A $$270,000$ 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 $4\mathrm{.}25\%$ 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.

$$0\mathrm{.}00$

Round to the nearest cent

b$.$ Complete the partial mortgage schedule for the five$-$year term, rounding the answers to the nearest cent.

Payment Number

Payment

Interest Portion

Principal Portion

Principal Balance

$0$

$$216,000\mathrm{.}00$

$1$

$$0\mathrm{.}00$

$$0\mathrm{.}00$

$$0\mathrm{.}00$

$$0\mathrm{.}00$

$2$

$$0\mathrm{.}00$

$$0\mathrm{.}00$

$$0\mathrm{.}00$

$$0\mathrm{.}00$

: :

: :

: :

: :

: :

$0$

: :

: :

: :

$$0\mathrm{.}00$

$0$

$$0\mathrm{.}00$

$$0\mathrm{.}00$

$$0\mathrm{.}00$

$$0\mathrm{.}00$

$0$

$$0\mathrm{.}00$

$$0\mathrm{.}00$

$$0\mathrm{.}00$

$$0\mathrm{.}00$