You are borrowing $245,000 to purchase a home. The loan agreement requires a monthly payment based upon a 4.5% quoted APR over 20 years. What is your monthly mortgage payment?
Given the following information,
Loan amount = P = 245,000
Term in years = 20
Total number of monthly payments (mt) = 20*12 = 240
Annual Percentage Rate = APR = 4.5% = 0.045
Monthly interest rate (r/m) = 0.045/ 12 = 0.00375
Calculation of monthly payments, using the following formula,
Monthly Payments = (P*(r/m))/ (1-(1+(r/m))^(-mt)))
Substituting the above given values, we get
Monthly Payments = (245000*(0.00375))/ (1-(1+(0.00375))^(-240)))
Monthly Payments = (245000*(0.00375))/ (1-(1.00375)^(-240))
Monthly Payments = 918.75/ (1-(1.00375)^(-240))
Monthly Payments = 918.75/ (1-0.4073)
Monthly Payments = 918.75/ 0.5927
Monthly Payments = 1549.99
Therefore, the monthly mortgage payment is $1549.99
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