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Consider the problem of a central bank that wants to manage the exchange rate between its domestic currency and a foreign one. The central bank can purchase and sell the foreign currency, and each intervention on the exchange market leads…

Optimization and Control · Mathematics 2017-12-07 Giorgio Ferrari , Tiziano Vargiolu

Dealers in foreign exchange markets provide bid and ask prices to their clients at which they are happy to buy and sell, respectively. To manage risk, dealers can skew their quotes and hedge in the interbank market. Hedging offers certainty…

Trading and Market Microstructure · Quantitative Finance 2026-01-21 Alexander Barzykin

Trading large volumes of a financial asset in order driven markets requires the use of algorithmic execution dividing the volume in many transactions in order to minimize costs due to market impact. A proper design of an optimal execution…

Trading and Market Microstructure · Quantitative Finance 2015-06-05 Enzo Busseti , Fabrizio Lillo

In this paper, we study the optimal investment problem of an insurer whose surplus process follows the diffusion approximation of the classical Cramer-Lundberg model. Investment in the foreign market is allowed, and therefore, the foreign…

Portfolio Management · Quantitative Finance 2020-06-05 Qianqian Zhou , Junyi Guo

Deciding bank interest rates has been a long-standing challenge in finance. It is crucial to ensure that the selected rates balance market share and profitability. However, traditional approaches typically focus on the interest rate changes…

Optimization and Control · Mathematics 2025-01-06 Fan Chen , Nicholas Martin , Po-Yu Chen , Xiaozhen Wang , Zhenjie Ren , Francois Buet-Golfouse

We consider issues of time in automated trading strategies in simulated financial markets containing a single exchange with public limit order book and continuous double auction matching. In particular, we explore two effects: (i) reaction…

Multiagent Systems · Computer Science 2021-03-02 Henry Hanifan , Ben Watson , John Cartlidge , Dave Cliff

This study investigates the prevention of market manipulation using a price-impact model of financial market trading as a linear system. First, I define a trading game between speculators such that they implement a manipulation trading…

Theoretical Economics · Economics 2022-05-04 Yoshihiro Ohashi

In foreign exchange markets monotonic rate changes can be observed in time scale of order of an hour on the days that governmental interventions took place. We estimate the starting time of an intervention using this characteristic behavior…

Data Analysis, Statistics and Probability · Physics 2008-12-02 Takayuki Mizuno , Yukiko Umeno Saito , Tsutomu Watanabe , Hideki Takayasu

We develop a mixed control framework that combines absolutely continuous controls with impulse interventions subject to stochastic execution delays. The model extends current impulse control formulations by allowing (i) the controller to…

Trading and Market Microstructure · Quantitative Finance 2026-02-20 Philippe Bergault , Yadh Hafsi , Leandro Sánchez-Betancourt

The aim of this paper is to explain how parameters adjustments can be integrated in the design or the control of automates of trading. Typically, we are interested by the online estimation of the market impacts generated by robots or single…

Computational Finance · Quantitative Finance 2017-12-06 N Baradel , B Bouchard , Ngoc Minh Dang

We consider a retailer who buys energy in the wholesale market and resells it to final consumers. The retailer has to decide when to intervene to change the price he asks to his customers, in order to maximize his income. We model the…

Optimization and Control · Mathematics 2019-04-02 Matteo Basei

The paper proposes a new stochastic intervention control model conducted in various commodity and stock markets. The essence of the phenomenon of intervention is described in accordance with current economic theory. A review of papers on…

General Finance · Quantitative Finance 2018-11-28 Peter Shnurkov , Daniil Novikov

This paper analyzes and explicitly solves a class of long-term average impulse control problems with a specific mean-field interaction. The underlying process is a general one-dimensional diffusion with appropriate boundary behavior. The…

Optimization and Control · Mathematics 2026-02-04 K. L. Helmes , R. H. Stockbridge , C. Zhu

In this paper, making use of recent statistical physics techniques and models, we address the specific role of randomness in financial markets, both at the micro and the macro level. In particular, we review some recent results obtained…

General Finance · Quantitative Finance 2014-10-31 Alessio Emanuele Biondo , Alessandro Pluchino , Andrea Rapisarda

This paper studies the optimal investment problem with random endowment in an inventory-based price impact model with competitive market makers. Our goal is to analyze how price impact affects optimal policies, as well as both pricing rules…

Mathematical Finance · Quantitative Finance 2018-12-10 Michail Anthropelos , Scott Robertson , Konstantinos Spiliopoulos

We first show that there are in fact triangular arbitrage opportunities in the spot foreign exchange markets, analyzing the time dependence of the yen-dollar rate, the dollar-euro rate and the yen-euro rate. Next, we propose a model of…

Statistical Mechanics · Physics 2009-11-07 Yukihiro Aiba , Naomichi Hatano , Hideki Takayasu , Kouhei Marumo , Tokiko Shimizu

In financial markets, agents often mutually influence each other's investment strategies and adjust their strategies to align with others. However, there is limited quantitative study of agents' investment strategies in such scenarios. In…

Systems and Control · Electrical Eng. & Systems 2025-01-27 Huisheng Wang , H. Vicky Zhao

We study a single risky financial asset model subject to price impact and transaction cost over an finite time horizon. An investor needs to execute a long position in the asset affecting the price of the asset and possibly incurring in…

Trading and Market Microstructure · Quantitative Finance 2015-03-19 Mauricio Junca

Most finance studies are discussed on the basis of several hypotheses, for example, investors rationally optimize their investment strategies. However, the hypotheses themselves are sometimes criticized. Market impacts, where trades of…

Computational Finance · Quantitative Finance 2022-02-03 Takanobu Mizuta , Isao Yagi , Kosei Takashima

We consider an exchange who wishes to set suitable make-take fees to attract liquidity on its platform. Using a principal-agent approach, we are able to describe in quasi-explicit form the optimal contract to propose to a market maker. This…

Trading and Market Microstructure · Quantitative Finance 2019-11-27 Omar El Euch , Thibaut Mastrolia , Mathieu Rosenbaum , Nizar Touzi
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