The Sign RCA Models: Comparing Predictive Accuracy of VaR Measures
DOI:
https://doi.org/10.12775/DEM.2010.006Keywords
Family of Sign RCA Models, Value at Risk, backtesting, loss functionAbstract
Evaluating Value at Risk (VaR) methods of predictive accuracy in an objective and effective framework is important for both efficient capital allocation and loss prediction. From this reasons, finding an adequate method of estimating and backtesting is crucial for both the regulators and the risk managers’. The Sign RCA models may be useful to obtain the accurate forecasts of VaR. In this research one briefly describes the Sign RCA models, the Value at Risk and backtesting. We compare the predictive accuracy of alternative VaR forecasts obtained from different models. Empirical example is mainly related to the PBG Capital Group shares on the Warsaw Stock Exchange.
References
Angelidis, T., Benos, A., Degiannakis, S. (2004), The Use of GARCH Models in VaR Estimation, Statistical Methodology, 1, 105–128. DOI: http://dx.doi.org/10.1016/j.stamet.2004.08.004
Appadoo, S. S., Thavaneswaran, A., Singh, J. (2006), RCA Models with Correlated Errors, Applied Mathematics Letters, 19, 824–829. DOI: http://dx.doi.org/10.1016/j.aml.2005.11.003
Artzner, P., Delbaen, F., Eber, J.-M., Heath, D. (1999), Coherent Measures of Risk, Mathematical Finance, 9, 203–228. DOI: http://dx.doi.org/10.1111/1467-9965.00068
Aue, A. (2004), Strong Approximation for RCA(1) Time Series with Applications, Statistics & Probability Letters, 68, 369–382.
Bao, Y., Lee, T.-H., Saltoglu, B. (2006), Evaluating Predictive Performance of Value-at-Risk Models in Emerging Markets: A Reality Check, Journal of Forecasting, 25,101–128.
Blanco, C., Ihle, G. (1998), How good is your VaR? Using Backtesting to Assess System Performance, Financial Engineering News, August, 1–2.
Bollerslev, T. (1986), Generalized Autoregressive Conditional Heteroscedasticity, Journal of Econometrics, 31, 307–327. DOI: http://dx.doi.org/10.1016/0304-4076(86)90063-1
Caporin, M. (2003), Evaluating Value-at-Risk Measures in Presence of Long Memory Conditional Volatility, Working Paper 05.03, GRETA.
Christoffersen, P. F. (1998), Evaluating Interval Forecasts, International Economic Review, 39, 841–862. DOI: http://dx.doi.org/10.2307/2527341
Diebold, F. X., Mariano, R. S. (1995), Comparing Predictive Accuracy, Journal of Business & Economic Statistics, 13, 253–263. DOI: http://dx.doi.org/10.2307/1392185
Engle, R. F. (1982), Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation, Econometrica, 50, 987–1006.
Giacomini, R., Komunjer, I. (2005), Evaluation and Combination of Conditional Quantile Forecasts, Journal of Business and Economic Statistics, 23, 416–431. DOI: http://dx.doi.org/10.1198/073500105000000018
Górka, J. (2008), Description the Kurtosis of Distributions by Selected Models with Sing Function, Dynamic Econometric Models, 8, 39–49.
Haas, M. (2001), New Methods in Backtesting, Financial Engineering, Working Paper, Bonn.
Lopez, J. (1998), Methods for Evaluating Value-at-Risk Estimates, FRBNY Economic Policy Review.
Lopez, J. (1999), Regulatory Evaluation of Value-at-Risk Models, FRBNY Economic Policy Review, 4, 119–124.
Nicholls, D., Quinn, B. (1982), Random Coefficient Autoregressive Models: An Introduction, Springer, New York.
Sarma, M., Thomas, S., Shah, A. (2003), Selection of Value-at-Risk Models, Journal of Forecasting, 22, 337–358. DOI: http://dx.doi.org/10.1002/for.868
Thavaneswaran, A., Appadoo, S. S. (2006), Properties of a New Family of Volatility Sing Models, Computers & Mathematics with Applications, 52, 809–818.
Thavaneswaran, A., Appadoo, S. S., Bector, C. R. (2006), Recent Developments in Volatility Modeling and Application, Journal of Applied Mathematics and Decision Sciences, 2006, 1–23. DOI: http://dx.doi.org/10.1155/JAMDS/2006/86320
Thavaneswaran, A., Appadoo, S. S., Ghahramani, M. (2009), RCA Models with GARCH Innovations, Applied Mathematics Letters, 22, 110–114. DOI: http://dx.doi.org/10.1016/j.aml.2008.02.015
Thavaneswaran, A., Peiris, S., Appadoo, S. (2008), Random Coefficien Volatility Models, Statistics & Probability Letters, 78, 582–593.
Downloads
Published
How to Cite
Issue
Section
License
The journal provides an Open Access to its content based on the non-exclusive licence Creative Commons (CC BY-ND 4.0).
To enable the publisher to disseminate the author's work to the fullest extent, the author must agrees to the terms and conditions of the License Agreement with Nicolaus Copernicus University.
Stats
Number of views and downloads: 449
Number of citations: 0