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A simple quantum model explains the Levy-unstable distributions for individual stock returns observed by ref.[1]. The probability density function of the returns is written as the squared modulus of an amplitude. For short time intervals…

Physics and Society · Physics 2008-12-02 Martin Schaden

Stock return forecasting is of utmost importance in the business world. This has been the favourite topic of research for many academicians since decades. Recently, regularization techniques have reported to tremendously increase the…

General Finance · Quantitative Finance 2019-08-13 Kartikay Gupta , Niladri Chatterjee

This paper proposes a Deep Reinforcement Learning algorithm for financial portfolio trading based on Deep Q-learning. The algorithm is capable of trading high-dimensional portfolios from cross-sectional datasets of any size which may…

Portfolio Management · Quantitative Finance 2021-12-10 Uta Pigorsch , Sebastian Schäfer

Pair trading is one of the most discussed topics among financial researches. Despite a growing base of work, portfolio management for multivariate time series is rarely discussed. On the other hand, most researches focus on refining…

Portfolio Management · Quantitative Finance 2021-06-18 Chenyanzi Yu , Tianyang Xie

We derive a closed-form expression capturing the degree of Relative Risk Aversion (RRA) of investors for non-"fair" lotteries. We argue that our formula is superior to earlier methods that have been proposed, as it is a function of only…

General Economics · Economics 2022-11-10 George Samartzis , Nikitas Pittis

The scaling properties of the roughness of surfaces grown by two different processes randomly alternating in time, are addressed. The duration of each application of the two primary processes is assumed to be independently drawn from given…

Statistical Mechanics · Physics 2009-11-07 Subhadip Raychaudhuri , Yonathan Shapir

In this article we analyse linear correlation and non-linear dependence of traded volume, $v$, of the 30 constituents of Dow Jones Industrial Average at different value scales. Specifically, we have raised $v$ to some real value $\alpha $…

Data Analysis, Statistics and Probability · Physics 2008-12-02 Silvio M. Duarte Queiros , Luis G. Moyano

An artificial stock market is established based on multi-agent . Each agent has a limit memory of the history of stock price, and will choose an action according to his memory and trading strategy. The trading strategy of each agent evolves…

Other Condensed Matter · Physics 2009-11-10 Chun-Xia Yang , Tao Zhou , Pei-Ling Zhou , Jun Liu , Zi-Nan Tang

The statistical properties of the multipliers of the absolute returns are investigated using one-minute high-frequency data of financial time series. The multiplier distribution is found to be independent of the box size $s$ when $s$ is…

Physics and Society · Physics 2008-12-02 Zhi-Qiang Jiang , Wei-Xing Zhou

The composition of natural liquidity has been changing over time. An analysis of intraday volumes for the S&P500 constituent stocks illustrates that (i) volume surprises, i.e., deviations from their respective forecasts, are correlated…

Trading and Market Microstructure · Quantitative Finance 2018-11-15 Seungki Min , Costis Maglaras , Ciamac C. Moallemi

There are inefficiencies in financial markets, with unexploited patterns in price, volume, and cross-sectional relationships. While many approaches use large-scale transformers, we take a domain-focused path: feed-forward and recurrent…

Portfolio Management · Quantitative Finance 2025-10-15 Sid Ghatak , Arman Khaledian , Navid Parvini , Nariman Khaledian

We investigate the performance of dynamic portfolios constructed using more than 21,000 technical trading rules on 12 categorical and country-specific markets over the 2004-2015 study period, on rolling forward structures of different…

Statistical Finance · Quantitative Finance 2019-06-14 Georgios Sermpinis , Arman Hassanniakalager , Charalampos Stasinakis , Ioannis Psaradellis

Using high frequency data, we have studied empirically the change of volatility, also called volatility derivative, for various time horizons. In particular, the correlation between the volatility derivative and the volatility realized in…

Statistical Mechanics · Physics 2009-11-07 Gilles Zumbach , Paul Lynch

For a covariance matrix coming from a factor model of returns, we investigate the relationship between the long-only global minimum variance portfolio and the asset exposures to the factors. In the case of a 1-factor model, we provide a…

Mathematical Finance · Quantitative Finance 2026-03-10 Nick L. Gunther , Alec N. Kercheval , Ololade Sowunmi

We use a replica approach to deal with portfolio optimization problems. A given risk measure is minimized using empirical estimates of asset values correlations. We study the phase transition which happens when the time series is too short…

Physics and Society · Physics 2009-11-13 Stefano Ciliberti , Marc Mezard

Mid-cap companies, generally valued between \$2 billion and \$10 billion, provide investors with a well-rounded opportunity between the fluctuation of small-cap stocks and the stability of large-cap stocks. This research builds upon the…

Portfolio Management · Quantitative Finance 2024-12-18 Saumya Kothari , Harsh Shah , Utkarsh Prajapati , Shrinjay Kaushik

Using an artificial neural network (ANN), a fixed universe of approximately 1500 equities from the Value Line index are rank-ordered by their predicted price changes over the next quarter. Inputs to the network consist only of the ten prior…

General Finance · Quantitative Finance 2008-12-02 J. B. Satinover , D. Sornette

This paper considers the finite horizon portfolio rebalancing problem in terms of mean-variance optimization, where decisions are made based on current information on asset returns and transaction costs. The study's novelty is that the…

Methodology · Statistics 2025-08-21 Qingliang Fan , Marcelo C. Medeiros , Hanming Yang , Songshan Yang

We theoretically and empirically study portfolio optimization under transaction costs and establish a link between turnover penalization and covariance shrinkage with the penalization governed by transaction costs. We show how the ex ante…

Portfolio Management · Quantitative Finance 2020-03-26 Nikolaus Hautsch , Stefan Voigt

We investigate the recently introduced variety of a set of stock returns traded in a financial market. This investigation is done by considering daily and intraday time horizons in a 15-day time period centered at the August 31st, 1998…

Statistical Mechanics · Physics 2008-12-02 Fabrizio Lillo , Giovanni Bonanno , Rosario N. Mantegna