How is Crash Metrics deal
How is Crash Metrics deal?
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Crash Metrics deals with any number of underlying through exploiting the high degree of correlation during extreme markets among equities. We can relate the return on the ith stock to the return upon a representative index, x, in a crash by
δSi/Si = kiX,
Here κi is a constant crash coefficient. For illustration, if the kappa for stock XYZ is 1.2 this means that while the index falls by 10% XYZ will fall by 12%. Therefore, the crash coefficient permits a portfolio with many underlyings to be interpreted during a crash as a portfolio on a single underlying, the index. Therefore we consider the worst case of
δΠ= F(δS1, ... , δSN) = F(κ1xS1, ... , κNxSN) like our measure of downside risk. Note that it is really just a function of the one variable x and therefore it is very easy to plot change in the portfolio against x, and the return on the index.
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