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We study the temporal evolution of the holding-time distribution of bitcoins and find that the average distribution of holding-time is a heavy-tailed power law extending from one day to over at least $200$ weeks with an exponent…

Trading and Market Microstructure · Quantitative Finance 2024-01-10 Didier Sornette , Yu Zhang

We show that assuming that the returns are independent when conditioned on the value of their variance (volatility), which itself varies in time randomly, then the distribution of returns is well described by the statistics of the sum of…

Statistical Finance · Quantitative Finance 2025-04-30 Hernán Larralde , Roberto Mota Navarro

Cryptocurrencies are examined through the asset flow equations and experimental asset markets. Since tangible value of a typical cryptocurrency is non-existent, the theory suggests that price will gravitate toward liquidity value, i.e., the…

Mathematical Finance · Quantitative Finance 2018-02-28 Carey Caginalp , Gunduz Caginalp

Modern technology has brought novel types of wealth. In contrast to hard cashes, digital currencies do not have a physical form. They exist in electronic forms only. Yet, it has not been clear what impacts their ongoing growth will make, if…

General Economics · Economics 2023-10-02 Zae Young Kim , Jeong-Hyuck Park

In the theory of financial markets, a stylized fact is a qualitative summary of a pattern in financial market data that is observed across multiple assets, asset classes and time horizons. In this article, we test a set of eleven stylized…

Statistical Finance · Quantitative Finance 2025-04-14 Sara A. Safari , Maximilian Janisch , Thomas Lehéricy

In the cryptographic currency Bitcoin, all transactions are recorded in the blockchain - a public, global, and immutable ledger. Because transactions are public, Bitcoin and its users employ obfuscation to maintain a degree of financial…

Computers and Society · Computer Science 2017-06-30 Arvind Narayanan , Malte Möser

In recent years, cryptocurrencies have attracted growing attention from both private investors and institutions. Among them, Bitcoin stands out for its impressive volatility and widespread influence. This paper explores the predictability…

Statistical Finance · Quantitative Finance 2025-04-29 Grégory Bournassenko

Since its advent in 2009, Bitcoin, a cryptography-enabled peer-to-peer digital payment system, has been gaining increasing attention from both academia and industry. An effort designed to overcome a cluster of bottlenecks inherent in…

Cryptography and Security · Computer Science 2021-05-18 Ling Cheng , Feida Zhu , Huiwen Liu , Chunyan Miao

In relation to the traditional financial markets, the cryptocurrency market is a recent invention and the trading dynamics of all its components are readily recorded and stored. This fact opens up a unique opportunity to follow the…

Statistical Finance · Quantitative Finance 2023-05-11 Stanisław Drożdż , Jarosław Kwapień , Marcin Wątorek

We show Bitcoin implied volatility on a 5 minute time horizon is modestly predictable from price, volatility momentum and alternative data including sentiment and engagement. Lagged Bitcoin index price and volatility movements contribute to…

Statistical Finance · Quantitative Finance 2020-10-30 Faizaan Pervaiz , Christopher Goh , Ashley Pennington , Samuel Holt , James West , Shaun Ng

As the pioneer of blockchain technology, Bitcoin is the most popular cryptocurrency to date. Given its dramatic price spikes (and crashes) along with the never-ending news from SEC regulations to security breaches, there seems to be a lack…

Computers and Society · Computer Science 2020-06-04 Anthony Luo , Dianxiang Xu

This paper conducts an extensive analysis of Bitcoin return series, with a primary focus on three volatility metrics: historical volatility (calculated as the sample standard deviation), forecasted volatility (derived from GARCH-type…

Trading and Market Microstructure · Quantitative Finance 2024-01-05 Cristina Chinazzo , Vahidin Jeleskovic

Designed to compete with fiat currencies, bitcoin proposes it is a crypto-currency alternative. Bitcoin makes a number of false claims, including: solving the double-spending problem is a good thing; bitcoin can be a reserve currency for…

Computational Engineering, Finance, and Science · Computer Science 2018-07-06 Brian P. Hanley

The S&P 500 index is considered the most popular trading instrument in financial markets. With the rise of cryptocurrencies over the past years, Bitcoin has also grown in popularity and adoption. The paper aims to analyze the daily return…

Statistical Finance · Quantitative Finance 2024-06-11 A. H. Nzokem

Bitcoin has emerged as a fascinating phenomenon of the financial markets. Without any central authority issuing the currency, it has been associated with controversy ever since its popularity and public interest reached high levels. Here,…

Computational Finance · Quantitative Finance 2018-10-30 Ladislav Kristoufek

A non-fungible token (NFT) market is a new trading invention based on the blockchain technology which parallels the cryptocurrency market. In the present work we study capitalization, floor price, the number of transactions, the…

Computational Finance · Quantitative Finance 2024-01-17 Paweł Szydło , Marcin Wątorek , Jarosław Kwapień , Stanisław Drożdż

Digital currencies represent a new method for exchange and investment that differs strongly from any other fiat money seen throughout history. A digital currency makes it possible to perform all financial transactions without the…

Computers and Society · Computer Science 2015-03-11 Xianyi Gao , Gradeigh D. Clark , Janne Lindqvist

The digital currency Bitcoin has had remarkable growth since it was first proposed in 2008. Its distributed nature allows currency transactions without a central authority by using cryptographic methods and a data structure called the…

Quantum Physics · Physics 2020-09-28 Jonathan Jogenfors

Currently, there is no consensus on the real properties of Bitcoin. The discussion comprises its use as a speculative or safe haven assets, while other authors argue that the augmented attractiveness could end accomplishing money's…

Economics · Quantitative Finance 2017-06-06 Obryan Poyser

Bitcoin is the first implementation of what has become known as a 'public permissionless' blockchain. Guaranteeing security and protocol conformity through its elegant combination of cryptographic assurances and game theoretic economic…

Cryptography and Security · Computer Science 2018-02-23 D. McGinn , D McIlwraith , Y. Guo