Question

4.37.-On January 1st, Frank bought a used car for $72,000 and agreed to pay it as follows: ¼ down payment; the balance to be paid in 36 equal monthly payments; the first payment due February 1; an annual interest rate of 9%, compounded monthly.

Answer 1

Answer:

$1,664.099

Explanation:

The amount that should be recognised by the Frank in respect of monthly payments to be made in respect of used car shall be determined using present value of annuity formula as follows:

Total amount to be paid= $72,000*3/4=$54,000

Total amount to be paid=Present value of annuity=R+R[(1-(1+i)^-n)/i]

Where

R=Equal monthly payment to be made=?

i=Interest rate compounded monthly=9/12=0.75%

n=number of payments involved=36

Present value of annuity= $54,000

$54,000=R+R[(1-(1+0.75%)^-36)/0.75%]

$54,000=R+R(31.45)

$54,000=R*32.45

R=$1,664.099=equal monthly payment