Application of Theoretical Models to Financial Innovation
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Financial Market Modeling with Quantum Neural Networks Arxiv
Financial Market Modeling with Quantum Neural Networks Carlos Pedro Gonçalves August 27, 2015 Instituto Superior de Ciências Sociais e Políticas (ISCSP) - University of Lisbon, E-mail: [email protected] Abstract Econophysics has developed as a research field that applies the for- malism of Statistical Mechanics and Quantum Mechanics to address Economics and Finance problems. The branch of Econophysics that applies of Quantum Theory to Economics and Finance is called Quan- tum Econophysics. In Finance, Quantum Econophysics’ contributions have ranged from option pricing to market dynamics modeling, behav- ioral finance and applications of Game Theory, integrating the empir- ical finding, from human decision analysis, that shows that nonlinear update rules in probabilities, leading to non-additive decision weights, can be computationally approached from quantum computation, with resulting quantum interference terms explaining the non-additive prob- abilities. The current work draws on these results to introduce new tools from Quantum Artificial Intelligence, namely Quantum Artifi- arXiv:1508.06586v1 [q-fin.CP] 26 Aug 2015 cial Neural Networks as a way to build and simulate financial market models with adaptive selection of trading rules, leading to turbulence and excess kurtosis in the returns distributions for a wide range of parameters. Keywords: Finance, Econophysics, Quantum Artificial Neural Networks, Quantum Stochastic Processes, Cognitive Science 1 1 Introduction One of the major problems of financial modeling has been to address com- plex financial returns dynamics, in particular, excess kurtosis and volatility- related turbulence which lead to statistically significant deviations from the Gaussian random walk model worked in traditional Financial Theory (Arthur et al., 1997; Voit, 2001; Ilinsky, 2001; Focardi and Fabozzi, 2004). -
Lecture 13: Financial Disasters and Econophysics
Lecture 13: Financial Disasters and Econophysics Big problem: Power laws in economy and finance vs Great Moderation: (Source: http://www.mckinsey.com/business-functions/strategy-and-corporate-finance/our-insights/power-curves-what- natural-and-economic-disasters-have-in-common Analysis of big data, discontinuous change especially of financial sector, where efficient market theory missed the boat has drawn attention of specialists from physics and mathematics. Wall Street“quant”models may have helped the market implode; and collapse spawned econophysics work on finance instability. NATURE PHYSICS March 2013 Volume 9, No 3 pp119-197 : “The 2008 financial crisis has highlighted major limitations in the modelling of financial and economic systems. However, an emerging field of research at the frontiers of both physics and economics aims to provide a more fundamental understanding of economic networks, as well as practical insights for policymakers. In this Nature Physics Focus, physicists and economists consider the state-of-the-art in the application of network science to finance.” The financial crisis has made us aware that financial markets are very complex networks that, in many cases, we do not really understand and that can easily go out of control. This idea, which would have been shocking only 5 years ago, results from a number of precise reasons. What does physics bring to social science problems? 1- Heterogeneous agents – strange since physics draws strength from electron is electron is electron but STATISTICAL MECHANICS --- minority game, finance artificial agents, 2- Facility with huge data sets – data-mining for regularities in time series with open eyes. 3- Network analysis 4- Percolation/other models of “phase transition”, which directs attention at boundary conditions AN INTRODUCTION TO ECONOPHYSICS Correlations and Complexity in Finance ROSARIO N. -
From Big Data to Econophysics and Its Use to Explain Complex Phenomena
Journal of Risk and Financial Management Review From Big Data to Econophysics and Its Use to Explain Complex Phenomena Paulo Ferreira 1,2,3,* , Éder J.A.L. Pereira 4,5 and Hernane B.B. Pereira 4,6 1 VALORIZA—Research Center for Endogenous Resource Valorization, 7300-555 Portalegre, Portugal 2 Department of Economic Sciences and Organizations, Instituto Politécnico de Portalegre, 7300-555 Portalegre, Portugal 3 Centro de Estudos e Formação Avançada em Gestão e Economia, Instituto de Investigação e Formação Avançada, Universidade de Évora, Largo dos Colegiais 2, 7000 Évora, Portugal 4 Programa de Modelagem Computacional, SENAI Cimatec, Av. Orlando Gomes 1845, 41 650-010 Salvador, BA, Brazil; [email protected] (É.J.A.L.P.); [email protected] (H.B.B.P.) 5 Instituto Federal do Maranhão, 65075-441 São Luís-MA, Brazil 6 Universidade do Estado da Bahia, 41 150-000 Salvador, BA, Brazil * Correspondence: [email protected] Received: 5 June 2020; Accepted: 10 July 2020; Published: 13 July 2020 Abstract: Big data has become a very frequent research topic, due to the increase in data availability. In this introductory paper, we make the linkage between the use of big data and Econophysics, a research field which uses a large amount of data and deals with complex systems. Different approaches such as power laws and complex networks are discussed, as possible frameworks to analyze complex phenomena that could be studied using Econophysics and resorting to big data. Keywords: big data; complexity; networks; stock markets; power laws 1. Introduction Big data has become a very popular expression in recent years, related to the advance of technology which allows, on the one hand, the recovery of a great amount of data, and on the other hand, the analysis of that data, benefiting from the increasing computational capacity of devices. -
An Application of Econophysics to the History of Economic Thought: the Analysis of Texts from the Frequency of Appearance of Key Words
Discussion Paper No. 2015-51 | July 15, 2015 | http://www.economics-ejournal.org/economics/discussionpapers/2015-51 An Application of Econophysics to the History of Economic Thought: The Analysis of Texts from the Frequency of Appearance of Key Words Estrella Trincado and José María Vindel Abstract This article poses a new methodology applying the statistical analysis to the economic literature. This analysis has never been used in the history of economic thought, albeit it may open up new possibilities and provide us with further explanations so as to reconsider theoretical issues. With that purpose in mind, the article applies the intermittency of the turbulence in different economic texts, and specifically in three important authors: William Stanley Jevons, Adam Smith, and Karl Marx. JEL B16 B40 C18 Z11 Keywords Econophysics; history of economic thought; bibliometrics; applications of statistical analysis Authors Estrella Trincado, Universidad Complutense de Madrid, Spain, [email protected] José María Vindel, Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas, Madrid, Spain Citation Estrella Trincado and José María Vindel (2015). An Application of Econophysics to the History of Economic Thought: The Analysis of Texts from the Frequency of Appearance of Key Words. Economics Discussion Papers, No 2015-51, Kiel Institute for the World Economy. http://www.economics-ejournal.org/economics/discussionpapers/2015-51 Received July 7, 2015 Accepted as Economics Discussion Paper July 13, 2015 Published July 15, 2015 © Author(s) 2015. Licensed under the Creative Commons License - Attribution 3.0 1. INTRODUCTION The most obvious and usual way to deal with economic texts is to try to understand in an analytical way the theories put forward by the authors providing a scientific, social and economic context for that specific literature. -
A Critique of Econophysics
Munich Personal RePEc Archive Toolism! A Critique of Econophysics Kakarot-Handtke, Egmont University of Stuttgart, Institute of Economics and Law 30 April 2013 Online at https://mpra.ub.uni-muenchen.de/46630/ MPRA Paper No. 46630, posted 30 Apr 2013 13:04 UTC Toolism! A Critique of Econophysics Egmont Kakarot-Handtke* Abstract Economists are fond of the physicists’ powerful tools. As a popular mindset Toolism is as old as economics but the transplants failed to produce the same successes as in their aboriginal environment. Economists therefore looked more and more to the math department for inspiration. Now the tide turns again. The ongoing crisis discredits standard economics and offers the chance for a comeback. Modern econophysics commands the most powerful tools and argues that there are many occasions for their application. The present paper argues that it is not a change of tools that is most urgently needed but a paradigm change. JEL A12, B16, B41 Keywords new framework of concepts; structure-centric; axiom set; paradigm; income; profit; money; invariance principle *Affiliation: University of Stuttgart, Institute of Economics and Law, Keplerstrasse 17, D-70174 Stuttgart. Correspondence address: AXEC, Egmont Kakarot-Handtke, Hohenzollernstraße 11, D- 80801 München, Germany, e-mail: [email protected] 1 1 Powerful tools When Arnold Schwarzenegger, in his most popular roles, has seen and suffered enough evil he makes up his mind and first of all breaks into a gun store. With the eyes of an expert he spots the most suitable devices for the upcoming tasks. When he leaves the store with maximum firepower and determination we can rely upon that in the sequel humankind will be better off. -
Econophysics Point of View of Trade Liberalization: Community Dynamics, Synchronization, and Controllability As Example of Collective Motions
DPRIETI Discussion Paper Series 16-E-026 Econophysics Point of View of Trade Liberalization: Community dynamics, synchronization, and controllability as example of collective motions IKEDA Yuichi AOYAMA Hideaki Kyoto University RIETI IYETOMI Hiroshi MIZUNO Takayuki Niigata University National Institute of Informatics OHNISHI Takaaki SAKAMOTO Yohei University of Tokyo Kyoto University WATANABE Tsutomu University of Tokyo The Research Institute of Economy, Trade and Industry http://www.rieti.go.jp/en/ RIETI Discussion Paper Series 16-E-026 March 2016 Econophysics Point of View of Trade Liberalization: Community dynamics, synchronization, and controllability as example of collective motions* IKEDA Yuichi 1, AOYAMA Hideaki 2 IYETOMI Hiroshi 3, MIZUNO Takayuki 4, OHNISHI Takaaki 5, SAKAMOTO Yohei2, WATANABE Tsutomu 6 1 Graduate School of Advanced Integrated Studies in Human Survivability, Kyoto University, 2 Graduate School of Science, Kyoto University 3 Graduate School of Science and Technology, Niigata University 4 Information and Society Research Division, National Institute of Informatics, 5 Graduate School of Information Science and Technology, University of Tokyo 6 Graduate School of Economics, University of Tokyo Abstract In physics, it is known that various collective motions exist. For instance, a large deformation of heavy nuclei at a highly excited state, which subsequently proceeds to fission, is a typical example. This phenomenon is a quantum mechanical collective motion due to strong nuclear force between nucleons in a microscopic system consisting of a few hundred nucleons. Most national economies are linked by international trade and consequently economic globalization forms a giant economic complex network with strong links, i.e., interactions due to increasing trade. In Japan, many small and medium enterprises could achieve higher economic growth by free trade based on the establishment of an economic partnership agreement (EPA), such as the Trans-Pacific Partnership (TPP). -
Econophysics: a Brief Review of Historical Development, Present Status and Future Trends
1 Econophysics: A Brief Review of Historical Development, Present Status and Future Trends. B.G.Sharma Sadhana Agrawal Department of Physics and Computer Science, Department of Physics Govt. Science College Raipur. (India) NIT Raipur. (India) [email protected] [email protected] Malti Sharma WQ-1, Govt. Science College Raipur. (India) [email protected] D.P.Bisen SOS in Physics, Pt. Ravishankar Shukla University Raipur. (India) [email protected] Ravi Sharma Devendra Nagar Girls College Raipur. (India) [email protected] Abstract: The conventional economic 1. Introduction: approaches explore very little about the dynamics of the economic systems. Since such How is the stock market like the cosmos systems consist of a large number of agents or like the nucleus of an atom? To a interacting nonlinearly they exhibit the conservative physicist, or to an economist, properties of a complex system. Therefore the the question sounds like a joke. It is no tools of statistical physics and nonlinear laughing matter, however, for dynamics has been proved to be very useful Econophysicists seeking to plant their flag in the underlying dynamics of the system. In the field of economics. In the past few years, this paper we introduce the concept of the these trespassers have borrowed ideas from multidisciplinary field of econophysics, a quantum mechanics, string theory, and other neologism that denotes the activities of accomplishments of physics in an attempt to Physicists who are working on economic explore the divine undiscovered laws of problems to test a variety of new conceptual finance. They are already tallying what they approaches deriving from the physical science say are important gains. -
Response to “Worrying Trends in Econophysics” Joseph L. Mccauley Physics Department University of Houston Houston, Tx. 77204
Response to “Worrying Trends in Econophysics” Joseph L. McCauley Physics Department University of Houston Houston, Tx. 77204 [email protected] and Senior Fellow COBERA Department of Economics J.E.Cairnes Graduate School of Business and Public Policy NUI Galway, Ireland Abstract This article is a response to the recent “Worrying Trends in Econophysics” critique written by four respected theoretical economists [1]. Two of the four have written books and papers that provide very useful critical analyses of the shortcomings of the standard textbook economic model, neo-classical economic theory [2,3] and have even endorsed my book [4]. Largely, their new paper reflects criticism that I have long made [4,5,6,7,] and that our group as a whole has more recently made [8]. But I differ with the authors on some of their criticism, and partly with their proposed remedy. 1. Money, conservation laws, and neo-classical economics Our concerns are fourfold. First, a lack of awareness of work which has been done within economics itself. Second, resistance to more rigorous and robust statistical methodology. Third, the belief that universal empirical regularities can be found in many areas of economic activity. Fourth, the theoretical models which are being used to explain empirical phenomena. The latter point is of particular concern. Essentially, the models are based upon models of statistical physics in which energy is conserved in exchange processes. Gallegati, Keen, Lux, and Ormerod [1] Since the authors of “Worrying” [1] begin with an attack on assumptions of conservation of money and analogs of conservation of energy in economic modelling, let me state from the outset that it would generally be quite useless to assume conserved quantities in economics and finance (see [4], Ch. -
Where Does Econophysics Fit in the Complexity Revolution? Dave Colander (Middlebury College)
Where does Econophysics fit in the Complexity Revolution? Dave Colander (Middlebury College) Early Draft Paper Prepared for the 2018 ASSA Meetings Philadelphia, PA. Jan 5th-7th Abstract A revolution is occurring in economics that is changing its scope and method. I call it the complexity revolution. The question I explore in this paper is: Where does econophysics fit in that revolution? I argue that the changing methods generally associated with the term econophysics are occurring because of advances in analytic and computational technology, and are not uniquely attributable to integrating physics and economics. Thus, using the term “econophysics” is likely to mislead people as to the nature of the complexity revolution. That complexity revolution involves an exploration of envisioning the economy as a complex evolving system driven by often unintended consequences of actions by purposeful agents. It is a vision that is more related to biology than to physics, and, at this stage of its development, is better thought of as an engineering revolution than a scientific revolution. Where does Econophysics fit in the Complexity Revolution? Dave Colander (Middlebury College) A revolution is occurring in economics. I call it the complexity revolution. Almost twenty years ago (Colander 2000) I predicted that in 50 to 100 years when historians of economics look back on the millennium, they would classify it as the end of the neoclassical era in economics and the beginning of the complexity era of economics. I stand by that prediction. The question I address in this paper is: Where does econophysics fit in that revolution?1 Before I turn to that question, let briefly summarize what I mean by the complexity revolution in economics.2 It is an expansion of the scope of economics to consider issues, such as complex dynamics, and semi-endogenous tastes and norms, that previously were assumed fixed. -
Econophysics and Financial–Economic Monitoring
Econophysics and Financial–Economic Monitoring A. N. Panchenkov The Higher School of Economics – Nizhny Novgorod Branch Russia, 603155, Nizhniy Novgorod, 25/12 Bolshaya Pechorskaya St. e-mail: [email protected] The author solves two problems: formation of object of econophysics, creation of the general theory of financial-economic monitoring. In the first problem he studied two fundamental tasks: a choice of conceptual model and creation of axiomatic base. It is accepted, that the conceptual model of econophysics is a concrete definition of entropy conceptual model. Financial and economic monitoring is considered as monitoring of flows on entropy manifold of phase space – on a Diffusion field. Contents 1. The deep reason of Econophysics occurrence 2. Results of Econophysics 3. Formation of object of Econophysics and creation of Axiomatic Base 4. The postulates of Econophysics 5. Entropy conceptual model of econophysics 6. Forecasting 7. Financial-economic monitoring: the definition 8. Phase space: global symmetry - the law of entropy preservation 9. Entropy manifolds: Hilbertian field 10. Diffusion: Diffusion field 11. Entropy Time 12. Financial-economic monitoring is the monitoring of flows on Diffusion field 13. The equations of the financial-economic monitoring 14. The matrix of density of an impulse 15. Destruction and restoration of financial - economic structures Bibliography 1 1. The deep reason of Econophysics occurrence The time of econophysics occurrence is usually connected with the advent of the book by R. N. Mantegna and N. E. Stanley (2000) «Introduction in econophysics» [1]. The initial idea underlying creation of the new independent section of economy bases on an actuality of application of methodology, the theory and means of physics for research of developing economic systems, objects, processes etc. -
Quantum Propensity in Economics David Orrell Monireh Houshmand Abstract
1 Quantum propensity in economics David Orrell1 Monireh Houshmand2 Abstract: This paper describes an approach to economics that is inspired by quantum computing, and is motivated by the need to develop a consistent quantum mathematical framework for economics. The traditional neoclassical approach assumes that rational utility-optimisers drive market prices to a stable equilibrium, subject to external perturbations. While this approach has been highly influential, it has come under increasing criticism following the financial crisis of 2007/8. The quantum approach, in contrast, is inherently probabilistic and dynamic. Decision- makers are described, not by a utility function, but by a propensity function which specifies the probability of transacting. We show how a number of cognitive phenomena such as preference reversal and the disjunction effect can be modelled by using a simple quantum circuit to generate an appropriate propensity function. Conversely, a general propensity function can be quantized to incorporate effects such as interference and entanglement that characterise human decision- making. Applications to some common problems in economics and finance are discussed. Keywords: Quantum economics, quantum finance, quantum cognition, quantum probability, quantum decision theory, quantum computing 1. Introduction Theories of economics always rely on theories of value. In classical economics, it was assumed that value is the product of labour (Smith, 1776). A problem of course is that labour is difficult to measure, and the link with value is not always clear. This became obvious with the development of sophisticated financial markets in the late nineteenth century, where prices for something like a 1 Systems Forecasting, Toronto, Canada 2 Department of Electrical Engineering, Imam Reza International University, Mashhad, Iran. -
The Relationship Between Changes in Cash Dividends and Volatility of Stock Returns
The Relationship between Changes in Cash Dividends and Volatility of Stock Returns - A Study of the Swedish Stock Market Authors: Cecilia Nylander Sandra Renberg Supervisor: Catherine Lions Student Umeå School of Business and Economics Spring semester 2013 Degree project, 30 hp Acknowledgement We would like to take the opportunity to thank and express our sincere gratitude to everyone who has supported and given us very valuable feedback during the completion of this research. First of all, we would like to give our appreciation to our supervisor Catherine Lions who has, with her knowledge in the field, provided us with continuous feedback on our work, which, has proven to be extremely valuable in the completion of this study. Furthermore, Catherine has been our greatest sounding board and motivator throughout this journey for which we are deeply grateful. Secondly, we would like to thank the statistical department of Umeå University. Especially, we express our gratitude toward Kenny Brännberg and Johan Svensson who guided us in the statistical analysis of this research. Thank you for taking the time to help us and provide us with valuable suggestions on how to best conduct the analysis of the data. Sincerely, Cecilia Nylander and Sandra Renberg I Abstract The dividend policy and the distribution of cash dividend can be of interest to the investors from many angles. Consequently, many theories have been built on the relevance of dividend policy and there are several theories proposing that dividends increase shareholder value. However, the most famous theory on dividend policy might be Miller and Modigliani's dividend irrelevance theory which implies that the dividend policy does not affect shareholder value.