You have decided to refinance your mortgage. You plan to borrow whatever is outstanding on your current mortgage. The current monthly payment is $ $2643,$ 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 $6\mathrm{.}005\%($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.$)$

Part $1$

The monthly discount rate is $0\mathrm{.}48715\%.($Round to five decimal$$ places.$)$

Part $2$

The amount you owe today is $$$ $($Round to the nearest$$ dollar.$)$