We start by figuring out the present value of the remaining balance for the home, which is 190000 - 19000 = 171000. We must also figure out the monthly interest rate, since the rate given does not say it is a nominal rate, nor does it say it is compounded monthly, so we assume that is is NOT a nominal rate. Let's call them i7 and i9. So i7 = (1.07^(1/12) - 1) = .00565415 and i9 = (1.09^(1/12) - 1) = .00720732. Now we just have to figure out the monthly payment under both interest rates. At 7%, we have 171000 = x * a angle 300 which becomes 171000 = x * (1 - 1.00565415^-300)/.00565415 So, the monthly payment, x7 is 1185.24. At 9%, we have 171000 = x * a angle 300 (at the i9 rate) which becomes 171000 = x * (1 - 1.00720732^-300)/.00720732 So, the monthly payment, x9 is 1394.13. The difference between monthly payments would be 1394.13 - 1185.24 = 208.89, which is the final answer.
