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Exchangeability, extreme returns and Value-at-Risk forecasts

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  • Huang, Chun-Kai
  • North, Delia
  • Zewotir, Temesgen

Abstract

In this paper, we propose a new approach to extreme value modelling for the forecasting of Value-at-Risk (VaR). In particular, the block maxima and the peaks-over-threshold methods are generalised to exchangeable random sequences. This caters for the dependencies, such as serial autocorrelation, of financial returns observed empirically. In addition, this approach allows for parameter variations within each VaR estimation window. Empirical prior distributions of the extreme value parameters are attained by using resampling procedures. We compare the results of our VaR forecasts to that of the unconditional extreme value theory (EVT) approach and the conditional GARCH-EVT model for robust conclusions.

Suggested Citation

  • Huang, Chun-Kai & North, Delia & Zewotir, Temesgen, 2017. "Exchangeability, extreme returns and Value-at-Risk forecasts," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 477(C), pages 204-216.
    • Handle: RePEc:eee:phsmap:v:477:y:2017:i:c:p:204-216
    DOI: 10.1016/j.physa.2017.02.080
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    References listed on IDEAS

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    Cited by:

    1. Krzysztof Echaust & Małgorzata Just, 2020. "Value at Risk Estimation Using the GARCH-EVT Approach with Optimal Tail Selection," Mathematics, MDPI, vol. 8(1), pages 1-24, January.
    2. Chen, Yan & Yu, Wenqiang, 2020. "Setting the margins of Hang Seng Index Futures on different positions using an APARCH-GPD Model based on extreme value theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 544(C).

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    More about this item

    Keywords

    Value-at-risk; Extreme value; Exchangeability; Block maxima; Peaks-over-threshold;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation

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