Answer:
A 15-year mortgage monthly payments is: $1,496.5
A 30-year mortgage monthly payments is: $1,060.1
=> The difference of monthly payment between the two options is: $436.4 ( $1,496.5 - $1,060.1) where the monthly payment of the option of 15-year mortgage is higher.
Explanation:
The borrowed amount in both options is : $250,000 * 80% = $200,000;
* A 15-year mortgage monthly payments is:
We have (1+APR) = ( 1 + Monthly Interest rate)^12 <=> 1.0425 = ( 1 + Monthly Interest rate)^12 <=> Monthly Interest rate = 0.3475%;
Amount of payment periods = 15 * 12 = 180
=> Monthly payment = (200,000 * 0.3475%) / [ 1 - 1.003475^(-180) ] = $1,496.5
* A 30-year mortgage monthly payments is:
We have (1+APR) = ( 1 + Monthly Interest rate)^12 <=> 1.05 = ( 1 + Monthly Interest rate)^12 <=> Monthly Interest rate = 0.4074%;
Amount of payment periods = 30 * 12 = 360
=> Monthly payment = (200,000 * 0.4074%) / [ 1 - 1.004074^(-360) ] = $1,060.1
