A $$492,700$ mortgage at $2\mathrm{.}26\%$ compounded semi$-$annually is amortized over $20$ years. The mortgage is settled with monthly payments.

What is the size of the monthly payments? Enter your answer in blank #$1.($Round your answer to $2$ decimal places and include the $ sign. Enter your answer in the form $$1,234\mathrm{.}56.)$

What is the balance on the mortgage at the end of year $13?$ Enter your answer in blank #$2.($Round your answer to $2$ decimal places and include the $ sign. Enter your answer in the form $$1,234\mathrm{.}56.)$

By how much is the amortization period shortened by if a lump$-$sum payment of $$44,000$ at the end of year $13?$ Give your answer in years and months. Enter the years in blank #$3$ and enter the months in blank #$4.$

Question $1$ options:

Blank # $1$

Blank # $2$

Blank # $3$

Blank # $4$