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Ruin Probabilities for a Sparre Andersen Model with Investments

Probability 2020-12-15 v1

Abstract

We study a Sparre Andersen model in which the business activity of the company is described by a compound renewal process with drift assuming that the capital reserves are invested in a risky asset. The price of the latter is assumed to evolve according to a geometric L\'evy process. We prove that the asymptotic behavior of the ruin probability depends to a large extent only on the properties of the price process.

Cite

@article{arxiv.2012.06673,
  title  = {Ruin Probabilities for a Sparre Andersen Model with Investments},
  author = {Ernst Eberlain and Yuri Kabanov and Thorsten Schmidt},
  journal= {arXiv preprint arXiv:2012.06673},
  year   = {2020}
}

Comments

17 pages

R2 v1 2026-06-23T20:54:55.994Z