Question

In: Finance

Consider the mutually exclusive alternatives given in the table below. MARR is 5 % per year....

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.)

                _____________________________________________________________

                                                                 X                     Y                        Z

                _____________________________________________________________

                Capital investment             $50,000            $25,000          $40,000

                Annual savings                  $15,000           $8,000           $12,000

                Useful life (years)                10                   15                 20

                _____________________________________________________________________________

Solutions

Expert Solution

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

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