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Assume you deposit $4,800 at the end of each year into an account paying 11.5 percent interest a. How much money will you hav
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Answer #1

Answer a.

Annual deposit = $4,800
Interest rate = 11.50%
Period = 25 years

Future value = $4,800/1.115^24 + $4,800/1.115^23 + …. + $4,800/1.115 + $4,800
Future value = $4,800 * (1 - (1/1.115)^25) / 0.115
Future value = $4,800 * 8.123607
Future value = $38,993.31

Answer b.

Annual deposit = $4,800
Interest rate = 11.50%
Period = 50 years

Future value = $4,800/1.115^49 + $4,800/1.115^48 + …. + $4,800/1.115 + $4,800
Future value = $4,800 * (1 - (1/1.115)^50) / 0.115
Future value = $4,800 * 8.658020
Future value = $41,558.50

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