What Is the Standard Deviation of the Returns on a Share

Multiple Choice

What is the standard deviation of the returns on a share given the following information? $\begin{array} { | l | l | l | } \hline \text { State of Economy } & \text { Probability of State of Economy } & \text { Rate of Return if State Occurs } \\\hline \text { Boom } & 10 \% & 16 \% \\\hline \text { Normal } & 60 \% & 11 \% \\\hline \text { Recession } & 30 \% & - 8 \%\end{array}$

A) 5.80%
B) 7.34%
C) 8.38%
D) 9.15%
E) 9.87%