Madison Manufacturing is considering a new machine that costs
$350,000 and would reduce pre-tax manufacturing costs by $110,000
annually. Madison would use the 3-year MACRS method to depreciate
the machine, and management thinks the machine would have a value
of $33,000 at the end of its 5-year operating life. The applicable
depreciation rates are 33.33%, 44.45%, 14.81%, and 7.41%. Working
capital would increase by $35,000 initially, but it would be
recovered at the end of the project's 5-year life. Madison's
marginal tax rate is 40%, and a 9% cost of capital is appropriate
for the project.
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Calculate the project's NPV, IRR, MIRR, and payback. Do not
round intermediate calculations. Round the monetary value to the
nearest dollar and percentage values and payback to two decimal
places. Negative values, if any, should be indicated by a minus
sign.
NPV: $
IRR: %
MIRR: %
The project's payback: years
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Assume management is unsure about the $110,000 cost savings -
this figure could deviate by as much as plus or minus 20%. Do not
round intermediate calculations. Round your answer to the nearest
dollar. Negative values, if any, should be indicated by a minus
sign.
Calculate the NPV if cost savings value deviate by plus 20%.
$
Calculate the NPV if cost savings value deviate by minus
20%.
$
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Suppose the CFO wants you to do a scenario analysis with
different values for the cost savings, the machine's salvage value,
and the working capital (WC) requirement. She asks you to use the
following probabilities and values in the scenario analysis:
Scenario |
Probability |
Cost Savings |
Salvage Value |
WC |
Worst case |
0.30 |
$ 88,000 |
$28,000 |
$40,000 |
Base case |
0.40 |
110,000 |
33,000 |
35,000 |
Best case |
0.30 |
132,000 |
38,000 |
30,000 |
Calculate the project's expected NPV, its standard deviation,
and its coefficient of variation. Do not round intermediate
calculations. Round the monetary values to the nearest dollar and a
coefficient of variation to two decimal places. Negative values, if
any, should be indicated by a minus sign.
The project's expected NPV: $
Standard deviation: $
Coefficient of variation:
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