May 24th, 2005, 4:16 pm
Hi,Apologises late reply. -1/(n-1) is for the average, so non-homogeneity shouldn't be an issue. If correlation were to go through this level, or as you rightly put it, the protection price above, one would sell the option/protection if comfortable with the Gaussian Copula assumptions. Under it's assumptions, the market is complete, and so the arbitrage would flow through the hedge.Of course, in reality, the market is not complete and there would be no arbitrage: one would have to seriously question the assumptions. I can imagine a large number of relative value ideas though.Interestingly enough, I think the key assumption that fails is actually not the coupling itself, Gaussian or whatnot, but more so the implied assumptions on the marginals: this is where the market fails to provide adequate hedges. The standard model is in essence a structural model where defaults can only happen through a diffusion to a barrier. While jumps-to-default may not really exist, some kind of jump in the asset process definitely exists: the standard model, in the way marginals are calibrated to CDS spreads, does not account for this. Then, there is also the issue of time homogeneity.Regards