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Related papers: Taming the Basel Leverage Cycle

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We present a simple agent-based model of a financial system composed of leveraged investors such as banks that invest in stocks and manage their risk using a Value-at-Risk constraint, based on historical observations of asset prices. The…

Economics · Quantitative Finance 2014-08-19 Christoph Aymanns , J. Doyne Farmer

Banks must optimize risky investments, dividend payouts, and capital structure under tight Basel III solvency and liquidity constraints, while costly equity issuance serves as a distress-recovery tool. We formulate this as a stochastic…

Optimization and Control · Mathematics 2026-03-17 Erhan Bayraktar , Etienne Chevalier , Vathana Ly Vath , Yuqiong Wang

We consider a model of a simple financial system consisting of a leveraged investor that invests in a risky asset and manages risk by using Value-at-Risk (VaR). The VaR is estimated by using past data via an adaptive expectation scheme. We…

Mathematical Finance · Quantitative Finance 2021-04-13 Fabrizio Lillo , Giulia Livieri , Stefano Marmi , Anton Solomko , Sandro Vaienti

We use a simple agent based model of value investors in financial markets to test three credit regulation policies. The first is the unregulated case, which only imposes limits on maximum leverage. The second is Basle II and the third is a…

Risk Management · Quantitative Finance 2014-01-06 Sebastian Poledna , Stefan Thurner , J. Doyne Farmer , John Geanakoplos

Systemic financial risk refers to the simultaneous failure or destabilization of multiple financial institutions, often triggered by contagion mechanisms or common exposures to shocks. In this paper, we present a dynamical model of bank…

Dynamical Systems · Mathematics 2026-03-31 Marco Ioffredi , Stefano Marmi , Matteo Tanzi

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

I study the optimal regulation of a financial sector where individual banks face self-enforcing constraints countering their default incentives. The constrained-efficient social planner can improve over the unregulated equilibrium in two…

General Economics · Economics 2025-04-08 Aliaksandr Zaretski

Banking system crises are complex events that in a short span of time can inflict extensive damage to banks themselves and to the external economy. The crisis literature has so far identified a number of distinct effects or channels that…

General Finance · Quantitative Finance 2017-11-16 T. R. Hurd

We consider the problem of governing systemic risk in a banking system model. The banking system model consists in an initial value problem for a system of stochastic differential equations whose dependent variables are the log-monetary…

Risk Management · Quantitative Finance 2018-12-19 Lorella Fatone , Francesca Mariani

In the context of understanding the nature of the risk transformation process of the financial system we propose an iterative risk-trading game between several agents who build their trading strategies based on a general utility setting.…

Condensed Matter · Physics 2009-11-10 Stefan Thurner , Rudolf Hanel , Stefan Pichler

Common asset holdings are widely believed to have been the primary vector of contagion in the recent financial crisis. We develop a network approach to the amplification of financial contagion due to the combination of overlapping…

General Finance · Quantitative Finance 2012-11-06 Fabio Caccioli , Munik Shrestha , Cristopher Moore , J. Doyne Farmer

A macroeconomic model based on the economic variables (i) assets, (ii) leverage (defined as debt over asset) and (iii) trust (defined as the maximum sustainable leverage) is proposed to investigate the role of credit in the dynamics of…

Economics · Quantitative Finance 2016-08-24 Jeroen Rozendaal , Yannick Malevergne , Didier Sornette

We consider the problem of governing systemic risk in an assets-liabilities dynamical model of banking system. In the model considered each bank is represented by its assets and its liabilities.The capital reserves of a bank are the…

Risk Management · Quantitative Finance 2019-05-30 Lorella Fatone , Francesca Mariani

We present a general equilibrium macro-finance model with a positive feedback loop between capital investment and land price. As leverage is relaxed beyond a critical value, through the financial accelerator, a phase transition occurs from…

Theoretical Economics · Economics 2024-02-15 Tomohiro Hirano , Ryo Jinnai , Alexis Akira Toda

Financial institutions are currently required to meet more stringent capital requirements than they were before the recent financial crisis; in particular, the capital requirement for a large bank's trading book under the Basel 2.5 Accord…

Portfolio Management · Quantitative Finance 2013-08-07 Zaiwen Wen , Xianhua Peng , Xin Liu , Xiaoling Sun , Xiaodi Bai

A justification of the Basel liquidity formula for risk capital in the trading book is given under the assumption that market risk-factor changes form a Gaussian white noise process over 10-day time steps and changes to P&L are linear in…

Risk Management · Quantitative Finance 2018-03-22 Janine Balter , Alexander J. McNeil

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

This paper presents a dynamic game framework to analyze the role of large banks in interbank markets. By extending existing models, we incorporate a large bank as a dynamic decision-maker interacting with multiple small banks. Using the…

Mathematical Finance · Quantitative Finance 2025-04-22 Yuanyuan Chang , Dena Firoozi , David Benatia

Management of systemic risk in financial markets is traditionally associated with setting (higher) capital requirements for market participants. There are indications that while equity ratios have been increased massively since the…

Computational Finance · Quantitative Finance 2019-05-16 Christian Diem , Anton Pichler , Stefan Thurner

What is the best macroprudential regulation when households differ in their exposure to profits from the financial sector? To answer the question, I study a real business cycle model with household heterogeneity and market incompleteness.…

General Economics · Economics 2025-09-16 Mikayel Sukiasyan
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