Final answer:
Brad's monthly payment for a $210,000 mortgage with an APR of 3.2% for 20 years is approximately $1,158.73.
Step-by-step explanation:
To calculate Brad's monthly payment for a $210,000 mortgage with an APR of 3.2% for 20 years, we can use the formula for a fixed-rate mortgage. The formula is:
Monthly Payment = P * r * (1 + r)^n / (1 + r)^n - 1
Where:
- P = Principal amount of the loan ($210,000)
- r = Monthly interest rate (APR / 12 / 100)
- n = Number of monthly payments (20 years * 12 months)
Substituting the values into the formula, we get:
Monthly Payment = $210,000 * (0.032 / 12) * (1 + (0.032 / 12))^240 / ((1 + (0.032 / 12))^240 - 1)
Simplifying the equation gives us:
Monthly Payment ≈ $1,158.73 (rounded to the nearest cent)