Your friend tells you he has a very simple trick for taking one$-$third off the time it takes to repay your mortgage: use your year$-$end bonus to make an extra payment on January $1$ of each year $($that is$,$ pay your monthly payment due on that day twice$).$ If you take out your mortgage on July $1,$ so your first monthly payment is due August $1,$ and you make an extra payment every January $1,$ how long will it take to pay off the mortgage? Assume that the mortgage was for $$400,000,$ has an original term of $20$ years, and has an APR $($with semi$-$annual compounding$)$ of $12\%.$

The monthly mortgage payment is $ $$

$($Round to the nearest cent.$)$

It will take approximately $$ months to pay off the mortgage.

$($Round to the nearest month.$)$