Show manual calculations for the below: 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 monthl

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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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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For the first part, shouldn't ''r' be divided by 12 and 'n' multiplied by 12 seeing that interest is compounded monthly?

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