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We analyze cascades of defaults in an interbank loan market. The novel feature of this study is that the network structure and the size distribution of banks are derived from empirical data. We find that the ability of a defaulted…

Statistical Finance · Quantitative Finance 2016-01-21 Fariba Karimi , Matthias Raddant

We propose a unified structural credit risk model incorporating both insolvency and illiquidity risks, in order to investigate how a firm's default probability depends on the liquidity risk associated with its financing structure. We assume…

Risk Management · Quantitative Finance 2015-04-01 Gechun Liang , Eva Lütkebohmert , Wei Wei

Excessive leverage, i.e. the abuse of debt financing, is considered one of the primary factors in the default of financial institutions. Systemic risk results from correlations between individual default probabilities that cannot be…

Risk Management · Quantitative Finance 2013-03-25 Paolo Tasca , Pavlin Mavrodiev , Frank Schweitzer

We introduce pricing formulas for competition and collusion models of two-sided markets with an outside option. For the competition model, we find conditions under which prices and consumer surplus may increase or decrease if the outside…

General Economics · Economics 2025-05-12 Cristian Chica , Yinglong Guo , Gilad Lerman

This paper generalizes the framework for arbitrage-free valuation of bilateral counterparty risk to the case where collateral is included, with possible re-hypotecation. We analyze how the payout of claims is modified when collateral…

Risk Management · Quantitative Finance 2011-01-21 Damiano Brigo , Agostino Capponi , Andrea Pallavicini , Vasileios Papatheodorou

In this paper we explore optimal liquidation in a market populated by a number of heterogeneous market makers that have limited inventory-carrying and risk-bearing capacity. We derive a reduced form model for the dynamic of their aggregated…

Trading and Market Microstructure · Quantitative Finance 2022-09-01 Marina Di Giacinto , Claudio Tebaldi , Tai-Ho Wang

Price-mediated contagion occurs when a positive feedback loop develops following a drop in asset prices which forces banks and other financial institutions to sell their holdings. Prior studies of such events fix the level of market…

Risk Management · Quantitative Finance 2024-09-05 Zhiyu Cao , Zachary Feinstein

We consider a structural default model in an interconnected banking network as in Lipton [International Journal of Theoretical and Applied Finance, 19(6), 2016], with mutual obligations between each pair of banks. We analyse the model…

Computational Finance · Quantitative Finance 2017-01-03 Vadim Kaushansky , Alexander Lipton , Christoph Reisinger

Interbank lending and borrowing occur when financial institutions seek to settle and refinance their mutual positions over time and circumstances. This interactive process involves money creation at the aggregate level. Coordination…

General Finance · Quantitative Finance 2021-09-27 Yuri Biondi , Feng Zhou

This paper investigates two mechanisms of financial contagion that are, firstly, the correlated exposure of banks to the same source of risk, and secondly the direct exposure of banks in the interbank market. It will consider a random…

Computational Finance · Quantitative Finance 2016-03-15 Seyyed Mostafa Mousavi , Robert Mackay , Alistair Tucker

We study an optimal liquidation problem under the ambiguity with respect to price impact parameters. Our main results show that the value function and the optimal trading strategy can be characterized by the solution to a semi-linear PDE…

Mathematical Finance · Quantitative Finance 2019-09-04 Ulrich Horst , Xiaonyu Xia , Chao Zhou

We present a limits-to-arbitrage model to study the impact of securitization, leverage and credit risk protection on the cyclicity of bank credit. In a stable bank credit situation, no cycles of credit expansion or contraction appear.…

Theoretical Economics · Economics 2019-01-03 Juan Ignacio Peña

We study financial networks where banks are connected by debt contracts. We consider the operation of debt swapping when two creditor banks decide to exchange an incoming payment obligation, thus leading to a locally different network…

Risk Management · Quantitative Finance 2021-07-13 Pál András Papp , Roger Wattenhofer

We consider a model of contagion in financial networks recently introduced in the literature, and we characterize the effect of a few features empirically observed in real networks on the stability of the system. Notably, we consider the…

General Finance · Quantitative Finance 2011-09-07 Fabio Caccioli , Thomas A. Catanach , J. Doyne Farmer

We study financial networks where banks are connected through bilateral liabilities and may default when resources are insufficient to meet obligations. We consider both the standard proportional clearing model and a priority-proportional…

Computer Science and Game Theory · Computer Science 2026-03-31 Gergely Csáji , Rareş-Ioan Mateiu , Alexandru Popa , Ildikó Schlotter

A problem of optimal debt management is modeled as a noncooperative game between a borrower and a pool of lenders, in infinite time horizon with exponential discount. The yearly income of the borrower is governed by a stochastic process.…

Optimization and Control · Mathematics 2016-09-26 Alberto Bressan , Antonio Marigonda , Khai T. Nguyen , Michele Palladino

This paper characterizes the equilibrium in a continuous time financial market populated by heterogeneous agents who differ in their rate of relative risk aversion and face convex portfolio constraints. The model is studied in an…

General Finance · Quantitative Finance 2018-06-19 Tyler Abbot

We consider a model of debt management, where a sovereign state trade some bonds to service the debt with a pool of risk-neutral competitive foreign investors. At each time, the government decides which fraction of the gross domestic…

Optimization and Control · Mathematics 2019-09-30 Antonio Marigonda , Khai T. Nguyen

The aim of this work is to propose an end-by-end modeling framework to evaluate the risk measures of a bank's portfolio of collateralized loans in an economy subject to the climate transition. The economy, organized in sectors, is driven by…

Risk Management · Quantitative Finance 2025-05-23 Lionel Sopgoui

We consider networks of banks with assets and liabilities. Some banks may be insolvent, and a central bank can decide which insolvent banks, if any, to bail out. We view bailouts as an optimization problem where the central bank has given…

Social and Information Networks · Computer Science 2021-06-24 Beni Egressy , Roger Wattenhofer