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What Is the Standard Deviation of the Returns on a Share

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What is the standard deviation of the returns on a share given the following information?  State of Economy  Probability of State of Economy  Rate of Return if State Occurs  Boom 10%16% Normal 60%11% Recession 30%8%\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}


Definitions:

Total Dollars

Refers to the aggregate amount of currency in various forms within a particular economic context.

Import Tariffs

Taxes imposed by a government on goods imported from other countries to protect domestic industries or to generate revenue.

Quotas

Quotas are limits set by a government on the amount of a particular commodity that can be imported or produced domestically in a certain period, used as a means to regulate trade and support local industries.

Comparative Advantage

The ability of an entity (could be a person, company, or country) to produce a good or service at a lower opportunity cost than another.

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