Financial risk modeling

Entropic value at risk

In financial mathematics and stochastic optimization, the concept of risk measure is used to quantify the risk involved in a random outcome or risk position. Many risk measures have hitherto been proposed, each having certain characteristics. The 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 value at risk (CVaR), obtained from the Chernoff inequality. The EVaR can also be represented by using the concept of relative entropy. Because of its connection with the VaR and the relative entropy, this risk measure is called "entropic value at risk". The EVaR was developed to tackle some computational inefficiencies of the CVaR. Getting inspiration from the dual representation of the EVaR, Ahmadi-Javid developed a wide class of coherent risk measures, called . Both the CVaR and the EVaR are members of this class. (Wikipedia).

Entropic value at risk
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Related pages

Expected shortfall | Complexity | Kullback–Leibler divergence | Convex function | Random variable | Risk measure | Tractable problem | Expected value | Moment-generating function | Coherent risk measure | Generalized relative entropy | Stochastic optimization | Entropic risk measure | Value at risk | Probability distribution | Dual representation | Probability space | Probability measure