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Online trading has attracted millions of people around the world. In March 2021, it was reported there were 18 million accounts from just one broker. Historically, manipulation in financial markets is considered to be fraudulently…

Trading and Market Microstructure · Quantitative Finance 2021-07-30 Golnaz Shahtahmassebi , Lascelles Wright

This paper investigates the optimal hedging strategies of an informed broker interacting with multiple traders in a financial market. We develop a theoretical framework in which the broker, possessing exclusive information about the drift…

Trading and Market Microstructure · Quantitative Finance 2025-06-11 Philippe Bergault , Pierre Cardaliaguet , Wenbin Yan

A speculative agent with Prospect Theory preference chooses the optimal time to purchase and then to sell an indivisible risky asset to maximize the expected utility of the round-trip profit net of transaction costs. The optimization…

Mathematical Finance · Quantitative Finance 2022-10-26 Alex S. L. Tse , Harry Zheng

We explore brokerage between traders in an online learning framework. At any round $t$, two traders meet to exchange an asset, provided the exchange is mutually beneficial. The broker proposes a trading price, and each trader tries to sell…

Computer Science and Game Theory · Computer Science 2024-05-24 Tommaso Cesari , Roberto Colomboni

We investigate brokerage between traders from an online learning perspective. At any round $t$, two traders arrive with their private valuations, and the broker proposes a trading price. Unlike other bilateral trade problems already studied…

Machine Learning · Computer Science 2023-10-19 Nataša Bolić , Tommaso Cesari , Roberto Colomboni

We model the trading activity between a broker and her clients (informed and uninformed traders) as an infinite-horizon stochastic control problem. We derive the broker's optimal dealing strategy in closed form and use this to introduce an…

Trading and Market Microstructure · Quantitative Finance 2025-03-25 Álvaro Cartea , Leandro Sánchez-Betancourt

We study strategic interactions in a broker-mediated market in which agents learn and exploit each other's private information. A broker provides liquidity to an informed trader and to noise traders while managing inventory in a lit market.…

Trading and Market Microstructure · Quantitative Finance 2026-01-21 Alif Aqsha , Fayçal Drissi , Leandro Sánchez-Betancourt

Alpha signals for statistical arbitrage strategies are often driven by latent factors. This paper analyses how to optimally trade with latent factors that cause prices to jump and diffuse. Moreover, we account for the effect of the trader's…

Mathematical Finance · Quantitative Finance 2018-06-13 Philippe Casgrain , Sebastian Jaimungal

We consider a two-way trading problem, where investors buy and sell a stock whose price moves within a certain range. Naturally they want to maximize their profit. Investors can perform up to $k$ trades, where each trade must involve the…

Data Structures and Algorithms · Computer Science 2017-06-19 Stanley P. Y. Fung

We study the role of contextual information in the online learning problem of brokerage between traders. In this sequential problem, at each time step, two traders arrive with secret valuations about an asset they wish to trade. The learner…

Computational Finance · Quantitative Finance 2026-02-20 François Bachoc , Tommaso Cesari , Roberto Colomboni

The focus of this paper is on identifying the most effective selling strategy for pairs trading of stocks. In pairs trading, a long position is held in one stock while a short position is held in another. The goal is to determine the…

Mathematical Finance · Quantitative Finance 2023-07-31 Ruyi Liu , Jingzhi Tie , Zhen Wu , Qing Zhang

We consider a trader who aims to liquidate a large position in the presence of an arbitrageur who hopes to profit from the trader's activity. The arbitrageur is uncertain about the trader's position and learns from observed price…

Optimization and Control · Mathematics 2009-03-11 Ciamac C. Moallemi , Beomsoo Park , Benjamin Van Roy

We consider the problem of maximizing portfolio value when an agent has a subjective view on asset value which differs from the traded market price. The agent's trades will have a price impact which affect the price at which the asset is…

Mathematical Finance · Quantitative Finance 2020-10-13 Ryan Donnelly , Matthew Lorig

In the seminal paper on optimal execution of portfolio transactions, Almgren and Chriss (2001) define the optimal trading strategy to liquidate a fixed volume of a single security under price uncertainty. Yet there exist situations, such as…

Trading and Market Microstructure · Quantitative Finance 2022-12-06 Julien Vaes , Raphael Hauser

Financial market forecasting remains a formidable challenge despite the surge in computational capabilities and machine learning advancements. While numerous studies have underscored the precision of computer-generated market predictions,…

Computational Finance · Quantitative Finance 2023-11-16 Reza Yarbakhsh , Mahdieh Soleymani Baghshah , Hamidreza Karimaghaie

Market manipulation is a strategy used by traders to alter the price of financial securities. One type of manipulation is based on the process of buying or selling assets by using several trading strategies, among them spoofing is a popular…

Trading and Market Microstructure · Quantitative Finance 2015-11-04 Enrique Martínez-Miranda , Peter McBurney , Matthew J. Howard

A retailer is purchasing goods in bundles from suppliers and then selling these goods in bundles to customers; her goal is to maximize profit, which is the revenue obtained from selling goods minus the cost of purchasing those goods. In…

Data Structures and Algorithms · Computer Science 2025-08-01 Yossi Azar , Niv Buchbinder , Roie Levin , Or Vardi

We study the problem of optimal trading using general alpha predictors with linear costs and temporary impact. We do this within the framework of stochastic optimization with finite horizon using both limit and market orders. Consistently…

Trading and Market Microstructure · Quantitative Finance 2015-01-19 Filippo Passerini , Samuel E. Vazquez

This paper develops a mathematical framework for building a position in a stock over a fixed period of time while in competition with one or more other traders doing the same thing. We develop a game-theoretic framework that takes place in…

Trading and Market Microstructure · Quantitative Finance 2024-11-08 Neil A. Chriss

We deal with the optimal execution problem when the broker's goal is to reach a performance barrier avoiding a downside barrier. The performance is provided by the wealth accumulated by trading in the market, the shares detained by the…

Mathematical Finance · Quantitative Finance 2026-04-27 Emilio Barucci , Yuheng Lan
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