Zach was recently accepted to a private college and is looking to take out a $ 92,000 loan to cover the 4 years of tuition. One private loan company offers Zach a student loan with a 10 -year term and a 3.24 % interest rate that is compounded monthly. Calculate the monthly payments of the student loan, rounding to the nearest cent.

Respuesta :

To calculate the monthly payments of the student loan, we can use the formula for calculating the monthly payment of a loan:

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

M = Monthly payment

P = Principal amount (loan amount)

r = Monthly interest rate (annual interest rate divided by 12)

n = Total number of payments (loan term in months)

Let's calculate the monthly payment for Zach's student loan:

P = $92,000

r = 3.24% / 100 / 12 = 0.0027 (monthly interest rate)

n = 10 years * 12 months/year = 120 months

M = ($92,000 * 0.0027 * (1 + 0.0027)^120) / ((1 + 0.0027)^120 - 1)

M ≈ $904.81

Therefore, the monthly payment for Zach's student loan would be approximately $904.81, rounded to the nearest cent