You want to buy a house by taking out a mortgage loan in the amount of $$80,000.$ If the mortgage requires monthly payments at the beginning of each month for $25$ years, and the interest rate on the loan is $7\%$ per year, what is the monthly payment on the mortgage that you will have to make?

$($a$)$ $$572\mathrm{.}07.$

$($b$)$ $$266\mathrm{.}67.$

$($c$)$ $$562\mathrm{.}14.$

$($d$)$ $$565\mathrm{.}42.$