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Exponential convergence rate of ruin probabilities for level-dependent Lévy-driven risk processes

  • Pierre-Olivier Goffard (a1) and Andrey Sarantsev (a2)


We find explicit estimates for the exponential rate of long-term convergence for the ruin probability in a level-dependent Lévy-driven risk model, as time goes to infinity. Siegmund duality allows us to reduce the problem to long-term convergence of a reflected jump-diffusion to its stationary distribution, which is handled via Lyapunov functions.


Corresponding author

*Postal address: LSAF EA2429, Université Lyon 1, 50 Avenue Tony Garnier, Institut de Science Financière et d’Assurances, F-69007 Lyon, France. Email address:
**Postal address: Department of Mathematics and Statistics, University of Nevada, Reno, 1664 North Virginia Street, NV 89557, USA. Email address:


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Exponential convergence rate of ruin probabilities for level-dependent Lévy-driven risk processes

  • Pierre-Olivier Goffard (a1) and Andrey Sarantsev (a2)


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