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Examination on the Relationship Between VHSI, HSI and Future Realized Volatility With Kalman Filter

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  • Yanhui Chen

    (City University of Hong Kong)

  • Kin Keung Lai

    (City University of Hong Kong)

Abstract

Hang Seng Index Volatility (VHSI) is a new barometer to research the variance of Hang Seng Index (HSI). This paper first explores how VHSI changes are influenced by HSI returns dynamically. The time-varying coefficients achieved by Kalman filter indicate a negative and asymmetric contemporaneous relationship between VHSI changes and HSI returns. More importantly, we find that this asymmetric effect is stronger in Hong Kong than that in US since the investors are more sensitive to negative returns. Second, this paper studies the relationship between VHSI and the future realized volatility of HSI, and predicts the future realized volatility of HSI with Kalman filter. The empirical findings suggest that VHSI is an unbiased and efficient estimate of the future realized volatility and includes information of the future realized volatility when employing monthly data. In addition, the predication performance of Kalman filter is better than linear regression model.

Suggested Citation

  • Yanhui Chen & Kin Keung Lai, 2013. "Examination on the Relationship Between VHSI, HSI and Future Realized Volatility With Kalman Filter," Eurasian Business Review, Springer;Eurasia Business and Economics Society, vol. 3(2), pages 200-216, December.
    • Handle: RePEc:spr:eurasi:v:3:y:2013:i:2:d:10.14208_ebr.2013.03.02.005
    DOI: 10.14208/ebr.2013.03.02.005
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    6. Yam Wing Siu, 2018. "Volatility Forecast by Volatility Index and Its Use as a Risk Management Tool Under a Value-at-Risk Approach," Review of Pacific Basin Financial Markets and Policies (RPBFMP), World Scientific Publishing Co. Pte. Ltd., vol. 21(02), pages 1-48, June.
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