• 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...
    34 KB (6,445 words) - 22:03, 11 January 2025
  • Thumbnail for Exponential distribution
    is ln(3)/λ. The conditional value at risk (CVaR) also known as the expected shortfall or superquantile for Exp(λ) is derived as follows: q ¯ α ( X ) = 1...
    43 KB (6,647 words) - 18:36, 1 March 2025
  • 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...
    470 bytes (103 words) - 14:12, 27 February 2024
  • Look up expected in Wiktionary, the free dictionary. Expected may refer to: Expectation (epistemic) Expected value Expected shortfall Expected utility...
    289 bytes (61 words) - 15:14, 27 April 2024
  • on losses. A third commonly used risk measure is expected shortfall, also known variously as expected tail loss, XLoss, conditional VaR, or CVaR. The Marginal...
    12 KB (1,551 words) - 19:42, 23 September 2024
  • In mathematics and mathematical optimization, the convex conjugate of a function is a generalization of the Legendre transformation which applies to non-convex...
    16 KB (2,012 words) - 14:13, 18 November 2024
  • Thumbnail for Value at risk
    related ideas are economic capital, backtesting, stress testing, expected shortfall, and tail conditional expectation. Common parameters for VaR are 1%...
    44 KB (5,759 words) - 05:35, 22 February 2025
  • losses were from trading books during the 2008 crisis" The use of expected shortfall instead of value at risk as a measure of risk under stress; thus ensuring...
    7 KB (752 words) - 22:59, 25 November 2024
  • Thumbnail for Logistic distribution
    π s t ) {\displaystyle e^{it\mu }{\frac {\pi st}{\sinh(\pi st)}}} Expected shortfall μ + s H ( p ) 1 − p {\displaystyle \mu +{\frac {sH(p)}{1-p}}} where...
    13 KB (1,783 words) - 10:09, 31 October 2024
  • Thumbnail for Neville Chamberlain
    as the May Report revealed that the budget was unbalanced, with an expected shortfall of £120 million. The Labour government resigned on 24 August, and...
    122 KB (15,348 words) - 07:49, 28 February 2025
  • Thumbnail for Normal distribution
    {\displaystyle X} ⁠ are the expected values of X p {\textstyle X^{p}} and | X | p {\textstyle |X|^{p}} , respectively. If the expected value ⁠ μ {\displaystyle...
    148 KB (22,597 words) - 21:09, 5 March 2025
  • a specialization within the French academic "baccalauréat" degree Expected shortfall, a measure of risk ES engine (disambiguation) This disambiguation...
    3 KB (401 words) - 13:06, 24 February 2025
  • Thumbnail for Laplace distribution
    1 + b 2 t 2 {\displaystyle {\frac {\exp(\mu it)}{1+b^{2}t^{2}}}} Expected shortfall { μ + b ( p 1 − p ) ( 1 − ln ⁡ ( 2 p ) ) , p < .5 μ + b ( 1 − ln ⁡...
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  • measure Distortion risk measure Spectral risk measure Value at risk Expected shortfall Entropic value at risk Scenario analysis Short (finance) Speculation...
    69 KB (5,691 words) - 13:24, 2 March 2025
  • Thumbnail for Log-normal distribution
    parameters μ {\displaystyle \mu } and σ {\displaystyle \sigma } . These are the expected value (or mean) and standard deviation of the variable's natural logarithm...
    86 KB (12,517 words) - 06:17, 4 March 2025
  • Thumbnail for Linear programming
    licenses: Convex programming Dynamic programming Expected shortfall § Optimization of expected shortfall Input–output model Job shop scheduling Least absolute...
    61 KB (6,690 words) - 14:36, 28 February 2025
  • Thumbnail for Student's t-distribution
    t distribution with   ν   {\displaystyle \ \nu \ } degrees of freedom, the expected value is   0   {\displaystyle \ 0\ } if   ν > 1   , {\displaystyle \ \nu...
    55 KB (6,354 words) - 23:51, 28 February 2025
  • supplemented with the more sophisticated Conditional value at risk / expected shortfall, Tail value at risk, and Extreme value theory. For the underlying...
    76 KB (6,793 words) - 16:36, 27 February 2025
  • Thumbnail for Autonomous spaceport drone ship
    Marmac 302 into ASOG began and was expected to move to the East Coast for operation in the following months. A Shortfall of Gravitas underwent its first...
    153 KB (6,344 words) - 15:08, 3 March 2025
  • Thumbnail for Pareto distribution
    log–log plot, the distribution is represented by a straight line. The expected value of a random variable following a Pareto distribution is E ⁡ ( X )...
    47 KB (6,024 words) - 07:52, 27 February 2025
  • L_{d}^{p}(K)\Rightarrow R(X_{2})\supseteq R(X_{1})} Value at risk Expected shortfall Superposed risk measures Entropic value at risk Drawdown Tail conditional...
    8 KB (1,237 words) - 06:43, 8 August 2024
  • theory - while this is supplemented with various forms of stress test, expected shortfall methodologies, economic capital analysis, direct analysis of the positions...
    35 KB (3,964 words) - 10:19, 18 February 2025
  • the expected capital shortfall for a firm in a crisis scenario. To calculate this SRISK, one should first determine the Long-Run Marginal Expected Shortfall...
    9 KB (1,216 words) - 06:44, 19 October 2024
  • calibrated standardised approach or internal model approval (IMA) for an expected shortfall measure rather than, under Basel II, value at risk. The Basel III:...
    42 KB (4,135 words) - 20:40, 16 February 2025
  • Thumbnail for Rise of Neville Chamberlain
    as the May Report revealed that the budget was unbalanced, with an expected shortfall of £120 million. As this information became public, there was a run...
    69 KB (8,956 words) - 04:18, 6 September 2024
  • the "Trading book" and the "Banking book" Use of value at risk vs. expected shortfall to measure of risk under stress The risk of market illiquidity In...
    10 KB (1,307 words) - 23:25, 30 August 2024
  • increases the return/risk ratio. Measures of risk include value at risk, expected shortfall, and portfolio return variance. There are several statistical measures...
    29 KB (4,165 words) - 07:37, 11 November 2024
  • distributions, chance constraints and risk measures such as Value at risk and Expected shortfall). SAMPL - a set of extensions to AMPL specifically designed to express...
    35 KB (6,069 words) - 17:53, 9 August 2024
  • have been made, however. One of its first roles was to alleviate an expected shortfall of U.S. dollars c. 1970. At this time, the United States had a conservative...
    49 KB (4,848 words) - 02:31, 4 December 2024
  • institution's contribution to systemic risk (identified as "Marginal Expected Shortfall" in Acharya et al., 2011). To address the time dimension of risk,...
    20 KB (2,508 words) - 10:12, 5 March 2025