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Grasping the historical volatility of stock market indices and accurately estimating are two of the major focuses of those involved in the financial securities industry and derivative instruments pricing. This paper presents the results of…

Mathematical Finance · Quantitative Finance 2022-05-04 Claudiu Vinte , Marcel Ausloos , Titus Felix Furtuna

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

We investigate entropy as a financial risk measure. Entropy explains the equity premium of securities and portfolios in a simpler way and, at the same time, with higher explanatory power than the beta parameter of the capital asset pricing…

Pricing of Securities · Quantitative Finance 2015-01-07 Mihaly Ormos , David Zibriczky

To take into account the temporal dimension of uncertainty in stock markets, this paper introduces a cross-sectional estimation of stock market volatility based on the intrinsic entropy model. The proposed cross-sectional intrinsic entropy…

Statistical Finance · Quantitative Finance 2022-05-03 Claudiu Vinte , Marcel Ausloos

We discuss the role of information entropy on the behaviour of random processes, and how this might take effect in the dynamics of financial market prices. We then go on to show how the Open Quantum Systems approach can be used as a more…

Mathematical Finance · Quantitative Finance 2024-07-01 Will Hicks

Identifying market abuse activity from data on investors' trading activity is very challenging both for the data volume and for the low signal to noise ratio. Here we propose two complementary unsupervised machine learning methods to…

Statistical Finance · Quantitative Finance 2022-12-13 Piero Mazzarisi , Adele Ravagnani , Paola Deriu , Fabrizio Lillo , Francesca Medda , Antonio Russo

This paper introduces an approach to gas-like models, from the concept of entropy, using the money stock data of two economic agents, in this case of two countries, which carry out market actions (trading) in two theoretical scenarios: in…

Physics and Society · Physics 2024-06-25 Henry D. Vera Ramirez

An Entropic Dynamics of exchange rates is laid down to model the dynamics of foreign exchange rates, FX, and European Options on FX. The main objective is to represent an alternative framework to model dynamics. Entropic inference is an…

Pricing of Securities · Quantitative Finance 2019-08-28 Mohammad Abedi , Daniel Bartolomeo

A new model for stocks markets using integer values for each stock price is presented. In contrast with previously reported models, the variables used in the model are not of binary type, but of more general integer type. It is shown how…

Condensed Matter · Physics 2007-05-23 Juan R. Sanchez

Graph based entropy, an index of the diversity of events in their distribution to parts of a co-occurrence graph, is proposed for detecting signs of structural changes in the data that are informative in explaining latent dynamics of…

Social and Information Networks · Computer Science 2019-05-03 Yukio Ohsawa

In this paper we attempt to introduce an econophysics approach to evaluate some aspects of the risks in financial markets. For this purpose, the thermodynamical methods and statistical physics results about entropy and equilibrium states in…

Risk Management · Quantitative Finance 2009-08-03 Anca Gheorghiu , Ion Spanulescu

We investigate activities that have different periods of duration. We define the profit intensity as a measure of this economic category. The profit intensity in a repeated trading has a unique property of attaining its maximum at a fixed…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 Edward W. Piotrowski , Jan Sladkowski

We propose utilizing entropy as a diagnostic tool to distinguish between constant and dynamical dark energy models. Entropy, a measure of the system's disorder or information content, captures the complexity and evolution of the universe.…

General Relativity and Quantum Cosmology · Physics 2025-07-16 Tanisha Joshi

Entropy is a measure of self-information which is used to quantify losses. Entropy was developed in thermodynamics, but is also used to compare probabilities based on their deviating information content. Corresponding model uncertainty is…

Probability · Mathematics 2018-01-23 Alois Pichler , Ruben Schlotter

This thesis applies entropy as a model independent measure to address three research questions concerning financial time series. In the first study we apply transfer entropy to drawdowns and drawups in foreign exchange rates, to study their…

Statistical Finance · Quantitative Finance 2018-07-26 Stephan Schwill

Threat modeling has been successfully applied to model technical threats within information systems. However, a lack of methods focusing on non-technical assets and their representation can be observed in theory and practice. Following the…

Cryptography and Security · Computer Science 2024-09-04 Jan von der Assen , Jasmin Hochuli , Thomas Grübl , Burkhard Stiller

The theory of thermal macroeconomics (TM) analyses economic phenomena within the mathematical framework of classical thermodynamics, using a set of axioms that apply to the purely macroscopic aspects of an economy [CM]. The theory shows…

General Economics · Economics 2026-03-12 Yihang Luo , Robert S. MacKay , Nick Chater

An effective way to scale up test-time compute of large language models is to sample multiple responses and then select the best one, as in Grok Heavy and Gemini Deep Think. Existing selection methods often rely on external reward models,…

Machine Learning · Computer Science 2026-05-04 Wenshuo Zhao , Qi Zhu , Xingshan Zeng , Fei Mi , Lifeng Shang , Yi R. , Fung

We present a numerically efficient approach for learning a risk-neutral measure for paths of simulated spot and option prices up to a finite horizon under convex transaction costs and convex trading constraints. This approach can then be…

Computational Finance · Quantitative Finance 2021-07-15 Hans Buehler , Phillip Murray , Mikko S. Pakkanen , Ben Wood

The large integration of variable energy resources is expected to shift a large part of the energy exchanges closer to real-time, where more accurate forecasts are available. In this context, the short-term electricity markets and in…

Trading and Market Microstructure · Quantitative Finance 2020-04-14 Ioannis Boukas , Damien Ernst , Thibaut Théate , Adrien Bolland , Alexandre Huynen , Martin Buchwald , Christelle Wynants , Bertrand Cornélusse
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