A $$99,000$ mortgage is to be amortized by making monthly payments for $15$ years. Interest is $5\mathrm{.}8\%$ compounded semi$-$annually for a seven$-$year term.

$($a$)$ Compute the size of the monthly payment.

$($b$)$ Determine the balance at the end of the seven$-$year term.

$($c$)$ If the mortgage is renewed for a seven$-$year term at $5\%$ compounded semi$-$annually, what is the size of the monthly payment for the renewal term?

$($a$)$ The size of the monthly payment is $

$($Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.$)$

$($b$)$ The balance at the end of the seven$-$year term is $

$($Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.$)$

$($c$)$ The size of the monthly payment for the renewal term is $

$($Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.$)$