You need to have $$30,250$ in $17$ years. You can earn an annual interest rate of $4$ percent for the first $5$ years, $4\mathrm{.}6$ percent for the next $4$ years, and $5\mathrm{.}3$ percent for the final $8$ years. How much do you have to deposit today?

Multiple Choice

$$12,74015$

$$15,529\mathrm{.}54$

$$11,665\mathrm{.}90$

$$13,597\mathrm{.}47$