Bitcoin Returns and the Frequency of Daily Abnormal Returns
Keywords:Bitcoin; abnormal returns; frequency
This paper investigates the relationship between Bitcoin returns and the frequency of daily abnormal returns over the period from June 2013 to February 2020 using a number of regression techniques and model specifications including standard OLS, weighted least squares (WLS), ARMA and ARMAX models, quantile regressions, Logit and Probit regressions, piecewise linear regressions, and non-linear regressions. Both the in sample and out-of-sample performance of the various models are compared by means of appropriate selection criteria and statistical tests. These suggest that, on the whole, the piecewise linear models are the best, but in terms of forecasting accuracy they are outperformed by a model that combines the top five to produce “consensus” forecasts. The finding that there exist price patterns that can be exploited to predict future price movements and design profitable trading strategies is of interest both to academics (since it represents evidence against the EMH) and to practitioners (who can use this information for their investment decisions).
Akaike, H. “A New Look at the Statistical Model Identification.” IEEE Transactions on Automatic Control 19.6 716–723 (1974) https://doi.org/10.1109/TAC.1974.1100705.
Al-Yahyaee, K., Rehman, M., Mensi, W., Al-Jarrah, I. “Can Uncertainty Indices Predict Bitcoin Prices? A Revisited Analysis Using Partial and Multivariate Wavelet Approaches.” The North American Journal of Economics and Finance 49 47-56 (2019) https://doi.org/10.1016/j.najef.2019.03.019.
Angelovska, J. “Large Share Price Movements, Reasons and Market Reaction.” Management 21 1-17 (2016) https://www.ceeol.com/search/article-detail?id=573234.
Balcilar, M., Bouri, E., Gupta, R., Rouband, D. “Can Volume Predict Bitcoin Returns and Volatility? A Quantiles Based Approach.” Economic Modeling 64 74-81 (2017) https://doi.org/10.1016/j.econmod.2017.03.019
Bariviera, A. F. “The Inefficiency of Bitcoin Revisited: A Dynamic Approach.” Economics Letters 161 1-4 (2017) https://doi.org/10.1016/j.econlet.2017.09.013.
Bartos, J. “Does Bitcoin Follow the Hypothesis of Efficient Market?” International Journal of Economic Sciences IV.2 10-23 (2015) https://doi.org/10.20472/ES.2015.4.2.002.
Baur, Dirk G., Cahill, D., Godfrey, K., Liu, Z. “Bitcoin Time-of-Day, Day-of-Week and Month-of Year Effects in Returns and Trading Volume.” Finance Research Letters 31 78-92 (2019) https://doi.org/10.1016/j.frl.2019.04.023.
Bouri, E., Lau, C. K., Lucey, B., Roubaud, D. “Trading Volume and the Predictability of Return and Volatility in the Cryptocurrency Market.” Finance Research Letters 29 340-346 (2019) https://doi.org/10.1016/j.frl.2018.08.015.
Bremer, M., Sweeney, R. “The Reversal of Large Stock Price Decreases.” Journal of Finance 46 747-754 (1991) https://doi.org/10.2307/2328846.
Caporale, G. M., Gil-Alana, L., Plastun, A. “Persistence in the Cryptocurrency Market.” Research in International Business and Finance 46 141-14 (2018) https://doi.org/10.1016/j.ribaf.2018.01.002.
Caporale, G., Plastun, A. “On Stock Price Overreactions: Frequency, Seasonality and Information Content.” Journal of Applied Economics 22.1 602-621 (2019) https://doi.org/10.1080/15140326.2019.1692509.
Caporale, G., Plastun, A. “Price Overreactions in the Cryptocurrency Market.” Journal of Economic Studies 46.5 1137-1155 (2019) http://doi.org/10.1108/JES-09-2018-0310.
Caporale, G.M., Plastun, A. Oliinyk, V. “Bitcoin Fluctuations and the Frequency of Price Overreactions.” Financial Markets and Portfolio Management 33.2 109-131 (2019) https://doi.org/10.1007/s11408-019-00332-5.
Carrick, J. “Bitcoin as a Complement to Emerging Market Currencies.” Emerging Markets Finance and Trade 52, 2321-2334 (2016) https://doi.org/10.1080/1540496X.2016.1193002.
Cheung, A., Roca, E., Su, J.-J. “Crypto-Currency Bubbles: An Application of the Phillips-Shi-Yu (2013) Methodology on Mt. Gox Bitcoin Prices.” Applied Economics 47 2348-2358 (2015) https://doi.org/10.1080/00036846.2015.1005827.
Chevapatrakul, T., Mascia, D. “Detecting Overreaction in the Bitcoin Market: A Quantile Autoregression Approach.” Finance Research Letters 30 371-377 (2019) https://doi.org/10.1016/j.frl.2018.11.004.
Ciaian, P., Rajcaniova, M., Kancs, D.A. “The Economics of Bitcoin Price Formation.” Applied Economics 48.19 1799-1815 (2016) https://doi.org/10.1080/00036846.2015.1109038
Corbet, S., Lucey, B., Yarovaya, L. “Datestamping the Bitcoin and Ethereum Bubbles.” Finance Research Letters 26 81–88 (2018) https://doi.org/10.1016/j.frl.2017.12.006.
Corbet, Shaen, Eraslan, V., Lucey, B., Sensoy, A. “The Effectiveness of Technical Trading Rules in Cryptocurrency Markets.” Finance Research Letters 31 32-37 (2019) https://doi.org/10.1016/j.frl.2019.04.027.
De Bondt, W., Thaler R. “Does the Stock Market Overreact?” Journal of Finance 40 793-808 (1985) https://doi.org/10.1111/j.1540-6261.1985.tb05004.x.
Dwyer, G. P. “The Economics of Bitcoin and Similar Private Digital Currencies.” Journal of Financial Stability 17 81-91 (2014) https://doi.org/10.1016/j.jfs.2014.11.006.
Fama, E. F. “The Behavior of Stock-Market Prices.” The Journal of Business 38 34-105 (1965) https://www.jstor.org/stable/2350752.
Gil-Alana, L.A., Cunado, J., Perez de Gracia, F. “Salient Features of Dependence in Daily US Stock Market Indices.” Physica A: Statistical Mechanics and its Applications 392.15 3198-3212 (2013) https://doi.org/10.1016/j.physa.2013.03.040
Katsiampa, P. “An Empirical Investigation of Volatility Dynamics in the Cryptocurrency Market.” Research in International Business and Finance 50 322-335 (2019) https://doi.org/10.1016/j.ribaf.2019.06.004.
Khuntia, S., Pattanayak, J. “Adaptive Market Hypothesis and Evolving Predictability of Bitcoin.” Economic Letters 167 26-28 (2018) https://doi.org/10.1016/j.econlet.2018.03.005
Kurihara, Y., Fukushima, A. “The Market Efficiency of Bitcoin: A Weekly Anomaly Perspective.” Journal of Applied Finance & Banking 7.3 57-64 (2017) https://ideas.repec.org/a/spt/apfiba/v7y2017i3f7_3_4.html.
Larson, S., Madura, J. “Overreaction and Underreaction in the Foreign Exchange Market.” Global Finance Journal 12.2 153-177 (2001) https://doi.org/10.1016/S1044-0283(01)00026-6.
Lasfer, M. A., Melnik, A., Thomas, D. C. “Short-Term Reaction of Stock Markets in Stressful Circumstances.” Journal of Banking & Finance 27.10 1959–1977 (2003) https://doi.org/10.1016/S0378-4266(02)00313-8.
Panagiotis, T., Renatas, K., Bayasgalan, T. “Momentum Trading in Cryptocurrencies: Short-Term Returns and Diversification Benefits.” Economics Letters (2019) https://doi.org/10.1016/j.econlet.2019.108728.
Qing, C., Xinyuan, L., Xiaowu, Z. “Cryptocurrency Momentum Effect: DFA and MF-DFA Analysis.” Physica A: Statistical Mechanics and its Applications 526 (2019) https://doi.org/10.1016/j.physa.2019.04.083.
Schnusenberg, O., Madura, J. “Do US Stock Market Indexes Over- or Under-React?” Journal of Financial Research 24.2 179–204 (2001) https://doi.org/10.1111/j.1475-6803.2001.tb00764.x.
Schwarz, G. E. “Estimating the Dimension of a Model.” Annals of Statistics 6.2 461–464 (1978) https://doi.org/10.1214/aos/1176344136.
Urquhart, A. “The Inefficiency of Bitcoin.” Economics Letters 148 80-82 (2016) https://doi.org/10.1016/j.econlet.2016.09.019.
Wong, M. “Abnormal Stock Returns Following Large One-day Advances and Declines: Evidence from Asian-Pacific Markets.” Financial Engineering and Japanese Markets 4 71-177 (1997) https://doi.org/10.1023/A:1009625931727.
Yukun, L., Tsyvinski, A. “Risks and Returns of Cryptocurrency.” Society for Economic Dynamic 2019 Meeting Papers 160 (2019) https://ideas.repec.org/p/red/sed019/160.html.
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