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Joe Downey is currently 65 years of age. He is currently drawing $20,000 a year out of his IRA. He expects to live to 100 and wants to know what he needs now to insure himself that he will be able to draw the $20,000 at the beginning of each year for the next 35 years. He believes the account will earn 6 percent compounded annually for the next 35 years. How much money does he need in his account today?

Respuesta :

Manetho

Answer:

$307,382.82

Explanation:

current age = 65 years

Requires $20,000 at the beginning of the year for the next 35 years.

interest rate = 6%

So, initial investment = PV of all the inflows

= $20,000+ 20,000×PV×( 6%, 35% years)

=$20,000+ 20,000×14.3681

= $20,000+ 287,362.82= $307,382.82

So, he must invest $307,382.82 to get $20,000 every year.

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