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rusak2 [61]
2 years ago
12

You are given the following information about equipment that is required for your business. Assume that the equipment will be re

placed as it wears out and that straight-line depreciation to zero is used for each. The required return is 15% and ignore taxes. Machine A has an initial cost of $200,000, an operating cost per year of $15,000, and an expected life of 8 years. Machine B has an initial cost of $300,000, an operating cost per year of $17,500, and an expected life of 10 years. How does the equivalent annual cost of Machine A compare to that of Machine B
Business
1 answer:
s2008m [1.1K]2 years ago
4 0

Answer:

Machine B EAC is $17,705.78 more than Machine A EAC.

Explanation:

First find the present values of the cost of both machines.

Machine A:

= 200,000 + (15,000 * Present value of annuity interest factor, 15%, 8 years)

= 200,000 + ( 15,000 * 4.4873)

= $‭267,309.5‬0

Machine B

= 300,000 + (17,500 * Present value of annuity interest factor, 15%, 10 years)

= 300,000 + 17,500 * 5.0188

= $‭387,829‬

Equivalent Annual cost Machine A:

= [(NPV * Required return) / 1 - (1 + Required return) ^–Number of Periods

=[(267,309.50 * 15%) / 1 - 1.15⁻⁸

= $59,569.95

Equivalent Annual cost Machine B:

= (387,829 * 15%) / (1 - 1.15⁻¹⁰)

= $77,275.73

Difference:

= 77,275.73 - 59,569.95

= $‭17,705.78‬

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