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Bottoms Up Diaper Service is considering the purchase of a new industrial washer. It can purchase...

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

Solutions

Expert Solution

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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