Keiper,
Inc., is considering a new three-year expansion project that requires
an initial fixed asset investment of $2.49 million. The fixed asset will
be depreciated straight-line to zero over its three-year tax life,
after which time it will be worthless. The project is estimated to
generate $2,010,000 in annual sales, with costs of $705,000. The tax
rate is 34 percent and the required return on the project is 16 percent.
What is the project’s NPV? (Round your answer to 2 decimal places. (e.g., 32.16))
Explanation:
Using
the tax shield approach to calculating OCF (Remember the approach is
irrelevant; the final answer will be the same no matter which of the
four methods you use.), we get:
|
OCF = (Sales − Costs)(1 − T) + T(Depreciation) |
OCF = ($2,010,000 − 705,000)(1 − 0.34) + 0.34($2,490,000/3) |
OCF = $1,143,500 |
Since
we have the OCF, we can find the NPV as the initial cash outlay plus
the PV of the OCFs, which are an annuity, so the NPV is:
|
NPV = −$2,490,000 + $1,143,500(PVIFA16%,3) |
NPV = $78,174.69 |
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