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1 LPMA - Laboratoire de Probabilités et Modèles Aléatoires

Abstract : In these notes, we present some methods and applications of large deviations to finance and insurance. We begin with the classical ruin problem related to the Cramer-s theorem and give en extension to an insurance model with investment in stock market. We then describe how large deviation approximation and importance sampling are used in rare event simulation for option pricing. We finally focus on large deviations methods in risk management for the estimation of large portfolio losses in credit risk and portfolio performance in market investment.

Keywords : portfolio performance large deviations ruin problem importance sampling rare event simulation exit probability credit risk portfolio performance.





Author: Huyen Pham -

Source: https://hal.archives-ouvertes.fr/



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