activity
20152022
most citedRuin probabilities with investments: smoothness, IDE and ODE, asymptotic behavior

4 citations · 9 across the 9 of their papers we have counts for

collaborators

9 papers

math.OC2022

An Axiomatic Viewpoint on the Rogers--Veraart and Suzuki--Elsinger Models of Systemic Risk

Yuri Kabanov, Arthur Sidorenko

We study a model of clearing in an interbank network with crossholdings and default charges. Following the Eisenberg--Noe approach, we define the model via a set of natural financi…

math.PR2021

On ruin probabilities with investments in a risky asset with a switching regime price

Yuri Kabanov, Serguei Pergamenshchikov

We investigate the asymptotic of ruin probabilities when the company invests its reserve in a risky asset with a switching regime price. We assume that the asset price is a conditi…

math.PR2020

Ruin Probabilities for a Sparre Andersen Model with Investments

Ernst Eberlain, Yuri Kabanov, Thorsten Schmidt

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…

math.PR2020

On ruin probabilities with risky investments

Anastasiya Ellanskaya, Yuri Kabanov

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…

math.PR2020★ 4 cited

Ruin probabilities with investments: smoothness, IDE and ODE, asymptotic behavior

Yuri Kabanov, Nikita Pukhlyakov

The study deals with the ruin problem when an insurance company having two business branches, life insurance and non-life insurance, invests its reserve into a risky asset with the…

math.PR2016★ 2 cited

The ruin problem for Lévy-driven linear stochastic equations with applications to actuarial models with negative risk sums

Yuri Kabanov, Serguei Pergamenchtchikov

We study the asymptotic of the ruin probability for a process which is the solution of linear SDE defined by a pair of independent Lévy processes. Our main interest is the model de…

math.PR2015

In the Life Insurance Business Risky Investments are Dangerous

Yuri Kabanov, Serguei Pergamenshchikov

We investigate models of the life annuity insurance when the company invests its reserve into a risky asset with price following a geometric Brownian motion. Our main result is an…

math.OC2015

Consumption-Investment Problem with Transaction Costs for Lévy-Driven Price Processes

Dimitri De Vallière, Yuri Kabanov, Emmanuel Lépinette

We consider an optimal control problem for a linear stochastic integro-diffe\-rential equation with conic constraints on the phase variable and the control of singular-regular type…

math.PR2015★ 3 cited

No arbitrage and local martingale deflators

Yuri Kabanov, Constantinos Kardaras, Shiqi Song

A supermartingale deflator (resp., local martingale deflator) multiplicatively transforms nonnegative wealth processes into supermartingales (resp., local martingales). The superma…