Assume that 8 years ago you borrowed $200,000 as a 30-year mortgage on your home with an annual percentage rate of 7% at monthly payments (12 payments per year). You plan to refinance this mortgage with a new 30 year low at the current rate of 5%.

a. What is the monthly payment of the original mortgage.

b. How much do you still owe of the original principal after seven years? (Hint: for a loan that is amortized, like a mortgage, the amount you still owe at any time is the present value of the remaining payments that have not yet been made).

c. How much money can you borrow now at the new interest rate if you keep the same monthly payments as the original mortgage?