Question

In: Finance

Five years ago Nirdosh borrowed $1,500 at 6.5% compoundedsemi-annually. The interest rate changed to 5%...

Five years ago Nirdosh borrowed $1,500 at 6.5% compounded semi-annually. The interest rate changed to 5% compounded monthly one and a half year ago. What amount of money today is required to pay off the loan?

Solutions

Expert Solution

RATE FOR 3.5 YEARS = 6.5% SEMI ANNUAL COMPOUNDING

RATE FOR NEXT 1.5 YEARS = 5% COMPOUNDED MONTHLY

AMOUNT BORROWED = 1500

r1 = 6.5%/2 = 3.25%, r2 = 5%/12 = 0.4166667%, n1 = 3.5 x 2 = 7 , n2 = 1.5 x 12 = 18

AMOUNT REQUIRED TO PAYOFF LOAN = FV = PV*(1+ r1)^n1 *(1+r2)^n2

AMOUNT REQUIRED TO PAYOFF LOAN = FV = 1500*(1+ 0.0325)^7 *(1+0.004166667)^18

AMOUNT REQUIRED TO PAYOFF LOAN = FV = 1500*1.250922552*1.077716211 = 2022.21

Answer : 2022.21


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