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A $4000 debt due in four years was paid with $3885.35 cash. If money is worth 7% compounded monthly, how many months before the due date was the debt paid?

 

Any steps and help would be greatly appreciated.

Thanks

 Nov 19, 2015
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A $4000 debt due in four years was paid with $3885.35 cash. If money is worth 7% compounded monthly, how many months before the due date was the debt paid?

 

Here, you have to find the PV of $4,000 =$3,025.60

Then, you find the number of months this PV grows to $3,885..35

If you do right, you will see that it takes 43 months. Therefore,

48 - 43=5 months earlier, that the loan was paid off.

 Nov 19, 2015

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