Predicting Cryptocurrency Log-Return Prices Using Multivariate Time-Series Models

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Introduction

Cryptocurrencies have emerged as high-volatility investment assets, presenting unique challenges for price prediction. This study develops advanced models to predict log-return prices of major cryptocurrencies (Bitcoin, Ethereum, Binance Coin) by incorporating volatility features derived from ARCH/GARCH models alongside traditional price data.

Key Innovations

  1. Volatility Integration: Combines closing prices with ARCH/GARCH-derived volatility metrics
  2. Feature Selection: Uses Gini impurity to identify the most influential predictors for each cryptocurrency
  3. Model Comparison: Benchmarks ARIMA against neural networks (RNN/LSTM/GRU)
  4. Practical Application: Provides actionable insights for cryptocurrency investors managing high-risk portfolios

Methodology

Data Collection & Preprocessing

Feature Engineering

Feature TypeDescriptionCount
Closing PricesLog-return converted daily prices11
ARCH(1) VolatilityShort-term volatility metrics11
GARCH(1,1)Generalized volatility metrics11

Prediction Models

  1. Traditional: ARIMA(2,1,0) with 2-time leg structure
  2. Neural Networks:

    • 6 architectures tested (RNN/LSTM/GRU)
    • Optimal: Architecture 6 (minimal layers, lowest computation)

Key Findings

Performance Metrics (Validation Data)

CryptocurrencyBest ModelMAERMSE
BitcoinRNN Arch 50.03740.0491
EthereumGRU Arch 60.03930.0486
Binance CoinRNN Arch 60.02510.0355

Feature Importance

Top 3 predictors per cryptocurrency:

  1. Bitcoin: BTC-ARCH, ETH-Close, LTC-Close
  2. Ethereum: ETH-ARCH, LTC-Close, NEO-Close
  3. Binance Coin: BNB-ARCH, ETH-Close, ADA-Close

Practical Applications

๐Ÿ‘‰ Discover real-time cryptocurrency analytics tools to implement these models

๐Ÿ‘‰ Explore volatility prediction APIs for portfolio management

Limitations & Future Research

Conclusion

This study demonstrates that neural network models incorporating volatility features significantly improve log-return price prediction accuracy versus traditional methods. The ARCH/GARCH-enhanced approach provides investors with robust tools for navigating cryptocurrency markets' inherent volatility.


FAQ Section

Q: Why use log-return prices instead of raw prices?
A: Log-returns normalize volatility and make trends more statistically tractable for time-series analysis.

Q: How frequently should models be retrained?
A: Weekly retraining is recommended given cryptocurrency markets' rapid evolution.

Q: Can these models predict extreme price swings?
A: While effective for normal volatility, black swan events remain challenging to predict accurately.


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