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This work proposes an augmented variant of DebtRank with uncertainty intervals as a method to investigate and assess systemic risk in financial networks, in a context of incomplete data. The algorithm is tested against a default contagion…

Risk Management · Quantitative Finance 2014-12-05 Stefano Gurciullo

We study contingent claims in a discrete-time market model where trading costs are given by convex functions and portfolios are constrained by convex sets. In addition to classical frictionless markets and markets with transaction costs or…

Pricing of Securities · Quantitative Finance 2008-12-10 Teemu Pennanen

We consider a dynamical model of distress propagation on complex networks, which we apply to the study of financial contagion in networks of banks connected to each other by direct exposures. The model that we consider is an extension of…

Risk Management · Quantitative Finance 2016-10-05 Marco Bardoscia , Fabio Caccioli , Juan Ignacio Perotti , Gianna Vivaldo , Guido Caldarelli

Bank's asset fire sales and recourse to central bank credit are modelled with continuous asset liquidity, allowing to derive the liability structure of a bank. Both asset sales liquidity and the central bank collateral framework are modeled…

General Economics · Economics 2020-10-22 Ulrich Bindseil , Edoardo Lanari

We consider a discrete-time model of a financial market where a risky asset is bought and sold with transactions having a transient price impact. It is shown that the corresponding utility maximization problem admits a solution. We manage…

Portfolio Management · Quantitative Finance 2025-11-18 Lóránt Nagy , Miklós Rásonyi

Motivated by empirical observations on the interplay of trends and reversion, a lattice gas model of financial markets is presented. The shares of an asset are modeled by gas molecules that are distributed across a hidden social network of…

Statistical Finance · Quantitative Finance 2022-03-02 Christof Schmidhuber

In this paper we study the evolution of asset price bubbles driven by contagion effects spreading among investors via a random matching mechanism in a discrete-time version of the liquidity based model of [25]. To this scope, we extend the…

Mathematical Finance · Quantitative Finance 2022-11-03 Francesca Biagini , Andrea Mazzon , Thilo Meyer-Brandis , Katharina Oberpriller

We consider a large random network, in which the performance of a node depends upon that of its neighbours and some external random influence factors. This results in random vector valued fixed-point (FP) equations in large dimensional…

Probability · Mathematics 2022-12-14 Indrajit Saha , Veeraruna Kavitha

We present a simple continuous-time model of clearing in financial networks. Financial firms are represented as "tanks" filled with fluid (money), flowing in and out. Once "pipes" connecting "tanks" are open, the system reaches the clearing…

General Economics · Economics 2020-07-31 Isaac M. Sonin , Konstantin Sonin

Network theory proved recently to be useful in the quantification of many properties of financial systems. The analysis of the structure of investment portfolios is a major application since their eventual correlation and overlap impact the…

Statistical Finance · Quantitative Finance 2018-01-09 Danilo Delpini , Stefano Battiston , Guido Caldarelli , Massimo Riccaboni

This work explores the characteristics of financial contagion in networks whose links distributions approaches a power law, using a model that defines banks balance sheets from information of network connectivity. By varying the parameters…

General Finance · Quantitative Finance 2014-10-10 Vanessa Hoffmann de Quadros , Juan Carlos González-Avella , José Roberto Iglesias

We contribute to the understanding of how systemic risk arises in a network of credit-interlinked agents. Motivated by empirical studies we formulate a network model which, despite its simplicity, depicts the nature of interbank markets…

Risk Management · Quantitative Finance 2014-06-26 Oliver Kley , Claudia Klüppelberg , Lukas Reichel

This paper develops a dynamic equilibrium model of the insurance market that jointly characterizes insurers' underwriting, investment, recapitalization, and dividend policies under model uncertainty and financial frictions. Competitive…

Risk Management · Quantitative Finance 2026-03-20 Bingzheng Chen , Jan Dhaene , Chun Liu , Shunzhi Pang

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

This paper studies existence and uniqueness of equilibrium prices in a model of the banking sector in which banks trade contingent convertible bonds with stock price triggers among each other. This type of financial product was proposed as…

General Economics · Economics 2020-11-13 Anne G. Balter , Nikolaus Schweizer , Juan C. Vera

This paper investigates whether a financial system can be made more stable if financial institutions share risk by exchanging contingent convertible (CoCo) debt obligations. The question is framed in a financial network model of debt and…

Risk Management · Quantitative Finance 2022-10-27 Zachary Feinstein , T. R. Hurd

Modern financial networks exhibit a high degree of interconnectedness and determining the causes of instability and contagion in financial networks is necessary to inform policy and avoid future financial collapse. In the American Economic…

Computational Finance · Quantitative Finance 2016-10-26 Brett Hemenway , Sanjeev Khanna

We propose a statistical model for weighted temporal networks capable of measuring the level of heterogeneity in a financial system. Our model focuses on the level of diversification of financial institutions; that is, whether they are more…

Applications · Statistics 2018-08-15 Juraj Hledik , Riccardo Rastelli

We develop a game-theoretic framework for the study of competition between firms who have budgets to "seed" the initial adoption of their products by consumers located in a social network. The payoffs to the firms are the eventual number of…

Computer Science and Game Theory · Computer Science 2012-04-24 Sanjeev Goyal , Michael Kearns

We consider a network of banks that optimally choose a strategy of asset liquidations and borrowing in order to cover short term obligations. The borrowing is done in the form of collateralized repurchase agreements, the haircut level of…

Risk Management · Quantitative Finance 2021-03-11 Maxim Bichuch , Zachary Feinstein
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