Question

3. (a) Consider a payment series of i= 4.9 percent and N-15 years for the depositions ( in 5 PAYMENTS) as shown in the figure
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Answer #1

As the 5 payments are made in 15 years , we assume that the payments are done after every 3 years.

So, the present value at 4.9% rate of interest =

= 4000 + 2000/1.0493 + 2000/1.0496 + 2000/1.0499 + 2000/1.04912 + 2000/1.04915

= 4000 + 1732.62 + 1500.99 + 1300.32 + 1126.48 + 975.88

= $10636.29

So the present value of all the depositions is $10636.29.

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