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We consider financial networks, where banks are connected by contracts such as debts or credit default swaps. We study the clearing problem in these systems: we want to know which banks end up in a default, and what portion of their…

Computational Engineering, Finance, and Science · Computer Science 2020-11-23 Pál András Papp , Roger Wattenhofer

We study the incentives of banks in a financial network, where the network consists of debt contracts and credit default swaps (CDSs) between banks. One of the most important questions in such a system is the problem of deciding which of…

Risk Management · Quantitative Finance 2020-02-19 Pál András Papp , Roger Wattenhofer

We study computational problems in financial networks of banks connected by debt contracts and credit default swaps (CDSs). A main problem is to determine \emph{clearing} payments, for instance right after some banks have been exposed to a…

Computer Science and Game Theory · Computer Science 2024-09-30 Simon Dohn , Kristoffer Arnsfelt Hansen , Asger Klinkby

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

Financial networks model a set of financial institutions (firms) interconnected by obligations. Recent work has introduced to this model a class of obligations called credit default swaps, a certain kind of financial derivatives. The main…

Computational Complexity · Computer Science 2022-01-17 Stavros D. Ioannidis , Bart de Keijzer , Carmine Ventre

The events of the last few years revealed an acute need for tools to systematically model and analyze large financial networks. Many applications of such tools include the forecasting of systemic failures and analyzing probable effects of…

Computational Finance · Quantitative Finance 2012-09-19 Zhang Li , Ilya Pollak

A financial system is represented by a network, where nodes correspond to banks, and directed labeled edges correspond to debt contracts between banks. Once a payment schedule has been defined, where we assume that a bank cannot refuse a…

Computer Science and Game Theory · Computer Science 2024-10-24 Panagiotis Kanellopoulos , Maria Kyropoulou , Hao Zhou

The 2008 financial crisis has been attributed to "excessive complexity" of the financial system due to financial innovation. We employ computational complexity theory to make this notion precise. Specifically, we consider the problem of…

Risk Management · Quantitative Finance 2019-05-21 Steffen Schuldenzucker , Sven Seuken , Stefano Battiston

We analyze how interdependencies between organizations in financial networks can lead to multiple possible equilibrium outcomes. A multiplicity arises if and only if there exists a certain type of dependency cycle in the network that allows…

Computer Science and Game Theory · Computer Science 2023-07-07 Matthew O. Jackson , Agathe Pernoud

Financial networks raise a significant computational challenge in identifying insolvent firms and evaluating their exposure to systemic risk. This task, known as the clearing problem, is computationally tractable when dealing with simple…

Computational Complexity · Computer Science 2023-12-14 Stavros D. Ioannidis , Bart de Keijzer , Carmine Ventre

Widespread default involves substantial deadweight costs which could be countered by injecting capital into failing firms. Injections have positive spillovers that can trigger a repayment cascade. But which firms should a regulator bailout…

Theoretical Economics · Economics 2024-06-19 Krishna Dasaratha , Santosh Venkatesh , Rakesh Vohra

Financial networks are characterized by complex structures of mutual obligations. These obligations are fulfilled entirely or in part (when defaults occur) via a mechanism called clearing, which determines a set of payments that settle the…

Optimization and Control · Mathematics 2025-10-09 Giuseppe Calafiore , Giulia Fracastoro , Anton V. Proskurnikov

A debt swap is an elementary edge swap in a directed, weighted graph, where two edges with the same weight swap their targets. Debt swaps are a natural and appealing operation in financial networks, in which nodes are banks and edges…

Data Structures and Algorithms · Computer Science 2026-01-30 Henri Froese , Martin Hoefer , Lisa Wilhelmi

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

The debts' clearing problem is about clearing all the debts in a group of $n$ entities (e.g. persons, companies) using a minimal number of money transaction operations. In our previous works we studied the problem, gave a dynamic…

Data Structures and Algorithms · Computer Science 2011-11-17 C. Pătcaş

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

This paper studies the problem of optimally allocating a cash injection into a financial system in distress. Given a one-period borrower-lender network in which all debts are due at the same time and have the same seniority, we address the…

Risk Management · Quantitative Finance 2014-12-18 Zhang Li , Xiaojun Lin , Borja Peleato-Inarrea , Ilya Pollak

The debts' clearing problem is about clearing all the debts in a group of n entities (persons, companies etc.) using a minimal number of money transaction operations. The problem is known to be NP-hard in the strong sense. As for many…

Neural and Evolutionary Computing · Computer Science 2014-02-27 Csaba Patcas , Attila Bartha

This paper proposes a novel dynamical model for determining clearing payments in financial networks. We extend the classical Eisenberg-Noe model of financial contagion to multiple time periods, allowing financial operations to continue…

Optimization and Control · Mathematics 2024-01-17 Giuseppe C. Calafiore , Giulia Fracastoro , Anton V. Proskurnikov

We derive a closed form solution for an optimal control problem related to an interbank lending schemes subject to terminal probability constraints on the failure of banks which are interconnected through a financial network. The derived…

Mathematical Finance · Quantitative Finance 2019-10-07 Francesco Cordoni , Luca Di Persio , Luca Prezioso
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