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This paper studies the optimal liquidation of stocks in the presence of temporary and permanent price impacts, and we focus in the case of cryptocurrencies. We start by presenting analytical solutions to the problem with linear temporary…

Trading and Market Microstructure · Quantitative Finance 2023-03-20 Hugo E. Ramirez , Julián Fernando Sanchez

Based on 1-minute price changes recorded since year 2012, the fluctuation properties of the rapidly-emerging Bitcoin (BTC) market are assessed over chosen sub-periods, in terms of return distributions, volatility autocorrelation, Hurst…

Statistical Finance · Quantitative Finance 2018-07-20 Stanisław Drożdż , Robert Gębarowski , Ludovico Minati , Paweł Oświęcimka , Marcin Wątorek

In recent years cryptocurrency trading has captured the attention of practitioners and academics. The volume of the exchange with standard currencies has known a dramatic increasing of late. This paper addresses to the need of models…

Computational Finance · Quantitative Finance 2020-02-18 Pablo Olivares

Since the creation of Bitcoin, transaction tracking is one of the prominent means for following the movement of Bitcoins involved in illegal activities. Although every Bitcoin transaction is recorded in the blockchain database, which is…

Cryptography and Security · Computer Science 2019-12-06 Tin Tironsakkul , Manuel Maarek , Andrea Eross , Mike Just

Cryptocurrencies such as Bitcoin and Ethereum have recently gained a lot of popularity, not only as a digital form of currency but also as an investment vehicle. Online marketplaces and exchanges allow users across the world to convert…

Discrete Mathematics · Computer Science 2018-07-17 Francesco Bortolussi , Zeger Hoogeboom , Frank W. Takes

Cryptocurrency refers to a type of digital asset that uses distributed ledger, or blockchain, technology to enable a secure transaction. Although the technology is widely misunderstood, many central banks are considering launching their own…

Computational Finance · Quantitative Finance 2020-07-30 Wolfgang Karl Härdle , Campbell R. Harvey , Raphael C. G. Reule

Motivated by the great success and adoption of Bitcoin, a number of cryptocurrencies such as Litecoin, Dogecoin, and Ethereum are becoming increasingly popular. Although existing blockchain-based cryptocurrency schemes can ensure reasonable…

Cryptography and Security · Computer Science 2016-12-02 Jian Liu , Wenting Li , Ghassan O. Karame , N. Asokan

We discuss numerous justifications for why crypto-currencies would be highly conducive for the smooth functioning of today's society. We provide several comparisons between cryptocurrencies issued by blockchain projects, crypto, and…

General Economics · Economics 2023-07-18 Ravi Kashyap

We survey recent results on the mathematical stability of Bitcoin protocol. Profitability and probability of a double spend are estimated in closed form with classical special functions. The stability of Bitcoin mining rules is analyzed and…

History and Overview · Mathematics 2020-03-03 Cyril Grunspan , Ricardo Pérez-Marco

A digital currency is money in a digital form. In this model, maintaining integrity of the supply is a core concern, therefore protections against double-spending are often at the heart of a secure digital money scheme. Quantum money…

Quantum Physics · Physics 2024-08-09 Anne Broadbent , Raza Ali Kazmi , Cyrus Minwalla

A term structure model in which the short rate is zero is developed as a candidate for a theory of cryptocurrency interest rates. The price processes of crypto discount bonds are worked out, along with expressions for the instantaneous…

Mathematical Finance · Quantitative Finance 2019-12-18 Dorje C. Brody , Lane P. Hughston , Bernhard K. Meister

BitCoin transactions are malleable in a sense that given a transaction an adversary can easily construct an equivalent transaction which has a different hash. This can pose a serious problem in some BitCoin distributed contracts in which…

Cryptography and Security · Computer Science 2013-12-12 Marcin Andrychowicz , Stefan Dziembowski , Daniel Malinowski , Łukasz Mazurek

Bitcoin transactions include unspent transaction outputs (UTXOs) as their inputs and generate one or more newly owned UTXOs at specified addresses. Each UTXO can only be used as an input in a transaction once, and using it in two or more…

Cryptography and Security · Computer Science 2023-08-22 Changhoon Kang , Jongsoo Woo , James Won-Ki Hong

We assess the applicability of rough volatility models to Bitcoin realized volatility using the normalised p-variation framework of Cont and Das (2024). Applying this model-free estimator to high-frequency Bitcoin data from 2017 to 2024…

Statistical Finance · Quantitative Finance 2025-09-30 Milan Pontiggia

Bitcoin is a decentralised digital currency that relies on cryptography rather than trusted third parties such as central banks for its security. Underpinning the operation of the currency is a peer-to-peer (P2P) network that facilitates…

Cryptography and Security · Computer Science 2018-05-29 James Tapsell , Raja Naeem Akram , Konstantinos Markantonakis

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

Bitcoins have recently become an increasingly popular cryptocurrency through which users trade electronically and more anonymously than via traditional electronic transfers. Bitcoin's design keeps all transactions in a public ledger. The…

Cryptography and Security · Computer Science 2015-02-06 Michael Fleder , Michael S. Kester , Sudeep Pillai

Stablecoins are one of the most widely capitalized type of cryptocurrency. However, their risks vary significantly according to their design and are often poorly understood. We seek to provide a sound foundation for stablecoin theory, with…

General Economics · Economics 2020-10-30 Ariah Klages-Mundt , Dominik Harz , Lewis Gudgeon , Jun-You Liu , Andreea Minca

Non-Fungible Tokens (NFTs) are a new development in blockchain technology. News around NFTs is surrounded by skepticism because unrealistically high prices are being paid online for these NFTs which are in the form of apparently simple…

Networking and Internet Architecture · Computer Science 2022-08-10 Najam A. Anjum , Mubashir Husain Rehmani

Two of the most important technological advancements currently underway are the advent of quantum technologies, and the transitioning of global financial systems towards cryptographic assets, notably blockchain-based cryptocurrencies and…

Pricing of Securities · Quantitative Finance 2021-02-02 Peter P. Rohde , Vijay Mohan , Sinclair Davidson , Chris Berg , Darcy Allen , Gavin K. Brennen , Jason Potts