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Sequential conditional correlations: Inference and evaluation

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  • Palandri, Alessandro

Abstract

This paper presents a new approach to the modeling of conditional correlation matrices within the multivariate GARCH framework. The procedure, which consists of breaking the matrix into the product of a sequence of matrices with desirable characteristics, in effect converts a highly dimensional and intractable optimization problem into a series of simple and feasible estimations. This in turn allows for richer parameterizations and complex functional forms for the single components. An empirical application involving the conditional second moments of 69 selected stocks from the NASDAQ100 shows how the new procedure results in strikingly accurate measures of the conditional correlations.

Suggested Citation

  • Palandri, Alessandro, 2009. "Sequential conditional correlations: Inference and evaluation," Journal of Econometrics, Elsevier, vol. 153(2), pages 122-132, December.
  • Handle: RePEc:eee:econom:v:153:y:2009:i:2:p:122-132
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    Cited by:

    1. Sébastien Laurent & Jeroen V. K. Rombouts & Francesco Violante, 2012. "On the forecasting accuracy of multivariate GARCH models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 27(6), pages 934-955, September.
    2. Alp, Tansel & Demetrescu, Matei, 2010. "Joint forecasts of Dow Jones stocks under general multivariate loss function," Computational Statistics & Data Analysis, Elsevier, vol. 54(11), pages 2360-2371, November.
    3. Palandri, Alessandro, 2015. "Do negative and positive equity returns share the same volatility dynamics?," Journal of Banking & Finance, Elsevier, vol. 58(C), pages 486-505.
    4. repec:wsi:rpbfmp:v:10:y:2007:i:01:n:s0219091507000982 is not listed on IDEAS
    5. Boudt, Kris & Laurent, Sébastien & Lunde, Asger & Quaedvlieg, Rogier & Sauri, Orimar, 2017. "Positive semidefinite integrated covariance estimation, factorizations and asynchronicity," Journal of Econometrics, Elsevier, pages 347-367.
    6. R. Khalfaoui & M. Boutahar, 2012. "Portfolio Risk Evaluation: An Approach Based on Dynamic Conditional Correlations Models and Wavelet Multi-Resolution Analysis," Working Papers halshs-00793068, HAL.
    7. Philippe Charlot & Vêlayoudom Marimoutou, 2008. "Hierarchical hidden Markov structure for dynamic correlations: the hierarchical RSDC model," Working Papers halshs-00285866, HAL.
    8. Yertai Tanai & Kuan-Pin Lin, 2013. "Mongolian and World Equity Markets: Volatilities and Correlations," Eurasian Economic Review, Springer;Eurasia Business and Economics Society, vol. 3(2), pages 136-164, December.
    9. repec:eee:intfor:v:34:y:2018:i:1:p:45-63 is not listed on IDEAS
    10. Savva, Christos S., 2009. "International stock markets interactions and conditional correlations," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 19(4), pages 645-661, October.
    11. Alessandro Palandri, 2009. "The Effects of Interest Rate Movements on Assets’ Conditional Second Moments," CREATES Research Papers 2009-32, Department of Economics and Business Economics, Aarhus University.
    12. Palandri, Alessandro, 2014. "Risk-free rate effects on conditional variances and conditional correlations of stock returns," Journal of Empirical Finance, Elsevier, vol. 25(C), pages 95-111.
    13. Ruey S. Tsay, 2007. "Multivariate volatility models," Papers math/0702815, arXiv.org.
    14. de Almeida, Daniel & Hotta, Luiz K. & Ruiz, Esther, 2018. "MGARCH models: Trade-off between feasibility and flexibility," International Journal of Forecasting, Elsevier, pages 45-63.

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