Modern monetary circuit theory, stability of interconnected banking network, and balance sheet optimization for individual banks

A Lipton - International Journal of Theoretical and Applied …, 2016 - World Scientific
A modern version of monetary circuit theory with a particular emphasis on stochastic
underpinning mechanisms is developed. It is explained how money is created by the …

Integrated structural approach to credit value adjustment

L Ballotta, G Fusai, D Marazzina - European Journal of Operational …, 2019 - Elsevier
This paper proposes an integrated pricing framework for Credit Value Adjustment of equity
and commodity products. The given framework, in fact, generates dependence …

Multivariate FX models with jumps: Triangles, quantos and implied correlation

L Ballotta, G Deelstra, G Rayée - European Journal of Operational …, 2017 - Elsevier
We propose an integrated model of the joint dynamics of FX rates and asset prices for the
pricing of FX derivatives, including Quanto products; the model is based on a multivariate …

Semi-analytical solution of a McKean–Vlasov equation with feedback through hitting a boundary

A Lipton, V Kaushansky, C Reisinger - European Journal of Applied …, 2021 - cambridge.org
In this paper, we study the nonlinear diffusion equation associated with a particle system
where the common drift depends on the rate of absorption of particles at a boundary. We …

Numerical analysis of an extended structural default model with mutual liabilities and jump risk

V Kaushansky, A Lipton, C Reisinger - Journal of computational science, 2018 - Elsevier
We consider a structural default model in an interconnected banking network as in [1], with
mutual obligations between each pair of banks. We analyse the model numerically for two …

Structural default model with mutual obligations

A Itkin, A Lipton - Review of Derivatives Research, 2017 - Springer
In this paper we consider mutual obligations in an interconnected bank system and analyze
their impact on the joint and marginal survival probabilities for individual banks. We also …

LSV models with stochastic interest rates and correlated jumps

A Itkin - International Journal of Computer Mathematics, 2017 - Taylor & Francis
Pricing and hedging exotic options using local stochastic volatility models drew a serious
attention within the last decade, and nowadays became almost a standard approach to this …

Quanto implied correlation in a multi-Lévy framework

L Ballotta, G Deelstra, G Rayée - Available at SSRN 2569015, 2015 - papers.ssrn.com
In this paper we apply the multivariate construction for Lévy processes introduced by Ballotta
and Bonfiglioli (2014) to propose an integrated model for the joint dynamics of FX exchange …

Transition probability of Brownian motion in the octant and its application to default modelling

V Kaushansky, A Lipton, C Reisinger - Applied Mathematical …, 2018 - Taylor & Francis
We derive a semi-analytical formula for the transition probability of three-dimensional
Brownian motion in the positive octant with absorption at the boundaries. Separation of …

[PDF][PDF] Semi-analytical solution of a McKean-Vlasov equation with feedback through hitting a boundary

V Kaushansky, A Lipton… - arxiv preprint arxiv …, 2018 - researchgate.net
In this paper, we study the non-linear diffusion equation associated with a particle system
where the common drift depends on the rate of absorption of particles at a boundary. We …