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We study a class of heterogeneous agent-based models which are based on a basic set of principles, and the most fundamental operations of an economic system: trade and product transformations. A basic guiding principle is scale invariance,…

Trading and Market Microstructure · Quantitative Finance 2009-02-24 Samuel E. Vazquez

In setting up a stochastic description of the time evolution of a financial index, the challenge consists in devising a model compatible with all stylized facts emerging from the analysis of financial time series and providing a reliable…

Statistical Finance · Quantitative Finance 2009-11-13 Fulvio Baldovin , Attilio L. Stella

Tracking the build-up of financial vulnerabilities is a key component of financial stability policy. Due to the complexity of the financial system, this task is daunting, and there have been several proposals on how to manage this goal. One…

Statistical Finance · Quantitative Finance 2024-12-19 Katalin Varga , Tibor Szendrei

As demonstrated during the recent financial crisis, regulators require additional analytical tools to assess systemic risk in the financial sector. This paper describes one such tool; namely a novel market modeling and analysis capability.…

Trading and Market Microstructure · Quantitative Finance 2011-05-30 Brian Tivnan , Matthew Koehler , Matthew McMahon , Matthew Olson , Neal Rothleder , Rajani Shenoy

We examine a system of N=2 coupled non-linear delay-differential equations representing financial market dynamics. In such time delay systems, coupled oscillations have been derived. We linearize the system for small time delays and study…

Physics and Society · Physics 2025-11-27 Ghassan Dibeh , Omar El Deeb

In this paper, we present the possibility of using the Ising like models to explain by Statistical Physics means the connection between the financial discontinuities (herd behavior, bubbles, crashes) and "critical points" in physical of…

Statistical Mechanics · Physics 2007-05-23 Dorina Andru Vangheli , Gheorghe Ardelean

Motivated by empirical observations on the interplay of trends and reversion, a lattice gas model of financial markets is presented. The shares of an asset are modeled by gas molecules that are distributed across a hidden social network of…

Statistical Finance · Quantitative Finance 2022-03-02 Christof Schmidhuber

We introduce and study a non-equilibrium continuous-time dynamical model of the price of a single asset traded by a population of heterogeneous interacting agents in the presence of uncertainty and regulatory constraints. The model takes…

Adaptation and Self-Organizing Systems · Physics 2009-04-23 V. I. Yukalov , D. Sornette , E. P. Yukalova

We amend and extend the Chiarella model of financial markets to deal with arbitrary long-term value drifts in a consistent way. This allows us to improve upon existing calibration schemes, opening the possibility of calibrating individual…

Trading and Market Microstructure · Quantitative Finance 2026-02-11 Jutta G. Kurth , Adam A. Majewski , Jean-Philippe Bouchaud

Economic transformation -- change in what an economy produces -- is foundational to development and rising standards of living. Our understanding of this process has been propelled recently by two branches of work in the field of economic…

Physics and Society · Physics 2023-03-28 James McNerney , Yang Li , Andres Gomez-Lievano , Frank Neffke

Recent years have seen an unprecedented rise of the role that technology plays in all aspects of human activities. Unavoidably, technology has heavily entered the Capital Markets trading space, to the extent that all major exchanges are now…

Statistical Finance · Quantitative Finance 2015-05-05 Lucio Maria Calcagnile , Giacomo Bormetti , Michele Treccani , Stefano Marmi , Fabrizio Lillo

Since the inception of Bitcoin in 2008, cryptocurrencies have played an increasing role in the world of e-commerce, but the recent turbulence in the cryptocurrency market in 2018 has raised some concerns about their stability and associated…

Methodology · Statistics 2021-04-14 Yan Gong , Raphaël Huser

Business cycles (a periodic change of e.g. GDP over five to ten years) exist, but a proper explanation for it is still lacking. Here we extend the well-known NAIRU (non-accelerating inflation rate of unemployment) model, resulting in a set…

Theoretical Economics · Economics 2025-09-25 Galiya Klinkova , Michael Grabinski

Since Bitcoin first appeared on the scene in 2009, cryptocurrencies have become a worldwide phenomenon as important decentralized financial assets. Their decentralized nature, however, leads to notable volatility against traditional fiat…

Statistical Finance · Quantitative Finance 2024-10-23 Zeyd Boukhers , Azeddine Bouabdallah , Cong Yang , Jan Jürjens

In order to price contingent claims one needs to first understand the dynamics of these indices. Here we provide a first econometric analysis of the CRIX family within a time-series framework. The key steps of our analysis include model…

Statistical Finance · Quantitative Finance 2020-09-28 Shi Chen , Cathy Yi-Hsuan Chen , Wolfgang Karl Härdle

Norms of Persistent Homology introduced in topological data analysis are seen as indicators of system instability, analogous to the changing predictability that is captured in financial market uncertainty indexes. This paper demonstrates…

General Finance · Quantitative Finance 2021-10-04 Simon Rudkin , Wanling Qiu , Pawel Dlotko

The non-fungible token (NFT) market emerges as a recent trading innovation leveraging blockchain technology, mirroring the dynamics of the cryptocurrency market. The current study is based on the capitalization changes and transaction…

Statistical Finance · Quantitative Finance 2024-07-09 Marcin Wątorek , Paweł Szydło , Jarosław Kwapień , Stanisław Drożdż

Modern evolvements of the technologies have been leading to a profound influence on the financial market. The introduction of constituents like Exchange-Traded Funds, and the wide-use of advanced technologies such as algorithmic trading,…

Statistical Finance · Quantitative Finance 2021-08-20 Liao Zhu

Technological developments and the impact of artificial intelligence (AI) are omnipresent themes and concerns of the present day. Much has been written on these topics but applications of quantitative models to understand the techno-social…

Physics and Society · Physics 2026-02-04 Sabin Roman , Francesco Bertolotti

The efficiency of a modern economy depends on what we call the Value-Tracking Hypothesis: that market prices of key assets broadly track some underlying value. This can be expected if a sufficient weight of market participants are…

Trading and Market Microstructure · Quantitative Finance 2019-11-21 Nicholas CL Beale , Richard M Gunton , Kutlwano L Bashe , Heather S Battey , Robert S MacKay
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