Calculate the principal portion of the second payment on the required on an amortized loan to finance the purchase of a new home priced at$$ $$99,757\mathrm{.}57$ assuming the annual interest rate of$8\mathrm{.}25\%$ for $20$ years.

A$.$

$$$$164\mathrm{.}17$

B$.$

$$$$165\mathrm{.}30$

C$.$

$$$$174\mathrm{.}17$

D$.$

$$$$175\mathrm{.}30$