Calculating Value-at-Risk for high-dimensional time series using a nonlinear random mapping model

2017 ◽  
Vol 67 ◽  
pp. 355-367 ◽  
Author(s):  
Heng-Guo Zhang ◽  
Chi-Wei Su ◽  
Yan Song ◽  
Shuqi Qiu ◽  
Ran Xiao ◽  
...  
2017 ◽  
Vol 10 (2) ◽  
pp. 187-200 ◽  
Author(s):  
Heng-Guo Zhang ◽  
Libo Wu ◽  
Yan Song ◽  
Chi-Wei Su ◽  
Qingping Wang ◽  
...  

2011 ◽  
Vol 4 (2) ◽  
pp. 216-228 ◽  
Author(s):  
Javier Arroyo ◽  
Gloria González-Rivera ◽  
Carlos Maté ◽  
Antonio Muñoz San Roque

2006 ◽  
Vol 16 (05) ◽  
pp. 371-382 ◽  
Author(s):  
EDMOND H. C. WU ◽  
PHILIP L. H. YU ◽  
W. K. LI

We suggest using independent component analysis (ICA) to decompose multivariate time series into statistically independent time series. Then, we propose to use ICA-GARCH models which are computationally efficient to estimate the multivariate volatilities. The experimental results show that the ICA-GARCH models are more effective than existing methods, including DCC, PCA-GARCH, and EWMA. We also apply the proposed models to compute value at risk (VaR) for risk management applications. The backtesting and the out-of-sample tests validate the performance of ICA-GARCH models for value at risk estimation.


2015 ◽  
Vol 9 ◽  
pp. 2779-2787 ◽  
Author(s):  
Dodi Devianto ◽  
Maiyastri ◽  
Dian Rezki Fadhilla

Entropy ◽  
2019 ◽  
Vol 21 (2) ◽  
pp. 102 ◽  
Author(s):  
Daniel Pele ◽  
Miruna Mazurencu-Marinescu-Pele

In this paper we investigate the ability of several econometrical models to forecast value at risk for a sample of daily time series of cryptocurrency returns. Using high frequency data for Bitcoin, we estimate the entropy of intraday distribution of logreturns through the symbolic time series analysis (STSA), producing low-resolution data from high-resolution data. Our results show that entropy has a strong explanatory power for the quantiles of the distribution of the daily returns. Based on Christoffersen’s tests for Value at Risk (VaR) backtesting, we can conclude that the VaR forecast build upon the entropy of intraday returns is the best, compared to the forecasts provided by the classical GARCH models.


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