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How to calculate interest rate from annuity formula

Forums › ACCA Forums › ACCA AFM Advanced Financial Management Forums › How to calculate interest rate from annuity formula

  • This topic has 1 reply, 2 voices, and was last updated 11 years ago by John Moffat.
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  • September 23, 2013 at 11:27 am #141055
    Kay
    Member
    • Topics: 5
    • Replies: 2
    • ☆

    Eg: a person has to pay 10 annuities of $500 at the end of each year.
    The PV of the loan is $ 3500

    The formula for annuity is PV = Annuity x [1 – (1 + i)^-n] / i

    How can we calculate the implicit interest rate on the loan?

    February 6, 2014 at 5:30 am #155357
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54682
    • ☆☆☆☆☆

    You do not need to use the formula. Just use the annuity tables backwards.

    To get a PV of 3500, the annuity factor has to be 7.
    Look along the 10 year row in the tables and see which rate of interest gives an annuity factor closest to 7.

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