St. Johns River Shipyards is considering the replacement of an 8-year-old riveting machine with a new one that will increase earnings before depreciation from $27,000 to $56,000 per year. The new machine will cost $85,000, and it will have an estimated life of 8 years and no salvage value. The new riveting machine is eligible for 100% bonus depreciation at the time of purchase. The applicable corporate tax rate is 25%, and the firm's WACC is 18%. The old machine has been fully depreciated and has no salvage value.
What is the NPV of the project? Negative value, if any, should
be indicated by a minus sign. Round your answer to the nearest
cent.
$
Should the old riveting machine be replaced by the new
one?
-Select-Yes or No
Statement showing NPV
Particulars | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | NPV = Sum of PV |
Cost of new Machine | -85000 | |||||||||
Tax shield on depreciation (85000 x 100% x 25%) |
21250 | |||||||||
Incremental EBIT (56000-27000) |
29000 | 29000 | 29000 | 29000 | 29000 | 29000 | 29000 | 29000 | ||
Less: tax @ 25% | -7250 | -7250 | -7250 | -7250 | -7250 | -7250 | -7250 | -7250 | ||
PAT/Annual cah flow | 21750 | 21750 | 21750 | 21750 | 21750 | 21750 | 21750 | 21750 | ||
Total cash flow | -63750 | 21750 | 21750 | 21750 | 21750 | 21750 | 21750 | 21750 | 21750 | |
PVIF @ 18% | 1 | 0.8475 | 0.7182 | 0.6086 | 0.5158 | 0.4371 | 0.3704 | 0.3139 | 0.2660 | |
PV | -63750 | 18432 | 15621 | 13238 | 11218 | 9507 | 8057 | 6828 | 5786 | 24937 |
Thus NPV = $24937
Since NPV is positive old riveting machine Should be replaced by the new one
Ans)
1) NPV = $24937
2) Should old riveting machine be replaced by the new one = Yes
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