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1. Certain new machinery, when placed in service, is estimated to cost $180,000. It is expected...

1. Certain new machinery, when placed in service, is estimated to cost $180,000. It is expected to reduce net annual operating expenses by $36,000 per year for 10 years and to have a $30,000 MV at the end of the 10th year. Assume that the firm is in the federal taxable income bracket of $335,000 to $10,000,000 and that the state income tax rate is 6%. State income taxes are deductible from federal taxable income. Suppose the machinery had been classified in the 10-year MACRS (GDS) property class. Calculate the new after-tax PW and after-tax IRR. (show the complete cash-flow diagram.)

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Answer #1

Net After Tax Cash Flow

Year Additional cash inflow Tax on additional inflow Net Flow
1 36,000 2,160 33,840
2 36,000 2,160 33,840
3 36,000 2,160 33,840
4 36,000 2,160 33,840
5 36,000 2,160 33,840
6 36,000 2,160 33,840
7 36,000 2,160 33,840
8 36,000 2,160 33,840
9 36,000 2,160 33,840
10 36,000 2,160 33,840
sum 3,60,000 21,600 3,38,400
Add: MV at the end of the 10th year 30,000
Total Inflow 3,68,400
Less: Initial Outflow 1,80,000
Net Total Inflow 1,88,400

Calculation of IRR

= Net Total Inflow / Initial outflow *100

=188400/180000

= 104.667%

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