If there is a level$-$payment loan of $$110,000,$ that carries a term of $20$ years at $6\%$ interest with monthly payments of $$843\mathrm{.}86,$ what is the loan balance at the end of five years?

$$96,872\mathrm{.}10$

$$98,349\mathrm{.}34$

$$100,000\mathrm{.}38$

$$91,255\mathrm{.}39$