A corporate jet costs $1,350,000 and will incur $200,000 per year in fixed cost (maintenance, …) and $277 per hour variable cost (fuel, …). The jet will be operated 1200 hours per year for 5 years and then sold for $650,000. The jet revenues $1,000 per hour. The MARR is 15% per year. Determine the Annual Worth (AW) of the jet.
Annual Worth(AW) = (-)Initial Outlay (A/P, MARR, Project life in years) + Annual Net Inflow + Discard value (A/F, MARR, year of discard)
The details given in the questiona are presented below for use in the above formula for AW:
Year | Cost | Fixed Cost | Variable Cost | Revenue | Scrap | Net Flow |
$ | $ | ($277 X 1200 hrs) | ($1000 X 1200 hrs) | $ | $ | |
0 | -1350000 | -1350000 | ||||
1-5 | -200000 | -332400 | 1200000 | 667600 | ||
5 | 650000 | 650000 |
Therefore AW = -1350000(A/P,15%,5)+667600+650000(A/F,15%,5)
[A/P and A/F values are taken from respective compound interest rate tables]
=> AW =( -)1350000(0.2983)+667600+650000(0.1483)
= (-)402,705 + 667,600 + 96,395
= $ 361,290
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