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snow_tiger [21]
3 years ago
8

Emilio’s accountant told him that if he continues to pay $50 a month on his credit card, it will take him 42 years to pay off hi

s current balance (assuming the interest rate doesn’t change and assuming he doesn’t charge anything else on that card). His credit card interest rate is 18.99%. What is his balance?
Business
1 answer:
SIZIF [17.4K]3 years ago
3 0

Answer:

$3,158.40  

Explanation:

The current balance on his credit card is the present value of $50 payable per month over 42-year period as shown below:

PV=monthly payment*(1-(1+r)^-n/r

PV=the unknown

montly paymet=$50

r=monthly interest rate= 18.99%/12=0.015825

n=number of monthly payments=42*12=504

PV=$50*(1-(1+0.015825)^-504/0.015825

PV=$50*(1-(1.015825)^-504/0.015825

PV=$50*(1-0.000365827)/0.015825

PV=$50*0.999634173/0.015825

PV=$3,158.40  

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