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In [1] Zawadoski introduces a banking network model in which the asset and counter-party risks are treated separately and the banks hedge their assets risks by appropriate OTC contracts. In his model, each bank has only two counter-party…

Risk Management · Quantitative Finance 2018-08-20 Bhaskar DasGupta , Lakshmi Kaligounder

There is a widespread recent interest in using ideas from statistical physics to model certain types of problems in economics and finance. The main idea is to derive the macroscopic behavior of the market from the random local interactions…

Probability · Mathematics 2020-10-15 Daniel Remenik

We explore a stochastic model that enables capturing external influences in two specific ways. The model allows for the expression of uncertainty in the parametrisation of the stochastic dynamics and incorporates patterns to account for…

Pricing of Securities · Quantitative Finance 2024-04-11 Felix L. Wolf , Griselda Deelstra , Lech A. Grzelak

We pursue an inverse approach to utility theory and consumption & investment problems. Instead of specifying an agent's utility function and deriving her actions, we assume we observe her actions (i.e. her consumption and investment…

Portfolio Management · Quantitative Finance 2015-03-17 Alexander M. G. Cox , David Hobson , Jan Obloj

We present a model of predatory traders interacting with each other in the presence of a central reserve (which dissipates their wealth through say, taxation), as well as inflation. This model is examined on a network for the purposes of…

General Finance · Quantitative Finance 2015-06-04 Anita Mehta

A minimal stochastic dynamical model of the interbank network is introduced, with linear interactions mediated by an integral of recent variations. Defining stress as the variance over the banks' states, the interaction correction to the…

Mathematical Finance · Quantitative Finance 2023-11-30 Andrea Auconi

In portfolio compression, market participants (banks, organizations, companies, financial agents) sign contracts, creating liabilities between each other, which increases the systemic risk. Large, dense markets commonly can be compressed by…

Computational Engineering, Finance, and Science · Computer Science 2022-12-20 Mihály Péter Hanics

We study an optimal investment/consumption problem in a model capturing market and credit risk dependencies. Stochastic factors drive both the default intensity and the volatility of the stocks in the portfolio. We use the martingale…

Mathematical Finance · Quantitative Finance 2018-06-20 Lijun Bo , Agostino Capponi

We use the theory of complex networks in order to quantitatively characterize the formation of communities in a particular financial market. The system is composed by different banks exchanging on a daily basis loans and debts of liquidity.…

Physics and Society · Physics 2009-11-13 G. De Masi , G. Iori , G. Caldarelli

This paper analyzes and explicitly solves a class of long-term average impulse control problems with a specific mean-field interaction. The underlying process is a general one-dimensional diffusion with appropriate boundary behavior. The…

Optimization and Control · Mathematics 2026-02-04 K. L. Helmes , R. H. Stockbridge , C. Zhu

How does the monetary and fiscal policy mix alter households' saving incentives? To answer these questions, we build a heterogenous agents New Keynesian model where three different types of agents can save in assets with different liquidity…

General Economics · Economics 2025-01-30 Cristiano Cantore , Edoardo Leonardi

A continuous-time consumption-investment model with constraint is considered for a small investor whose decisions are the consumption rate and the allocation of wealth to a risk-free and a risky asset with logarithmic Brownian motion…

Portfolio Management · Quantitative Finance 2022-01-06 Zuo Quan Xu , Fahuai Yi

We report a study of a stylized banking cascade model investigating systemic risk caused by counter party failure using liabilities and assets to define banks' balance sheet. In our stylized system, banks can be in two states: normally…

General Finance · Quantitative Finance 2015-06-18 Annika Birch , Tomaso Aste

The lifetime behaviour of loans is notoriously difficult to model, which can compromise a bank's financial reserves against future losses, if modelled poorly. Therefore, we present a data-driven comparative study amongst three techniques in…

Risk Management · Quantitative Finance 2026-04-22 Arno Botha , Tanja Verster , Roland Breedt

We consider an investor who, while maximizing his/her expected utility, also compares the outcome to a reference entity. We recall the notion of personal equilibrium and show that, in a multistep, generically incomplete financial market…

Portfolio Management · Quantitative Finance 2025-12-10 Laurence Carassus , Miklós Rásonyi

Inspired by recent ideas on how the analysis of complex financial risks can benefit from analogies with independent research areas, we propose an unorthodox framework for mapping microfinance credit risk---a major obstacle to the…

Risk Management · Quantitative Finance 2018-11-21 Joung-Hun Lee , Marko Jusup , Boris Podobnik , Yoh Iwasa

We propose an interacting particle system to model the evolution of a system of banks with mutual exposures. In this model, a bank defaults when its normalized asset value hits a lower threshold, and its default causes instantaneous losses…

Probability · Mathematics 2017-05-03 Sergey Nadtochiy , Mykhaylo Shkolnikov

Consider the problem of a central bank that wants to manage the exchange rate between its domestic currency and a foreign one. The central bank can purchase and sell the foreign currency, and each intervention on the exchange market leads…

Optimization and Control · Mathematics 2017-12-07 Giorgio Ferrari , Tiziano Vargiolu

The process of contagiousness spread modelling is well-known in epidemiology. However, the application of spread modelling to banking market is quite recent. In this work, we present a system of ordinary differential equations, simulating…

Optimization and Control · Mathematics 2018-02-19 Olena Kostylenko , Helena Sofia Rodrigues , Delfim F. M. Torres

In this paper, we consider a generic interest rate market in the presence of roll-over risk, which generates spreads in spot/forward term rates. We do not require classical absence of arbitrage and rely instead on a minimal market viability…

Pricing of Securities · Quantitative Finance 2023-10-06 Claudio Fontana , Simone Pavarana , Wolfgang J. Runggaldier