Assume the tax rate is 21 percent and the required return on the project is 10 percent.
What is the project’s NPV?
Time line | 0 | 1 | 2 | 3 | |||
Cost of new machine | -2350000 | ||||||
=Initial Investment outlay | -2350000 | ||||||
100.00% | |||||||
Sales | 2290000 | 2290000 | 2290000 | ||||
Profits | Sales-variable cost | 980000 | 980000 | 980000 | |||
-Depreciation | Cost of equipment/no. of years | -783333.3 | -783333.3 | -783333.3 | 0 | =Salvage Value | |
=Pretax cash flows | 196666.67 | 196666.67 | 196666.67 | ||||
-taxes | =(Pretax cash flows)*(1-tax) | 155366.67 | 155366.67 | 155366.67 | |||
+Depreciation | 783333.33 | 783333.33 | 783333.33 | ||||
=after tax operating cash flow | 938700.00 | 938700.00 | 938700 | ||||
+Tax shield on salvage book value | =Salvage value * tax rate | 0 | |||||
=Terminal year after tax cash flows | 0 | ||||||
Total Cash flow for the period | -2350000 | 938700 | 938700 | 938700 | |||
Discount factor= | (1+discount rate)^corresponding period | 1 | 1.1 | 1.21 | 1.331 | ||
Discounted CF= | Cashflow/discount factor | -2350000 | 853363.64 | 775785.12 | 705259.2 | ||
NPV= | Sum of discounted CF= | -15592.04 |