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3. Madison Manufacturing is considering a new machine that costs $450,000 and would reduce pre-tax manufacturing costs by $120,000 annually. Madison would use the 3-year

3. Madison Manufacturing is considering a new machine that costs $450,000 and would reduce pre-tax manufacturing costs by $120,000 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 projects 5-year life. Madisons marginal tax rate is 40%, and a 10% WACC is appropriate for the project.
a. Calculate the projects NPV, IRR, MIRR, and payback.
Input Data
Machine cost
Net working capital
Cost savings
Salvage value
Tax rate
WACC
Depreciation Schedule
Years
1 2 3 4
Depreciation rate
Depreciation
Remaining Book Value
Salvage CF
Salvage value
Book value
Tax on salvage value
Salvage CF
Cash Flow Forecast
Years
0 1 2 3 4 5
Machine cost
Net working capital
Before-tax savings
Depreciation
EBIT
Taxes
EBIT(1-T)
Add depreciation
Net Operating CF
Return of NWC
Salvage CF
Net Cash Flow
Key Result
NPV =
IRR =
MIRR =
Cumulative CF
Payback =
b. Assume management is unsure about the $120,000 cost savingsthis figure could deviate by as much as plus or minus 20%. What would the NPV be under each of these extremes?
% Deviation NPV
Cost savings
20%
-20%
c. Suppose the CFO wants you to do a scenario analysis with different values for the cost savings, the machines 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 0.35 $88,000 $28,000 $40,000
Base case 0.35 120,000 33,000 35,000
Best case 0.3 132,000 38,000 30,000
Calculate the projects expected NPV, its standard deviation, and its coefficient of variation. Would you recommend that the project be accepted?
Scenario Probability NPV
Worst case
Base case
Best case
Expected NPV =
Standard Deviation =
Coefficient of Variation =

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