| dc.description.abstract |
Predicting volatility and correlation in financial assets is crucial for assessing financial
risk and achieving effective portfolio diversification. However, conventional econometric
models used for forecasting volatility and dependence structures have frequently been
criticized for their limited predictive performance. Consequently, the adoption of deep
learning techniques for volatility and correlation forecasting has emerged as a logical alternative.
Nevertheless, although the application of machine learning models in volatility
prediction has advanced considerably, these approaches still face challenges in effectively
capturing market noise and key stylized facts, such as volatility clustering and leverage
effects. These considerations highlight the potential for integrating traditional econometric
models with deep learning techniques, particularly convolutional neural networks and
long short-term memory networks, an area that still requires further exploration. In this
thesis, we investigate the integration of GARCH-type models with a CNN–LSTM hybrid
framework to enhance the accuracy of volatility prediction in financial markets. Convolutional
neural networks (CNNs) are effective in identifying local spatial patterns in timeseries
data, whereas long short-term memory (LSTM) networks are capable of retaining
crucial information over extended temporal horizons. In addition, GARCH models are
well known for their ability to capture key stylized facts of financial returns, including
volatility clustering and excess kurtosis.
For GARCH-type model selection, several model adequacy and selection criteria are considered,
including the Akaike Information Criterion (AIC), Bayesian Information Criterion
(BIC), maximum log-likelihood values, and the statistical significance of model
parameters. Furthermore, the mean-reversion property of volatility dynamics is evaluated
under alternative distributional assumptions, such as the normal, Student’s-t, and generalized
error distributions. The CNN and LSTM models are subsequently selected due to
v
their complementary capabilities in volatility prediction. The forecasting performance of
the proposed hybrid models is evaluated using loss functions computed from daily out-ofsample
test data for the S&P 500 index. Specifically, Mean Squared Error (MSE), Root
Mean Squared Error (RMSE), and Mean Absolute Error (MAE) are employed as evaluation
metrics. The empirical results indicate that the proposed GARCH–CNN–LSTM
model outperforms alternative hybrid specifications, achieving up to a 13% improvement
in forecasting accuracy over the study period.
Furthermore, this study proposes a DCC–EGARCH model integrated with a Long Short-
Term Memory (LSTM) network to model multivariate volatility and to obtain more precise
estimates of dynamic correlations. The DCC–EGARCH framework effectively captures
asymmetric effects in standardized residuals within the conditional covariance structure,
while the LSTM network is capable of learning long-term dependencies and complex
temporal patterns in sequential data. Consequently, the combined framework is expected
to enhance forecasting accuracy for dynamic correlations across stock market indices as
well as selected agricultural commodities.
In particular, the volatility dynamics and time-varying correlations among the S&P 500,
the Shanghai Stock Exchange Composite Index (SHCOMP), the NIFTY 50 of the National
Stock Exchange of India, and the S&P/TSX Composite Index of Canada are empirically
examined. The experimental results indicate that incorporating LSTM into the
DCC–EGARCH framework substantially improves forecasting performance, as evidenced
by lower Mean Squared Error (MSE) and Mean Absolute Error (MAE) values. Overall,
the findings demonstrate that the proposed DCC–EGARCH–LSTM hybrid model outperforms
alternative DCC specifications, highlighting the effectiveness of integrating deep
learning techniques to achieve more reliable and accurate predictions of dynamic correlations
in financial markets.
In the nutshell, we integrated econometric ARCH -type models with hybrid deep learning
models for more accurate univariate and multivariate volatility and correlation prediction
in selected agricultural commodities and stock market indices |
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