Question

The value today of the following cash flows is $5,821.86 at an interest rate of 4.5...

The value today of the following cash flows is $5,821.86 at an interest rate of 4.5 percent. What is the value of the Year 3 cash flow?

Year Cash Flow
1 $ 1,470
2 1,585
3 ?
4 2,180
0 0
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Answer #1

Present value of cash flows=cash flows*Present value of discounting factor(rate%,time period)

5821.86=1470/1.045+1585/1.045^2+Year 3 cash flow/1.045^3+2180/1.045^4

5821.86=4686.194266+Year 3 cash flow/1.045^3

Year 3 cash flow=(5821.86-4686.194266)*1.045^3

which is equal to

=$1295.98(Approx).

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