Question

In: Finance

"A firm is considering purchasing a computer system. The following data has been collected. - Cost...

"A firm is considering purchasing a computer system. The following data has been collected.
- Cost of the system: $180,000
- Project life: 6 years
- Salvage value at the end of year 6: $14,000
- Depreciation method: five-year MACRS
- Tax rate: 21%
- Annual revenue from project: $148,000
- Annual expenses (not including depreciation): $93,000
The firm will borrow the entire $180,000 at 6.4% interest to be repaid in 2 annual payments.
The firm's MARR is 15%. Determine the IRR for the computer system. Enter your answer as a percentage rounded to the nearest tenth of a percent."

Solutions

Expert Solution

cost of system -180000
Annual depreciation
year cost of machine MACRS rate Annual depreciation
1 180000 20% 36000
2 180000 32% 57600
3 180000 19.20% 34560
4 180000 11.52% 20736
5 180000 11.52% 20736
6 180000 5.76% 10368
year 0 1.00% 2 3 4 5 6
cost of machine -180000
annual revenue 148000 148000 148000 148000 148000 148000
annual expense 93000 93000 93000 93000 93000 93000
depreciation 36000 57600 34560 20736 20736 10368
operating profit 19000 -2600 20440 34264 34264 44632
after tax profit = operating profit*(1-tax rate)   15010 -2054 16147.6 27068.56 27068.56 35259.28
add depreciation 36000 57600 34560 20736 20736 10368
after tax sale proceed = sale value*(1-tax rate) 9940
net operating cash flow = after tax profit+ Depreciation +after tax sales value -180000 51010 55546 50707.6 47804.56 47804.56 55567.28
IRR = Using IRR function in MS excel IRR(D2394:J2394) 18.0%

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