Amy purchased $100$ shares of open$-$end mutual fund at NAV of $$42$ per share. She received dividend payment of $$2$ and capital gain distribution of $$4\mathrm{.}30$ per share during the year. At the end of the year the shares had a NAV of $$40$ per share. What$$s her rate of return on this investment?

$5\mathrm{.}43\%$

$7\mathrm{.}19\%$

$9\mathrm{.}18\%$

$10\mathrm{.}24\%$