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Bottoms Up Diaper Service is considering the purchase of a new industrial washer. It can purchase the
washer for $3,600 and sell its old washer for $900. The new washer will last for 6 years and save
$1,100 a year in expenses. The opportunity cost of capital is 20%, 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.
Note: Negative amounts should be indicated by a minus sign.
b. What is project NPV?
Note: 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?
Note: Do not round intermediate calculations. Round your answer to 2 decimal places.
Bottoms Up Diaper Service is considering the purchase of a new industrial washer. It can purchase
the washer for $3,600 and sell its old washer for $900. The new washer will last for 6 years and save
$1,100 a year in expenses. The opportunity cost of capital is 20%, 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.
a.
Annual operating cash flow in year 0
$
(2,889)
a.
Annual operating cash flow in years 1 to 6
$
995
b.
NPV
$
419.88
c.
NPV
$
756.87
Note: Negative amounts should be indicated by a minus sign.
b. What is project NPV?
Note: 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?
Note: Do not round intermediate calculations. Round your answer to 2 decimal places.
Explanation:
Some values below may show as rounded for display purposes, though unrounded numbers should
be used for actual calculations.
a. All values should be interpreted as incremental results from making the purchase.
Net cash flow at time 0 is −
$3,600 + [$900 ×
(1 −
0.21)] = −
$2,889.
b. NPV = −
$2,889 + [$995 ×
annuity factor (20%, 6 years)]
= $419.88
c. Incremental CF in each year is:
Change in Taxable Income
$ 1,100
Increase in Taxes
231
Operating Cash Flow
$ 869
Net cash flow at time 0 is (
−
$3,600 + $900) ×
(1 −
0.21) = −
$2,133
NPV = −
$2,133 + [$869 ×
annuity factor (20%, 6 years)]
= $756.87
$
$
$
$
a.
Annual operating cash flow in year 0
(2,889)
a.
Annual operating cash flow in years 1 to 6
995
b.
NPV
419.88
c.
NPV
756.87
= [
(
Revenues
−
Cash
expenses
)
×
(
1
−
Tax
rate
)
] +
(
Tax
rate
×
Depreciation
)
OCF
Years
1
−
6
=
{
[$0
−
(
−
$1,100
)
]
×
(
1
−
0. 21
)}
+ [0. 21
×
(
)
]
$3,600
6
= $995
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