You have just sold your house for $1,100,000 in cash. Your mortgage was originally a 30-year mortgage with monthly payments and an initial balance of $825,000. The mortgage is currently exactly 18.5years old, and you have just made a payment. If the interest rate on the mortgage is 6.25% (APR with semi-annual compounding).

a) compute the discount rate for the mortgage

b) compute mortgage payments

c) compute the remaining balance on the mortgage

d) find the cash that remains after the mortgage is paid off and the house is sold