The Fairmont Hotel in San Francisco needs to replace its air conditioning system. There are two alternatives, both of which can do the job equally well:
Machine name | AC 1 | AC 2 |
Purchase price | $40,000 | $60,000 |
Operating cost (end of each year) | $17,000 | $8,000 |
Useful life (years) | 4 | 6 |
Straight line depreciation to zero over (years) | 4 | 6 |
Salvage value at end of useful life | $0 | $0 |
The relevant discount rate is 10% and the marginal tax rate is 35%.
What is the equivalent annual cost for AC 1 (in absolute
terms)?
What is the operating cash flow for AC 2 per year?
What is the equivalent annual cost for AC 2 (in absolute
terms)?
Machine name | AC1 | AC2 |
Purchase price | 40000 | 60000 |
Operating cost per year (A) | 17000 | 8000 |
Depreciation per year | 10000 (40000/4) | 10000(60000/6) |
Tax savings on Depreciation (B) | 3500 (10000x35%) | 3500(10000x35%) |
Cash outflow (A) -( B) | 13500 | 4500 |
Present value annuity factor @10% , for 4 yar and 6 year | 3.169 | 4.354 |
Present value of Cash flow | 42781.5 (13500x3.169) | 19593 |
Total Present value of cash outflow | 82781.5 (40000+42781.5) | 79593 (60000+19593) |
Equalent Annual cost | 26122.27 (82781.5/3.169) | 18280.43 |
Now the answers
EAC of AC1 = 26122.27
Operating Cash flow of AC2 per year = 4500
EAC of AC2 = 18280.43
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