James wants to make a loan in the amount of $ 15,000. They offer you an 11% annual interest rate, compounded annually to pay in 4 years. Prepare a loan repayment plan.
Solution:
Loan Amount Taken =$15,000
Loan interest rate = 11% compounded annually
Time period with in loan repyment = 4 years
After 4 year he can repay loan amount as follows;
Future value of present amount given = Present Value * ( 1+ r) t
where r=interest rate =11%, t= time period= 4 years.
= $15,000 * ( 1+0.11)4
= $15,000 * (1.11)*(1.11)*(1.11)*(1.11) = $15,000 * 1.51807041 = $ 22,771.05615 = $ 22,771.06
So he can repay the loan amount of principal $15,000 with interest of $7771.06 with 11% compounded annual interest.
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