Daniel and Jan agreed to pay $560,000 for a four-bedroom colonial home

in Waltham, Mass., with $60,000 down payment. They have a 30-year mortgage at a fixed rate of 6.00%. (a) How much is their monthly payment? (b) After the first payment, what would be the balance of the principal?

1 answer

i = .06/12 = .005
n = 12*30 = 360
pmt = ??

pmt( 1 - 1.005^-360)/.005 = 500000
pmt = 2997.75

the interest in the first month = .005(500000) = 2500
so the actual reduction in the principal for the 1st month = 2997.75-2500 = 497.75

leaving a balance of $499,502.24