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In recent years a new type of tradable assets appeared, generically known as cryptocurrencies. Among them, the most widespread is Bitcoin. Given its novelty, this paper investigates some statistical properties of the Bitcoin market. This…

Statistical Finance · Quantitative Finance 2017-08-16 Aurelio F. Bariviera , María José Basgall , Waldo Hasperué , Marcelo Naiouf

The aim of this paper is to analyse the Bitcoin in order to shed some light on its nature and behaviour. We select 9 cryptocurrencies that account for almost 75\% of total market capitalisation and compare their evolution with that of a…

Statistical Finance · Quantitative Finance 2023-09-08 Esther Cabezas-Rivas , Felipe Sánchez-Coll , Isaac Tormo-Xaixo

The cryptocurrency market is a very huge market without effective supervision. It is of great importance for investors and regulators to recognize whether there are market manipulation and its manipulation patterns. This paper proposes an…

General Finance · Quantitative Finance 2019-02-07 Weili Chen , Jun Wu , Zibin Zheng , Chuan Chen , Yuren Zhou

Recent empirical studies suggest that the volatility of an underlying price process may have correlations that decay slowly under certain market conditions. In this paper, the volatility is modeled as a stationary process with long-range…

Pricing of Securities · Quantitative Finance 2018-04-17 Josselin Garnier , Knut Solna

In this paper, we study the ability to make the short-term prediction of the exchange price fluctuations towards the United States dollar for the Bitcoin market. We use the data of realized volatility collected from one of the largest…

Machine Learning · Statistics 2019-02-08 Tian Guo , Albert Bifet , Nino Antulov-Fantulin

In common finance literature, Black-Scholes partial differential equation of option pricing is usually derived with no-arbitrage principle. Considering an asset market, Merton applied the Hamilton-Jacobi-Bellman techniques of his…

Statistical Mechanics · Physics 2008-12-02 D. F. Wang

This paper develops a model to evaluate the viability of blockchain markets as the sole venue for price formation. Blockchains clear at discrete intervals called block time, and transactions are executed sequentially according to priority…

General Finance · Quantitative Finance 2026-05-19 Agostino Capponi , Álvaro Cartea , Fayçal Drissi

Following the foundational work of the Black--Scholes model, extensive research has been developed to price the option by addressing its underlying assumptions and associated pricing biases. This study introduces a novel framework for…

Mathematical Finance · Quantitative Finance 2025-08-21 Tapan Kar , Suprio Bhar , Barun Sarkar , Sesha Meka

We develop a dynamic model of the Bitcoin market where users set fees themselves and miners decide whether to operate and whom to validate based on those fees. Our analysis reveals how, in equilibrium, users adjust their bids in response to…

Theoretical Economics · Economics 2025-02-24 Yuichiro Kamada , Shunya Noda

Bitcoin is considered the most valuable currency in the world. Besides being highly valuable, its value has also experienced a steep increase, from around 1 dollar in 2010 to around 18000 in 2017. Then, in recent years, it has attracted…

Social and Information Networks · Computer Science 2019-04-11 Amin Azari

This paper introduces a structural game-theoretic model to value decentralized digital assets like Bitcoin. Instead of relying on speculative beliefs, it frames the asset's price within a Rational-Expectations Security-Utility Nash…

Cryptography and Security · Computer Science 2025-08-12 Liang Chen

This work aims to analyse the predictability of price movements of cryptocurrencies on both hourly and daily data observed from January 2017 to January 2021, using deep learning algorithms. For our experiments, we used three sets of…

Statistical Finance · Quantitative Finance 2021-02-18 Marco Ortu , Nicola Uras , Claudio Conversano , Giuseppe Destefanis , Silvia Bartolucci

We investigate the relation between the fair price for European-style vanilla options and the distribution of short-term returns on the underlying asset ignoring transaction and other costs. We compute the risk-neutral probability density…

Physics and Society · Physics 2008-12-02 Martin Schaden

A reputation of high volatility accompanies the emergence of Bitcoin as a financial asset. This paper intends to nuance this reputation and clarify our understanding of Bitcoin's volatility. Using daily, weekly, and monthly closing prices…

Statistical Finance · Quantitative Finance 2021-03-02 Nassim Dehouche

Bitcoin has attracted attention from different market participants due to unpredictable price patterns. Sometimes, the price has exhibited big jumps. Bitcoin prices have also had extreme, unexpected crashes. We test the predictive power of…

Statistical Finance · Quantitative Finance 2021-12-15 Andrés García-Medina , Toan Luu Duc Huynh3

Bitcoin transaction fees will become more important as the block subsidy declines, but fee formation is hard to study with blockchain data alone because the relevant queueing environment is unobserved. We develop and estimate a structural…

Computational Engineering, Finance, and Science · Computer Science 2026-04-21 Daniel Aronoff , Kristian Praizner , Armin Sabouri

This study back-tests a marginal cost of production model proposed to value the digital currency bitcoin. Results from both conventional regression and vector autoregression (VAR) models show that the marginal cost of production plays an…

Econometrics · Economics 2018-05-22 Adam Hayes

This paper studies what Bitcoin (BTC) premiums in peer-to-peer (P2P) markets measure. Using transaction-level data from LocalBitcoins, we construct BTC premiums for 80 currencies relative to the U.S. dollar and relate them to blockchain…

General Economics · Economics 2026-05-25 Yanan Niu

We study to what extent the Bitcoin blockchain security permanently depends on the underlying distribution of cryptocurrency market outcomes. We use daily blockchain and Bitcoin data for 2014-2019 and employ the ARDL approach. We test three…

General Economics · Economics 2021-02-18 Pavel Ciaian , d'Artis Kancs , Miroslava Rajcaniova

Financial time series have historically been assumed to be a martingale process under the Random Walk hypothesis. Instead of making investment decisions using the raw prices alone, various multimodal pattern matching algorithms have been…

Statistical Finance · Quantitative Finance 2023-08-21 Minsuk Kim , Byungchul Kim , Junyeong Yong , Jeongwoo Park , Gyeongmin Kim
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