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A key challenge for Bitcoin cryptocurrency holders, such as startups using ICOs to raise funding, is managing their FX risk. Specifically, a misinformed decision to convert Bitcoin to fiat currency could, by itself, cost USD millions. In…

Risk Management · Quantitative Finance 2018-05-15 Cuneyt Akcora , Matthew Dixon , Yulia Gel , Murat Kantarcioglu

Cryptocurrencies have recently been in the spotlight of public debate due to their embrace by the new US President, with crypto fans expecting a 'bull run'. The global cryptocurrency market capitalisation is more than \$3.50 trillion, with…

Computational Engineering, Finance, and Science · Computer Science 2025-11-12 Marco Venturini , Daniel García-Costa , Elena Álvarez-García , Francisco Grimaldo , Flaminio Squazzoni

We study the fundamental differences that separate: Litecoin; Bitcoin Gold; Bitcoin Cash; Ethereum; and Zcash from Bitcoin, and draw analysis to how these features are appreciated by the market, to ultimately make an inference as to how…

General Finance · Quantitative Finance 2021-01-12 Andrew Spurr , Marcel Ausloos

We analyse high-frequency realised volatility dynamics and spillovers in the bitcoin market, focusing on two pairs: bitcoin against the US dollar (the main fiat-crypto pair) and trading bitcoin against tether (the main crypto-crypto pair).…

Trading and Market Microstructure · Quantitative Finance 2021-08-09 Carol Alexander , Daniel Heck , Andreas Kaeck

This letter revisits the informational efficiency of the Bitcoin market. In particular we analyze the time-varying behavior of long memory of returns on Bitcoin and volatility 2011 until 2017, using the Hurst exponent. Our results are…

Statistical Finance · Quantitative Finance 2017-09-26 Aurelio F. Bariviera

Bitcoin is a "crypto currency", a decentralized electronic payment scheme based on cryptography which has recently gained excessive popularity. Scientific research on bitcoin is less abundant. A paper at Financial Cryptography 2012…

Cryptography and Security · Computer Science 2014-04-11 Nicolas T. Courtois , Marek Grajek , Rahul Naik

One of the principal statistical features characterizing the activity in financial markets is the distribution of fluctuations in market indicators such as the index. While the developed stock markets, e.g., the New York Stock Exchange…

Physics and Society · Physics 2008-12-02 Raj Kumar Pan , Sitabhra Sinha

We present positive evidence of price stability of cryptocurrencies as a medium of exchange. For the sample years from 2016 to 2020, the prices of major cryptocurrencies are found to be stable, relative to major financial assets.…

General Economics · Economics 2021-12-14 Tatsuru Kikuchi , Toranosuke Onishi , Kenichi Ueda

It is well known that the probability distribution of high-frequency financial returns is characterized by a leptokurtic, heavy-tailed shape. This behavior undermines the typical assumption of Gaussian log-returns behind the standard…

Statistical Finance · Quantitative Finance 2023-06-14 Federica De Domenico , Giacomo Livan , Guido Montagna , Oreste Nicrosini

We show that recent stock market fluctuations are characterized by the cumulative distributions whose tails on short, minute time scales exhibit power scaling with the scaling index alpha > 3 and this index tends to increase quickly with…

Statistical Finance · Quantitative Finance 2009-11-13 S. Drozdz , M. Forczek , J. Kwapien , P. Oswiecimka , R. Rak

Over the past decade, the blockchain technology and its Bitcoin cryptocurrency have received considerable attention. Bitcoin has experienced significant price swings in daily and long-term valuations. In this paper, we propose a partial…

Pricing of Securities · Quantitative Finance 2020-08-26 Yufang Wang , Haiyan Wang

Bitcoin is a cryptocurrency that features a distributed, decentralized and trustworthy mechanism, which has made Bitcoin a popular global transaction platform. The transaction efficiency among nations and the privacy benefiting from address…

Cryptography and Security · Computer Science 2019-03-20 Yu-Jing Lin , Po-Wei Wu , Cheng-Han Hsu , I-Ping Tu , Shih-wei Liao

We test various volatility models using the Bitcoin spot price series. Our models include HIST, EMA ARCH, GARCH, and EGARCH, models. Both of our in-sample-fit and out-of-sample-forecast results suggest that GARCH and EGARCH models perform…

Statistical Finance · Quantitative Finance 2020-10-16 Yeguang Chi , Wenyan Hao

Cryptocoins (i.e., Bitcoin, Ether, Litecoin) are tradable digital assets. Ownerships of cryptocoins are registered on distributed ledgers (i.e., blockchains). Secure encryption techniques guarantee the security of the transactions…

Computational Engineering, Finance, and Science · Computer Science 2024-09-06 Pasquale De Rosa , Pascal Felber , Valerio Schiavoni

We argue that negative skew and positive mean of the distribution of stock returns are largely due to the broken symmetry of stochastic volatility governing gains and losses. Starting with stochastic differential equations for stock returns…

Statistical Finance · Quantitative Finance 2026-03-10 Siqi Shao , Arshia Ghasemi , Hamed Farahani , R. A. Serota

Cryptocurrencies and Bitcoin, in particular, are prone to wild swings resulting in frequent jumps in prices, making them historically popular for traders to speculate. A better understanding of these fluctuations can greatly benefit crypto…

Mathematical Finance · Quantitative Finance 2023-10-17 Edson Pindza , Jules Clement Mba , Sutene Mwambi , Nneka Umeorah

This paper is the first of a series of short articles that explore the efficiency of major cryptocurrency markets. A number of statistical tests and properties of statistical distributions will be used to assess if cryptocurrency markets…

Statistical Finance · Quantitative Finance 2020-04-01 Eugene Tartakovsky , Ksenia Plesovskikh , Anastasiia Sarmakeeva , Alexander Bibik

This paper aims to analyze the effect of Bitcoin on portfolio optimization using mean-variance, conditional value-at-risk (CVaR), and Markov regime switching approaches. I assessed each approach and developed the next based on the prior…

General Economics · Economics 2022-05-03 Mohammadreza Mahmoudi

We investigate the behaviour of cryptocurrencies using data for bitcoin, ethereum and ripple which account for over 70% of the cryptocurrency market. We demonstrate that $\alpha$-stable distribution is an appropriately sufficient model for…

Mathematical Finance · Quantitative Finance 2023-07-31 Taurai Muvunza

In this paper, we apply tools from the random matrix theory (RMT) to estimates of correlations across volatility of various assets in the S&P 500. The volatility inputs are estimated by modeling price fluctuations as GARCH(1,1) process. The…

Statistical Finance · Quantitative Finance 2013-10-08 Ajay Singh , Dinghai Xu
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