Question

You invest $20 at the end of each year for the next 8 years at the...

You invest $20 at the end of each year for the next 8 years at the annual rate of 7%. How much interest results from compounding (in dollars)?

Homework Answers

Answer #1

Answer> Please refer to the table below:

Year Investment Beggining of year balance interest @ 7% End of year Balance

0

20 0 0

20

1

20 20 1.4 41.4
2 20 41.4 2.898

64.298

3

20

64.298 4.501 88.799
4 20 88.799 6.216 115.015
5 20 115.015 8.051 143.066
6 20 143.066 10.014 173.081
7

20

173.081 12.115 205.196
8 0 205.196 14.364 219.560

As seen from the year by year calculation made above,

if the amount is withdrawn at the end of 8th year (thereby the amount deposited at the 8th year end would earn no interest), the total amount earned as interest is 219.560 - (8*20) = 219.560 - 160 = 59.560

Hence the total interest resulted is $59.56

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