Both you and your older brother would like to have $$22,500$ in $8$ years. Because of your success in this class, you feel that you are a more savvy investor than your brother and will be able to earn an annual return of $10\mathrm{.}8$ percent compared to your brother's $10\mathrm{.}4$ percent. How much will you have to deposit today? $($Round to the nearest dollar$)$

Number of period: Blank $1$ Question $3$

Interest rate per period: Blank $2$ Question $3$

Regular payment: Blank $3$ Question $3$

Future value: Blank $4$ Question $3$

You need to deposit Blank $5$ Question $3$ today to get better return than your brother.