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We study the frictions in the patterns of trades in the Euro money market. We characterize the structure of lending relations during the period of recent financial turmoil. We use network-topology method on data from overnight transactions…

Trading and Market Microstructure · Quantitative Finance 2012-07-24 Caterina Liberati , Massimiliano Marzo , Paolo Zagaglia , Paola Zappa

I examine global dynamics in a monetary model with overlapping generations of finite-horizon agents and a binding lower bound on nominal interest rates. Debt targeting rules exacerbate the possibility of self-fulfilling liquidity traps, for…

Theoretical Economics · Economics 2021-04-08 Alessandro Piergallini

We consider the problem of optimal consumption from labor income and investment in a general incomplete semimartingale market. The economic agent cannot borrow against future income, so the total wealth is required to be positive at (all or…

Probability · Mathematics 2019-01-29 Oleksii Mostovyi , Mihai Sîrbu

We introduce a general model for the balance-sheet consistent valuation of interbank claims within an interconnected financial system. Our model represents an extension of clearing models of interdependent liabilities to account for the…

Risk Management · Quantitative Finance 2020-06-03 Paolo Barucca , Marco Bardoscia , Fabio Caccioli , Marco D'Errico , Gabriele Visentin , Guido Caldarelli , Stefano Battiston

A model of open economics composed of producers and speculators is investigated by numerical simulations. The capital flows from the environment to the producers and from them to the speculators. The price fluctuations are suppressed by the…

Statistical Mechanics · Physics 2009-10-31 Frantisek Slanina , Yi-Cheng Zhang

Economic models with input-output networks assume that firm or sector (unit) growth is driven by a weighted sum of trade partners' growth and an independently-drawn idiosyncratic shock. I show that the idiosyncratic risk assumption in a…

General Economics · Economics 2022-08-03 Victor Sellemi

We examine whether and how granular, real-time predictive models should be integrated into central banks' macroprudential toolkit. First, we develop a tractable framework that formalizes the tradeoff regulators face when choosing between…

General Economics · Economics 2025-07-28 Christopher Clayton , Antonio Coppola

We introduce a non-zero-sum game between a government and a legislative body to study the optimal level of debt. Each player, with different time preferences, can intervene on the stochastic dynamics of the debt-to-GDP ratio via singular…

Optimization and Control · Mathematics 2024-11-05 Felix Dammann , Neofytos Rodosthenous , Stéphane Villeneuve

We consider an optimal investment-consumption problem for a utility-maximizing investor who has access to assets with different liquidity and whose consumption rate as well as terminal wealth are subject to lower-bound constraints. Assuming…

Mathematical Finance · Quantitative Finance 2025-05-21 Yevhen Havrylenko

The interconnectedness of financial institutions affects instability and credit crises. To quantify systemic risk we introduce here the PD model, a dynamic model that combines credit risk techniques with a contagion mechanism on the network…

Computational Finance · Quantitative Finance 2018-04-10 Daniele Petrone , Vito Latora

We consider a model of debt management, where a sovereign state trade some bonds to service the debt with a pool of risk-neutral competitive foreign investors. At each time, the government decides which fraction of the gross domestic…

Optimization and Control · Mathematics 2019-09-30 Antonio Marigonda , Khai T. Nguyen

The increasingly complex economic and financial environment in which we live makes the management of liquidity in payment systems and the economy in general a persistent challenge. New technologies are making it possible to address this…

General Finance · Quantitative Finance 2020-11-09 Tomaž Fleischman , Paolo Dini

We introduce a prototype agent-based model of the macroeconomy, with budgetary constraints at its core. The model is related to a class of constraint satisfaction problems (CSPs), which has been thoroughly investigated in computer science.…

General Economics · Economics 2021-06-18 Dhruv Sharma , Jean-Philippe Bouchaud , Marco Tarzia , Francesco Zamponi

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 theoretical model of systemic-risk propagation of financial market is analyzed for stability. The state equation is an unsteady diffusion equation with a nonlinear logistic growth term, where the diffusion process captures the spread of…

Mathematical Finance · Quantitative Finance 2025-11-18 Jiacheng Wu

We study the problem of maximising terminal utility for an agent facing model uncertainty, in a frictionless discrete-time market with one safe asset and finitely many risky assets. We show that an optimal investment strategy exists if the…

Mathematical Finance · Quantitative Finance 2020-07-10 Miklós Rásonyi , Andrea Meireles-Rodrigues

We consider a diffusion approximation to an insurance risk model where an external driver models a stochastic environment. The insurer can buy reinsurance. Moreover, investment in a financial market is possible. The financial market is also…

Mathematical Finance · Quantitative Finance 2019-04-01 Matteo Brachetta , Hanspeter Schmidli

This paper studies a life-time consumption-investment problem under the Black-Scholes framework, where the consumption rate is subject to a lower bound constraint that linearly depends on her wealth. It is a stochastic control problem with…

Portfolio Management · Quantitative Finance 2021-12-28 Chonghu Guan , Zuo Quan Xu , Fahuai Yi

We propose a mean field control game model for the intra-and-inter-bank borrowing and lending problem. This framework allows to study the competitive game arising between groups of collaborative banks. The solution is provided in terms of…

Optimization and Control · Mathematics 2022-07-08 Andrea Angiuli , Nils Detering , Jean-Pierre Fouque , Mathieu Laurière , Jimin Lin

We characterize optimal monetary policy when policy endogenously moves risk premia through redistribution across agents who differ in their willingness to bear risk. The analytical core is Marginal Risk Capacity, the covariance of monetary…

Theoretical Economics · Economics 2026-03-24 Rui Sun