Question

In: Finance

Assume you put $500 per month into a retirement account for 13 years, and the account...

Assume you put $500 per month into a retirement account for 13 years, and the account has an APR of 3.06% compounded monthly.

What is the account balance at the end of the 13 years? Round your answer to the nearest cent.

How much of the money in the account at the end of the 13 years is your personal investment, meaning that the money came directly from you?

How much of the money in the account at the end of the 13 years is interest?

What percentage of the account balance after 13 years is interest? Round your percentage to one decimal place.

Solutions

Expert Solution

Ans a) account balance at the end of the 13 years
Put in calculator
PV 0
PMT -500
I 3.06%/12 0.255%
N 13*12 156
compute FV $95,645.64
ans = $95,645.64
Ans b)
money came directly from you
500*156 $        78,000
ans = $        78,000
Ans c) Interst amount = $17,645.64
95645.64-78000
ans = $17,645.64
Ans d) % of interest = 18.4%
17645.64/95645.64
ans = 18.4%

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