Definition of Beta coefficient

Beta coefficient

A measurement of the extent to which the returns on a given stock move with stock market.

Security market line

Line representing the relationship between expected return and market risk.
Security market plane A plane that shows the equilibrium between expected return and the beta coefficient
of more than one factor.
Security selection
See: security selection decision.

Security Market Line

A graph illustrating the equilibrium relationship between the
expected rate of return on securities and their risk as measured by
the beta coefficient

Market Risk

The part of security's risk that cannot be eliminated by diversification. It is measured by the beta coefficient.

Beta (Mutual Funds)

The measure of a fund's or stocks risk in relation to the market. A beta of 0.7 means
the fund's total return is likely to move up or down 70% of the market change; 1.3 means total return is likely
to move up or down 30% more than the market. beta is referred to as an index of the systematic risk due to
general market conditions that cannot be diversified away.

Beta equation (Mutual Funds)

The beta of a fund is determined as follows:
[(n) (sum of (xy)) ]-[ (sum of x) (sum of y)]
[(n) (sum of (xx)) ]-[ (sum of x) (sum of x)]
where: n = # of observations (36 months)
x = rate of return for the S&P 500 Index
y = rate of return for the fund

Beta equation (Stocks)

The beta of a stock is determined as follows:
[(n) (sum of (xy)) ]-[(sum of x) (sum of y)]
[(n) (sum of (xx)) ]-[(sum of x) (sum of x)]
where: n = # of observations (24-60 months)
x = rate of return for the S&P 500 Index
y = rate of return for the stock

Coefficient of determination

A measure of the goodness of fit of the relationship between the dependent and
independent variables in a regression analysis; for instance, the percentage of variation in the return of an
asset explained by the market portfolio return.

Correlation coefficient

A standardized statistical measure of the dependence of two random variables,
defined as the covariance divided by the standard deviations of two variables.

Country beta

Covariance of a national economy's rate of return and the rate of return the world economy
divided by the variance of the world economy.

Expected return-beta relationship

Implication of the CAPM that security risk premiums will be
proportional to beta.

Foreign market beta

A measure of foreign market risk that is derived from the capital asset pricing model.

Fundamental beta

The product of a statistical model to predict the fundamental risk of a security using not
only price data but other market-related and financial data.

Information Coefficient (IC)

The correlation between predicted and actual stock returns, sometimes used to
measure the value of a financial analyst. An IC of 1.0 indicates a perfect linear relationship between predicted
and actual returns, while an IC of 0.0 indicates no linear relationship.

Leveraged beta

The beta of a leveraged required return; that is, the beta as adjusted for the degree of
leverage in the firm's capital structure.

Unleveraged beta

The beta of an unleveraged required return (i.e. no debt) on an investment when the
investment is financed entirely by equity.

Zero-beta portfolio

A portfolio constructed to represent the risk-free asset, that is, having a beta of zero.

Beta

A measure of the riskiness of a specific security compared to the
riskiness of the market as a whole; measure of the systematic risk
of a security or a portfolio of securities

Correlation Coefficient

A measure of the tendency of two variables to change values
together

coefficient of correlation

a measure of dispersion that indicates the degree of relative association existing between two variables

coefficient of determination

a measure of dispersion that
indicates the “goodness of fit” of the actual observations
to the least squares regression line; indicates what proportion
of the total variation in y is explained by the regression model

coefficient of variation

a measure of risk used when the standard deviations for multiple projects are approximately
the same but the expected values are significantly different

input-output coefficient

a number (prefaced as a multiplier
to an unknown variable) that indicates the rate at which each
decision variable uses up (or depletes) the scarce resource

Beta

The price volatility of a financial instrument relative to the price
volatility of a market or index as a whole. beta is most commonly used with
respect to equities. A high-beta instrument is riskier than a low-beta
instrument.

Correlation coefficient

A statistic in which the covariance is scaled to a
value between minus one (perfect negative correlation) and plus one (perfect
positive correlation).

beta

Sensitivity of a stock’s return to the return on the market
portfolio.

Beta risk

Risk of a firm measured from the standpoint of an investor who holds a highly diversified portfolio.

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