Todd can afford to pay $$420$ per month for the next $5$ years in order to purchase a new car.$$ The interest rate is $10\mathrm{.}8\%$ per year,$$ compounded monthly.

What is the most Todd can afford to pay for a new car today?

$$18,881\mathrm{.}12$

$$19,405\mathrm{.}98$

$$21,110\mathrm{.}09$

$$20,519\mathrm{.}47$

$$19,951\mathrm{.}77$