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Forecasting costs is now a front burner in empirical economics. We propose an unconventional tool for stochastic prediction of future expenses based on the individual (micro) developments of recorded events. Consider a firm, enterprise,…

Econometrics · Economics 2019-09-20 Matúš Maciak , Ostap Okhrin , Michal Pešta

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

This paper develops a model for the bid and ask prices of a European type asset by formulating a stochastic control problem. The state process is governed by a modified geometric Brownian motion whose drift and diffusion coefficients depend…

Mathematical Finance · Quantitative Finance 2021-12-07 Engel John C. Dela Vega , Robert J. Elliott

There are two possible ways of interpreting the seemingly stochastic nature of financial markets: the Efficient Market Hypothesis (EMH) and a set of stylized facts that drive the behavior of the markets. We show evidence for some of the…

Statistical Finance · Quantitative Finance 2018-03-20 João Pedro Rodrigues do Carmo

Statistical analysis is an important tool to distinguish systematic from chance findings. Current statistical analyses rely on distributional assumptions reflecting the structure of some underlying model, which if not met lead to problems…

Statistics Theory · Mathematics 2023-11-15 Orestis Loukas , Ho Ryun Chung

The distribution of money is analysed in connection with the Boltzmann distribution of energy in the degenerate states of molecules. Plots of the population density of income distribution for various countries are well reproduced by a Gamma…

Statistical Mechanics · Physics 2009-11-10 Juan C. Ferrero

In this article we revisit the classic problem of tatonnement in price formation from a microstructure point of view, reviewing a recent body of theoretical and empirical work explaining how fluctuations in supply and demand are slowly…

Trading and Market Microstructure · Quantitative Finance 2008-12-02 Jean-Philippe Bouchaud , J. Doyne Farmer , Fabrizio Lillo

This paper tackles challenges in pricing and revenue projections due to consumer uncertainty. We propose a novel data-based approach for firms facing unknown consumer type distributions. Unlike existing methods, we assume firms only observe…

Theoretical Economics · Economics 2024-05-28 Duarte Gonçalves , Bruno A. Furtado

This paper introduces and formalizes the classical view on supply and demand, which, we argue, has an integrity independent and distinct from the neoclassical theory. Demand and supply, before the marginal revolution, are defined not by an…

Theoretical Economics · Economics 2023-07-04 Sabiou Inoua , Vernon Smith

The distribution of price returns for a class of uncorrelated diffusive dynamics is considered. The basic assumptions are (1) that there is a "consensus" value associated with a stock, and (2) that the rate of diffusion depends on the…

Other Condensed Matter · Physics 2008-12-02 A. L. Alejandro-Quinones , K. E. Bassler , M. Field , J. L. McCauley , M. Nicol , I. Timofeyef , A. Torok , G. H. Gunaratne

This work presents the results of an empirical research with the target of modeling the stylized facts of the daily expost System Marginal Price (SMP) of the Greek wholesale electricity market, using data from January 2004 to December of…

Statistical Finance · Quantitative Finance 2014-01-22 G. Papaioannou , P. Papaioannou , N. Parliaris

Classic market design theory is rooted in static models where all participants trade simultaneously. In contrast, modern platform-mediated digital markets are fundamentally dynamic, defined by the asynchronous and stochastic arrival of…

Theoretical Economics · Economics 2026-01-05 Yeon-Koo Che

A property of data which is common across a wide range of instruments, markets and time periods is known as stylized empirical fact in the financial statistics literature. This paper first presents a wide range of stylized facts studied in…

Statistical Finance · Quantitative Finance 2023-10-03 Vaibhav Sherkar , Rituparna Sen

This paper presents macroeconomic model that is based on parallels between macroeconomic multi-agent systems and multi-particle systems. We use risk ratings of economic agents as their coordinates on economic space. Aggregates of economic…

Economics · Quantitative Finance 2017-01-25 Victor Olkhov

The accurate prediction of short-term electricity prices is vital for effective trading strategies, power plant scheduling, profit maximisation and efficient system operation. However, uncertainties in supply and demand make such…

Econometrics · Economics 2023-04-20 Mira Watermeyer , Thomas Möbius , Oliver Grothe , Felix Müsgens

Estimating market impact and transaction costs of large trades (metaorders) is a very important topic in finance. However, using models of price and trade based on public market data provide average price trajectories which are…

Trading and Market Microstructure · Quantitative Finance 2025-12-04 Manuel Naviglio , Giacomo Bormetti , Francesco Campigli , German Rodikov , Fabrizio Lillo

Rate change calculations in the literature involve deterministic methods that measure the change in premium for a given policy. The definition of rate change as a statistical parameter is proposed to address the stochastic nature of the…

Portfolio Management · Quantitative Finance 2018-10-26 Roland R. Ramsahai

Statistical thermodynamics delivers the probability distribution of the equilibrium state of matter through the constrained maximization of a special functional, entropy. Its elegance and enormous success have led to numerous attempts to…

Statistical Mechanics · Physics 2023-06-22 Themis Matsoukas

The state of economic theory and accumulated facts from the different branches of the economic science require to analyze the concept of the description of economy systems. The economic reality generates the problems the solution of that is…

Mathematical Finance · Quantitative Finance 2025-04-01 N. S. Gonchar

We present and study a Minority Game based model of a financial market where adaptive agents -- the speculators -- interact with deterministic agents -- called producers. Speculators trade only if they detect predictable patterns which…

Statistical Mechanics · Physics 2009-11-07 Damien Challet , Matteo Marsili , Yi-Cheng Zhang