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The use of expected shortfall instead of value at risk as a measure of risk under stress; thus ensuring that banks capture tail risk events; The risk of market illiquidity; FRTB additionally sets a "higher bar" for banks to use their own, internal models for calculating capital, as opposed to the standardised approach. [2]
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 % of cases.
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.
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 .
Because of its two-step aggregation, capital allocation between trading desks (or even asset classes) is challenging; thus making it difficult to fairly calculate each desk's risk-adjusted return on capital. Various methods are then proposed here. [3]
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 ...
In this approach, banks calculate their own risk parameters subject to meeting some minimum guidelines. However, the foundation approach is not available for Retail exposures. For equity exposures, calculation of risk-weighted assets not held in the trading book can be calculated using two different ways: a PD/LGD approach or a market-based ...
In probability theory, a log-normal (or lognormal) distribution is a continuous probability distribution of a random variable whose logarithm is normally distributed.Thus, if the random variable X is log-normally distributed, then Y = ln(X) has a normal distribution.