Final answer:
To determine the monthly principal and interest payment for a 15-year mortgage, use the formula for calculating the monthly payment of a loan.
Step-by-step explanation:
To determine the monthly principal and interest payment for a 15-year mortgage, we need to use the formula for calculating the monthly payment of a loan. The formula is:
Monthly Payment = (P * r * (1 + r)^n) / ((1 + r)^n - 1)
Where:
- P is the amount financed ($65,000)
- r is the monthly interest rate (APR / 12 = 0.06 / 12 = 0.005)
- n is the total number of payments (15 years * 12 months per year = 180)
Substituting these values into the formula, we get:
Monthly Payment = (65000 * 0.005 * (1 + 0.005)^180) / ((1 + 0.005)^180 - 1)
Using a calculator or spreadsheet software, we can calculate the monthly payment to be approximately $511.11.