In: Finance
Western Tech is considering a new project that will require $118,000 of fixed assets and net working capital of $16,000. The fixed assets will be depreciated on a straight-line basis to a zero salvage value over three years. Ignore bonus depreciation. This project is expected to produce an operating cash flow of $45,000 the first year with that amount decreasing by 5 percent annually for two years before the project is shut down. The fixed assets can be sold for $55,000 at the end of the project and all net working capital will be recovered. What is the net present value of this project at a discount rate of 11.5 percent and a tax rate of 23 percent? Multiple Choice −$3,770.30 −$5,456.32 $3,209.17 $12,136.54 $15,311.09
Time line | 0 | 1 | 2 | 3 | |||
Cost of new machine | -118000 | ||||||
Initial working capital | -16000 | ||||||
=Initial Investment outlay | -134000 | ||||||
100.00% | |||||||
Depreciation | Cost of equipment/no. of years | -39333.33 | -39333.33 | -39333.33 | 0 | =Salvage Value | |
=after tax operating cash flow | 45000 | 42750 | 40612.5 | ||||
reversal of working capital | 16000 | ||||||
+Proceeds from sale of equipment after tax | =selling price* ( 1 -tax rate) | 42350 | |||||
+Tax shield on salvage book value | =Salvage value * tax rate | 0 | |||||
=Terminal year after tax cash flows | 58350 | ||||||
Total Cash flow for the period | -134000 | 45000 | 42750 | 98962.5 | |||
Discount factor= | (1+discount rate)^corresponding period | 1 | 1.115 | 1.243225 | 1.3861959 | ||
Discounted CF= | Cashflow/discount factor | -134000 | 40358.744 | 34386.374 | 71391.426 | ||
NPV= | Sum of discounted CF= | 12136.54 |