Taggart Inc.$\text{'}$s stock has a $50\%$ chance of producing a $20\%$ return, a $30\%$ chance of producing a $10\%$ return, and a $20\%$ chance of producing a $-28\%$ return. What is the firm's expected rate of return? Do not round your intermediate calculations.

$6\mathrm{.}14\%$

$7\mathrm{.}25\%$

$7\mathrm{.}99\%$

$7\mathrm{.}18\%$

$7\mathrm{.}40\%$