A car was purchased for $4500 down and payments of $375 at the end of each month for 5 years. Interest is 9.72% compounded monthly. What was the purchase price of the car?

Respuesta :

Answer:

$21,080.2

Explanation:

The price of the car will be the down-payment plus the future value of 375 paid each month for 5 years compounded monthly at 9.72%.

The formula for calculating future value is

PV = P ×  1 − (1+r)−n

  r

PV is $350

r is 9.72 % or 0.0972 % per year or 0.0081

t is five year or 60 months

FV = 350 x (1-(1+0.0081)-60

  0.0081

Fv =350 x 1-0.61628715419

  0.0081

FV =350 x( 0.38371284581/0.00810

FV =350 x 47.371956

FV =16,580.20

The value of the car = $4500 + 16,580.20

=$21,080.2

ACCESS MORE