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Compute the Standard Deviation of the Expected Return Given These

question 77

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Compute the standard deviation of the expected return given these three economic states, their likelihoods, and the potential returns:
 Eccrorric State  Probability  Return  fast growth 0.150%slow growth 0.68% recession 0.310%\begin{array}{l}\begin{array} { c c r } \text { Eccrorric State }&\text { Probability } & \text { Return } \\\text { fast growth }&0.1 & 50 \% \\\text {slow growth }&0.6 & 8\% \\\text { recession }&0.3 & - 10\%\end{array}\end{array}


Definitions:

Positive Externality

A benefit gained by a third party not directly involved in a transaction or activity, where the social or economic gain is not reflected in the market price.

Social Planner

A theoretical decision-maker in economics who aims to achieve optimal outcomes for society by considering the allocation of resources and distribution of goods and services.

Subsidy

A payment made by the government to a firm, industry, or individual, usually to encourage the production of a certain good or service or to reduce its price for consumers.

Output

The quantity of goods or services produced in a given time period, by a firm, industry, or country.

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