Lindsay buys $1000$ shares of Axe stock at $$55$ 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 $500$ more shares at $$50$ per

share. At the end of the second year $($December $31,$ Year $2),$ she buys another $500$ shares for $$40$

per share. The stock pays a dividend of $$3\mathrm{.}00$ per share on December $29$th of each year. Axe is

trading at $$63\mathrm{.}00$ per share as of December $31,$ Year $3.$ What is the dollar weighted return for

Lindsay$$s investment in Axe since January $1,$ Year $1$ to today?