November 11th, 2003, 8:50 am
QuoteOriginally posted by: pb273Copulas can be used to model joint distribution of multiple securities. Their most commonly reported academic usage is for risk-management in credit derivatives, insurance and event risk areas - however it doesn't do justification to the uses that it can be put to. It can be used to pair trading and statistical arbitrage modeling. Two of the most common types of copulas are the archimedian copulas and the elliptical copulas. For stocks in sectors where is a linkage or significant degree of co-movement (eg. software, semiconductor etc), elliptical copulas can be used to model joint movement. In sectors, where there is a lot of event risk of individual stocks, ex. say pharma companies which can rise or fall depending on whether it got some drug approval or won some court case on a pending patent litigation etc, archimedian copulas can be used. Now the question that can arise is "okay! i modelled the joint movement by a copula, now how do i make money out of them?" - one way which can be explored ... is to define a boundary within which say 90% of the time the joint movement lies, for instance an ellipse in the case of an elliptical copula and then whenever the joint-movement of the securities is outside the ellipse one can use options+futures (not pure futures as they are linear) and possibly other non-linear derivatives (barriers etc) that will make money if the joint-movement travels within the ellipse after some time etc .Hello pb273Could you explain your idea about how to make money out of them in more details please?