133k views
3 votes
Bill intends to buy a car from a car dealer for a price of $45,000. He has $5,000 of his own money that he can use to pay for the car and is considering financing the remaining amount by taking out a loan from a bank. The bank that Bill approaches is willing to offer him a 5 -year loan for $40,000 at 6% per annum that has equal monthly payments covering the principal and interest. Payments will be made at the end of the month.

REQUIRED:
What is the monthly payment Bill needs to make to pay off the loan? (2 marks)

1 Answer

6 votes

Answer: Approximately $759.96.

Explanation:

To calculate the monthly payment for Bill's loan, we can use the formula for calculating the monthly payment of a loan:

Monthly Payment = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where:

P = Principal amount (loan amount)

r = Monthly interest rate

n = Total number of monthly payments

Let's calculate the monthly payment using the given information:

Principal amount (P) = $40,000

Annual interest rate = 6%

Monthly interest rate (r) = Annual interest rate / 12 = 6% / 12 = 0.06 / 12 = 0.005

Total number of monthly payments (n) = 5 years * 12 months/year = 60 months

Plugging these values into the formula, we get:

Monthly Payment = 40,000 * 0.005 * (1 + 0.005)^60 / ((1 + 0.005)^60 - 1)

Calculating this expression gives us the monthly payment Bill needs to make to pay off the loan.

User SeeNoWeevil
by
8.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.