The Mehdi Co$.$ stock is expected to earn $5\mathrm{.}5$ percent in a recession, $10$ percent in a normal economy, and lose $1\mathrm{.}5$ percent in a booming economy. The probability of a boom is $12$ percent while the probability of a normal economy is $60$ percent. What is the expected rate of return on this stock?

Multiple Choice

$7\mathrm{.}72\%$

$7\mathrm{.}36\%$

$1\mathrm{.}66\%$

$\mathrm{.}46\%$

$4\mathrm{.}67\%$