Combined functionals as risk measures
نویسنده
چکیده
Institute of Computational Modeling SB RAS, Academgorodok, Krasnoyarsk, Russia, 660036 e-mail: [email protected], phone +7 3912 495382 Abstract Risk measures are widely used in insurance pricing, portfolio selection, and in decision-making in general. Two prevalent classes of risk measures are expected utility (a dollar transform), and distorted probability (a probability transform). Both approaches exhibit properties which are not supported by empirical evidence on decision-making under risk. We propose a combined functional (dollar and probability transform) which may combine advantages of both approaches. The present paper develops representation theorems and axiomatic descriptions, presents applications to decision-making under risk, premium calculation, and portfolio selection; and includes numeric and graphical illustrations.
منابع مشابه
A Representation for Characteristic Functionals of Stable Random Measures with Values in Sazonov Spaces
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