Evaluating Value-at-Risk Models via Quantile Regressions
Abstract
We propose an alternative backtest to evaluate the performance of Value-at-Risk (VaR) models. The presented methodology allows us to directly test the performance of many competing VaR models, as well as identify periods of an increased risk exposure based on a quantile regression model (Koenker & Xiao, 2002). Quantile regressions provide us an appropriate environment to investigate VaR models, since they can naturally be viewed as a conditional quantile function of a given return series. A Monte Carlo simulation is presented, revealing that our proposed test might exhibit more power in comparison to other backtests presented in the literature. Finally, an empirical exercise is conducted for daily S&P500 return series in order to explore the practical relevance of our methodology by evaluating five competing VaRs through four different backtests.Download Info
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Paper provided by Central Bank of Brazil, Research Department in its series Working Papers Series with number 161.Length:
Date of creation: Feb 2008
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Handle: RePEc:bcb:wpaper:161
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Web page: http://www.bcb.gov.br/?english
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- Gaglianone, Wagner Piazza & Lima, Luiz Renato & Linton, Oliver & Smith, Daniel R., 2011. "Evaluating Value-at-Risk Models via Quantile Regression," Journal of Business & Economic Statistics, American Statistical Association, vol. 29(1), pages 150-160.
- Wagner Piazza Gaglianone & Luiz Renato Lima & Oliver Linton & Daniel Smith, 2010. "Evaluating Value-at-Risk Models via Quantile Regression," NCER Working Paper Series 67, National Centre for Econometric Research.
- Gaglianone, Wagner Piazza & Linton, Oliver & Lima, Luiz Renato Regis de Oliveira, 2008. "Evaluating Value-at-Risk models via Quantile regressions," Economics Working Papers (Ensaios Economicos da EPGE) 679, Graduate School of Economics, Getulio Vargas Foundation (Brazil).
- Gaglianone, Wagner Piazza & Lima, Luiz Renato & Linton, Oliver & Smith, Daniel, . "Evaluating Value-at-Risk models via Quantile Regression," Open Access publications from Universidad Carlos III de Madrid info:hdl:10016/4883, Universidad Carlos III de Madrid.
- Wagner Piazza Gaglianone & Luiz Renato Lima & Oliver Linton & Daniel Smith, 2009. "Evaluating Value-at-Risk models via Quantile Regression," Economics Working Papers we094625, Universidad Carlos III, Departamento de Economía.
- C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
- C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
- C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
- G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
This paper has been announced in the following NEP Reports:
- NEP-ALL-2008-03-25 (All new papers)
- NEP-ECM-2008-03-25 (Econometrics)
- NEP-RMG-2008-03-25 (Risk Management)
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Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- Lidia Sanchis-Marco & Antonio Rubia Serrano, 2011. "On downside risk predictability through liquidity and trading activity: a quantile regression approach," Working Papers. Serie AD 2011-14, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Rubia, Antonio & Sanchis-Marco, Lidia, 2013. "On downside risk predictability through liquidity and trading activity: A dynamic quantile approach," International Journal of Forecasting, Elsevier, vol. 29(1), pages 202-219.
- Richard H. Gerlach & Cathy W.S. Chen & Liou-Yan Lin, 2012. "Bayesian Semi-parametric Expected Shortfall Forecasting in Financial Markets," Working Papers 01/2012, University of Sydney Business School, Discipline of Business Analytics, revised Jan 2012.
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