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Coherent risk measure information


In the fields of actuarial science and financial economics there are a number of ways that risk can be defined; to clarify the concept theoreticians have described a number of properties that a risk measure might or might not have. A coherent risk measure is a function that satisfies properties of monotonicity, sub-additivity, homogeneity, and translational invariance.

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Coherent risk measure

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number of properties that a risk measure might or might not have. A coherent risk measure is a function that satisfies properties of monotonicity, sub-additivity...

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Risk measure

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recent years attention has turned towards convex and coherent risk measurement. A risk measure is defined as a mapping from a set of random variables...

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Entropic value at risk

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entropic value at risk (EVaR) is a coherent risk measure introduced by Ahmadi-Javid, which is an upper bound for the value at risk (VaR) and the conditional...

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Coherence

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to be constant Coherent, Inc., a company specializing in equipment to make and measure coherent light (lasers) Coherent risk measure in financial economics...

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List of financial performance measures

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reinvested Risk measure Distortion risk measure Tail conditional expectation Value at risk Convex risk measure Entropic risk measure Coherent risk measure Discounted...

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Value at risk

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Value at risk (VaR) is a measure of the risk of loss of investment/Capital. It estimates how much a set of investments might lose (with a given probability)...

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Spectral risk measure

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A spectral risk measure is always a coherent risk measure, but the converse does not always hold. An advantage of spectral measures is the way in which...

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Distortion risk measure

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distortion risk measure with associated distortion function g ( x ) = x {\displaystyle g(x)=x} . Risk measure Coherent risk measure Deviation risk measure Spectral...

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RiskMetrics

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minimum risk only if the risk measure is subadditive. A coherent risk measure satisfies the following four properties: 1. Subadditivity A risk measure is subadditive...

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Market risk

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therefore not a coherent risk measure. As a result, other suggestions for measuring market risk is conditional value-at-risk (CVaR) that is coherent for general...

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Entropic risk measure

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individual is difficult to do. The entropic risk measure is the prime example of a convex risk measure which is not coherent. Given the connection to utility functions...

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Risk metric

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risk (finance/actuarial) Probability of default (finance/actuarial) Risk measure Coherent risk measure Deviation risk measure Spectral risk measure Distortion...

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Dynamic risk measure

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risk measure is a random variable of the financial risk (particularly the downside risk) as if measured at some point in the future. A risk measure can...

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Expected shortfall

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is considered a more useful risk measure than VaR because it is a coherent spectral measure of financial portfolio risk. It is calculated for a given...

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Tail value at risk

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a coherent risk measure in general, however it is coherent if the underlying distribution is continuous. The latter definition is a coherent risk measure...

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Deviation risk measure

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deviation risk measure is a function to quantify financial risk (and not necessarily downside risk) in a different method than a general risk measure. Deviation...

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Avar

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abbreviation of assistant video assistant referee Average value at risk, a coherent risk measure in finance Avari (Middle-earth), a group of Elves in the Lord...

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Esscher principle

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Esscher transform. This risk measure does not respect the positive homogeneity property of coherent risk measure for h > 0 {\displaystyle h>0} . v t e...

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Outline of finance

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return Risk Financial risk Risk management Financial risk management Uncompensated risk Risk measure Coherent risk measure Deviation risk measure Distortion...

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Philippe De Brouwer

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should be optimized with a coherent risk measure taking into account the parameters from that goal (such as acceptable risk level, investment horizon,...

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Freddy Delbaen

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Heath, David (1997). "Coherent Risk Measures". Mathematical Finance. 3 (3): 203–228. Freddy Delbaen (2002). "Coherent risk measures on general probability...

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Friendly artificial intelligence

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considerable. Yudkowsky advances the Coherent Extrapolated Volition (CEV) model. According to him, our coherent extrapolated volition is "our wish if...

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Acceptance set

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assets. An acceptance set is convex (coherent) if and only if the corresponding risk measure is convex (coherent). As defined below it can be shown that...

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Superhedging price

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The superhedging price is a coherent risk measure. The superhedging price of a portfolio (A) is equivalent to the smallest amount necessary to be paid...

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Subadditivity

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properties of coherent risk measures in risk management. The economic intuition behind risk measure subadditivity is that a portfolio risk exposure should...

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Discounted maximum loss

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therefore a coherent risk measure. The worst-case risk measure ρ max {\displaystyle \rho _{\max }} is the most conservative (normalized) risk measure in the...

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Capital asset pricing model

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other risk measures (like coherent risk measures) will reflect the active and potential shareholders' preferences more adequately. Indeed, risk in financial...

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Modern portfolio theory

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our intuitive concept of risk is fundamentally asymmetric in nature. There many other risk measures (like coherent risk measures) might better reflect investors'...

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