You have just sold your house for $1,050,000 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 18.5 years old, and you have just made a payment. If the interest rate on the mortgage is 5.25% ( APR with semi-annual compounding), how much cash will you have from the sale once you pay off the mortgage? (Note: Be careful not to round any intermediate steps less than six decimal places.) a. What is the discount rate for the mortgage? The discount rate for the mortgage is \%. (Round to four decimal places.) b. What is the monthly mortgage payment? The monthly mortgage payment is $. (Round to the nearest cent.)