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most citedRuin Probabilities for a Sparre Andersen Model with Investments: the Case of Annuity Payments

6 citations · 7 across the 8 of their papers we have counts for

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math.PR2025★ 1 cited

Distributional equations and the ruin problem for the Sparre Andersen model with investments

Yuri Kabanov, Danil Legenkiy, Platon Promyslov

This note is an addendum to the work initiated by Eberlein, Kabanov, and Schmidt and developed further by Kabanov and Promyslov on the asymptotics of the ruin probabilities in the…

math.PR2025

On the entropy minimal martingale measure in the exponential Ornstein-Uhlenbeck stochastic volatility model

Yuri Kabanov, Mikhail A. Sonin

We consider a stochastic volatility model where the price evolution depend on the exponential of the Ornstein--Uhlenbeck process. After a brief revision of the related theory the e…

math.PR2024

Ruin problems with investments on a finite interval: PIDEs and their viscosity solutions

Viktor Antipov, Yuri Kabanov

The study deals with the ruin problem when an insurance company invests its reserve in a risky asset whose the price dynamics is given by a geometric Lévy process. Considering the…

math.PR2023

Ruin probabilities with investments in random environment: smoothness

Viktor Antipov, Yuri Kabanov

The paper deals with the ruin problem of an insurance company investing its capital reserve in a risky asset with the price dynamics given by a conditional geometric Brownian motio…

math.PR2023★ 6 cited

Ruin Probabilities for a Sparre Andersen Model with Investments: the Case of Annuity Payments

Yuri Kabanov, Platon Promyslov

This note is a complement to the paper by Eberlein, Kabanov, and Schmidt on the asymptotic of the ruin probability in a Sparre Andersen non-life insurance model with investments a…