Structured

Random recovery model would increase tranche liquidity, says Merrill Lynch

Wednesday, January 21, 2009

In its latest Credit derivatives strategy report, Merrill Lynch analyses recent developments in structured credit modelling. Among the recent efforts to add stochastic recovery to the standard Gaussian copula, it says that the Amraoui & Hitier model, published last year, seems to be the simplest to implement.

By contrast with existing models, which use fixed recovery assumptions, the Amraoui & Hitier model is able to calibrate all base correlations, since it generates random recoveries within a defined range.

For more than a year, established copula models have been unable to calibrate correlation for several tranches because of price moves. One way to get around this problem, which affects the senior part of the capital structure in particular, has been to use a lower standard recovery input. However, as the report points out, fixing recoveries at low levels is not realistic and the ambiguity where they are fixed makes this approach quite arbitrary. The random recovery model also gets around another failure of current models, which is that they are unable to generate a positive delta for the 15-30% tranche of CDX NA IG.

The report concludes that the Amraoui & Hitier model would contribute to increasing liquidity in the tranche market if it is widely adopted by market participants.


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Comment by: Gary Kendall. Posted 3 years ago

Given that changing the model would change the deltas in a roughly equivalent way for both bespoke tranches and index tranches, I do not think that that there would be any direct influence on index tranche prices. What it will affect is the single name hedges which may need substantially rebalancing though which way this will pull prices depends on the inventory that needs re-hedging.

Comment by: Anonymous. Posted 3 years ago

What should be the consequences if banks start using this model for hedging their bespoke books ? The AH model implies lower SS deltas and higher mezz deltas -> What will be the consequences for index tranche prices ?

Comment by: . Posted 3 years ago

In view of the continuing widening of senior IG tranche spreads, a very timely assessment of what is an intuitive enhancement of the standard base correlation framework. Independent implementations of this model such as CDO2, should make calibration discrepancies easier to reconcile.

Comment by: Doug Vestal. Posted 3 years ago

This model is inconsistent. Adding stochastic recovery to a model which is not arbitrage free, lacks dynamics, and has no clear economic or financial motivation is simply a way to improve the fit by adding another parameter. Those who are interested in a bottom-up dynamic arbitrage-free stochastic recovery model where recovery is correlated with default and all maturities are treated simultaneously might want to talk to Julius Finance.

Comment by: Rohan Douglas. Posted 3 years ago

This is one of the first new models that we have seen broadly taken up by the larger banks. It does not solve every problem but is a very attractive incremental evolution of the standard gaussian copula model that addresses problems with calibration, negative deltas, and super senior pricing. Quantifi's release of this new model was covered in the September issue of Creditflux.

Comment by: Gary Kendall. Posted 3 years ago

I agree that some transparency is needed here. Since many participants have shifted to stochastic recovery models, it has become very difficult to compare quoted correlations on a like-for-like basis. They are spot on with their view that the BNP Paribas model (Amraoui and Hitier) is the clearest implementation. The fact that it preserves the expected recovery rate consistently with single name bootstrapping - which is lost with a simple mark-down approach - was the main reason that we chose it for our implementation.

Comment by: Saul Haydon Rowe. Posted 3 years ago

This is a welcome proposal, although there is no one model to cope with all structures, underlyings and attachment points. In our experiece, deals should be modelled using a number of different models and assumptions to get an envelope of possible values.

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