Question

Hong le buys a car costing $14,000. he agrees to make payments at the end of each monthly period for 4 years. he pays 7% interest, compounded monthly.
a. what is the amount of each payment?
b. find the total amount of interest le will pay

Answer 1

Use the formula of the present value of an annuity ordinary to find the monthly payment
The formula is
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
Pv present value 14000
PMT monthly payment?
R interest rate 0.07
K compounded monthly 12
N time 4years
Solve the formula for PMT
PMT=pv÷[(1-(1+r/k)^(-kn))÷(r/k)]
PMT=14,000÷((1−(1+0.07÷12)^(
−12×4))÷(0.07÷12))
=335.25

Total payments
335.25×12 months×4years
=16,092

Total amountof interest
16,092−14,000
=2,092

Hope it helps!