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In financial markets, low prices are generally associated with high volatilities and vice-versa, this well known stylized fact usually being referred to as leverage effect. We propose a local volatility model, given by a stochastic…

Computational Finance · Quantitative Finance 2019-02-25 Antoine Lejay , Paolo Pigato

Correlation networks were used to detect characteristics which, although fixed over time, have an important influence on the evolution of prices over time. Potentially important features were identified using the websites and whitepapers of…

Computational Finance · Quantitative Finance 2018-06-19 Andrew Burnie

Conventional financial models fail to explain the economic and monetary properties of cryptocurrencies due to the latter's dual nature: their usage as financial assets on the one side and their tight connection to the underlying blockchain…

Econometrics · Economics 2021-07-20 Constandina Koki , Stefanos Leonardos , Georgios Piliouras

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

Multivariate probability density functions of returns are constructed in order to model the empirical behavior of returns in a financial time series. They describe the well-established deviations from the Gaussian random walk, such as an…

Other Condensed Matter · Physics 2009-11-10 M. I. Krivoruchenko , E. Alessio , V. Frappietro , L. J. Streckert

In this paper we give an elementary analysis of economics of Bitcoin that combines the transaction demand by the consumers and the supply of hashrate by miners. We argue that the decreasing block reward will have no significant effect on…

General Economics · Economics 2022-11-15 Misha Perepelitsa

When network products and services become more valuable as their userbase grows (network effects), this tendency can become a major determinant of how they compete with each other in the market and how the market is structured. Network…

Networking and Internet Architecture · Computer Science 2021-01-18 Konstantinos Stylianou , Leonhard Spiegelberg , Maurice Herlihy , Nic Carter

The recent emergence of cryptocurrencies such as Bitcoin and Ethereum has posed possible alternatives to global payments as well as financial assets around the globe, making investors and financial regulators aware of the importance of…

Statistical Finance · Quantitative Finance 2021-07-02 Shinji Kakinaka , Ken Umeno

Stylized facts can be regarded as constraints for any modeling attempt of price dynamics on a financial market, in that an empirically reasonable model has to reproduce these stylized facts at least qualitatively. The dynamics of market…

Computational Finance · Quantitative Finance 2010-04-12 Stefan Reimann , Andreas Tupak

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

We investigate the spatial and temporal structures of four financial markets in Greater China. In particular, we uncover different characteristics of the four markets by analyzing the sector and subsector structures which are detected…

Statistical Finance · Quantitative Finance 2014-04-24 F. Y. Ouyang , B. Zheng , X. F. Jiang

This paper shows that Bitcoin is not correlated to a general uncertainty index as measured by the Google Trends data of Castelnuovo and Tran (2017). Instead, Bitcoin is linked to a Google Trends attention measure specific for the…

Statistical Finance · Quantitative Finance 2021-06-15 Nektarios Aslanidis , Aurelio F. Bariviera , Óscar G. López

This paper investigates the effects of the launch of Bitcoin futures on the intraday volatility of Bitcoin. Based on one-minute price data collected from four cryptocurrency exchanges, we first examine the change in realized volatility…

Trading and Market Microstructure · Quantitative Finance 2019-06-11 Wonse Kim , Junseok Lee , Kyungwon Kang

We present some stylized facts exhibited by the time series of returns of the Mexican Stock Exchange Index (IPC) and compare them to a sample of both developed (USA, UK and Japan) and emerging markets (Brazil and India). The period of study…

Statistical Finance · Quantitative Finance 2014-12-11 Omar Rojas , Carlos Trejo-Pech

This study explores Bitcoin's value formation through the Granular Interaction Thinking Theory-Value Theory (GITT-VT). Rather than stemming from material utility or cash flows, Bitcoin's value arises from informational attributes and…

Computers and Society · Computer Science 2025-11-25 Quan-Hoang Vuong , Viet-Phuong La , Minh-Hoang Nguyen

When analyzing Bitcoin users' balance distribution, we observed that it follows a log-normal pattern. Drawing parallels from the successful application of Gibrat's law of proportional growth in explaining city size and word frequency…

General Economics · Economics 2024-09-17 Yu Zhang , Claudio Tessone

We consider the hedging problem where a futures position can be automatically liquidated by the exchange without notice. We derive a semi-closed form for an optimal hedging strategy with dual objectives - to minimise both the variance of…

Risk Management · Quantitative Finance 2021-08-11 Carol Alexander , Jun Deng , Bin Zou

Using the generalized extreme value theory to characterize tail distributions, we address liquidation, leverage, and optimal margins for bitcoin long and short futures positions. The empirical analysis of perpetual bitcoin futures on BitMEX…

Trading and Market Microstructure · Quantitative Finance 2021-02-10 Zhiyong Cheng , Jun Deng , Tianyi Wang , Mei Yu

Unlike price fluctuations, the temporal structure of cryptocurrency trading has seldom been a subject of systematic study. In order to fill this gap, we analyse detrended correlations of the price returns, the average number of trades in…

Statistical Finance · Quantitative Finance 2022-08-03 Marcin Wątorek , Jarosław Kwapień , Stanisław Drożdż

The leverage effect refers to the generally negative correlation between the return of an asset and the changes in its volatility. There is broad agreement in the literature that the effect should be present for theoretical reasons, and it…

Mathematical Finance · Quantitative Finance 2019-09-25 Dangxing Chen
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