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Iterative Backwards Calculation

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    Question Iterative Backwards Calculation

    I have a lump sum amount (L), specified number of years (n) and an interest rate (i). How do I calculate what is the annual withdrawl that draws down the account to zero?

    i.e.

    Lump Sum 60K, 3 years, interest rate 4%

    (A) BOY Balance Year 1 = 60K (L) - withdrawl (W)
    EOY Balance Year 1 = A * i

    BOY Year 2 = (A* i) - W
    EOY Balance Year 2 = ((A * i) - W) * i

    BOY Year 3 = 0 [...since the account will have drawn its last withdrawl]

    But the iteration is dependent on the number of years. So 3 years equals an equal annual withdrawl of approximately 20,789.34. However 4 years would yield a smaller number.

    I can't seem to calculate what the equal annual withdrawl would be within excel since it obviously requires an iterative calculation to sum zero in the final year.

    Thanks in advance.

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    Re: Iterative Backwards Calculation

    Quote Originally Posted by bgerald View Post
    I have a lump sum amount (L), specified number of years (n) and an interest rate (i). How do I calculate what is the annual withdrawl that draws down the account to zero? i.e. Lump Sum 60K, 3 years, interest rate 4%
    Ostensibly:

    =PMT(4%,3,-60000,0,1)

    That returns the result you expect, namely about 20,789.34. But that presumes withdrawals are at the beginning of each year.
    Last edited by joeu2004; 12-08-2014 at 01:38 PM. Reason: cosmetic

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    Re: Iterative Backwards Calculation

    When I ran that formula as you provided, it yielded 21,620.59?

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    Re: Iterative Backwards Calculation

    I forgot the extra zero in the fourth field of the formula. That works and thank you for the help!

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