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You have 2 0 years left for your retirement. You wish to accumulate a sum large enough by that time which will allow you an

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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