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Bottoms Up Diaper Service is considering the purchase of a new industrial washer. It can purchase the washer for $6,600 and sell its old washer for $2,300. The new washer will last for 6 years and save $1,800 a year in expenses. The opportunity cost of capital is 19%, and the firm’s tax rate is 21%. a. If the firm uses straight-line depreciation over a 6-year life, what are the cash flows of the project in years 0 to 6? The new washer will have zero salvage value after 6 years, and the old washer is fully depreciated. (Negative amounts should be indicated by a minus sign.) b. What is project NPV? (Do not round intermediate calculations. Round your answer to 2 decimal places.) c. What is NPV if the firm investment is entitled to immediate 100% bonus depreciation? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
a)Annual operating cash flow in year 0, Annual operating flow in years 1 to 6
b) NPV
c)NPV
Tax rate | 21.00% | |||||||
Old equipment | ||||||||
WDV | $ - | |||||||
Sale price | $ 2,300 | |||||||
Gain/(Loss), (2300-0) | $ 2,300 | |||||||
Tax benefit | $ 483 | =2300*21% | ||||||
Sale price after tax | $ 1,817 | =2300-483 | ||||||
Cost of new equipment | $ 6,600 | |||||||
Less sale proceed of old equipment | $ (1,817) | |||||||
Net investment | $ 4,783 | |||||||
Depreciation on new equipment | ||||||||
Year | Cost | Dep rate | Depreciation | Depreciation | Tax shield @ 21% | Bonus depreciation | Bonus depreciation | Tax shield @ 21% |
1 | $ 6,600 | 16.67% | =6600*16.67% | $ 1,100 | $ 231.00 | 100% | $ 6,600 | $1,386.00 |
2 | $ 6,600 | 16.67% | =6600*16.67% | $ 1,100 | $ 231.00 | 0% | $ - | |
3 | $ 6,600 | 16.67% | =6600*16.67% | $ 1,100 | $ 231.00 | 0% | $ - | |
4 | $ 6,600 | 16.67% | =6600*16.67% | $ 1,100 | $ 231.00 | 0% | $ - | |
5 | $ 6,600 | 16.67% | =6600*16.67% | $ 1,100 | $ 231.00 | 0% | $ - | |
6 | $ 6,600 | 16.67% | =6600*16.67% | $ 1,100 | $ 231.00 | 0% | $ - | |
After tax value of operating profits | ||||||||
Year | Annual saving | Cost saving | Dep rate | After tax saving | ||||
1 | $ 1,800 | $ 1,800 | =1800*(1-21%) | $ 1,422 | ||||
2 | $ 1,800 | $ 1,800 | =1800*(1-21%) | $ 1,422 | ||||
3 | $ 1,800 | $ 1,800 | =1800*(1-21%) | $ 1,422 | ||||
4 | $ 1,800 | $ 1,800 | =1800*(1-21%) | $ 1,422 | ||||
5 | $ 1,800 | $ 1,800 | =1800*(1-21%) | $ 1,422 | ||||
6 | $ 1,800 | $ 1,800 | =1800*(1-21%) | $ 1,422 | ||||
Total | $ 8,532 | |||||||
Calculation of NPV | 19% | |||||||
Year | Capital commitment | Annual benefit | Dep tax shield | Annual free cashflow | PV factor, 1/(1+r)^time | Total * PV factor | ||
0 | $ (4,783.00) | $ - | $ - | $ (4,783) | 1.00000 | $(4,783.00) | ||
1 | $ 1,422 | $ 231 | $ 1,653 | 0.84034 | $ 1,389.08 | |||
2 | $ 1,422 | $ 231 | $ 1,653 | 0.70616 | $ 1,167.29 | |||
3 | $ 1,422 | $ 231 | $ 1,653 | 0.59342 | $ 980.92 | |||
4 | $ 1,422 | $ 231 | $ 1,653 | 0.49867 | $ 824.30 | |||
5 | $ 1,422 | $ 231 | $ 1,653 | 0.41905 | $ 692.69 | |||
6 | $ - | $ 1,422 | $ 231 | $ 1,653 | 0.35214 | $ 582.09 | ||
NPV | $ 853.36 | |||||||
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