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  • How do I find the amount of time in an annuity fund problem?

    Posted by admin on December 22nd, 2009 and filed under Buy an Annuity | 1 Comment »

    The question is this: you can afford monthly deposits of $200 into an account that pays 5.7% compounded monthly. how long will it be until you have $7,000 to buy a boat?

    I used the formula FV=PMT([(1+i)^n-1]/i) but couldnt figure out how to solve for n. Please help me

    first month 200x.057=11.40 (interest) ……….211.40 (balance)
    second month 211.40x.057=12.05+200 …….. 423.45
    third month 423.45x.057=24.14+200…………. 647.59
    fourth month 647.59x.057=36.91=200 ………… 884.50

    can you see how it goes? keep going like this and you will reach $7000
    I am sure there is a shorter way to find your answer, but you can at least see how this works.

    One Response

    1. Wanda H Says:

      first month 200x.057=11.40 (interest) ……….211.40 (balance)
      second month 211.40x.057=12.05+200 …….. 423.45
      third month 423.45x.057=24.14+200…………. 647.59
      fourth month 647.59x.057=36.91=200 ………… 884.50

      can you see how it goes? keep going like this and you will reach $7000
      I am sure there is a shorter way to find your answer, but you can at least see how this works.
      References :

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