A New Tail-Based Correlation Measure and its Application in Global Equity Markets

42 Pages Posted: 18 Jan 2019 Last revised: 19 Jan 2019

Date Written: January 17, 2019


The co-dependence between assets tends to increase when the market declines. This paper develops a correlation measure focusing on market declines using the expected shortfall (ES), referred to as the ES-implied correlation, to improve the existing value at risk (VaR)-implied correlation. Simulations which define period-by-period true correlations show that the ES-implied correlation is much closer to true correlations than is the VaR-implied correlation with respect to average bias and root-mean-square error. More importantly, this paper develops a series of test statistics to measure and test correlation asymmetries, as well as to evaluate the impact of weights on the VaR-implied correlation and the ES-implied correlation. The test statistics indicate that the linear correlation significantly underestimates correlations between the US and the other G7 countries during market downturns, and the choice of weights does not have significant impact on the VaR-implied correlation or the ES-implied correlation.

Keywords: Capital Markets and Capital Flows, Securities Markets Policy & Regulation, Capital Flows

Suggested Citation

Liu, Jinjing, A New Tail-Based Correlation Measure and its Application in Global Equity Markets (January 17, 2019). World Bank Policy Research Working Paper No. 8709. Available at SSRN: https://ssrn.com/abstract=3317969

Jinjing Liu (Contact Author)

World Bank ( email )

1818 H Street, NW
Washington, DC 20433
United States

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