Katy wants to see if she can save enough money to expand her online clothing store. She estimates the following CFs over the next $4$ years:

Year $1$: $$2,000$; Year $2$: $$1,300$; Year $3$: $$2,400$; Year $4$: $$3,100.$

If she hopes to get $5\%$ return, how much will she have at the end of $4$ years?

$$7,707\mathrm{.}49$

$$8,249\mathrm{.}22$

$$9,368\mathrm{.}50$

$$9,836\mathrm{.}93$