CramX Logo

Q
QuestionMathematics

What is the payment on a 60 -month, 2.99% car loan for $40,000?
12 months agoReport content

Answer

Full Solution Locked

Sign in to view the complete step-by-step solution and unlock all study resources.

Step 1:
: Identify the formula for calculating the monthly payment on a loan.

P = \frac{rPV}{1 - (1 + r)^{-n}}
The formula is where: - 1$ is the number of payments (loan term in months).

Step 2:
: Calculate the monthly interest rate.

r = \frac{i}{12} = \frac{2.99\%}{12} = 0.00249167

Step 3:
: Plug the values into the formula and calculate the monthly payment.

P = \frac{0.00249167 \times 40000}{1 - (1 + 0.00249167)^{-60}} \approx 704.42

Step 4:
: Round the monthly payment to two decimal places.

P \approx 704.42

Final Answer

The payment on a 60 -month, 2.99% car loan for $40,000 is approximately $704.42 per month.