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A leveraged exchange traded fund (LETF) is an exchange traded fund that uses financial derivatives to amplify the price changes of a basket of goods. In this paper, we consider the robust hedging of European options on a LETF, finding…

证券定价 · 定量金融 2017-02-24 Alexander M. G. Cox , Sam M. Kinsley

Algorithmic trading in modern financial markets is widely acknowledged to exhibit strategic, game-theoretic behaviors whose complexity can be difficult to model. A recent series of papers (Chriss, 2024b,c,a, 2025) has made progress in the…

计算机科学与博弈论 · 计算机科学 2025-06-10 Michael Kearns , Mirah Shi

We investigate the adaptive robust control framework for portfolio optimization and loss-based hedging under drift and volatility uncertainty. Adaptive robust problems offer many advantages but require handling a double optimization problem…

最优化与控制 · 数学 2020-05-06 Tao Chen , Michael Ludkovski

Financial market analysis, especially the prediction of movements of stock prices, is a challenging problem. The nature of financial time-series data, being non-stationary and nonlinear, is the main cause of these challenges. Deep learning…

机器学习 · 计算机科学 2021-07-16 Mostafa Shabani , Alexandros Iosifidis

The design of good heuristics or approximation algorithms for NP-hard combinatorial optimization problems often requires significant specialized knowledge and trial-and-error. Can we automate this challenging, tedious process, and learn the…

机器学习 · 计算机科学 2018-02-23 Hanjun Dai , Elias B. Khalil , Yuyu Zhang , Bistra Dilkina , Le Song

Optimization problems are ubiquitous in our societies and are present in almost every segment of the economy. Most of these optimization problems are NP-hard and computationally demanding, often requiring approximate solutions for…

最优化与控制 · 数学 2021-06-23 James Kotary , Ferdinando Fioretto , Pascal Van Hentenryck

This paper introduced key aspects of applying Machine Learning (ML) models, improved trading strategies, and the Quasi-Reversibility Method (QRM) to optimize stock option forecasting and trading results. It presented the findings of the…

计算金融 · 定量金融 2022-11-30 Zheng Cao , Raymond Guo , Wenyu Du , Jiayi Gao , Kirill V. Golubnichiy

We consider the problem setting of prediction with expert advice with possibly heavy-tailed losses, i.e. the only assumption on the losses is an upper bound on their second moments, denoted by $\theta$. We develop adaptive algorithms that…

机器学习 · 计算机科学 2026-01-09 Antoine Moulin , Emmanuel Esposito , Dirk van der Hoeven

This paper studies the problem of option replication in general stochastic volatility markets with transaction costs, using a new specification for the volatility adjustment in Leland's algorithm \cite{Leland}. We prove several limit…

数理金融 · 定量金融 2015-07-10 Thai Huu Nguyen , Serguei Pergamenshchikov

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…

计算机科学与博弈论 · 计算机科学 2024-05-24 Tommaso Cesari , Roberto Colomboni

The inherent volatility and dynamic fluctuations within the financial stock market underscore the necessity for investors to employ a comprehensive and reliable approach that integrates risk management strategies, market trends, and the…

交易与市场微观结构 · 定量金融 2024-11-13 Alhassan S. Yasin , Prabdeep S. Gill

In this paper, reinforcement learning is applied to the problem of optimizing market making. A multi-agent reinforcement learning framework is used to optimally place limit orders that lead to successful trades. The framework consists of…

交易与市场微观结构 · 定量金融 2018-12-27 Yagna Patel

In recent decades, companies have frequently adopted share repurchase programs to return capital to shareholders or for other strategic purposes, instructing investment banks to rapidly buy back shares on their behalf. When the executing…

证券定价 · 定量金融 2026-01-27 Stefano Corti , Roberto Daluiso , Andrea Pallavicini

This paper builds a core-satellite model of semi-static Kelly betting and log-optimal investment. We study the problem of a saver whose core portfolio consists in unlevered (1x) retirement plans with no access to margin debt. However, the…

计算金融 · 定量金融 2022-10-24 Alex Garivaltis

We provide a natural learning process in which a financial trader without a risk receives a gain in case when Stock Market is inefficient. In this process, the trader rationally choose his gambles using a prediction made by a randomized…

机器学习 · 计算机科学 2011-05-24 Vladimir Trunov , Vladimir V'yugin

We consider an offline learning problem for an agent who first estimates an unknown price impact kernel from a static dataset, and then designs strategies to liquidate a risky asset while creating transient price impact. We propose a novel…

最优化与控制 · 数学 2023-09-07 Eyal Neuman , Wolfgang Stockinger , Yufei Zhang

High-frequency trading is prevalent, where automated decisions must be made quickly to take advantage of price imbalances and patterns in price action that forecast near-future movements. While many algorithms have been explored and tested,…

计算金融 · 定量金融 2023-11-07 Koti S. Jaddu , Paul A. Bilokon

This paper investigates a continuous-time portfolio optimization problem with the following features: (i) a no-short selling constraint; (ii) a leverage constraint, that is, an upper limit for the sum of portfolio weights; and (iii) a…

投资组合管理 · 定量金融 2022-03-08 Masashi Ieda

One notable weakness of current machine learning algorithms is the poor ability of models to solve new problems without forgetting previously acquired knowledge. The Continual Learning paradigm has emerged as a protocol to systematically…

机器学习 · 计算机科学 2022-11-16 Heinke Hihn , Daniel A. Braun

In a fixed time horizon, appropriately executing a large amount of a particular asset -- meaning a considerable portion of the volume traded within this frame -- is challenging. Especially for illiquid or even highly liquid but also highly…

数理金融 · 定量金融 2023-08-15 David Evangelista , Yuri Thamsten
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