SOLUTION: You have $300,000 saved for retirement. Your account earns 10% interest. How much will you be able to pull out each month, if you want to be able to take withdrawals for 25 years?

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Question 1160111: You have $300,000 saved for retirement. Your account earns 10% interest. How much will you be able to pull out each month, if you want to be able to take withdrawals for 25 years?

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
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Use the general formula  A = .


Here A is the initial amount at the account; W is the monthly withdrawn value; r is the nominal monthly percentage r = 0.1/12; 
presented as a decimal;  p = 1 + r  and n is the number of withdrawing periods (months, in this case).


In this problem,  W is the unknown;  the monthly rate is  r = 0.10/12 = 0.00833,  p = 1 + 0.00833 = 1.00833, the number of payment 
periods (= the number of months) is n = 25*12 = 300.  So


          300000 = .


The factor   is equal to 110;  therefore


           W =  = 2727 dollars  (rounded to the closest lesser dollar).


Thus you will be able to withdraw about $2727 every month during 25 years..

Solved.

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In this site,  there is a group of lessons associated with annuity saving plans and retirement plans.  They are

    - Ordinary Annuity saving plans and geometric progressions
    - Annuity Due saving plans and geometric progressions
    - Solved problems on Ordinary Annuity saving plans
    - Withdrawing a certain amount of money periodically from a compounded saving account (*)
    - Miscellaneous problems on retirement plans

From these lessons,  you can learn the subject and can see many similar solved problems.

The closest lesson to your problem is marked (*) in the list.


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