You need to have $$33,500$ in $14$ years. You can earn an annual interest rate of $5$ percent for the first $4$ years, $5\mathrm{.}6$ percent for the next $3$ years, and $6\mathrm{.}3$ percent for the final $7$ years. How much do you have to deposit today?

Multiple Choice

$$15,442\mathrm{.}60$

$$15,260\mathrm{.}30$

$$12,666\mathrm{.}97$

$$16,919\mathrm{.}78$

$$14,585\mathrm{.}28$