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Financial derivative pricing is a significant challenge in finance, involving the valuation of instruments like options based on underlying assets. While some cases have simple solutions, many require complex classical computational methods…

Computational Finance · Quantitative Finance 2025-05-15 Robert Scriba , Yuying Li , Jingbo B Wang

A new approach to the understanding of the complex behavior of financial markets index using tools from thermodynamics and statistical physics is developed. Physical complexity, a magnitude rooted in the Kolmogorov-Chaitin theory is applied…

Statistical Mechanics · Physics 2009-10-31 Ricardo Mansilla

Modeling the behavior of stock price data has always been one of the challengeous applications of Artificial Intelligence (AI) and Machine Learning (ML) due to its high complexity and dependence on various conditions. Recent studies show…

Applications · Statistics 2025-01-14 Xinyuan Song

The development of reinforced learning methods has extended application to many areas including algorithmic trading. In this paper trading on the stock exchange is interpreted into a game with a Markov property consisting of states,…

Trading and Market Microstructure · Quantitative Finance 2020-02-28 Evgeny Ponomarev , Ivan Oseledets , Andrzej Cichocki

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

We extend variational quantum optimization algorithms for Quadratic Unconstrained Binary Optimization problems to the class of Mixed Binary Optimization problems. This allows us to combine binary decision variables with continuous decision…

Quantum Physics · Physics 2021-09-13 Lee Braine , Daniel J. Egger , Jennifer Glick , Stefan Woerner

A solution to a portfolio optimization problem is always conditioned by constraints on the initial capital and the price of the available market assets. If a risk neutral measure is known, then the price of each asset is the discounted…

Optimization and Control · Mathematics 2025-07-10 Argimiro Arratia , Henryk Gzyl

We investigate the impact of order flow imbalance (OFI) on price movements in equity markets in a multi-asset setting. First, we propose a systematic approach for combining OFIs at the top levels of the limit order book into an integrated…

Trading and Market Microstructure · Quantitative Finance 2023-06-16 Rama Cont , Mihai Cucuringu , Chao Zhang

Recent developments in financial time series focus on modeling volatility across multiple assets or indices in a multivariate framework, accounting for potential interactions such as spillover effects. Furthermore, the increasing…

Applications · Statistics 2026-01-26 Edoardo Otranto , Luca Scaffidi Domianello

We investigate the portfolio execution problem under a framework in which volatility and liquidity are both uncertain. In our model, we assume that a multidimensional Markovian stochastic factor drives both of them. Moreover, we model…

Mathematical Finance · Quantitative Finance 2023-08-08 Max O. Souza , Yuri Thamsten

This paper introduces a novel methodology for index return forecasting, blending highly correlated stock prices, advanced deep learning techniques, and intricate factor integration. Departing from conventional cap-weighted approaches, our…

General Finance · Quantitative Finance 2024-05-06 Tian Tian , Ricky Cooper , Jiahao Deng , Qingquan Zhang

A novel framework for solving the optimal execution and placement problems using reinforcement learning (RL) with imitation was proposed. The RL agents trained from the proposed framework consistently outperformed the industry benchmark…

Machine Learning · Computer Science 2022-06-23 Jin Fang , Jiacheng Weng , Yi Xiang , Xinwen Zhang

Financial contagion has been widely recognized as a fundamental risk to the financial system. Particularly potent is price-mediated contagion, wherein forced liquidations by firms depress asset prices and propagate financial stress,…

Computational Finance · Quantitative Finance 2023-10-06 Zhiyu Cao , Zihan Chen , Prerna Mishra , Hamed Amini , Zachary Feinstein

This paper concerns the numerical solution of a fully nonlinear parabolic double obstacle problem arising from a finite portfolio selection with proportional transaction costs. We consider the optimal allocation of wealth among multiple…

Portfolio Management · Quantitative Finance 2017-11-06 Arash Fahim , Wan-Yu Tsai

In this research, we have empirically investigated the key drivers affecting liquidity in equity markets. We illustrated how theoretical models, such as Kyle's model, of agents' interplay in the financial markets, are aligned with the…

Computational Finance · Quantitative Finance 2020-04-28 Anastasia Bugaenko

Algorithmic trading refers to executing buy and sell orders for specific assets based on automatically identified trading opportunities. Strategies based on reinforcement learning (RL) have demonstrated remarkable capabilities in addressing…

Trading and Market Microstructure · Quantitative Finance 2024-07-03 Xi Cheng , Jinghao Zhang , Yunan Zeng , Wenfang Xue

In this paper, we consider a financial market with assets exposed to some risks inducing jumps in the asset prices, and which can still be traded after default times. We use a default-intensity modeling approach, and address in this…

Portfolio Management · Quantitative Finance 2015-10-21 Thomas Lim , Marie-Claire Quenez

We study an optimal execution strategy for purchasing a large block of shares over a fixed time horizon. The execution problem is subject to a general price impact that gradually dissipates due to market resilience. We allow for general…

Mathematical Finance · Quantitative Finance 2026-04-14 Etienne Chevalier , Yadh Hafsi , Vathana Ly Vath , Sergio Pulido

This work focuses on the indifference pricing of American call option underlying a non-traded stock, which may be partially hedgeable by another traded stock. Under the exponential forward measure, the indifference price is formulated as a…

Pricing of Securities · Quantitative Finance 2012-01-04 Xiaoshan Chen , Qingshuo Song , Fahuai Yi , George Yin

With the recent rise of Machine Learning as a candidate to partially replace classic Financial Mathematics methodologies, we investigate the performances of both in solving the problem of dynamic portfolio optimization in continuous-time,…

Portfolio Management · Quantitative Finance 2019-10-29 Babak Mahdavi-Damghani , Konul Mustafayeva , Stephen Roberts , Cristin Buescu
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