2010•Encyclopedia of Quantitative FinanceRequires access

Convex Risk Measures

Hans Föllmer, Alexander Schied

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Abstract

Abstract We discuss the quantification of financial risk in terms of monetary risk measures. Special emphasis is on dual representations of convex risk measures, relations to expected utility and other valuation concepts, conditioning, and consistency in discrete time.

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Abstract We discuss the quantification of financial risk in terms of monetary risk measures. Special emphasis is on dual representations of convex risk measures, relations to expected utility and other valuation concepts, conditioning, and consistency in discrete time.

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OpenAlex reports 23 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Abstract We discuss the quantification of financial risk in terms of monetary risk measures. Special emphasis is on dual representations of convex risk measures, relations to expected utility and other valuation concepts, conditioning, and consistency in discrete time.

Key concepts: Time consistency, Consistency (knowledge bases), Valuation (finance), Regular polygon, Econometrics, Dual (grammatical number), Actuarial science, Coherent risk measure

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