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You are planning for a very early retirement
You are planning for a very early retirement. You would like to retire at age 40 and have enough money saved to be able to draw $235,000 per year for the next 30 years? (based on family? history, you think? you'll live to age 70?). You plan to save for retirement by making 10 equal annual installments? (from age 30 to age? 40) into a fairly risky investment fund that you expect will earn 10?% per year. You will leave the money in this fund until it is completely depleted when you are 70 years old.
How does this amount compare to Me total amount you will draw out Ogre investment during retirement? How can these numbers he so dirierew
Over the course of your retirement you will be withdrawing However, by age 40 you only need to have invest.
You need to have Par less accumulated than what you will wandraw because you only wfthdraw a portion of the investment every year—the balance remains invested wherell continues to earn 109, interest o B. You need to have the same accumulated as you will wfthdraw because you will not earn tudher interest on your investment when you reach retirement 0 C. You need to have tar more accumulated than what you will wandraw because you will withdraw a large pod!un of the investment eve, year—the balance remains invested where it continues to eam ID% interest 0 D. None of the above
How rnuch must you pay into the investment each year tor. first ten years, (Hee Your answer from Requirement becomes the -future value of M. annuity) (Round your answer to the nearest whole dollar.)
boMhe first ten years, the amount you must pay into the investment each year is
Expert Solution
1) COmputation of Amount accumulated at Retirement:
Amount accumulated at Retirement = Annual Payment*PVIF (40 years, 10%)
= $235,000 * 11.925
= $2,802,375
2.
Total Withdraw during Retiremnet = $235,000 * 40 = $9,400,000
Over the course of your retirement you will be withdrawing $ 9,400,000 . However by age 40 you only need to have invested $2,802,375.
So, the correct option is "A".
3. Amount to be paid each year for 20 years = Future Value/ Future Value Factor
Here,
Future Value = $2,053,611
Future Value Factor (10%,20) = 57.2750
Amount to be paid each year= $2,802,375/57.2750 = $48,928.42
4.
Twenty year Invetment = $48,928.42 * 20 = $978,568.31 (round off)
So, The Total out of pocket saving amount to $978,568.31
This is far less than invetmnet worth at the end of twenty years and remarkably less than the amount of money you eventually withdraw from the investment.
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