Explanation:
A. To calculate the monthly payment, we can use the formula for a fixed-rate mortgage:
M = P * (r*(1+r)^n) / ((1+r)^n - 1)
where:
M = monthly payment
P = principal (amount borrowed) = $213,000
r = monthly interest rate = APR / 12 = 0.0375 / 12 = 0.003125
n = total number of payments = 30 years * 12 months/year = 360
Plugging in these values, we get:
M = 213000 * (0.003125*(1+0.003125)^360) / ((1+0.003125)^360 - 1)
M ≈ $988.32
So the monthly payment, rounded to the nearest 10th, is $988.30.
B. The total amount paid over the 30-year period would be the monthly payment multiplied by the total number of payments:
Total = M * n
Total = $988.30 * 360
Total = $355,788.00
So the total amount paid over 30 years would be $355,788.00.
C. To calculate the total interest paid over the 30-year period, we can subtract the principal from the total amount paid:
Total Interest = Total - P
Total Interest = $355,788.00 - $213,000
Total Interest = $142,788.00
So the total interest paid over the 30-year period would be $142,788.00.