Question $4$ of $5$

A $$340,000$ house in Hamilton was purchased with a down payment of $20\mathrm{.}00\%$ of its value and a $20$ year mortgage was taken for the balance. The negotiated fixed interest rate was $5\mathrm{.}75\%$ compounded semi$-$annually for a five$-$year term, with repayments made at the end of every month.

a$.$ Calculate the size of the monthly payments.