You are considering a 30-year fixed-rate mortgage that requires monthly payments. The stated annual rate on this mortgage is 4.5% compounded monthly. The amount borrowed is $300, 000. There are no fees or points. Answer the following questions: What is the monthly payment with this mortgage?| After you have made 100 payments (and there are 260 payments remaining), how much remaining principle is there on this loan? That is, if you were to pay it off early (say because you want to refinance or you are moving to a different house), what would you have to pay to pay it off after you have made 100 payments? Next consider a $300, 000 15-year fixed rate mortgage that required monthly payments with a stated annual rate of 4.5% compounded monthly. Are the payments on this 15-year mortgage more than, less than, or equal to 2 times the monthly payments on the 30-year mortgage described above? Show your work. Explain intuitively why the two payments are related as they are