please answer the following:

To finance the purchase of a new home, a homebuyer takes-out a loan in the amount of $700,000 at 12% interest per year, compounded monthly. A balance of $200,000 will remain and be paid as a lump sum when the term expires in 10 years. (a) What are the monthly mortgage payments the homebuyer must make to the lender? (b) What is the outstanding balance of the loan at the end of 5 years? (c) At the end of year 5, the market rate of interest is 6%. What is the market value of the loan at the end of 5 years? (d) If the loan is sold at market value at the end of year 5, is this loan sold at a discount? (e) Regardless of what your answer is for part (d), what is one reason why this mortgage lender would sell the loan at a discount? To finance the purchase of a new home, a homebuyer takes-out a loan in the amount of $700,000 at 12% interest per year, compounded monthly. A balance of $200,000 will remain and be paid as a lump sum when the term expires in 10 years. (a) What are the monthly mortgage payments the homebuyer must make to the lender? (b) What is the outstanding balance of the loan at the end of 5 years? (c) At the end of year 5, the market rate of interest is 6%. What is the market value of the loan at the end of 5 years? (d) If the loan is sold at market value at the end of year 5, is this loan sold at a discount? (e) Regardless of what your answer is for part (d), what is one reason why this mortgage lender would sell the loan at a discount