You have 20 years left for your retirement. You wish to accumulate a sum large enough by that time which will allow you an annual withdrawal of $100,000 every year for 30 years. The average interest rate between now and the 20th year is likely to be 4% p.a. From then onwards, for the next 30 years, it is likely to be 6% p.a. How much should you save in an interest-bearing account at the end of each month to be able to have enough money at the time of retirement which will allow you your desired withdrawal of $100,000 every year for 30 years after retirement? Assume that the interest in the interest-bearing account is compounded monthly.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 56SE: To get the best loan rates available, the Riches want to save enough money to place 20% down on a...
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You have 20 years left for your retirement. You wish to accumulate a sum large enough by that time which will allow you an annual withdrawal of $100,000 every year for 30 years. The average interest rate between now and the 20th year is likely to be 4% p.a. From then onwards, for the next 30 years, it is likely to be 6% p.a.

How much should you save in an interest-bearing account at the end of each month to be able to have enough money at the time of retirement which will allow you your desired withdrawal of $100,000 every year for 30 years after retirement? Assume that the interest in the interest-bearing account is compounded monthly.

 

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