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what is the formula for future value of an ordinary annuity with interest compounded continuously?

19 Feb

A bank pays 10% interest compounded continuously.
what is the future value of a 5 year ordinary annuity with payments of 2000 each?

 
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  1. Redd

    February 19, 2010 at 2:41 am

    FVoa = PMT [((1 + i)^n - 1) / i]

    Where:

    FVoa = Future Value of an Ordinary Annuity
    PMT = Amount of each payment
    i = Interest Rate Per Period
    n = Number of Periods

    FVoa = 2000 [((1 + 0.1)^5 - 1) /0.1]
    = 2000[(1.1)^5 - 1)/0.1]
    = 2000(1.61051 – 1)/0.1
    = 2000(0.61051/0.1)
    = 2000(6.1051)
    = 12,210.20

     
  2. Didn't hire me? Your mistake

    February 19, 2010 at 3:01 am

    Hey, you down there, it’s a continuous annuity bub.