August 19th, 2005, 1:06 pm
Actually, I found it difficult to obtain reasonable prices using copula based models from the corp synth tranches on tranches of ABS backed cash-flow CDOs. I wonder if the binary prepayment-of-recovery events of those models are appropriate to mimic the dynamics of an ABS backed CDO. In those trades prepayments may, depending on the waterfall reduce the outstanding amount of tranches, excess interest on the asset side may be used to repay principal on the liability side.We played around with a lot of applications out there. If you start modelling cash-flows on the third-level underlying collateral, using intex or applications that link to intex, you would derive cash-flows based on default and recovery assumptions driven by macro-oeconomic parameters (housing-turnover, interest-rates etc.). Then you'd push those cash-flows trough a waterfall and could derive a valuation for your tranche. It would not make sense to simulate defaults again on the second-level collateral, since you already accounted for this by assuming a default rate for the credit-card or mortgage pools underneith the ABS collateral that gets referenced by your CDO-tranche.I'd be very interested to learn if anybody figured out how to skip the step of looking at cash-flows on third-level and just employing somespread based copula model that yields reasonable prices or can describe how they deal with ABS CDOs.