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Consider the accompanying cash flow diagram. Compute the equivalent annual worth at i= 10 % 6. $5,000 $6,000 $4,000 $3,000 2
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Answer #1

Equivalent annual worth = Net present worth × Capital Recovery factor

At first, the net present worth of the cash flows should be determined. The NPW is calculated as follows : -

NPW = - $ 3000 (P/F , 10% , 1 year) + $ 3000 ( P/A , 10% , 4 years) × (P/F , 10% , 2 years) + $ 1000 ( P/G , 10% , 4 years) × (P/F , 10% , 2 years)

NPW = - $ 3000 × 0.9091 + $ 3000 × 3.1699 × 0.8264 + $ 1000 × 4.3781 × 0.8264

NPW = $ 8749.57792

Equivalent annual worth = NPW × ( A/P , 10% , 6 years)

Equivalent annual worth = $ 8749.57792 × 0.2296

Equivalent annual worth = $ 2009

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