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Multivariate moments expansion density: application of the dynamic equicorrelation model

Author

Listed:
  • Trino-Manuel Ñíguez

    (Banco de España)

  • Javier Perote

    (Universidad de Salamanca)

Abstract

In this study, we propose a new semi-nonparametric (SNP) density model for describing the density of portfolio returns. This distribution, which we refer to as the multivariate moments expansion (MME), admits any non-Gaussian (multivariate) distribution as its basis because it is specified directly in terms of the basis density s moments. To obtain the expansion of the Gaussian density, the MME is a reformulation of the multivariate Gram-Charlier (MGC), but the MME is much simpler and tractable than the MGC when positive transformations are used to produce well-defined densities. As an empirical application, we extend the dynamic conditional equicorrelation (DECO) model to an SNP framework using the MME. The resulting model is parameterized in a feasible manner to admit two-stage consistent estimation, and it represents the DECO as well as the salient non-Gaussian features of portfolio return distributions. The in- and out-of-sample performance of a MME-DECO model of a portfolio of 10 assets demonstrates that it can be a useful tool for risk management purposes.

Suggested Citation

  • Trino-Manuel Ñíguez & Javier Perote, 2016. "Multivariate moments expansion density: application of the dynamic equicorrelation model," Working Papers 1602, Banco de España.
    • Handle: RePEc:bde:wpaper:1602
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    Cited by:

    1. Ñíguez, Trino-Manuel & Perote, Javier, 2017. "Moments expansion densities for quantifying financial risk," The North American Journal of Economics and Finance, Elsevier, vol. 42(C), pages 53-69.
    2. Alfredo Trespalacios & Lina M. Cortés & Javier Perote, 2021. "Modeling Electricity Price and Quantity Uncertainty: An Application for Hedging with Forward Contracts," Energies, MDPI, vol. 14(11), pages 1-26, June.
    3. Del Brio, Esther B. & Mora-Valencia, Andrés & Perote, Javier, 2020. "Risk quantification for commodity ETFs: Backtesting value-at-risk and expected shortfall," International Review of Financial Analysis, Elsevier, vol. 70(C).
    4. Conlon, Thomas & Corbet, Shaen & Goodell, John W. & Hou, Yang (Greg) & Oxley, Les, 2024. "Financial market information flows when counteracting rogue states: The indirect effects of targeted sanction packages," Journal of Economic Behavior & Organization, Elsevier, vol. 217(C), pages 32-62.
    5. Markus Vogl, 2022. "Quantitative modelling frontiers: a literature review on the evolution in financial and risk modelling after the financial crisis (2008–2019)," SN Business & Economics, Springer, vol. 2(12), pages 1-69, December.
    6. Collings, David & Corbet, Shaen & Hou, Yang (Greg) & Hu, Yang & Larkin, Charles & Oxley, Les, 2022. "The effects of negative reputational contagion on international airlines: The case of the Boeing 737-MAX disasters," International Review of Financial Analysis, Elsevier, vol. 80(C).
    7. Del Brio, Esther B. & Mora-Valencia, Andrés & Perote, Javier, 2017. "The kidnapping of Europe: High-order moments' transmission between developed and emerging markets," Emerging Markets Review, Elsevier, vol. 31(C), pages 96-115.
    8. Corbet, Shaen & Hou, Yang (Greg) & Hu, Yang & Oxley, Les, 2022. "The influence of the COVID-19 pandemic on the hedging functionality of Chinese financial markets," Research in International Business and Finance, Elsevier, vol. 59(C).
    9. Hou, Yang & Li, Steven & Wen, Fenghua, 2019. "Time-varying volatility spillover between Chinese fuel oil and stock index futures markets based on a DCC-GARCH model with a semi-nonparametric approach," Energy Economics, Elsevier, vol. 83(C), pages 119-143.
    10. Corbet, Shaen & Hou, Yang (Greg) & Hu, Yang & Larkin, Charles & Lucey, Brian & Oxley, Les, 2022. "Cryptocurrency liquidity and volatility interrelationships during the COVID-19 pandemic," Finance Research Letters, Elsevier, vol. 45(C).
    11. Jiménez, Inés & Mora-Valencia, Andrés & Perote, Javier, 2023. "Multivariate dynamics between emerging markets and digital asset markets: An application of the SNP-DCC model," Emerging Markets Review, Elsevier, vol. 56(C).
    12. Zaichao Du & Pei Pei, 2020. "Backtesting portfolio value‐at‐risk with estimated portfolio weights," Journal of Time Series Analysis, Wiley Blackwell, vol. 41(5), pages 605-619, September.
    13. Cioroianu, Iulia & Corbet, Shaen & Hou, Yang (Greg) & Hu, Yang & Larkin, Charles & Taffler, Richard, 2024. "Exploring the use of emotional sentiment to understanding market response to unexpected corporate pivots," Research in International Business and Finance, Elsevier, vol. 70(PA).
    14. Jiménez, Inés & Mora-Valencia, Andrés & Perote, Javier, 2024. "Bitcoin halving and the integration of cryptocurrency and forex markets: An analysis of the higher-order moment spillovers," International Review of Economics & Finance, Elsevier, vol. 92(C), pages 302-315.
    15. Corbet, Shaen & Cumming, Douglas J. & Hou, Yang (Greg) & Hu, Yang & Oxley, Les, 2022. "Have crisis-induced banking supports influenced European bank performance, resilience and price discovery?," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 78(C).
    16. Inés Jiménez & Andrés Mora-Valencia & Trino-Manuel Ñíguez & Javier Perote, 2020. "Portfolio Risk Assessment under Dynamic (Equi)Correlation and Semi-Nonparametric Estimation: An Application to Cryptocurrencies," Mathematics, MDPI, vol. 8(12), pages 1-24, November.
    17. Andrés Mora-Valencia & Trino-Manuel Ñíguez & Javier Perote, 2017. "Multivariate approximations to portfolio return distribution," Computational and Mathematical Organization Theory, Springer, vol. 23(3), pages 347-361, September.
    18. León, Ángel & Ñíguez, Trino-Manuel, 2021. "The transformed Gram Charlier distribution: Parametric properties and financial risk applications," Journal of Empirical Finance, Elsevier, vol. 63(C), pages 323-349.
    19. Hou, Yang (Greg) & Xu, Danyang & Oxley, Les & Goodell, John W., 2024. "Price discovery of climate risk and green bonds: A dynamic information leadership share approach," Finance Research Letters, Elsevier, vol. 69(PB).

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    JEL classification:

    • C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Econometric and Statistical Methods; Specific Distributions
    • G1 - Financial Economics - - General Financial Markets

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