A stress test to incorporate correlation breakdown

Abstract

The authors introduce the broken arrow stress test, in which they estimate correlation levels in stress situations and apply these correlation levels to arrive at the expected loss for the peripheral assets in the stress test. To identify correlation in stress situations, the joint distribution of core and peripheral assets is specified as a mixture of normals. For the majority of cases, the asset returns are drawn from a normal distribution with lower volatility and one level of correlation; on rarer hectic days, the asset returns are drawn from a different normal distribution, with higher levels of volatility and a second correlation level. In the example presented, stressed correlation levels illustrate significant changes in correlation for four of the 18 markets examined. The broken arrow stress test produces a more reasonable expected loss estimate than other parametric methods and does not present the problem with the idiosyncrasies seen with historical stress tests.