How do you do this problem using a Ti-84 calculator "apps",
"finance", "TVM Solver."
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Part A.)
I am starting a retirement savings program. I expect to need
$2,000,000 in 40 years I begin with a deposit of $650.00 and then
deposit $450.00 per month at an interest rate of 0.500% per month I
also have a trust fund that will add $20,000 to the fund at the end
of the 7th year What will my monthly deposit need to be, beginning
in year 8, if my return increases to 1.000% per month?
[THE ANSWER IS $295.00 WITHDRAW]
Part B.)
What return is required (%/month) beginning in year 8 if my monthly
deposit remains at $450.00
[THE ANSWER IS 0.7%]
a | Time to retire | 40 | Years |
Time in months | 480.00 | ||
Monthly deposit | 450.00 | ||
Initial deposit | 650.00 | ||
Int rate | 0.50% | ||
Amount needed at year 40 | 2,000,000.00 | ||
FV till year 7 | 45,845.03 | Using 84 periods and 650 as initial deposit and 450 as PMT | |
Amount added in year 7 end | 20,000.00 | ||
Int rate | 1.000% | Per month | |
No of periods | 396.00 | ||
Monthly deposit | -274.96 | So withdraw 275 per month, Using PMT function in Excel | |
b | If deposit remains at 450 | ||
Rate of return required | 0.70% | Using rate function in excel with 33 years remaining and present value as above in year 7 |
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