Compute the Standard Deviation Given These Four Economic States, Their

Multiple Choice

Compute the standard deviation given these four economic states, their likelihoods, and the potential returns: $$\begin{array} { | l | c | r | } \hline \begin{array} { l } \text { Economic } \\\text { State }\end{array} & \text { Probability } & \text { Return } \\\hline \text { Fast Growth } & 0.40 & 50 \% \\\hline \text { Slow Growth } & 0.40 & 10 \% \\\hline \text { Recession } & 0.10 & - 10 \% \\\hline \text { Depression } & 0.10 & - 5 \% \\\hline\end{array}$$

A) 6.71 percent
B) 22.5 percent
C) 23.37 percent
D) 52.20 percent