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Actuarial risk measures for financial derivative pricing

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Author Info
Goovaerts, Marc J.
Laeven, Roger J.A.

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Abstract

We present an axiomatic characterization of price measures that are superadditive and comonotonic additive for normally distributed random variables. The price representation derived involves a probability measure transform that is closely related to the Esscher transform, and we call it the Esscher-Girsanov transform. In a financial market in which the primary asset price is represented by a stochastic differential equation with respect to Brownian motion, the price mechanism based on the Esscher-Girsanov transform can generate approximate-arbitrage-free financial derivative prices.

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Publisher Info
Article provided by Elsevier in its journal Insurance: Mathematics and Economics.

Volume (Year): 42 (2008)
Issue (Month): 2 (April)
Pages: 540-547
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Handle: RePEc:eee:insuma:v:42:y:2008:i:2:p:540-547

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Web page: http://www.elsevier.com/locate/inca/505554

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  1. Henryk, Gzyl & Silvia, Mayoral, 2006. "On a relationship between distorted and spectral risk measures," MPRA Paper 916, University Library of Munich, Germany, revised 28 Jun 2007. [Downloadable!]
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This page was last updated on 2009-12-3.


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