A contractor's price for a new building was $$85100\mathrm{.}00.$ Stampede Inc,, the buyers of the building, paid $$16250\mathrm{.}00$ down and financed the balance by making equal payments at the end of every six months for $14$ years. Interest is $9\mathrm{.}8\%$ compounded semi$-$annually. What is the size of the semi$-$annual payment?

$$4,571\mathrm{.}29$

b$.$ $$5,251\mathrm{.}25$

c$.$ $$4577\mathrm{.}29$

d$.$ $$4571\mathrm{.}35$