Question $5,$ Problem $5-14$

HW Score: $41\mathrm{.}67\%,5$ of $12$ points

Part $1$ of $2$

Points: $0$ 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 $$3022,$ 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 $5\mathrm{.}536\%($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.$)$