Question

1. Based on the data below, what is the NPW of Plan B? Plan A Plan B Initial cost $12,500 $8,900 Annual benefit $6,800 $2,000
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Answer #1

The life of the plans given in this question is not equal. Hence, we have to use the common multiple method to convert the unequal life into equal life. The LCM of 2 years of Plan A and 3 years of Plan B is 6 years. Therefore, the common life will be 6 years. The Plan B is to be repeated two times to make its life equal to common life.

Plan B

Initial cost = 8,900

Annual benefits = 2,000

Salvage value = 8,900

MARR = 8%

NPW = -8,900 - (8,900 - 8,900) (P/F, 8%, 3) + 2,000 (P/A, 8%, 6) + 8,900 (P/F, 8%, 6)

NPW = -8,900 + 0 + 2,000 (4.62288) + 8,900 (0.63017)

NPW = 5,954.27

The closest answer will be $5,954.78

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