Question

3. Future Value of a Uniform Series The procedure for finding the future value of a series of payments is simplified if the payment are equal. Then, the future value of a uniform series of payments can be determined by a formula. a. V5 = 5,000/USFVO. 08,5). Explain to a layperson, the meaning of this formula. b. Assuming that the conversion factor for i-0.08 and N-5 is 5.867; find the future value of this series of payments.

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Answer #1

a.

V5 = 5,000 [USFV 0.08, 5]

V5 is value of uniform deposits in year 5 which is same as multiplication of amount of deposit and future value interest factor for annuity.

5,000 is the amount of deposit

0.08 is the rate of interest and No. of years is 5

The value in the bracket is the US future value interest factor for 5 years at rate of 8 %.

b.

FV = $ 5,000 x FVIF (0.08, 5)

     = $ 5,000 x 5.876

     = $ 29,335

Future value of series of payments is $ 29,335

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