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500=L((0.0239/12)/(1-(1+(0.239/12)^-60

 Mar 14, 2016
 #1
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0

500=L((0.0239/12)/(1-(1+(0.0239/12)^-60

L=$28,250.34

 Mar 14, 2016
 #2
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how did you figure that out?

 Mar 14, 2016
 #3
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+5

500=L((0.0239/12)/(1-(1+(0.239/12)^-60

 

First, this is the formula for finding the amount of a loan with a monthly payments of $500 @ 2.39% compounded monthly over a period of 5 years, or 60 months.

 

500=L*(0.00199167) / (1 - (1.00199167)^-60)

500=L*(0.00199167) / (1 - 0.8874695)

500=L*(0.00199167) / (0.1125305)

500=L* 0.01769893) Divide both sides by .01769893

L=$28,250.30. The accurate amount is $28,250.34 when calculations carried to 15 decimal places.

 Mar 14, 2016

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