English

On ruin probabilities with risky investments

Probability 2020-12-10 v1

Abstract

We investigate the asymptotic of ruin probabilities when the company combines the life- and non-life insurance businesses and invests its reserve into a risky asset with stochastic volatility and drift driven by a two-state Markov process. Using the technique of the implicit renewal theory we obtain the rate of convergence to zero of the ruin probabilities.

Keywords

Cite

@article{arxiv.2012.05083,
  title  = {On ruin probabilities with risky investments},
  author = {Anastasiya Ellanskaya and Yuri Kabanov},
  journal= {arXiv preprint arXiv:2012.05083},
  year   = {2020}
}

Comments

10 pages

R2 v1 2026-06-23T20:50:47.339Z