Question $5,$ Problem $5-14$

HW Score: $79\mathrm{.}17\%,.5$ or i$2$ points

Part $1$ of $2$

Points: $0\mathrm{.}5$ of $1$

You have decided to refinance your mortgage. You plan to borrow whatever is outstanding on your current mortgage. The current monthly payment is $$2401,$ 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 $5\mathrm{.}564\%($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.$)$