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In this paper we propose a bivariate generalization of a weighted indexed semi-Markov chains to study the high frequency price dynamics of traded stocks. We assume that financial returns are described by a weighted indexed semi-Markov chain…

Statistical Finance · Quantitative Finance 2013-05-03 Guglielmo D'Amico , Filippo Petroni

A novel algorithm for actively trading stocks is presented. While traditional expert advice and "universal" algorithms (as well as standard technical trading heuristics) attempt to predict winners or trends, our approach relies on…

Artificial Intelligence · Computer Science 2011-07-04 A. Borodin , R. El-Yaniv , V. Gogan

Data mining methods have been widely applied in financial markets, with the purpose of providing suitable tools for prices forecasting and automatic trading. Particularly, learning methods aim to identify patterns in time series and, based…

Machine Learning · Statistics 2013-01-22 Marcelo S. Lauretto , Barbara B. C. Silva , Pablo M. Andrade

The objective of this paper is to introduce the theory of option pricing for markets with informed traders within the framework of dynamic asset pricing theory. We introduce new models for option pricing for informed traders in complete…

Mathematical Finance · Quantitative Finance 2020-08-13 Yuan Hu , Abootaleb Shirvani , Stoyan Stoyanov , Young Shin Kim , Frank J. Fabozzi , Svetlozar T. Rachev

The increasing availability of "big" (large volume) social media data has motivated a great deal of research in applying sentiment analysis to predict the movement of prices within financial markets. Previous work in this field investigates…

Computational Engineering, Finance, and Science · Computer Science 2018-11-08 Ellie Birbeck , Dave Cliff

A master equation approach to the numerical solution of option pricing models is developed. The basic idea of the approach is to consider the Black--Scholes equation as the macroscopic equation of an underlying mesoscopic stochastic option…

Statistical Mechanics · Physics 2009-11-07 Daniel Faller , Francesco Petruccione

Quantum Finance represents the synthesis of the techniques of quantum theory (quantum mechanics and quantum field theory) to theoretical and applied finance. After a brief overview of the connection between these fields, we illustrate some…

Soft Condensed Matter · Physics 2017-08-23 Belal E. Baaquie , Claudio Coriano , Marakani Srikant

This paper is more an essay than a report. There is a gentle introduction to some issues in modeling, followed by the use of steepest descent methods to develop a model as contrasted to using such methods to solve one already in hand, as in…

Dynamical Systems · Mathematics 2015-04-07 Nikolas O. Aksamit , Don H. Tucker , James F. Tucker

Previous studies of the stock price response to individual trades focused on single stocks. We empirically investigate the price response of one stock to the trades of other stocks. How large is the impact of one stock on others and vice…

Statistical Finance · Quantitative Finance 2016-03-17 Shanshan Wang , Rudi Schäfer , Thomas Guhr

This paper is devoted to the price-storage dynamics in natural gas markets. A novel stochastic path-dependent volatility model is introduced with path-dependence in both price volatility and storage increments. Model calibrations are…

Mathematical Finance · Quantitative Finance 2025-07-22 Jinniao Qiu , Antony Ware , Yang Yang

We discuss two numerical methods, based on a path integral approach described in a previous paper (I), for solving the stochastic equations underlying the financial markets: the Monte Carlo approach, and the Green function deterministic…

Statistical Mechanics · Physics 2008-12-10 Marco Rosa-Clot , Stefano Taddei

Investors try to predict returns of financial assets to make successful investment. Many quantitative analysts have used machine learning-based methods to find unknown profitable market rules from large amounts of market data. However,…

Trading and Market Microstructure · Quantitative Finance 2020-12-21 Katsuya Ito , Kentaro Minami , Kentaro Imajo , Kei Nakagawa

The scaling properties of the time series of asset prices and trading volumes of stock markets are analysed. It is shown that similarly to the asset prices, the trading volume data obey multi-scaling length-distribution of low-variability…

Statistical Mechanics · Physics 2008-12-02 Robert Kitt , Jaan Kalda

The variance gamma model is a widely popular model for option pricing in both academia and industry. In this paper, we provide a new perspective for pricing European style options for the variance gamma model by deriving closed-form…

Mathematical Finance · Quantitative Finance 2023-06-21 Yuanda Chen , Zailei Cheng , Haixu Wang

We propose the point process model as the Poissonian-like stochastic sequence with slowly diffusing mean rate and adjust the parameters of the model to the empirical data of trading activity for 26 stocks traded on NYSE. The proposed scaled…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 V. Gontis , B. Kaulakys , J. Ruseckas

The stock market is a crucial component of the financial market, playing a vital role in wealth accumulation for investors, financing costs for listed companies, and the stable development of the national macroeconomy. Significant…

Trading and Market Microstructure · Quantitative Finance 2024-02-28 Jiajian Zheng , Duan Xin , Qishuo Cheng , Miao Tian , Le Yang

Earnings calls are hosted by management of public companies to discuss the company's financial performance with analysts and investors. Information disclosed during an earnings call is an essential source of data for analysts and investors…

Statistical Finance · Quantitative Finance 2020-09-04 Zhiqiang Ma , Grace Bang , Chong Wang , Xiaomo Liu

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

We propose a very efficient method for pricing various types of lookback options under Markov models. We utilize the model-free representations of lookback option prices as integrals of first passage probabilities. We combine efficient…

Computational Finance · Quantitative Finance 2021-12-02 Gongqiu Zhang , Lingfei Li

We present a set of models of the main stylized facts of market price fluctuations. These models comprise dynamical evolution with threshold dynamics and Langevin price equation with multiplicative noise, percolation models to describe the…

Statistical Mechanics · Physics 2008-12-02 D. Sornette , D. Stauffer , H. Takayasu