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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 FRTB revisions address deficiencies relating to the existing [8] Standardised approach and Internal models approach [9] and particularly revisit the following: . The boundary between the "trading book" and the "banking book": [10] i.e. assets intended for active trading; as opposed to assets expected to be held to maturity, usually customer loans, and deposits from retail and corporate ...
Basel III requires banks to have a minimum CET1 ratio (Common Tier 1 capital divided by risk-weighted assets (RWAs)) at all times of: . 4.5%; Plus: A mandatory "capital conservation buffer" or "stress capital buffer requirement", equivalent to at least 2.5% of risk-weighted assets, but could be higher based on results from stress tests, as determined by national regulators.
That is, if portfolio always has better values than portfolio under almost all scenarios then the risk of should be less than the risk of . [2] E.g. If is an in the money call option (or otherwise) on a stock, and is also an in the money call option with a lower strike price.
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 ...
Here, α is a "multiplier" of 1.4, acting as a buffer to ensure sufficient coverage; and: RC is the "Replacement Cost" were the counterparty to default today: the current exposure, i.e. mark-to-market of all trades, is aggregated by counterparty, and then netted-off with haircutted-collateral.
The most well-known examples of risk deviation measures are: [1] Standard deviation ... is Expected shortfall. See also. Unitized risk ...
The value of this option is equal to the suitably discounted expected value of the payoff (,) under the probability distribution of the process . Except for the special cases of β = 0 {\displaystyle \beta =0} and β = 1 {\displaystyle \beta =1} , no closed form expression for this probability distribution is known.