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In this work, we apply machine learning techniques to historical stock prices to forecast future prices. To achieve this, we use recursive approaches that are appropriate for handling time series data. In particular, we apply a linear…

Statistical Finance · Quantitative Finance 2022-02-08 Ogulcan E. Orsel , Sasha S. Yamada

We examine how uncertain veracity of external news influences investor beliefs, market prices and corporate disclosures. Despite assuming independence between the news' veracity and the firm's endowment with private information, we find…

Theoretical Economics · Economics 2023-08-21 Jonathan Libgober , Beatrice Michaeli , Elyashiv Wiedman

We first investigate the evolution of opening and closing auctions volumes of US equities along the years. We then report dynamical properties of pre-auction periods: the indicative match price is strongly mean-reverting because the…

Trading and Market Microstructure · Quantitative Finance 2018-10-08 Damien Challet , Nikita Gourianov

We develop an entropic framework to model the dynamics of stocks and European Options. Entropic inference is an inductive inference framework equipped with proper tools to handle situations where incomplete information is available. The…

Pricing of Securities · Quantitative Finance 2019-08-20 Mohammad Abedi , Daniel Bartolomeo

The dynamics of market prices is described as the evolution of opinions in the trading community regarding future market behavior. The price then is a function of the voting process of the market players in favor to raise or reduce the…

Statistical Finance · Quantitative Finance 2015-03-31 Elad Oster , Alexander Feigel

We consider a generic market model with a single stock and with random volatility. We assume that there is a number of tradable options for that stock with different strike prices. The paper states the problem of finding a pricing rule that…

Probability · Mathematics 2008-12-02 Nikolai Dokuchaev

A large number of explicit estimators are proposed in this paper for loss rate estimation in a network of the tree topology. All of the estimators are proved to be unbiased and consistent instead of asymptotic unbiased as that obtained in…

Information Theory · Computer Science 2015-08-06 Weiping Zhu

We design a novel calibration procedure that is designed to handle the specific characteristics of options on cryptocurrency markets, namely large bid-ask spreads and the possibility of missing or incoherent prices in the considered data…

Pricing of Securities · Quantitative Finance 2022-07-08 Mnacho Echenim , Emmanuel Gobet , Anne-Claire Maurice

The aim of this paper is to present a simple stochastic model that accounts for the effects of a long-memory in volatility on option pricing. The starting point is the stochastic Black-Scholes equation involving volatility with long-range…

Other Condensed Matter · Physics 2008-12-02 Sergei Fedotov , Abby Tan

In this paper we study the pricing of exchange options under a dynamic described by stochastic correlation with random jumps. In particular, we consider a Ornstein-Uhlenbeck covariance model with Levy Background Noise Process driven by…

Computational Finance · Quantitative Finance 2017-11-29 Olivares Pablo , Villamor Enrique

Discovering a correlation from one variable to another variable is of fundamental scientific and practical interest. While existing correlation measures are suitable for discovering average correlation, they fail to discover hidden or…

Machine Learning · Statistics 2017-11-22 Hyeji Kim , Weihao Gao , Sreeram Kannan , Sewoong Oh , Pramod Viswanath

An extensive empirical literature documents a generally negative correlation, named the "leverage effect," between asset returns and changes of volatility. It is more challenging to establish such a return-volatility relationship for jumps…

Statistics Theory · Mathematics 2017-12-11 Markus Bibinger , Christopher Neely , Lars Winkelmann

This paper contributes a new machine learning solution for stock movement prediction, which aims to predict whether the price of a stock will be up or down in the near future. The key novelty is that we propose to employ adversarial…

Trading and Market Microstructure · Quantitative Finance 2019-06-04 Fuli Feng , Huimin Chen , Xiangnan He , Ji Ding , Maosong Sun , Tat-Seng Chua

We study the price dynamics of 65 stocks from the Dow Jones Composite Average from 1973 until 2014. We show that it is possible to define a Daily Market Volatility $\sigma(t)$ which is directly observable from data. This quantity is usually…

Statistical Finance · Quantitative Finance 2015-03-30 Filippo Petroni , Maurizio Serva

In previous works Avellaneda et al. pioneered the pricing and hedging of index options - products highly sensitive to implied volatility and correlation assumptions - with large deviations methods, assuming local volatility dynamics for all…

Pricing of Securities · Quantitative Finance 2022-12-16 Peter K. Friz , Thomas Wagenhofer

We present a new simple method of estimating stochastic volatility and its volatility. This method is applicable to both cross-sectional and time-series data. Moreover, this method does not require volatility data series.

General Finance · Quantitative Finance 2012-12-04 Moawia Alghalith

The invariants of an attractor have been the most used resource to characterize a nonlinear dynamics. Their estimation is a challenging endeavor in short-time series and/or in presence of noise. In this article we present two new…

Chaotic Dynamics · Physics 2017-12-13 Juan F. Restrepo , Gastón Schlotthauer

There are several approaches to modeling and forecasting time series as applied to prices of commodities and financial assets. One of the approaches is to model the price as a non-stationary time series process with heteroscedastic…

Statistical Finance · Quantitative Finance 2024-07-01 Andrei Renatovich Batyrov

Forecasting stock returns is a challenging problem due to the highly stochastic nature of the market and the vast array of factors and events that can influence trading volume and prices. Nevertheless it has proven to be an attractive…

Statistical Finance · Quantitative Finance 2021-09-15 Rian Dolphin , Barry Smyth , Yang Xu , Ruihai Dong

Distance correlation is a novel class of multivariate dependence measure, taking positive values between 0 and 1, and applicable to random vectors of arbitrary dimensions, not necessarily equal. It offers several advantages over the…

Computation · Statistics 2024-05-06 Blanca E. Monroy-Castillo , M. A , Jácome , Ricardo Cao
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