Hernandez Engineering received a promissory note of $$15,500$ at $11\%$ simple interest for $15$ months from one of its customers. After $6$ months, Union Bank discounted the note at a discount rate of $12\mathrm{.}5\%.$ Calculate the proceeds that Hernandez Engineering will receive from the discounted note.

Question $12$ options:

A$)$

$$18,733\mathrm{.}20$

B$)$

$$15,978\mathrm{.}32$

C$)$

$$17,631\mathrm{.}25$

D$)$

$$16,529\mathrm{.}30$