$6.$ Patti buys $100$ shares of Hammer stock at $$75$ per share on January $1,$ Year $1.$ At the end of the first year $($December $31,$ Year $1),$ the stock has dropped, so she buys $50$ more shares at $$60$ per share. At the end of the second year $($December $31,$ Year $2),$ she buys another $50$ shares for $$45$ per share. The stock pays a dividend of $$2\mathrm{.}50$ per share on December $29$th of each year. Hammer then recovers a bit and is trading at $$73\mathrm{.}00$ per share as of December $31,$ Year $3.$ What is the dollar weighted return for Lindsay$$s investment in Hammer since January $1,$ Year $1$ to today?