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The literature on volatility modelling and option pricing is a large and diverse area due to its importance and applications. This paper provides a review of the most significant volatility models and option pricing methods, beginning with…

Pricing of Securities · Quantitative Finance 2009-04-09 Sovan Mitra

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

Binary options trading is often marketed as a field where predictive models can generate consistent profits. However, the inherent randomness and stochastic nature of binary options make price movements highly unpredictable, posing…

Predictions of short-term directional movement of the futures contract can be challenging as its pricing is often based on multiple complex dynamic conditions. This work presents a method for predicting the short-term directional movement…

Statistical Finance · Quantitative Finance 2022-03-24 Yiyang Zheng

In this paper, we analyze the time-series of minute price returns on the Bitcoin market through the statistical models of generalized autoregressive conditional heteroskedasticity (GARCH) family. Several mathematical models have been…

Statistical Finance · Quantitative Finance 2021-02-01 Irena Barjašić , Nino Antulov-Fantulin

We present a detailed bubble analysis of the Bitcoin to US Dollar price dynamics from January 2012 to February 2018. We introduce a robust automatic peak detection method that classifies price time series into periods of uninterrupted…

Econometrics · Economics 2019-05-31 Jan-Christian Gerlach , Guilherme Demos , Didier Sornette

Cryptocurrency markets are experiencing rapid growth, but this expansion comes with significant challenges, particularly in predicting cryptocurrency prices for traders in the U.S. In this study, we explore how deep learning and machine…

Machine Learning · Computer Science 2025-08-05 Md Zahidul Islam , Md Shafiqur Rahman , Md Sumsuzoha , Babul Sarker , Md Rafiqul Islam , Mahfuz Alam , Sanjib Kumar Shil

The world economy is experiencing the novel adoption of distributed currencies that are free from the control of central banks. Distributed currencies suffer from extreme volatility, and this can lead to catastrophic implications during…

Cryptography and Security · Computer Science 2022-06-22 Jacques Bou Abdo , Shuvalaxmi Dass , Basheer Qolomany , Liaquat Hossain

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

Bitcoin and other similar digital currencies on blockchains are not ideal means for payment, because their prices tend to go up in the long term (thus people are incentivized to hoard those currencies), and to fluctuate widely in the short…

Computers and Society · Computer Science 2019-05-17 Kenji Saito , Mitsuru Iwamura

We study financial transaction confirmation finality in Bitcoin as a function of transaction amount and user risk tolerance. A transaction is recorded in a block on a blockchain. However, a transaction may be revoked due to a fork in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-20 Ethan Hicks , Joseph Oglio , Mikhail Nesterenko , Gokarna Sharma

What happens to mining when the Bitcoin price changes, when there are mining supply shocks, the price of energy changes, or hardware technology evolves? We give precise answers based on the technical forces and incentives in the system. We…

General Economics · Economics 2022-01-21 Nemo Semret

We present a thorough empirical analysis of market impact on the Bitcoin/USD exchange market using a complete dataset that allows us to reconstruct more than one million metaorders. We empirically confirm the "square-root law'' for market…

Trading and Market Microstructure · Quantitative Finance 2015-09-22 Jonathan Donier , Julius Bonart

This paper studies how to forecast daily closing price series of Bitcoin, using data on prices and volumes of prior days. Bitcoin price behaviour is still largely unexplored, presenting new opportunities. We compared our results with two…

Statistical Finance · Quantitative Finance 2020-01-07 Nicola Uras , Lodovica Marchesi , Michele Marchesi , Roberto Tonelli

In light of micro-scale inefficiencies induced by the high degree of fragmentation of the Bitcoin trading landscape, we utilize a granular data set comprised of orderbook and trades data from the most liquid Bitcoin markets, in order to…

Trading and Market Microstructure · Quantitative Finance 2021-08-24 Jakob Albers , Mihai Cucuringu , Sam Howison , Alexander Y. Shestopaloff

This work is about optimal order execution, where a large order is split into several small orders to maximize the implementation shortfall. Based on the diversity of cryptocurrency exchanges, we attempt to extract cross-exchange signals by…

Trading and Market Microstructure · Quantitative Finance 2023-07-03 Cong Zheng , Jiafa He , Can Yang

What is the role of social interactions in the creation of price bubbles? Answering this question requires obtaining collective behavioural traces generated by the activity of a large number of actors. Digital currencies offer a unique…

Physics and Society · Physics 2014-08-11 David Garcia , Claudio Juan Tessone , Pavlin Mavrodiev , Nicolas Perony

The objective of this paper is to assess the performances of dimensionality reduction techniques to establish a link between cryptocurrencies. We have focused our analysis on the two most traded cryptocurrencies: Bitcoin and Ethereum. To…

Statistical Finance · Quantitative Finance 2022-02-11 Hugo Inzirillo , Benjamin Mat

We propose a doubly subordinated Levy process, NDIG, to model the time series properties of the cryptocurrency bitcoin. NDIG captures the skew and fat-tailed properties of bitcoin prices and gives rise to an arbitrage free, option pricing…

Statistical Finance · Quantitative Finance 2023-08-31 Abootaleb Shirvani , Stefan Mittnik , W. Brent Lindquist , Svetlozar T. Rachev

This paper shows that temporal CNNs accurately predict bitcoin spot price movements from limit order book data. On a 2 second prediction time horizon we achieve 71\% walk-forward accuracy on the popular cryptocurrency exchange coinbase. Our…

Statistical Finance · Quantitative Finance 2020-10-06 Rakshit Jha , Mattijs De Paepe , Samuel Holt , James West , Shaun Ng