Three years ago, you took out a $30-$year fully amortizing, fixed rate mortgage of $$220,000$ at $7\%$ p$.$a$.$ compounded monthly.

Today, you refinance into a fully$-$amortizing, fixed$-$rate mortgage with maturity in $15$ years at the interest rate of $5\%$ p$.$a$.$ compounded monthly.

The monthly payment for the new mortgage equals $ $\_\_\_\_\_\_.$