2. You are doing some bookkeeping concerning a mortgage you took out 10 years ago, $500,000 used to finance a home. You presume it is a 30-year mortgage. You are trying to determine the interest rate (mortgage equivalent yield) on the loan. You know that the monthly payments are $4,023.11. So, you assume therefore that the interest rate on the loan is 9% and call your mortgage broker to check this out. Looking at your numbers, he tells you that you have two things incorrect. First, this was a weird mortgage that did not start with a 30-year maturity. Second, the 9%, it turns out, was purely coincidental. He also tells you that the actual interest paid thus far is 8.78% less than that shown in your calculations based on the 9% interest rate and a $500,000 loan that is the interest paid is .9122 times the figure calculated from your mortgage calculation. From this information, can you determine the actual terms of the mortgage: rate and maturity?