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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

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

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

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

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

We study the problem of allocating bailouts (stimulus, subsidy allocations) to people participating in a financial network subject to income shocks. We build on the financial clearing framework of Eisenberg and Noe that allows the…

Social and Information Networks · Computer Science 2022-05-02 Marios Papachristou , Jon Kleinberg

We study financial networks with debt contracts and credit default swaps between specific pairs of banks. Given such a financial system, we want to decide which of the banks are in default, and how much of their liabilities can these…

Computational Engineering, Finance, and Science · Computer Science 2021-10-11 Pál András Papp , Roger Wattenhofer

The network-based study of financial systems has received considerable attention in recent years but has seldom explicitly incorporated the dynamic aspects of such systems. We consider this problem setting from the temporal point of view…

Discrete Mathematics · Computer Science 2024-12-11 Tom Friedetzky , David C. Kutner , George B. Mertzios , Iain A. Stewart , Amitabh Trehan

In the financial system, bailout strategies play a pivotal role in mitigating substantial losses resulting from systemic risk. However, the lack of a closed-form objective function to the optimal bailout problem poses significant challenges…

Risk Management · Quantitative Finance 2025-08-27 Shuhua Xiao , Jiali Ma , Li Xia , Shushang Zhu

A new procedure is presented for the objective comparison and evaluation of default definitions. This allows the lender to find a default threshold at which the financial loss of a loan portfolio is minimised, in accordance with Basel II.…

Risk Management · Quantitative Finance 2021-03-01 Arno Botha , Conrad Beyers , Pieter de Villiers

We study the problem of designing dynamic intervention policies for minimizing networked defaults in financial networks. Formally, we consider a dynamic version of the celebrated Eisenberg-Noe model of financial network liabilities and use…

Social and Information Networks · Computer Science 2023-02-08 Marios Papachristou , Siddhartha Banerjee , Jon Kleinberg

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

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 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

In the context of containment of default contagion in financial networks, we here study a regulator that allocates pre-shock capital or liquidity buffers across banks connected by interbank liabilities and common external asset exposures.…

Computational Engineering, Finance, and Science · Computer Science 2026-03-31 Giuseppe C. Calafiore

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

Networked-guarantee loans may cause the systemic risk related concern of the government and banks in China. The prediction of default of enterprise loans is a typical extremely imbalanced prediction problem, and the networked-guarantee make…

Computational Engineering, Finance, and Science · Computer Science 2020-06-09 Dawei Cheng , Zhibin Niu , Yi Tu , Liqing Zhang

The DebtRank algorithm has been increasingly investigated as a method to estimate the impact of shocks in financial networks, as it overcomes the limitations of the traditional default-cascade approaches. Here we formulate a dynamical…

Risk Management · Quantitative Finance 2018-11-21 Marco Bardoscia , Stefano Battiston , Fabio Caccioli , Guido Caldarelli

We consider the problem faced by a central bank which bails out distressed financial institutions that pose systemic risk to the banking sector. In a structural default model with mutual obligations, the central agent seeks to inject a…

Optimization and Control · Mathematics 2022-10-20 Christa Cuchiero , Christoph Reisinger , Stefan Rigger

A theoretical method is empirically illustrated in finding the best time to forsake a loan such that the overall credit loss is minimised. This is predicated by forecasting the future cash flows of a loan portfolio up to the contractual…

Risk Management · Quantitative Finance 2022-03-25 Arno Botha , Conrad Beyers , Pieter de Villiers
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