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Volatility estimation for Bitcoin: A comparison of GARCH models

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In this article, the authors explore the optimal conditional heteroskedasticity model with regards to goodness-of-fit to Bitcoin price data and find that the best model is the AR-CGARCH model, highlighting the significance of including both a short run and a long run component of the conditional variance.
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This article is published in Economics Letters.The article was published on 2017-09-01 and is currently open access. It has received 730 citations till now. The article focuses on the topics: Conditional variance & Autoregressive conditional heteroskedasticity.

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References
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Journal ArticleDOI

Bitcoin, gold and the dollar – A GARCH volatility analysis

TL;DR: In this article, the authors explored the financial asset capabilities of bitcoin using GARCH models and found that bitcoin can be classified as something in between gold and the American dollar on a scale from pure medium of exchange advantages to pure store of value advantages.
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Speculative bubbles in Bitcoin markets? An empirical investigation into the fundamental value of Bitcoin

TL;DR: In this article, economic and econometric modelling of Bitcoin prices is presented. And they show that Bitcoin exhibits speculative bubbles and find empirical evidence that the fundamental price of Bitcoin is zero.
Journal ArticleDOI

The inefficiency of Bitcoin

TL;DR: In this article, the authors study the market efficiency of Bitcoin and find that returns are significantly inefficient over the full sample, but when split into two subsample periods, some tests indicate that Bitcoin is efficient in the latter period.
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Hedging capabilities of bitcoin. Is it the virtual gold

TL;DR: In this article, the authors explore the hedging capabilities of Bitcoin by applying the asymmetric GARCH methodology used in investigation of gold and show that bitcoin can clearly be used as a hedge against stocks in the Financial Times Stock Exchange Index.
Journal ArticleDOI

Bitcoins as an investment or speculative vehicle? A first look

TL;DR: In this paper, the authors use Bitcoin and S&P 500 Index daily return data to examine relative volatility using detrended ratios and then model Bitcoin market returns with selected economic variables to study the drivers of Bitcoin market return.
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Q1. What are the contributions in "Volatility estimation for bitcoin: a comparison of garch models" ?

In this article, the authors explore the optimal conditional heteroskedasticity model with regards to goodness-of-fit to the data. 

Bitcoin is different from any other asset on the financial market and thereby creates new possibilities for stakeholders with regards to risk management, portfolio analysis and consumer sentiment analysis ( Dyhrberg 2016b ). Hence, it can be a useful tool for portfolio and risk management, and their results can help investors make more informed decisions. 

In this research their interest lies particularly in low-order models, since low orders of GARCH-type models can catch most of the nonlinearity of the conditional variance, and hence only the first order models are presented for simplicity. 

The models used in this research consist of an Autoregressive model for the conditional mean and a first-order GARCH-type model for the conditional variance2, as follows2 

2014; Baek and Elbeck 2015; Dyhrberg 2016a), the Bitcoin market is currently highly speculative, and more volatile and susceptible to speculative bubbles than other currencies (Grinberg 2011; Cheah and Fry 2015). 

The optimal model is chosen according to three information criteria, namely Akaike (AIC), Bayesian (BIC) and Hannan-Quinn (HQ), all of which consider both how good the fitting of the model is and the number of parameters in the model, rewarding a better fitting and penalising an increased number of parameters for given data sets. 

The authors found evidence that the optimal model in terms of goodness-of-fit to the data is the AR-CGARCH, a result which suggests the importance of having both a short-run and a long-run component of conditional variance. 

Paraskevi Katsiampa E-mail address: p.katsiampa@shu.ac.ukMoreover, the presence of long memory and persistent volatility (Bariviera et al. 2017) justifies the application of GARCH-type models. 

In addition, according to the results of both the Augmented Dickey-Fuller (ADF) and Phillips-Perron (PP) unit-root tests the authors fail to accept the null hypothesis of a unit root for the returns, and, hence, stationarity is guaranteed. 

This can be attributed to its innovative features, simplicity, transparency and its increasing popularity (Urquhart 2016), while since its introduction it has posed great challenges and opportunities for policy makers, economists, entrepreneurs, and consumers (Dyhrberg 2016b). 

even though theresiduals of the AR(1)-CGARCH(1,1) model still depart from normality, the value of the Jarque-Bera test has considerably decreased compared with the corresponding value for the returns. 

The data used are the daily closing prices for the Bitcoin Coindesk Index from 18th July 2010 (as the earliest date available) to 1st October 2016, which corresponds to a total of 2267 observations.