How much money did he have for retirement?

EBK CFIN
6th Edition
ISBN:9781337671743
Author:BESLEY
Publisher:BESLEY
Chapter4: Time Value Of Money
Section: Chapter Questions
Problem 25PROB
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Eugene began to save for his retirement at age 24, and for 12 years he put $ 375 per month into an ordinary annuity at an annual interest rate of 9% compounded monthly. After the 12 years, Eugene was unable to make the monthly contribution of $ 375, so he moved the money from the annuity into another account that earned 5% interest compounded monthly. He left the money in this account for 29 years until he was ready to retire. How much money did he have for retirement?

Expert Solution
Step 1

Future Value of annuity

A= R* (1+rm)n-1rmwhereA - future valueR - periodic paymentr - nominal interest raten - number of paymentsm - compounding period

we can also solve in a spreadsheet.

Step 2

Using formula

A= R* (1+rm)n-1rm= 375 *(1+.0912)12*12 -1.0912= 96641.84

Using spreadsheet

pmt 375  
nominal rate 9%  
12  
12  
FV $96,641.84 FV(B2/B3,B3*B4,-B1)
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