You obtained a $$10,000$ loan at $1\mathrm{.}5\%$ compounded monthly. What will you pay monthly if the amortization period is $5$ years? How much of the payment made at the end of the third year goes towards proncipal?

a$.$ $$173\mathrm{.}10/$$$147\mathrm{.}78$

b$.$ $$163\mathrm{.}10/$$$177\mathrm{.}78$

c$.$ $$178\mathrm{.}10/167\mathrm{.}78$

d$.$$$173\mathrm{.}10/$$$167\mathrm{.}78$

e$.$ $$167\mathrm{.}78/$$$173\mathrm{.}10$