An investor purchases a stock for $$200$ today. In one year, the price of the stock has increased to $$220$ and the firm paid $$5$ in dividend. The investor purchases $2$ more shares. After receiving $$5$ in dividend in the second year for each stock, the investor then sells all three stocks for $$226$ each. The dollar weighted returns of the investment is

$5\mathrm{.}0\%$

$6\mathrm{.}8\%$

$8\mathrm{.}7\%$

$12\mathrm{.}5\%$

None of the above