Five years ago, you took out a $\frac{5}{1}$ adjustable rate mortgage and the $5-$year fixed rate period has just expired. The loan was originally for $$300,000$ with $360$ payments at $4\mathrm{.}2\%$ APR, compounded monthly.

a$.$ Now that you have made $60$ payments, what is the remaining balance on the loan?

b$.$ If the interest rate increases by $1\mathrm{.}0\%,$ to $5\mathrm{.}2\%$ APR, compounded monthly, what will be your new payments?

a$.$ Now that you have made $60$ payments, what is the remaining balance on the loan?

The remaining balance on the loan is $$,.($Round to the nearest cent.$)$

b$.$ If the interest rate increases by $1\mathrm{.}0\%,$ to $5\mathrm{.}2\%$ APR, compounded monthly, what will be your new payments?

The new payment is $$,.($Round to the nearest cent.$)$