angelica received a 12-year non-subsidized student loan of $16000 at an annual interest rate of 5.6% (compounded monthly) Determine her monthly payment on the loan after she graduates in 4 years.

Respuesta :

The monthly payment of Angelica on the loan after she graduates in 4 years is $97.22.

How do we calculate the monthly payment of a loan?

Firstly, we calculate the future value (FV) of the loan in 4 years as follows:

FV in 4 years = Loan amount * (1 + Interest rate)^4 = $16,000 * (1 + 0.056)^4 = $19,896.45

Secondly, the monthly payment is calculated using the formula for calculating the future value of an ordinary annuity as follows:

M = FV in 4 years / ((((1 + r)^n) – 1) / r) ....................... (1)

Where:

M = Monthly payment = ?

r = monthly interest rate = 0.056 / 12 = 0.00466666666666667

n = number of months = 12 years * 12 months = 144

Substituting all the relevant values into equation (1), we have:

M = $19,896.45 / ((((1 + 0.00466666666666667)^144) – 1) / 0.00466666666666667)

M = $97.22

Learn more about future value here: https://brainly.com/question/2472793.

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