You are starting a family pizza parlor and need to buy a motorcycle for delivery orders. You have two models in mind. Model A costs $8,200 and is expected to run for 7 years; Model B is more expensive, with a price of $13,600, and has an expected life of 9 years. The annual maintenance costs are $760 for Model A and $740 for Model B. Assume that the opportunity cost of capital is 9 percent. Calculate equivalent annual costs (EAC) of each models.

Respuesta :

The equivalent annual costs of each model are as follows:

                                                Model A       Model B

Equivalent annual costs     $2,389.26   $3,008.47

Data and Calculations:

                                              Model A       Model B

Costs of motorcycle              $8,200        $13,600

Expected years of usage      7 years        9 years

Annual maintenance costs    $760          $740

Cost of capital = 9%

Annuity factor                       5.03295        5.99524

PV of annual maintenance  $3,825.04   $4,436.48

Total NPV of costs             $12,025.04  $18,036.48

Equivalent annual costs   $2,389.26  $3,008.47

                          ($12,025.04/5.03295)  ($18,036.48/5.99524)

Thus, the equivalent annual costs of each model are the dividend of the Total NPV costs divided by the Annuity Factor.

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