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Proportional reinsurance for fractional Brownian risk model

Probability 2020-10-02 v1

Abstract

This paper investigates ruin probabilities for a two-dimensional fractional Brownian risk model with a proportional reinsurance scheme. We focus on joint and simultaneous ruin probabilities in a finite-time horizon. The risk processes of both insurance and reinsurance companies are composed of a large number of i.i.d. sub-risk processes, representing independent businesses. We derive the asymptotics as the initial capital tends to infinity.

Keywords

Cite

@article{arxiv.2010.00222,
  title  = {Proportional reinsurance for fractional Brownian risk model},
  author = {Krzysztof Kȩpczyński},
  journal= {arXiv preprint arXiv:2010.00222},
  year   = {2020}
}