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loan rates?

Written By: aaren on May 3, 2009 One Comment

Yvette takes out a conventional loan to buy a car. The interest rate is 6.2% compounded monthly and Yvette has five years to repay the 00 she borrowed. What are Yvettes payments?

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One Response to “loan rates?”

  1. Jim Burnell on: 3 May 2009 at 12:06 am

    The formula I found for this is:

    P = Cr(1 + r)ⁿ/[(1 + r)ⁿ - 1]

    where C is the amount of the loan ($9600), r is the interest rate, and n is the number of months (5 × 12 = 60).

    Again with the interest rate, to make it realistic, you don't mean that it's 6.2% compounded monthtly. You mean that it's 6.2% annually, compounded monthly, which makes the actual monthly interest rate 6.2%/12 = 0.51666666667%.

    P = $9,600(0.0051666666667)(1 + 0.0051666666667)^60/[(1 + 0.0051666666667)^60 - 1]

    P = $186.49 per month

    Which means that, after 60 months, she will have really paid:

    $186.49 × 60 = $11,189.34

    on her initial loan of $9,600.

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