Todd can afford to pay $390 per month for the next 7 years in order to purchase a new car. The interest rate is 6.8 percent compounded monthly. What is the most he can afford to pay for a new car today

Respuesta :

Answer:

$26,036.74

Explanation:

Tom is able to pay $390 per month for 7 years. The interest rate is 6.8 %. Tom will pay an equivalent of the present value of a $390 annuity for & years 6.8 per cent

The applicable formula is

PV = P ×  1 − (1+r)−n

                      r

Where PV is the present value

P is 390

r is 6.8% per year or 0.005666

n is 7 year or 84 months

PV = $390 x 1-(1+0.005666)84

   0.00566

PV = $390  x 1- 0. 622133410)

   0.00566

PV =390  x  (0.37786659/0.00566)

PV = $390 x 66.760

PV = $26,036.74