Use the commission schedule from Company A shown in the table to find the annual rate of interest earned on the investment. $($Note: commissions are rounded to the nearest cent.$)$

Principal $($Value of Stock$)$

Under $$3,000$

$$3,000$ to $$10,000$

Over $$10,000$

Commission

$$25+1\mathrm{.}8\%$ of principal

$$37+1\mathrm{.}4\%$ of principal

$$107+0\mathrm{.}7\%$ of principal

An investor purchases $393$ shares at $$9\mathrm{.}55$ a share, holds the stock for $43$ weeks, and then sells the stock for $$20\mathrm{.}99$ a share.

The annual rate is $\%($ Round to five decimal places.$)$