Journal of Risk

Risk.net

General covariance, the spectrum of Riemannium and a stress test calculation formula

Piotr Chmielowski

ABSTRACT

The formula is motivated by some recent and some old developments in random matrix theory and a requirement that it be explicitly invariant under a change of basis of risk factors. It may naturally be interpreted as the standard deviation stressed by two effects: a correlation shear due to uncertainty of estimation from a finite sample and an additional stress due to unobserved market risk factors. An example application for a relative-value portfolio of crude oil futures is presented.

Sorry, our subscription options are not loading right now

Please try again later. Get in touch with our customer services team if this issue persists.

New to Risk.net? View our subscription options

You need to sign in to use this feature. If you don’t have a Risk.net account, please register for a trial.

Sign in
You are currently on corporate access.

To use this feature you will need an individual account. If you have one already please sign in.

Sign in.

Alternatively you can request an individual account here