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What Is the Variance of the Returns on a Security

question 7

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What is the variance of the returns on a security given the following information?
 state of the Economy Probabllity Rate ofof State of EconomyReturn ifState Occurs Boom .2016% Normal .508% Recession .308%\begin{array}{lrr}\text { state of the Economy}&\text { Probabllity}&\text { Rate of}\\&\text {of State of Economy}&\text {Return if}\\&&\text {State Occurs}\\\text { Boom } & .20 & 16 \% \\\text { Normal } & .50 & 8 \% \\\text { Recession } & .30 & -8 \%\end{array}


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