In: Finance
Consider the mutually exclusive alternatives given in the table below. MARR is 5 % per year. Assuming repeatability, what is the equivalent annual worth of the most profitable alternative? (Do not enter the dollar sign $ with your answer.)
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X Y Z
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Capital investment $50,000 $25,000 $40,000
Annual savings $15,000 $8,000 $12,000
Useful life (years) 10 15 20
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Alternatives | Year | Annual Savings | PV@ 5% | Disc. Savings |
X | 1 to 10 | 15,000 | 7.7217 | 1,15,825.50 |
Disc. Cash inflows = | 1,15,825.50 | |||
Initial investment = | 50,000.00 | |||
NPV = | 65,825.50 | |||
EAW = | NPV/PVAF = 65,826/7.7217 | |||
EAW = | 8,525.00 | |||
Y | 1 to 15 | 8,000 | 10.3796 | 83036.8 |
Disc. Cash inflows = | 83036.8 | |||
Initial investment = | 25,000 | |||
NPV = | 58,037 | |||
EAW = | NPV/PVAF = 58,037/10.3796 | |||
EAW = | 5,591 | |||
Z | 1 to 20 | 12,000 | 12.4622 | 149546.4 |
Disc. Cash inflows = | 149546.4 | |||
Initial investment = | 40,000 | |||
NPV = | 1,09,546 | |||
EAW = | NPV/PVAF = 1,09,546/12.4622 | |||
EAW = | 8,790 | |||
Since Equivalent annual worth(EAW) of alternative Z is higher, it is most profitable |