Question

In: Finance

You deposit $1437.46 in an account today. You will deposit $547.45 at the end of each...

You deposit $1437.46 in an account today. You will deposit $547.45 at the end of each month for the next 14 months and $990.78 each month for the following 12 months. How much interest will you have earned in 26 months if the account pays 20% compounded monthly?


Solutions

Expert Solution

Month Beginning balance Interest Contribution Ending balance
0 $ 1,437.4600 $   1,437.4600
1 $   1,437.4600 $         23.9577 $    547.5000 $   2,008.9177
2 $   2,008.9177 $         33.4820 $    547.5000 $   2,589.8996
3 $   2,589.8996 $         43.1650 $    547.5000 $   3,180.5646
4 $   3,180.5646 $         53.0094 $    547.5000 $   3,781.0740
5 $   3,781.0740 $         63.0179 $    547.5000 $   4,391.5919
6 $   4,391.5919 $         73.1932 $    547.5000 $   5,012.2851
7 $   5,012.2851 $         83.5381 $    547.5000 $   5,643.3232
8 $   5,643.3232 $         94.0554 $    547.5000 $   6,284.8786
9 $   6,284.8786 $      104.7480 $    547.5000 $   6,937.1266
10 $   6,937.1266 $      115.6188 $    547.5000 $   7,600.2454
11 $   7,600.2454 $      126.6708 $    547.5000 $   8,274.4161
12 $   8,274.4161 $      137.9069 $    547.5000 $   8,959.8230
13 $   8,959.8230 $      149.3304 $    547.5000 $   9,656.6534
14 $   9,656.6534 $      160.9442 $    547.5000 $ 10,365.0977
15 $ 10,365.0977 $      172.7516 $    990.7800 $ 11,528.6293
16 $ 11,528.6293 $      192.1438 $    990.7800 $ 12,711.5531
17 $ 12,711.5531 $      211.8592 $    990.7800 $ 13,914.1923
18 $ 13,914.1923 $      231.9032 $    990.7800 $ 15,136.8755
19 $ 15,136.8755 $      252.2813 $    990.7800 $ 16,379.9368
20 $ 16,379.9368 $      272.9989 $    990.7800 $ 17,643.7157
21 $ 17,643.7157 $      294.0619 $    990.7800 $ 18,928.5577
22 $ 18,928.5577 $      315.4760 $    990.7800 $ 20,234.8136
23 $ 20,234.8136 $      337.2469 $    990.7800 $ 21,562.8405
24 $ 21,562.8405 $      359.3807 $    990.7800 $ 22,913.0012
25 $ 22,913.0012 $      381.8834 $    990.7800 $ 24,285.6645
26 $ 24,285.6645 $      404.7611 $    990.7800 $ 25,681.2056
Total $   4,689.3856

Total interest earned is $4,689.3856

Please rate.


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