Actuarial Risk Measures for Financial Option Pricing
Marc Goovaerts
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 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.