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Pré-Publication, Document De Travail Année : 2007

Some applications and methods of large deviations in finance and insurance

Résumé

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.
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Dates et versions

hal-00131578 , version 1 (16-02-2007)
hal-00131578 , version 2 (19-02-2007)

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Huyen Pham. Some applications and methods of large deviations in finance and insurance. 2007. ⟨hal-00131578v2⟩
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