Suppose you borrowed $$5,000$ at a rate of $8\mathrm{.}5\%$ and must repay it in $4$ equal installments at the end of each of the next $4$ years. How large would your payments be$?$

a$.$ $$1,675\mathrm{.}00$

b$.$ $$1,101\mathrm{.}44$

c$.$ $$1,526\mathrm{.}44$

d$.$ $$1,732\mathrm{.}32$