Answer to Question #114731 in Financial Math for Angel

Question

You want to buy a car. The loan amount will be $24,000. The company is offering a 2% interest rate for 36 months (3 years). What will your monthly payments be?

Answer 1

The monthly loan repayment will be computed using the following formula:

$\text{p}=\dfrac{D (1- (1+\dfrac{r}{k} )^{-nk} }{ \dfrac{r}{k}}$

Where p is the loan balance at the beginning of the period which is $24000.

d is the loan repayment.

r is the rate of interest which is 2%.

k is the number of compounding period in a year (12 months)

n is the length of the loan (3years)

$24000=\dfrac{D (1- (1+\dfrac{0.02}{12} )^{-12 \times3} }{ \dfrac{0.02}{12}}$

$24000=34.91306D$

$D=\dfrac{24000}{34.91306}$

$D= $687.42$

The monthly payment is $687.42