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We build the time series of optimal realized portfolio weights from high-frequency data and we suggest a novel Dynamic Conditional Weights (DCW) model for their dynamics. DCW is benchmarked against popular model-based and model-free…

Statistical Finance · Quantitative Finance 2020-04-28 Fabrizio Cipollini , Giampiero M. Gallo , Alessandro Palandri

In spite of the growing consideration for optimal execution in the financial mathematics literature, numerical approximations of optimal trading curves are almost never discussed. In this article, we present a numerical method to…

Trading and Market Microstructure · Quantitative Finance 2014-12-30 Olivier Guéant , Jean-Michel Lasry , Jiang Pu

We introduce a trade strategy representation theorem for performance measurement and portable alpha in high frequency trading, by embedding a robust trading algorithm that describe portfolio manager market timing behavior, in a canonical…

Risk Management · Quantitative Finance 2012-06-21 Godfrey Charles-Cadogan

We provide some theoretical extensions and a calibration protocol for our former dynamic optimal execution model. The Hawkes parameters and the propagator are estimated independently on financial data from stocks of the CAC40.…

Trading and Market Microstructure · Quantitative Finance 2015-06-30 Aurélien Alfonsi , Pierre Blanc

Optimal trading is a recent field of research which was initiated by Almgren, Chriss, Bertsimas and Lo in the late 90's. Its main application is slicing large trading orders, in the interest of minimizing trading costs and potential…

Trading and Market Microstructure · Quantitative Finance 2018-06-05 Charles-Albert Lehalle , Eyal Neuman

In this paper, we generalize the Almgren-Chriss's market impact model to a more realistic and flexible framework and employ it to derive and analyze some aspects of optimal liquidation problem in a security market. We illustrate how a…

Trading and Market Microstructure · Quantitative Finance 2017-08-07 Qing-Qing Yang , Wai-Ki Ching , Jia-Wen Gu , Tak-Kuen Siu

This article is focused on using a new measurement of risk-- Weighted Value at Risk to develop a new method of constructing initiate from the TVAR solving problem, based on MATLAB software, using the historical simulation method (avoiding…

Risk Management · Quantitative Finance 2012-11-27 Tianyu Hao

In this article we study an optimal stopping/optimal control problem which models the decision facing a risk-averse agent over when to sell an asset. The market is incomplete so that the asset exposure cannot be hedged. In addition to the…

Portfolio Management · Quantitative Finance 2008-12-10 Vicky Henderson , David Hobson

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

Trading and Market Microstructure · Quantitative Finance 2014-09-19 Mauricio Junca

Liquidation is the process of selling a large number of shares of one stock sequentially within a given time frame, taking into consideration the costs arising from market impact and a trader's risk aversion. The main challenge in…

Trading and Market Microstructure · Quantitative Finance 2019-06-27 Wenhang Bao , Xiao-yang Liu

We study an optimal execution problem in the presence of market impact where the security price follows a geometric Ornstein-Uhlenbeck process, which implies the mean-reverting property, and show that the optimal strategy is a mixture of…

Trading and Market Microstructure · Quantitative Finance 2014-07-30 Takashi Kato

We compare optimal static and dynamic solutions in trade execution. An optimal trade execution problem is considered where a trader is looking at a short-term price predictive signal while trading. When the trader creates an instantaneous…

Trading and Market Microstructure · Quantitative Finance 2019-07-23 Claudio Bellani , Damiano Brigo , Alex Done , Eyal Neuman

We make several improvements to the mean-variance framework for optimal pre-trade algorithmic execution, by working with volume measures and generic price dynamics. Volume measures are the continuum analogies for discrete volume profiles…

Trading and Market Microstructure · Quantitative Finance 2013-09-27 Jackie Jianhong Shen

Optimal execution in financial markets refers to the process of strategically transacting a large volume of assets over a period to achieve the best possible outcome by balancing the trade-off between market impact costs and timing or…

Machine Learning · Computer Science 2025-06-09 Yang Li , Zhi Chen

We address a dynamic pricing problem for airlines aiming to maximize expected revenue from selling cargo space on a single-leg flight. The cargo shipments' weight and volume are uncertain and their precise values remain unavailable at the…

Optimization and Control · Mathematics 2024-04-09 Chengyu Du , Fang He , Xi Lin

In a market with a rough or Markovian mean-reverting stochastic volatility there is no perfect hedge. Here it is shown how various delta-type hedging strategies perform and can be evaluated in such markets in the case of European options. A…

Pricing of Securities · Quantitative Finance 2020-03-19 Josselin Garnier , Knut Solna

We define the concept of good trade execution and we construct explicit adapted good trade execution strategies in the framework of linear temporary market impact. Good trade execution strategies are dynamic, in the sense that they react to…

Trading and Market Microstructure · Quantitative Finance 2020-07-09 Claudio Bellani , Damiano Brigo

In this paper, we introduce a novel reinforcement learning framework for optimal trade execution in a limit order book. We formulate the trade execution problem as a dynamic allocation task whose objective is the optimal placement of market…

Trading and Market Microstructure · Quantitative Finance 2026-01-28 Patrick Cheridito , Moritz Weiss

This paper studies the optimal VIX futures trading problems under a regime-switching model. We consider the VIX as mean reversion dynamics with dependence on the regime that switches among a finite number of states. For the trading…

Computational Finance · Quantitative Finance 2016-06-15 Jiao Li

A constant weight asset allocation is a popular investment strategy and is optimal under a suitable continuous model. We study the tracking error for the target continuous rebalancing strategy by a feasible discrete-in-time rebalancing…

Mathematical Finance · Quantitative Finance 2023-08-21 Masayuki Ando , Masaaki Fukasawa
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