Question

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 13% cost of capital is appropriate for the project. Calculate the project's NPV. Round your answer to the nearest dollar. $ Calculate the project's IRR. Round your answer to two decimal places.      % Calculate the project's MIRR. Round your answer to two decimal places.      % Calculate the project's payback. Round your answer to two decimal places.      Assume management is unsure about the $110,000 cost savings - this figure could deviate by as much as plus or minus 20%. Calculate the NPV if cost savings value deviates by plus 20%. Round your answer to the nearest dollar. $ Calculate the NPV if cost savings value deviates by minus 20%. Round your answer to the nearest dollar. $ 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 0.25 $  88,000 $28,000 $40,000 Base case 0.45 110,000 33,000 35,000 Best case 0.30 132,000 38,000 30,000 Calculate the project's expected NPV. Round your answer to the nearest dollar. $ Calculate the project's standard deviation. Round your answer to the nearest dollar. Calculate the project's coefficient of variation. Round your answer to two decimal places.

Answer 1

First we compute the operating cash flows

OCF		MACRS 3 year
Year	Cash flows	Depreciation	EBIT	Tax	PAT	OCF
1	110000	-116655	-6655	2662	-3993	1E+05
2	110000	-155575	-45575	18230	-27345	1E+05
3	110000	-51835	58165	-23266	34899	86734
4	110000	-25935	84065	-33626	50439	76374
5	110000	0	110000	-44000	66000	66000

Salvage value after tax of the machine

Salvage
Purchase price	350000
Less: Depreciation	-350000
Closing book value	0
Selling price	33000
Gain/(loss)	33000
Tax/ Saving	-13200
Net salvage	19800

Net Cash flows are as below

Year	Initial cash flow	OCF	Working capital	Salvage	Net cash flows
0	-350000		-35000		-385000
1		$112,662.00			112662
2		$128,230.00			128230
3		$86,734.00			86734
4		$76,374.00			76374
5		$66,000.00	35000	19800	120800

We compute the following using excel formulae as shown in the image

1: NPV = -12358.20

2: IRR = 11.64%

3: MIRR = 12.27%

4: Payback = 3 + (385000-(112662+128230+ 86734))/76374

=3.75

WORKINGS