In: Finance
Delia Landscaping is considering a new 4-year project. The necessary fixed assets will cost $193,000 and be depreciated on a 3-year MACRS and have no salvage value. The MACRS percentages each year are 33.33 percent, 44.45 percent, 14.81 percent, and 7.41 percent, respectively. The project will have annual sales of $130,000, variable costs of $34,900, and fixed costs of $12,800. The project will also require net working capital of $3400 that will be returned at the end of the project. The company has a tax rate of 34 percent and the project's required return is 14 percent. What is the net present value of this project?
A. $16,336
B. $13,314
C. $11,680
D. $14,948
E. $10,706
Time line | 0 | 1 | 2 | 3 | 4 | |
Cost of new machine | -193000 | |||||
Initial working capital | -3400 | |||||
=Initial Investment outlay | -196400 | |||||
3 years MACR rate | 33.33% | 44.45% | 14.81% | 7.41% | ||
Sales | 130000 | 130000 | 130000 | 130000 | ||
Profits | Sales-variable cost | 95100 | 95100 | 95100 | 95100 | |
Fixed cost | -12800 | -12800 | -12800 | -12800 | ||
Operating cost | 0 | 0 | 0 | 0 | ||
-Depreciation | =Cost of machine*MACR% | -64326.9 | -85788.5 | -28583.3 | -14301.3 | |
=Pretax cash flows | 17973.1 | -3488.5 | 53716.7 | 67998.7 | ||
-taxes | =(Pretax cash flows)*(1-tax) | 11862.246 | -2302.41 | 35453.022 | 44879.142 | |
+Depreciation | 64326.9 | 85788.5 | 28583.3 | 14301.3 | ||
=after tax operating cash flow | 76189.146 | 83486.09 | 64036.322 | 59180.442 | ||
reversal of working capital | 3400 | |||||
+Tax shield on salvage book value | =Salvage value * tax rate | 0 | ||||
=Terminal year after tax cash flows | 3400 | |||||
Total Cash flow for the period | -196400 | 76189.146 | 83486.09 | 64036.322 | 62580.442 | |
Discount factor= | (1+discount rate)^corresponding period | 1 | 1.14 | 1.2996 | 1.481544 | 1.6889602 |
Discounted CF= | Cashflow/discount factor | -196400 | 66832.584 | 64239.8353 | 43222.693 | 37052.645 |
NPV= | Sum of discounted CF= | 14947.7584 |
answer is D