Siri plans to retire in 5 years with 441,000 dollars in her account, which has an annual return of 15.69 percent. If she receives annual payments of X, with her first payment of X received in 5 years and her last payment of X received in 8 years, then what is X, the amount of each payment?
first we have to copute the future value of 441000 at the end of 5 year. | ||||||
Put in calculator below | ||||||
PV | 441000 | |||||
N | 5 | |||||
I | 15.69% | |||||
PMT | 0 | |||||
Compute FV | ($913,940.02) | |||||
therefore future value = | $913,940.02 | |||||
Now we have to compute X . | ||||||
Set in calculator at BEGIN mode and put below | ||||||
PV | $913,940.02 | |||||
N | 3 | |||||
I | 15.69% | |||||
FV | 0.00 | |||||
Compute PMT | ($349,963.45) | |||||
Therefore payment received= | $349,963.45 | |||||
Note : we have assumed that payment is received till the beginning of the year 8 |
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