Arbeitspapier
Estimation and Forecasting of Large Realized Covariance Matrices and Portfolio Choice
In this paper we consider modeling and forecasting of large realized covariance matrices by penalized vector autoregressive models. We propose using Lasso-type estimators to reduce the dimensionality to a manageable one and provide strong theoretical performance guarantees on the forecast capability of our procedure. To be precise, we show that we can forecast future realized covariance matrices almost as precisely as if we had known the true driving dynamics of these in advance. We next investigate the sources of these driving dynamics for the realized covariance matrices of the 30 Dow Jones stocks and find that these dynamics are not stable as the data is aggregated from the daily to the weekly and monthly frequency. The theoretical performance guarantees on our forecasts are illustrated on the Dow Jones index. In particular, we can beat our benchmark by a wide margin at the longer forecast horizons. Finally, we investigate the economic value of our forecasts in a portfolio selection exercise and find that in certain cases an investor is willing to pay a considerable amount in order get access to our forecasts.
- Language
-
Englisch
- Bibliographic citation
-
Series: Tinbergen Institute Discussion Paper ; No. 14-147/III
- Classification
-
Wirtschaft
Single Equation Models; Single Variables: Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
- Subject
-
Realized covariance
vector autoregression
shrinkage
Lasso
forecasting
portfolio allocation
- Event
-
Geistige Schöpfung
- (who)
-
Callot, Laurent
Kock, Anders B.
Medeiros, Marcelo C.
- Event
-
Veröffentlichung
- (who)
-
Tinbergen Institute
- (where)
-
Amsterdam and Rotterdam
- (when)
-
2014
- Handle
- Last update
-
10.03.2025, 11:43 AM CET
Data provider
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
Object type
- Arbeitspapier
Associated
- Callot, Laurent
- Kock, Anders B.
- Medeiros, Marcelo C.
- Tinbergen Institute
Time of origin
- 2014
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Forecasting Co-Volatilities via Factor Models with Asymmetry and Long Memory in Realized Covariance
Modeling and Forecasting of Realized Covariance Matrices of Asset Returns using State-Space Models
Forecasting Multivariate Volatility using the VARFIMA Model on Realized Covariance Cholesky Factors
Modelling and forecasting multivariate realized volatility
Modelling and forecasting multivariate realized volatility
Fractional Integration and Fat Tails for Realized Covariance Kernels and Returns
A blocking and regularization approach to high dimensional realized covariance estimation
A blocking and regularization approach to high dimensional realized covariance estimation
New HEAVY Models for Fat-Tailed Returns and Realized Covariance Kernels
Modelling and Forecasting of Realized Covariance Matrices
Modeling and forecasting realized portfolio diversification benefits
Modeling and forecasting realized portfolio diversification benefits
Forecasting Co-Volatilities via Factor Models with Asymmetry and Long Memory in Realized Covariance
Modeling and Forecasting of Realized Covariance Matrices of Asset Returns using State-Space Models
Forecasting Multivariate Volatility using the VARFIMA Model on Realized Covariance Cholesky Factors
Modelling and forecasting multivariate realized volatility
Modelling and forecasting multivariate realized volatility
Fractional Integration and Fat Tails for Realized Covariance Kernels and Returns
A blocking and regularization approach to high dimensional realized covariance estimation
A blocking and regularization approach to high dimensional realized covariance estimation