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Fundamental variables in financial market are not only price and return but a very important role is also played by trading volumes. Here we propose a new multivariate model that takes into account price returns, logarithmic variation of…

Statistical Finance · Quantitative Finance 2020-07-14 Guglielmo D'Amico , Filippo Petroni

We establish the existence of anomalous excess returns based on trend following strategies across four asset classes (commodities, currencies, stock indices, bonds) and over very long time scales. We use for our studies both futures time…

Portfolio Management · Quantitative Finance 2014-04-15 Y. Lempérière , C. Deremble , P. Seager , M. Potters , J. P. Bouchaud

We study the distribution of occupation times for a one-dimensional random walk restricted to a finite interval by reflecting boundary conditions. At short times the classical bimodal distribution due to L\'evy is reproduced with walkers…

Statistical Mechanics · Physics 2022-04-06 Sascha Kaldasch , Andreas Engel

Unlike price fluctuations, the temporal structure of cryptocurrency trading has seldom been a subject of systematic study. In order to fill this gap, we analyse detrended correlations of the price returns, the average number of trades in…

Statistical Finance · Quantitative Finance 2022-08-03 Marcin Wątorek , Jarosław Kwapień , Stanisław Drożdż

We develop a behavioral model for liquidity and volatility based on empirical regularities in trading order flow in the London Stock Exchange. This can be viewed as a very simple agent based model in which all components of the model are…

Statistical Finance · Quantitative Finance 2008-12-02 Szabolcs Mike , J. Doyne Farmer

We develop a strong diagnostic for bubbles and crashes in bitcoin, by analyzing the coincidence (and its absence) of fundamental and technical indicators. Using a generalized Metcalfe's law based on network properties, a fundamental value…

Econometrics · Economics 2018-03-16 Spencer Wheatley , Didier Sornette , Tobias Huber , Max Reppen , Robert N. Gantner

Accurately identifying the extremal dependence structure in multivariate heavy-tailed data is a fundamental yet challenging task, particularly in financial applications. Following a recently proposed bootstrap-based testing procedure, we…

Statistics Theory · Mathematics 2025-06-06 Qian Hui , Sidney I. Resnick , Tiandong Wang

According to the leading models in modern finance, the presence of intraday lead-lag relationships between financial assets is negligible in efficient markets. With the advance of technology, however, markets have become more sophisticated.…

Statistical Finance · Quantitative Finance 2014-01-03 Chester Curme , Michele Tumminello , Rosario N. Mantegna , H. Eugene Stanley , Dror Y. Kenett

What do binary (or probabilistic) forecasting abilities have to do with overall performance? We map the difference between (univariate) binary predictions, bets and "beliefs" (expressed as a specific "event" will happen/will not happen) and…

General Finance · Quantitative Finance 2020-04-10 Nassim Nicholas Taleb

We study the volatility of the MIB30-stock-index high-frequency data from November 28, 1994 through September 15, 1995. Our aim is to empirically characterize the volatility random walk in the framework of continuous-time finance. To this…

Statistical Mechanics · Physics 2008-12-02 Marco Raberto , Enrico Scalas , Gianaurelio Cuniberti , Massimo Riani

Exploring complex adaptive financial trading environments through multi-agent based simulation methods presents an innovative approach within the realm of quantitative finance. Despite the dominance of multi-agent reinforcement learning…

Computational Finance · Quantitative Finance 2024-05-07 Alicia Vidler , Toby Walsh

We introduce Hermite fractional financial markets, where market uncertainties are described by multidimensional Hermite motions. Hermite markets include as particular cases financial markets driven by multivariate fractional Brownian motion…

Mathematical Finance · Quantitative Finance 2016-12-28 Svetlozar T. Rachev , Stefan Mittnik , Frank J. Fabozzi

This paper investigates how the conditional quantiles of future returns and volatility of financial assets vary with various measures of ex-post variation in asset prices as well as option-implied volatility. We work in the flexible…

Statistical Finance · Quantitative Finance 2013-08-21 Filip Zikes , Jozef Barunik

We propose a new model for the forecasting of both the implied volatility surfaces and the underlying asset price. In the spirit of Guyon and Lekeufack (2023) who are interested in the dependence of volatility indices (e.g. the VIX) on the…

Computational Finance · Quantitative Finance 2025-10-15 Hervé Andrès , Alexandre Boumezoued , Benjamin Jourdain

This paper presents an in-depth analysis of stylized facts in the context of futures on German bonds. The study examines four futures contracts on German bonds: Schatz, Bobl, Bund and Buxl, using tick-by-tick limit order book datasets. It…

Statistical Finance · Quantitative Finance 2024-01-22 Hamza Bodor , Laurent Carlier

Quantum walks are quantum counterparts of random walks and their probability distributions are different from each other. A quantum walker distributes on a Hilbert space and it is observed at a location with a probability. The finding…

Quantum Physics · Physics 2025-08-26 Takuya Machida

This paper examines quantile dependence between international stock markets and evaluates its use for improving volatility forecasting. First, we analyze quantile dependence and directional predictability between the US stock market and…

Statistical Finance · Quantitative Finance 2016-08-26 Heejoon Han

Counterintuitively, the S&P 500 Index rose between January 1, 2022, and December 29, 2023, while exchange-traded funds (ETFs) seeking to deliver 2x and 3x daily returns of the index delivered substantially negative returns. Roughly…

Portfolio Management · Quantitative Finance 2026-05-01 Stephen W. Bianchi , Lisa R. Goldberg

In this article, we consider the small-time asymptotics of options on a \emph{Leveraged Exchange-Traded Fund} (LETF) when the underlying Exchange Traded Fund (ETF) exhibits both local volatility and jumps of either finite or infinite…

Mathematical Finance · Quantitative Finance 2017-06-22 José E. Figueroa-López , Ruoting Gong , Matthew Lorig

The usual development of the continuous time random walk (CTRW) assumes that jumps and time intervals are a two-dimensional set of independent and identically distributed random variables. In this paper we address the theoretical setting of…

Data Analysis, Statistics and Probability · Physics 2008-09-29 Miquel Montero , Jaume Masoliver
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