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Does Asymmetric Dependence Structure Matter? A Value-at-Risk View

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  • YiHao Lai

    (Department of Finance, Da-Yeh University, Taiwan)

Abstract

To investigate the importance of asymmetric dependence structures for portfolio value-at-risk (VaR) and conditional VaR (CVaR) calculations, we introduce bivariate copula functions with two GJR-GARCH models as marginals. The results show that the copula models and the competing dynamic conditional correlation (DCC) model are valid for almost all two-asset portfolios with different weights. However, among models validated with standard procedures, copula models with asymmetric dependence structures can save capital charges for market risks and reduce potential loss compared with those with symmetric dependence structures and with the competing DCC model, implying that asymmetric dependence structures are of great importance in improving VaR and CVaR calculations not only from a statistical but also an economic perspective.

Suggested Citation

  • YiHao Lai, 2008. "Does Asymmetric Dependence Structure Matter? A Value-at-Risk View," International Journal of Business and Economics, School of Management Development, Feng Chia University, Taichung, Taiwan, vol. 7(3), pages 249-268, December.
    • Handle: RePEc:ijb:journl:v:7:y:2008:i:3:p:249-268
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    References listed on IDEAS

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    Cited by:

    1. Tung-Zong (Donald) Chang & Su-Jane Chen & Hongmei Gu & Aijie Jiang, 2018. "A Market Volatility Analysis of the Shanghai-Hong Kong Stock Connect Program," International Journal of Business and Economics, School of Management Development, Feng Chia University, Taichung, Taiwan, vol. 17(2), pages 113-121, September.

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    More about this item

    Keywords

    value-at-risk; asymmetry; dependence structure; copula; multivariate GARCH model;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill

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