A business manager started his retirement account when he was 30. He regularly deposited $1,000 per month at an average rate of 5% compounded monthly. After 15 years of this, he was transferred to Europe for a period of 5 years in which he was unable to make any payments to his account. When he returned, he resumed his monthly payments to his retirement account, albeit a different amount from the original $1,000 per month for 15 more years. If the interest rate remained at 5% compounded monthly, what would his new monthly payments be in order to attain the savings goal that he originally intended? I need help, please. Thank you very much.

Guest Sep 29, 2018

edited by
Guest
Sep 29, 2018

#1**+1 **

I shall use this online financial calculator to figure this question out.** https://arachnoid.com/finance/**

1- Find the FV of his original plan to save $1,000 per month for 35 years @ 5% comp. monthly:

**FV =$1,136,092.43**

2-Find the FV of all $1,000 payments that he made in the first 15 years or 180 months:

**FV =$267,289.03**

3-While he was in Europe, the above amount in (2) kept earning interest @ 5% comp. monthly. We have to find out how much was it worth in that 5-year period.

**FV =$343,027.76**

4-When he resumed his monthly payments after 5 years, he started with the above balance in (3). Since his original objective was to save $1,136,092.43, then this amount would be the FV. The amount in (3) of $343,027.76 would be his PV, 5% comp. monthly would his interest rate, and 180 months would be his remaining term, then we should be able to solve for his new monthly payments:

**Pmt =$1,537.78 - his new monthly payments to his retirement account.**

Guest Sep 30, 2018