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This paper develops a dynamic monetary model to study the (in)stability of the fractional reserve banking system. The model shows that the fractional reserve banking system can endanger stability in that equilibrium is more prone to exhibit…

Theoretical Economics · Economics 2024-04-18 Heon Lee

This study investigates the functioning of modern payment systems through the lens of banks' maturity mismatch practices, and it examines the effects of banks' refusal to roll over short-term interbank liabilities on financial stability.…

General Economics · Economics 2023-06-12 Jessica Reale

We propose a simple model of the banking system incorporating a game feature where the evolution of monetary reserve is modeled as a system of coupled Feller diffusions. The Markov Nash equilibrium generated through minimizing the linear…

Mathematical Finance · Quantitative Finance 2026-05-22 Li-Hsien Sun

We consider a dynamic model of interconnected banks. New banks can emerge, and existing banks can default, creating a birth-and-death setup. Microscopically, banks evolve as independent geometric Brownian motions. Systemic effects are…

Probability · Mathematics 2019-05-28 Tomoyuki Ichiba , Michael Ludkovski , Andrey Sarantsev

We report on results concerning a partially aggregated Stock Flow Consistent (SFC) macroeconomic model in the stationary state where the sectors of banks and firms are aggregated, the sector of households is dis-aggregated, and the…

General Finance · Quantitative Finance 2017-08-03 Aurélien Hazan

Vessels navigating in confined waters are subject to banking effects, which are hydrodynamic forces and moments arising from pressure differentials between the vessel sides, significantly affecting manoeuvrability and safety. Existing…

Systems and Control · Electrical Eng. & Systems 2025-11-14 Jeppe H. Mikkelsen , Thomas T. Enevoldsen , Bugge T. Jensen , Michael Jeppesen , Roberto Galeazzi , Dimitrios Papageorgiou

We study the causes and consequences of bank runs using a novel dataset of bank runs in the United States from 1863 to 1934. Applying large language models to historical newspapers, we identify 3,421 runs on individual banks. The resulting…

General Economics · Economics 2026-03-24 Sergio Correia , Stephan Luck , Emil Verner

In our model, private actors with interbank cash flows similar to, but nore general than (Carmona, Fouque, Sun, 2013) borrow from the outside economy at a certain interest rate, controlled by the central bank, and invest in risky assets.…

Risk Management · Quantitative Finance 2018-10-09 Aditya Maheshwari , Andrey Sarantsev

We propose a continuous-time stock-flow consistent model for inventory dynamics in an economy with firms, banks, and households. On the supply side, firms decide on production based on adaptive expectations for sales demand and a desired…

General Finance · Quantitative Finance 2016-10-05 Matheus Grasselli , Adrien Nguyen-Huu

This paper examines deposits of individuals ("retail") and large companies ("wholesale") in the U.S. banking industry, and how these deposit types are impacted by macroeconomic factors, such as quantitative easing (QE). Actual data for…

Machine Learning · Computer Science 2021-01-25 Ni Zhan

In this paper, we investigate a financial market model consisting of a risky asset, modeled as a general diffusion parameterized by a scale function and a speed measure, and a bank account process with a constant interest rate. This…

Mathematical Finance · Quantitative Finance 2025-12-09 Alexis Anagnostakis , David Criens , Mikhail Urusov

We consider a banking network represented by a system of stochastic differential equations coupled by their drift. We assume a core-periphery structure, and that the banks in the core hold a bubbly asset. The banks in the periphery have not…

Mathematical Finance · Quantitative Finance 2018-06-06 Francesca Biagini , Andrea Mazzon , Thilo Meyer-Brandis

The scope of financial systemic risk research encompasses a wide range of interbank channels and effects, including asset correlation shocks, default contagion, illiquidity contagion, and asset fire sales. This paper introduces a financial…

General Finance · Quantitative Finance 2016-09-23 Thomas R. Hurd , Davide Cellai , Sergey Melnik , Quentin Shao

We explore the nonlinear dynamics of a macroeconomic model with resource constraints. The dynamics is derived from a production function that considers capital and a generalized form of energy as inputs. Energy, the new variable, is…

Theoretical Economics · Economics 2024-08-30 Frank Schweitzer , Giona Casiraghi

Financial markets are prominent examples for highly non-stationary systems. Sample averaged observables such as variances and correlation coefficients strongly depend on the time window in which they are evaluated. This implies severe…

Statistical Finance · Quantitative Finance 2015-06-15 Thilo A. Schmitt , Desislava Chetalova , Rudi Schäfer , Thomas Guhr

We report a study of a stylized banking cascade model investigating systemic risk caused by counter party failure using liabilities and assets to define banks' balance sheet. In our stylized system, banks can be in two states: normally…

General Finance · Quantitative Finance 2015-06-18 Annika Birch , Tomaso Aste

In a previous paper, we applied a field formalism to analyze capital allocation and accumulation within a microeconomic framework of investors and firms. The financial connections were modeled by a field of stakes, representing the links…

Other Condensed Matter · Physics 2025-11-14 Pierre Gosselin , Aïleen Lotz

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

In the General Theory, Keynes remarked that the economy's state depends on expectations, and that these expectations can be subject to sudden swings. In this work, we develop a multiple equilibria behavioural business cycle model that can…

We propose a new model of the liquidity driven banking system focusing on overnight interbank loans. This significant branch of the interbank market is commonly neglected in the banking system modeling and systemic risk analysis. We…

Economics · Quantitative Finance 2016-03-17 Paweł Smaga , Mateusz Wiliński , Piotr Ochnicki , Piotr Arendarski , Tomasz Gubiec
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