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You plan to retire at age 40 after a highly successful but short career.  You would like...

You plan to retire at age 40 after a highly successful but short career.  You would like to accumulate enough money by age 40 to withdraw $200,000 per years for 40 years.  Your account has an interest rate of 5%.  How much do you need to accumulate in your account by the time you retire?

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Answer #1
Amount that needs to be accumulated by the age 40 would be
the present value of an annuity for 40 years
Present Value Of Annuity
= C*[1-(1+i)^-n]/i]
Where,
C= Cash Flow per period
i = interest rate per period
n=number of period
= $200000[ 1-(1+0.05)^-40 /0.05]
= $200000[ 1-(1.05)^-40 /0.05]
= $200000[ (0.858) ] /0.05
= $34,31,817.27
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