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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

Bitcoin is firmly becoming a mainstream asset in our global society. Its highly volatile nature has traders and speculators flooding into the market to take advantage of its significant price swings in the hope of making money. This work…

Machine Learning · Computer Science 2021-10-29 Nathan Crone , Eoin Brophy , Tomas Ward

In this paper we employ deep learning techniques to detect financial asset bubbles by using observed call option prices. The proposed algorithm is widely applicable and model-independent. We test the accuracy of our methodology in numerical…

Mathematical Finance · Quantitative Finance 2024-06-21 Francesca Biagini , Lukas Gonon , Andrea Mazzon , Thilo Meyer-Brandis

Considering a simple economy, we derive a new Hamilton-Jacobi equation which is satisfied by the value of a ''bubble'' asset. We then show, by providing a rigorous mathematical analysis of this equation, that a unique non-zero stable…

Analysis of PDEs · Mathematics 2025-05-22 Charles Bertucci , Jean-Michel Lasry , Pierre Louis Lions

Thanks to the high potential for profit, trading has become increasingly attractive to investors as the cryptocurrency and stock markets rapidly expand. However, because financial markets are intricate and dynamic, accurately predicting…

We define and study a rather complex market model, inspired from the Santa Fe artificial market and the Minority Game. Agents have different strategies among which they can choose, according to their relative profitability, with the…

Condensed Matter · Physics 2009-11-07 Irene Giardina , Jean-Philippe Bouchaud

Establishing unambiguously the existence of speculative bubbles is an on-going controversy complicated by the need of defining a model of fundamental prices. Here, we present a novel empirical method which bypasses all the difficulties of…

Statistical Mechanics · Physics 2015-06-24 B. M. Roehner , D. Sornette

The aim of this paper is to propose a heterogeneous agent model of stock markets that develop complicated endogenous price fluctuations. We find occurrences of non-stationary chaos, or speculative bubble, are caused by the heterogeneity of…

Chaotic Dynamics · Physics 2013-09-11 Taisei Kaizoji

This paper presents an agent-based artificial cryptocurrency market in which heterogeneous agents buy or sell cryptocurrencies, in particular Bitcoins. In this market, there are two typologies of agents, Random Traders and Chartists, which…

Trading and Market Microstructure · Quantitative Finance 2014-06-26 Luisanna Cocco , Giulio Concas , Michele Marchesi

Cryptocurrencies are distributed systems that allow exchanges of native tokens among participants, or the exchange of such tokens for fiat currencies in markets external to these public ledgers. The availability of their complete historical…

Can unstructured text data from social media help explain the drivers of large asset price fluctuations? This paper investigates how social forces affect asset prices, by using machine learning tools to extract beliefs and positions of…

General Economics · Economics 2023-08-09 Valentina Semenova , Julian Winkler

We construct a statistical indicator for the detection of short-term asset price bubbles based on the information content of bid and ask market quotes for plain vanilla put and call options. Our construction makes use of the martingale…

Pricing of Securities · Quantitative Finance 2018-07-17 Petteri Piiroinen , Lassi Roininen , Tobias Schoden , Martin Simon

We study asset price bubbles in market models with proportional transaction costs $\lambda\in (0,1)$ and finite time horizon $T$ in the setting of [49]. By following [28], we define the fundamental value $F$ of a risky asset $S$ as the…

Mathematical Finance · Quantitative Finance 2020-12-09 Francesca Biagini , Thomas Reitsam

Recently research on bubble and its burst attract much interest of researchers in various field such as economics and physics. Economists have been regarding bubble as a disorder in prices. However, this research strategy has overlooked an…

Physics and Society · Physics 2015-05-19 Katsuhiro Nishinari , Mitsuru Iwamura , Yukiko Umeno Saito , Tsutomu Watanabe

How do supply and demand from informed traders drive market prices of bitcoin options? Deribit options tick-level data supports the limits-to-arbitrage hypothesis about the market maker's supply. The main demand-side effects are that…

General Finance · Quantitative Finance 2022-03-28 Carol Alexander , Jun Deng , Jianfen Feng , Huning Wan

This paper proposes a simple and parsimonious discrete-time simulation model to describe the endogenous formation and periodic collapse of financial bubbles. While existing literature has extensively explored the statistical properties of…

Trading and Market Microstructure · Quantitative Finance 2026-05-05 Naohiro Yoshida

This paper highlights the role of risk neutral investors in generating endogenous bubbles in derivatives markets. We find that a market for derivatives, which has all the features of a perfect market except completeness and has some risk…

Trading and Market Microstructure · Quantitative Finance 2011-09-06 Alessandro Fiori Maccioni

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

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 this study, we investigate asset price bubbles in a discrete-time, discrete-state market under model uncertainty and short sales prohibitions. Building on a new fundamental theorem of asset pricing and a superhedging duality in this…

Mathematical Finance · Quantitative Finance 2025-12-25 Wenqing Zhang