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# Deferred Retirement Acct.

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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.

Sep 29, 2018
edited by Guest  Sep 29, 2018

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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.

Sep 30, 2018