You have decided to refinance your mortgage. You plan to borrow whatever is outstanding on your current

mortgage. The current monthly payment is $$2314,$ and you have made every payment on time. The original

term of the mortgage was $30$ years, and the mortgage is exactly $4$ years and $8$ months old. You have just made

your monthly payment. The mortgage interest rate is $6\mathrm{.}422\%($APR with semi$-$annual compounding$).$ How much

do you owe on the mortgage today?

$($Note: Be careful not to round any intermediate steps less than six decimal places.$)$

The monthly discount rate is $-\%.($Round to five decimal places.$)$