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)?
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if the amount is withdrawn at the end of 8th year (thereby the amount deposited at the 8th year end would earn no interest), the total amount earned as interest is 219.560 - (8*20) =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
Hope this answers your question
Get Answers For Free
Most questions answered within 1 hours.