Pitfalls in Tests for Changes in Correlations
Brian H. Boyer
Brigham Young University - J. Willard and Alice S. Marriott School of Management
Michael S. Gibson
Federal Reserve Board
IMF Institute, International Monetary Fund
FRB International Finance Discussion Paper No. 597
Correlations are crucial for pricing and hedging derivatives whose payoff depends on more than one asset. Typically, correlations computed separately for ordinary and stressful market conditions differ considerably, a pattern widely termed "correlation breakdown." As a result, risk managers worry that their hedges will be useless when they are most needed, namely during "stressful" market situations.
We show that such worries may not be justified since "correlation breakdowns" can easily be generated by data whose distribution is stationary and, in particular, whose correlation coefficient is constant. We make this point analytically, by way of several numerical examples, and via an empirical illustration.
But, risk managers should not necessarily relax. Although "correlation breakdown" can be an artifact of poor data analysis, other evidence suggests that correlations do in fact change over time, though not in a way that is correlated with "stressful" market conditions.
JEL Classification: G10working papers series
Date posted: February 10, 1998
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