Suppose you bought a stock for $$45$ on January $1$st$.30$ days later you received a dividend of $$2\mathrm{.}2$ and you sold the stock for $$44\mathrm{.}30.$ Given this information, annualized return is $\_\_\_\_\_\_\_\_\_\_\_\_\_\_.($Assume $360$ days in a year$).$

$59\%$

$9\%$

$25\%$

$12\%$

$40\%$