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In this paper, we explore some stylized facts of the Bitcoin market using the BTC-USD exchange rate time series of historical intraday data from 2013 to 2020. Bitcoin presents some very peculiar idiosyncrasies, like the absence of…

Statistical Finance · Quantitative Finance 2024-09-04 F. N. M. de Sousa Filho , J. N. Silva , M. A. Bertella , E. Brigatti

Many financial and economic variables, including financial returns, exhibit nonlinear dependence, heterogeneity and heavy-tailedness. These properties may make problematic the analysis of (non-)efficiency and volatility clustering in…

Econometrics · Economics 2023-12-01 Rustam Ibragimov , Rasmus Pedersen , Anton Skrobotov

We model the dynamics of the cryptocurrency (CC) asset class via a stochastic volatility with correlated jumps (SVCJ) model with rolling-window parameter estimates. By analyzing the time-series of parameters, stylized patterns are…

Statistical Finance · Quantitative Finance 2022-01-07 Konstantin Häusler , Wolfgang Karl Härdle

Multivariate Distributions are needed to capture the correlation structure of complex systems. In previous works, we developed a Random Matrix Model for such correlated multivariate joint probability density functions that accounts for the…

Statistical Finance · Quantitative Finance 2025-12-02 Anton J. Heckens , Efstratios Manolakis , Cedric Schuhmann , Thomas Guhr

In modern times, the cryptocurrency market is one of the world's most rapidly rising financial markets. The cryptocurrency market is regarded to be more volatile and illiquid than traditional markets such as equities, foreign exchange, and…

Statistical Finance · Quantitative Finance 2024-12-03 Anika Tahsin Meem

It is well known that there are asymmetric dependence structures between financial returns. In this paper we use a new nonparametric measure of local dependence, the local Gaussian correlation, to improve portfolio allocation. We extend the…

Portfolio Management · Quantitative Finance 2021-06-24 Anders D. Sleire , Bård Støve , Håkon Otneim , Geir Drage Berentsen , Dag Tjøstheim , Sverre Hauso Haugen

This paper distinguishes between risk resonance and risk diversification relationships in the cryptocurrency market based on the newly developed asymmetric breakpoint approach, and analyzes the risk propagation mechanism among…

Risk Management · Quantitative Finance 2026-05-19 Wenjie Lan

The recent emergence of cryptocurrencies such as Bitcoin and Ethereum has posed possible alternatives to global payments as well as financial assets around the globe, making investors and financial regulators aware of the importance of…

Statistical Finance · Quantitative Finance 2021-07-02 Shinji Kakinaka , Ken Umeno

This paper presents a quantitative analysis of the relationship between the stock market returns and corresponding trading volumes using high- frequency data from the Polish stock market. First, for stocks that were traded for suffciently…

Statistical Finance · Quantitative Finance 2013-11-06 Rafal Rak , Stanislaw Drozdz , Jaroslaw Kwapien , Pawel Oswiecimka

Many cryptocurrency brokers nowadays offer a variety of derivative assets that allow traders to perform hedging or speculation. This paper proposes an effective algorithm based on neural networks to take advantage of these investment…

Machine Learning · Computer Science 2023-10-03 Quoc Minh Nguyen , Dat Thanh Tran , Juho Kanniainen , Alexandros Iosifidis , Moncef Gabbouj

We consider a portfolio allocation problem for trend following (TF) strategies on multiple correlated assets. Under simplifying assumptions of a Gaussian market and linear TF strategies, we derive analytical formulas for the mean and…

Portfolio Management · Quantitative Finance 2020-01-03 Denis S. Grebenkov , Jeremy Serror

In this work, we consider the optimal portfolio selection problem under hard constraints on trading amounts, transaction costs and different rates for borrowing and lending when the risky asset returns are serially correlated. No…

Portfolio Management · Quantitative Finance 2014-10-30 Vladimir Dombrovskii , Tatyana Obedko

We report evidence of a deep interplay between cross-correlations hierarchical properties and multifractality of New York Stock Exchange daily stock returns. The degree of multifractality displayed by different stocks is found to be…

Statistical Finance · Quantitative Finance 2014-04-10 Raffaello Morales , T. Di Matteo , Tomaso Aste

Cryptocurrencies (CCs) have risen rapidly in market capitalization over the last years. Despite striking price volatility, their high average returns have drawn attention to CCs as alternative investment assets for portfolio and risk…

Portfolio Management · Quantitative Finance 2020-09-18 Alla Petukhina , Simon Trimborn , Wolfgang Karl Härdle , Hermann Elendner

Our analysis focuses on the stock cryptocurrency market, by studying a group of nineteen cryptocurrencies where their capitalisation is about 99% of the total market. Specifically, it is examined this group of cryptocurrencies for the…

Physics and Society · Physics 2025-08-29 Stergios Intzes , Georgios D. Papadopoulos , Lykourgos Magafas

Over the last decade, the cryptocurrency market has experienced unprecedented growth, emerging as a prominent financial market. As this market rapidly evolves, it necessitates re-evaluating which cryptocurrencies command the market and…

Statistical Finance · Quantitative Finance 2024-01-31 Arnav Hiray , Pratvi Shah , Vishwa Shah , Agam Shah , Sudheer Chava , Mukesh Tiwari

Existing studies on crypto wash trading often use indirect statistical methods or leaked private data, both with inherent limitations. This paper leverages public on-chain NFT data for a more direct and granular estimation. Analyzing three…

General Economics · Economics 2025-03-04 Brett Hemenway Falk , Gerry Tsoukalas , Niuniu Zhang

We propose a general interpretation for long-range correlation effects in the activity and volatility of financial markets. This interpretation is based on the fact that the choice between `active' and `inactive' strategies is subordinated…

Disordered Systems and Neural Networks · Physics 2009-11-07 Irene Giardina , Jean-Philippe Bouchaud , Marc Mézard

We discuss the foundations of factor or regression models in the light of the self-consistency condition that the market portfolio (and more generally the risk factors) is (are) constituted of the assets whose returns it is (they are)…

Physics and Society · Physics 2009-11-13 Y. Malevergne , D. Sornette

We present explicit formulas - that are also computer code - for 101 real-life quantitative trading alphas. Their average holding period approximately ranges 0.6-6.4 days. The average pair-wise correlation of these alphas is low, 15.9%. The…

Portfolio Management · Quantitative Finance 2016-08-01 Zura Kakushadze
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