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Standard
deviation is probably used more than any other measure to describe the risk
of a security (or portfolio of securities).Standard deviation is one of the
most commonly used statistical tools in the sciences and social sciences.
It provides a precise measure of the amount of variation in any group of numbers.
^^^
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Beta,
ß, is a measure of market risk: the greater the beta, the more sensitive
are the returns on the stock to changes in the returns on the market. Beta
is fairly easy to interpret. A beta that is greater than one means that the
fund or stock is more volatile than the benchmark index, while a beta of less
than one means that the security is less volatile than the index. The biggest
drawback of Beta is that is that it's really only useful when calculated against
a relevant benchmark.
ß=CORRS,SP500SDSSDSP500 (divided by) (SDSP500)^2
The beta of a portfolio is the weighted average of the betas of the securities in the portfolio, where the weights are the proportion of the portfolio invested in the asset.
ßp = (sum of) wi ßi
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The
capital asset pricing model (CAPM) is based on a theory that states that the
expected return on an asset is the sum of the return on a risk-free asset
and the return commensurate with the asset's market risk. If you use CAPM
you have to assume that most investors want to avoid risk, (risk averse),
and those who do take risks, expect to be rewarded.
R(rs)= rf+ß(E(rm)-rf)
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