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

The current monthly payment is $$2849,$ 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 $5\mathrm{.}706\%($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

The monthly discount rate is

$\%.($Round to five decimal places.$)$