What is the most you would be willing to pay for an annuity that provides you with $$13,700$ at the end of each year for $3$ years? Assume that similarly risky opportunities are offering you a return of $5\mathrm{.}5\%$ upon investment.

$$25,294\mathrm{.}58$

$$38,994\mathrm{.}58$

$$43,360\mathrm{.}50$

$$36,961\mathrm{.}69$

$$48,020\mathrm{.}56$