unsolved question

Discussion in 'CT1' started by Tejas Shah, Sep 15, 2010.

  1. Tejas Shah

    Tejas Shah Member

    A discounts electronic store advertises the foll. arrangement : "We dont offer you confusing interest rates. We'll just divide your total cost by 10 & you can pay us that amount each month for a year ". The first payment is due on the date of sale & the remaining 11 payments at monthly intervals thereafter. Calculate the effective annual interest rate the store's consumer are paying on there loans????

    pls solve
     
  2. maz1987

    maz1987 Member

    Let C be the monthly payment. The PV of the item is 10C.

    The PV of the payments is the total annual sum, 12C, multiplied by an annuity-due, paid 12-thly, for 1 year.

    So you have to solve the equation:

    10C = 12C x :a(12)1¬

    where :a(12)1¬ is an annuity-due, paid 12-thly, for 1 time unit.

    Solve the equation for i. I'm at work so I can't solve it now. But that should get you started.
     

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