Actuarial risk measures for financial derivative pricing

Open Access
Authors
Publication date 2008
Journal Insurance: Mathematics & Economics
Volume | Issue number 42 | 2
Pages (from-to) 540-547
Organisations
  • Faculty of Economics and Business (FEB) - Amsterdam School of Economics Research Institute (ASE-RI)
  • Faculty of Economics and Business (FEB) - Amsterdam Business School Research Institute (ABS-RI)
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.
Document type Article
Published at https://doi.org/10.1016/j.insmatheco.2007.04.001
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