An investor purchased $$15,000$ of SGH Equity fund $4$ years ago, and chooses to reinvest all the fund distributions into additional fund units. The investor sells the fund for $$26,000.$ The investor received a total of $$4,500$ in reinvested dividends over the holding period. How much will the investor report as a total capital gain?

$$6,500$

$$9,000$

$$3,500$

$$2,500$