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Expected shortfall (ES) is a risk measure—a concept used in the field of financial risk measurement to evaluate the market risk or credit risk of a portfolio. The "expected shortfall at q% level" is the expected return on the portfolio in the worst q % {\displaystyle q\%} of cases.
The average value at risk (sometimes called expected shortfall or conditional value-at-risk or ) is a coherent risk measure, even though it is derived from Value at Risk which is not. The domain can be extended for more general Orlitz Hearts from the more typical Lp spaces .
Under some formulations, it is only equivalent to expected shortfall when the underlying distribution function is continuous at (), the value at risk of level . [2] Under some other settings, TVaR is the conditional expectation of loss above a given value, whereas the expected shortfall is the product of this value with the probability of ...
For example, if a portfolio of stocks has a one-day 5% VaR of $1 million, that means that there is a 0.05 probability that the portfolio will fall in value by more than $1 million over a one-day period if there is no trading. Informally, a loss of $1 million or more on this portfolio is expected on 1 day out of 20 days (because of 5% probability).
For example, assume that , …, are independent discrete random variables that take distinct values. For fixed values of w {\displaystyle {\boldsymbol {w}}} and t , {\displaystyle t,} the complexity of computing the objective function given in problem ( 13 ) is of order m k {\displaystyle mk} while the computing time for the objective function ...
An example of the first resample might look like this X 1 * = x 2, x 1, x 10, x 10, x 3, x 4, x 6, x 7, x 1, x 9. There are some duplicates since a bootstrap resample comes from sampling with replacement from the data. Also the number of data points in a bootstrap resample is equal to the number of data points in our original observations.
U.S. existing home sales dropped more than expected in January after three straight monthly increases as high mortgage rates and house prices stifled demand. Home sales decreased 4.9% last month ...
Shortfall may refer to: Benefit shortfall , the result of actual benefits of a venture being less than the projected or estimated benefits Expected shortfall , a risk measure—a concept used in the field of financial risk measurement to evaluate the market risk or credit risk of a portfolio