In: Finance
Suppose that you deposit $391 in a savings account at Prosperity Bank at the end of each of the next 10 months. You plan to leave these contributions and any interest earned in the account until 10 months are up. The interest rate is 6.38% per month. What is the future value of your account at the end of the holding period? Do not round at intermediate steps in your calculation. Round your final answer to the nearest penny. Do not type the $ symbol.
Future Value (FV) of Cash flow: | |||||
(Cash Flow)*((1+i)^N) | |||||
i=interest rate/period =6.38%=0.0638 | |||||
N=Number of periods to the future | |||||
A | N=(10-A) | B | FV=B*(1.0638^N) | ||
MONTH | Number of months to future | Amount of Deposit | Future Value | ||
1 | 9 | 391 | 682.207723 | ||
2 | 8 | 391 | 641.293215 | ||
3 | 7 | 391 | 602.832502 | ||
4 | 6 | 391 | 566.678419 | ||
5 | 5 | 391 | 532.692629 | ||
6 | 4 | 391 | 500.745092 | ||
7 | 3 | 391 | 470.713567 | ||
8 | 2 | 391 | 442.483142 | ||
9 | 1 | 391 | 415.945800 | ||
10 | 0 | 391 | 391.000000 | ||
TOTAL | 5246.592088 | ||||
Future value at the end of holding period | 5246.59 | ||||