You need to have $$33,000$ in $17$ years. You can earn an annual interest rate of $3$ percent for the first $5$ years, $4\mathrm{.}6$ percent for the next $4$ years, and $4\mathrm{.}3$ percent for the final $8$ years.

How much do you have to deposit today? Choose the answer below that is closest:

$$16,487\mathrm{.}43$

$$17,884\mathrm{.}75$

$$15,414\mathrm{.}25$

$$17,644\mathrm{.}70$