Cryptocurrency price returns volatility modeling and forecasting with GARCH models

Authors

DOI:

https://doi.org/10.1108/RAUSP-04-2023-0056

Keywords:

Cryptocurrencies, Volatility, GARCH models, Forecasting

Abstract

Purpose

The paper aims to identify suitable conditional variance models for the estimation and forecasting of cryptocurrency returns volatility.

Design/methodology/approach

The methodology comprises the use of GARCH-family models estimated by maximum likelihood considering different scedastic functions, number of parameters and error distributions. A cross-validation approach is conducted under different market dynamics to provide robust results.

Findings

Results indicated that the best GARCH methods for digital coins volatility modeling and forecasting are those associated with a small number of parameters, allowing for asymmetric volatility behavior and considering normal/student distributions.

Research limitations/implications

The findings indicated that volatility behaves differently for each evaluated cryptocurrency, and the selection of the best scedastic function depends on the corresponding digital coin more than the period under evaluation.

Practical implications

Investors should prefer parsimonious GARCH structures when modeling and forecasting cryptocurrency volatility, and must consider the current state of the market as the methods lose accuracy in high-volatile periods.

Social implications

The work provides a better understanding of the volatility dynamics of cryptocurrencies, providing evidence of more accurate tools for risk management in this volatile market. Further, better-informed investors on the risks associated with this market are less susceptible to high price variations.

Originality/value

The research presents an extensive experimental study to identify the optimal GARCH structure for modeling and forecasting return volatility in digital currencies, considering various market conditions and digital coins, which yields more robust results.

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References

Aras, S. (2021). Stacking hybrid GARCH models for forecasting Bitcoin volatility. Expert Systems with Applications, 174, 114747.

Baek, C., & Elbeck, M. (2015). Bitcoins as an investment or speculative vehicle? A first look. Applied Economics Letters, 22(1), 30–34.

Bergsli, L. Ø., Lind, A. F., Molna´r, P., & Polasik, M. (2022). Forecasting volatility of Bitcoin. Research in International Business and Finance, 59, 101540.

Blau, B. M. (2017). Price dynamics and speculative trading in Bitcoin. Research in International Business and Finance, 41, 493–499.

Bollerslev, T. (1986). Generalized autoregressive conditional heteroskedasticity. Journal of Econometrics, 31(3), 307–327.

Cheah, E.-T., & Fry, J. (2015). Speculative bubbles in Bitcoin markets? An empirical investigation into the fundamental value of Bitcoin. Economics Letters, 130, 32–36.

Chen, Q., Huang, Z., & Liang, F. (2023). Forecasting volatility and value-at-risk for cryptocurrency using garch-type models: the role of the probability distribution. Applied Economics Letters, 1-8.

Corbet, S., Lucey, B., & Yarovaya, L. (2018). Datestamping the Bitcoin and Ethereum bubbles. Finance Research Letters, 26, 81–88.

Corbet, S., Meegan, A., Larkin, C., Lucey, B., & Yarovaya, L. (2018). Exploring the dynamic relationships between cryptocurrencies and other financial assets. Economics Letters, 165, 28-34.

Engle, R. F., White, H., et al. (1999). Cointegration, Causality, and Forecasting: A Festschrift in Honour of Clive W.J. Granger. Oxford University Press.

Fakhfekh, M., & Jeribi, A. (2020). Volatility dynamics of crypto-currencies’ returns: Evidence from asymmetric and long memory GARCH models. Research in International Business and Finance, 51, 101075.

Fung, K., Jeong, J., & Pereira, J. (2022). More to cryptos than bitcoin: A garch modelling of heterogeneous cryptocurrencies. Finance research letters, 47, 102544.

Ghosh, B., Bouri, E., Wee, J. B., & Zulfiqar, N. (2023). Return and volatility properties: Stylized facts from the universe of cryptocurrencies and nfts. Research in International Business and Finance, 65, 101945.

Glosten, L. R., Jagannathan, R., & Runkle, D. E. (1993). On the relation between the expected value and the volatility of the nominal excess return on stocks. The Journal of Finance, 48(5), 1779–1801.

Katsiampa, P. (2017). Volatility estimation for Bitcoin: A comparison of GARCH models. Economics Letters, 158, 3–6.

Katsiampa, P. (2019). An empirical investigation of volatility dynamics in the cryptocurrency market. Research in International Business and Finance, 50, 322–335.

Kinateder, H., & Papavassiliou, V. G. (2019). Calendar effects in Bitcoin returns and volatility. Finance Research Letters, 101420.

Ko¨chling, G., Schmidtke, P., & Posch, P. N. (2020). Volatility forecasting accuracy for Bitcoin. Economics Letters, 191, 108836.

Lo´pez-Cabarcos, M. A., P´erez-Pico, A. M., Pin˜eiro-Chousa, J., &´ Sevi´c, A. (2019). Bitcoinˇ volatility, stock market and investor sentiment. Are they connected? Finance Research Letters, 101399.

Ma, D., & Tanizaki, H. (2019). The day-of-the-week effect on Bitcoin return and volatility. Research in International Business and Finance, 49, 127–136.

Nakamoto, S. (2008). Bitcoin: A Peer-to-Peer Electronic Cash System. Retrived from: https://bitcoin.org/en/bitcoin-paper. Accessed on April 13, 2023.

Nelson, D. B. (1991). Conditional heteroskedasticity in asset returns: A new approach. Econometrica: Journal of the Econometric Society, 347–370.

Patton, A. J. (2011). Volatility forecast comparison using imperfect volatility proxies. Journal of Econometrics, 160(1), 246–256.

Peng, Y., Albuquerque, P. H. M., de Sa´, J. M. C., Padula, A. J. A., & Montenegro, M. R. (2018). The best of two worlds: Forecasting high frequency volatility for cryptocurrencies and traditional currencies with support vector regression. Expert Systems with Applications, 97, 177–192.

Phillip, A., Chan, J. S., & Peiris, S. (2018). A new look at cryptocurrencies. Economics Letters, 163, 6–9.

So¨ylemez, Y. (2019). Cryptocurrency derivatives: The case of bitcoin. In U. Hacioglu (Ed.), Blockchain economics and financial market innovation: Financial innovations in the digital age (pp. 515–530). Cham: Springer International Publishing.

Su, F. (2021). Conditional volatility persistence and volatility spillovers in the foreign exchange market. Research in International Business and Finance, 55, 101312.

Sun, W., & Kristoufek, L. (2024). Beyond garch in cryptocurrency volatility modelling: superiority of range-based estimators. Applied Economics Letters, 1–8.

Wang, J., Ma, F., Bouri, E., & Guo, Y. (2023). Which factors drive bitcoin volatility: Macroeconomic, technical, or both? Journal of Forecasting, 42(4), 970-988.

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Published

2025-12-29

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Section

Research Paper