In: Finance
"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."
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% |