April 26th, 2004, 6:56 am
Some excellent questions here - I'm glad I joined!Bid/offers are very interesting. What we have done, for now is to use the (tranche and traded index) mid spread, and calculate the mid Base Correlations from that.There are some possible extensions. Calculate Bid Correlations from Bid spreads (not quite an arbitrage scenario, but equivalent value), and ask correlations from ask spreads.Alternatively, it would be possible to build an arbitrage position where long risk 0-3 + long risk 3-6 + short risk 0-6 must be arbitrage free. The problem with this is that the bid/offers tend to get very wide very quickly. An improvement may be to come from both ends (0-x and x-100) at the same time.One interesting point is that the Base Correlation methodology fails if the total losses in the tranches so far is greater than those in the portfolio. (To me this is like Black Scholes failing to calculate an implied vol if option price is less than intrinsic value). This tends to happen at current bid/offer spreads for the most senior tranches if you use offers only...And yes, to emphasise mrowell's points, you do need to use a full curve ideally, which aren't published, but even if you took only 100 single name 5 year points (and ignored different recovery rates for now) you would still struggle.The names in these tranches indices are the most liquid and most traded in the market, but the bid offers are still around 5bp on each name. (We often disagree with other dealers in our calculation of the "basis to theoretical" in the unleveraged indices, which is due to different dealers not agreeing on the single name spreads at an instant.)Moreover, single name sensitivities only matter most when there is a single name blow up, and at that time price discovery is very difficult. We have a good history of this as Parmalat moved to its Credit Event last year - typical bid offer spreads were 5-10 points (CDS was traded upfront only). But as I said before, there is no right way to do this. I hope we've come up with a usable and useful methodology, but we are very happy to keep the discussion going, and adopt whatever becomes the consensus.RegardsLee