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Compute the future values of the following first assuming that payments are made

ID: 2705636 • Letter: C

Question

Compute the future values of the following first assuming that payments are made on the last day of the period and then assuming payments are made on the first day of the period:


Payment         Years   Interest Rate             

$123                13                    13%

$4555              8                      8%

$74484            10                    10

$167332          9                      1

What is the Future Value for each payment made on the first day of period?

What is the Future Value for each payment made on the last day of period?

Explanation / Answer

Payment         Years   Interest Rate             

$123                13                    13%

      FV = $123(FVIFA 13%/1, 13(1)) = $3,688.12


       FV = $123(FVIFA 13%/1, 13(1))(1 + .13/1) = $4,167.57

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Payment         Years   Interest Rate             

$4555              8                      8%

FV = $4,555(FVIFA 8%/1, 8(1)) = $48,449.84


    FV = $4,555(FVIFA 8%/1, 8(1))(1 + .08/1) = $52,325.83

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Payment         Years   Interest Rate             

$74484            10                    10

FV = $74,484(FVIFA 10%/1, 5(1)) = $454,732.27


FV = $74,484(FVIFA 10%/1, 5(1))(1 + .10/1) = $500,205.50

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Payment         Years   Interest Rate             

$167332          9                      1

FV = $167,332(FVIFA 1%/1, 9(1)) = $1,567,654.40


       FV = $167,332(FVIFA 1%/1, 9(1))(1 + .01/1) = $1,583,330.95

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