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Decision-changing imitation is a prevalent phenomenon in financial markets, where investors imitate others' decision-changing rates when making their own investment decisions. In this work, we study the optimal investment problem under the…

Systems and Control · Electrical Eng. & Systems 2024-10-07 Huisheng Wang , H. Vicky Zhao

We model the default contagion process in a large heterogeneous financial network under the interventions of a regulator (a central bank) with only partial information which is a more realistic setting than most current literature. We…

Risk Management · Quantitative Finance 2017-10-06 Yang Xu

This paper introduces a new algorithmic execution model that integrates interbank limit and market orders with internal liquidity generated through market making. Based on the Cartea et al.\cite{cartea2015algorithmic} framework, we…

Trading and Market Microstructure · Quantitative Finance 2025-05-16 Yusuke Morimoto

We consider the relationship between economic activity and intervention, including monetary and fiscal policy, using a universal dynamic framework. Central bank policies are designed for growth without excess inflation. However,…

Physics and Society · Physics 2018-01-01 Yaneer Bar-Yam , Jean Langlois-Meurinne , Mari Kawakatsu , Rodolfo Garcia

We achieve two primary goals in this work. First, we propose a flexible algorithm that can simulate various scenarios of state/government intervention. Secondly, we analyze the scenario exhibiting the critical behavior of the market of…

Physics and Society · Physics 2021-06-30 Michal Chorowski , Ryszard Kutner

We consider a central bank strategy for maintaining a two-sided currency target zone, in which an exchange rate of two currencies is forced to stay between two thresholds. To keep the exchange rate from breaking the prescribed barriers, the…

Trading and Market Microstructure · Quantitative Finance 2020-08-04 Eyal Neuman , Alexander Schied , Chengguo Weng , Xiaole Xue

We study the problem of the optimal execution of a large trade in the presence of nonlinear transient impact. We propose an approach based on homotopy analysis, whereby a well behaved initial strategy is continuously deformed to lower the…

Trading and Market Microstructure · Quantitative Finance 2014-12-17 Gianbiagio Curato , Jim Gatheral , Fabrizio Lillo

A first attempt at obtaining market--directional information from a non--stationary solution of the dynamic equation "future price tends to the value that maximizes the number of shares traded per unit time" [1] is presented. We demonstrate…

Trading and Market Microstructure · Quantitative Finance 2019-03-29 Vladislav Gennadievich Malyshkin

We provide easily verifiable conditions for the well-posedness of the optimal investment problem for a behavioral investor in an incomplete discrete-time multiperiod financial market model, for the first time in the literature. Under two…

Portfolio Management · Quantitative Finance 2012-10-03 Laurence Carassus , Miklos Rasonyi

We study optimal liquidation in the presence of linear temporary and transient price impact along with taking into account a general price predicting finite-variation signal. We formulate this problem as minimization of a cost-risk…

Trading and Market Microstructure · Quantitative Finance 2022-01-17 Eyal Neuman , Moritz Voß

Environments with fixed adjustment costs such as transaction costs or \lq menu costs\rq$ $ are widespread within economic systems. The presence of fixed minimal adjustment costs produces adjustment stickiness so that agents must choose a…

Optimization and Control · Mathematics 2019-10-09 David Mguni

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 the optimal execution of market and limit orders with permanent and temporary price impacts as well as uncertainty in the filling of limit orders. Our continuous-time model incorporates a trade speed limiter and a trader director…

Mathematical Finance · Quantitative Finance 2017-04-13 Brian Bulthuis , Julio Concha , Tim Leung , Brian Ward

We consider an optimal control problem for a system governed by a Volterra integral equation with impulsive terms. The impulses act on both the state and the control; the control consists of switchings at discrete times. The cost functional…

Optimization and Control · Mathematics 2007-05-23 S. A. Belbas , W. H. Schmidt

We prove the existence of an equilibrium in a model with transaction costs and price impact where two agents are incentivized to trade towards a target. The two types of frictions -- price impact and transaction costs -- lead the agents to…

Mathematical Finance · Quantitative Finance 2020-02-20 Eunjung Noh , Kim Weston

I characterize optimal government policy in a sticky-price economy with different types of consumers and endogenous financial constraints in the banking and entrepreneurial sectors. The competitive equilibrium allocation is constrained…

General Economics · Economics 2025-01-29 Aliaksandr Zaretski

Most of the existing literature on optimal trade execution in limit order book models assumes that resilience is positive. But negative resilience also has a natural interpretation, as it models self-exciting behaviour of the price impact,…

Trading and Market Microstructure · Quantitative Finance 2022-07-25 Julia Ackermann , Thomas Kruse , Mikhail Urusov

We study a generic model for self-referential behaviour in financial markets, where agents attempt to use some (possibly fictitious) causal correlations between a certain quantitative information and the price itself. This correlation is…

Condensed Matter · Physics 2007-05-23 Matthieu Wyart , Jean-Philippe Bouchaud

Interference between treated and untreated units is a source of bias in marketplace experiments. In this paper, we specifically consider pricing interventions, in which a platform seeks to adjust base pricing levels at the marketplace level…

Optimization and Control · Mathematics 2025-02-27 Arthur Delarue , Kleanthis Karakolios

In this paper we investigate a new class of growth rate maximization problems based on impulse control strategies such that the average number of trades per time unit does not exceed a fixed level. Moreover, we include proportional…

Portfolio Management · Quantitative Finance 2013-06-10 Sören Christensen , Marc Wittlinger