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Risk-Based Portfolios with Large Dynamic Covariance Matrices

Author

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  • Kei Nakagawa

    (Nomura Asset Management Co., Ltd. 1-12-1 Nihonbashi, Chuo-ku, 103-0027 Tokyo, Japan
    Graduate School of Business Sciences, University of Tsukuba, 3-29-1 Otsuka, Bunkyo-ku, 112-0012 Tokyo, Japan)

  • Mitsuyoshi Imamura

    (Nomura Asset Management Co., Ltd. 1-12-1 Nihonbashi, Chuo-ku, 103-0027 Tokyo, Japan
    Department of Risk Engineering, University of Tsukuba, 1-1-1 Tennodai, 305-8577 Tsukuba, Japan)

  • Kenichi Yoshida

    (Graduate School of Business Sciences, University of Tsukuba, 3-29-1 Otsuka, Bunkyo-ku, 112-0012 Tokyo, Japan)

Abstract

In the field of portfolio management, practitioners are focusing increasingly on risk-based portfolios rather than on mean-variance portfolios. Risk-based portfolios are constructed based solely on covariance matrices, and include methods such as minimum variance (MV), risk parity (RP), and maximum diversification (MD). It is well known that the performance of a mean-variance portfolio depends on the accuracy of the estimations of the inputs. However, no studies have examined the relationship between the performance of risk-based portfolios and the estimated accuracy of covariance matrices. In this research, we compare the performance of risk-based portfolios for several estimation methods of covariance matrices in the Japanese stock market. In addition, we propose a highly accurate estimation method called cDCC-NLS, which incorporates nonlinear shrinkage into the cDCC-GARCH model. The results confirm that (1) the cDCC-NLS method shows the best estimation accuracy, (2) the RP and MD do not depend on the estimation accuracy of the covariance matrix, and (3) the MV does depend on the estimation accuracy of the covariance matrix.

Suggested Citation

  • Kei Nakagawa & Mitsuyoshi Imamura & Kenichi Yoshida, 2018. "Risk-Based Portfolios with Large Dynamic Covariance Matrices," IJFS, MDPI, vol. 6(2), pages 1-14, May.
    • Handle: RePEc:gam:jijfss:v:6:y:2018:i:2:p:52-:d:146287
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    References listed on IDEAS

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    Cited by:

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    2. Lucien Boulet, 2021. "Forecasting High-Dimensional Covariance Matrices of Asset Returns with Hybrid GARCH-LSTMs," Papers 2109.01044, arXiv.org.
    3. Kei Nakagawa & Shuhei Noma & Masaya Abe, 2020. "RM-CVaR: Regularized Multiple $\beta$-CVaR Portfolio," Papers 2004.13347, arXiv.org, revised May 2020.
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    6. Giorgio Costa & Roy Kwon, 2020. "A robust framework for risk parity portfolios," Journal of Asset Management, Palgrave Macmillan, vol. 21(5), pages 447-466, September.
    7. Yusuke Uchiyama & Kei Nakagawa, 2020. "TPLVM: Portfolio Construction by Student's $t$-process Latent Variable Model," Papers 2002.06243, arXiv.org.
    8. Gilles Boevi Koumou, 2020. "Diversification and portfolio theory: a review," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 34(3), pages 267-312, September.
    9. Yusuke Uchiyama & Kei Nakagawa, 2022. "Schr\"{o}dinger Risk Diversification Portfolio," Papers 2202.09939, arXiv.org.
    10. Ashfaq, Saleha & Tang, Yong & Maqbool, Rashid, 2020. "Dynamics of spillover network among oil and leading Asian oil trading countries’ stock markets," Energy, Elsevier, vol. 207(C).
    11. Yusuke Uchiyama & Kei Nakagawa, 2020. "TPLVM: Portfolio Construction by Student’s t -Process Latent Variable Model," Mathematics, MDPI, vol. 8(3), pages 1-10, March.

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