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.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 23P
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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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