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Using the practical method, how much money will be required on December 8, 2011, to repay...

Using the practical method, how much money will be required on December 8, 2011, to repay a loan of $2000 made on August 24, 2009, if interest on the loan is earned at 3.0%/year compounded monthly?

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Answer #1

Solution:-

Formula for calculating future value is as follows:-

FV= PV*(1+r)n

where,

PV= initial amount

r= rate of interest per compounding period

n= no. of compounding periods

In the given question, we have the following data:

PV= $2,000

r= 3%/12 = 0.25% per month

n= 27.5 months

Hence,

FV= 2,000*(1+0.25%)27.5

FV= $2,142.15

Therefore, $2,142.15 will be required to pay off the loan on Dec 8, 2011.

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