April 28th, 2008, 9:12 pm
QuoteOriginally posted by: AlanSNo. Apparently they were using a deterministic model of the underlyings to price these derivatives! Of course, I don't have to explain to anyone on this forum why that is a monumentally stupid thing to do.Is this the main reason for the mess this market is now in?No, I don't think the use of deterministic model is the cause of problem. In fact, I met people who did the simple calculation along the line of home price depreciation (HPA) can fall to -5% => conditional default rate (CDR) can rise to x% => fit to deterministic model (like Intex) and come up with the conclusion that every ABS CDO tranche of under AA should go underwater.... Fancy numerical technique is not a viable solution if the model is badly specified... Let's look at how people model prime mortgage products before moving on to subprime. For prime agency originated mortgage products (CMOs/ MBS), the modelling procedure is well established. Prepayment/ contraction risk are the main concern for CMOs. Credit risk is not that large (prime borrower + mortgage insurance from Fannie Mae/ Freddie Mac). CMO modelling can (and are often) quite fancy. First, you need to model the interest rate path with a horizon of up to 30-40 years. You can use as advanced interest rate model as you like. Then you need to model the relationship between prepayment and the interest rate. After then, you would come up with the cash flow for the underlying mortgage pool. At that point you can distribute the cash according to the waterfall and price the CMO for one possible interest rate path. Since this is path dependent, you need to run Monte Carlo for this, calculate the OAS.... I know people who employed similarly "sophisticated" OAS based solution for subprime but they still blew up. Default risk is the key here. Correlation, prepayment, interest rate modelling are all "noise" here. Since many fixed income people (portfolio managers, risk officers and senior managements) are quite comfortable about prime mortgages, they failed to re-examine the risk characteristics of subprime mortgages when loading their book with such product. The moral hazard of the whole mortgage origination/ securitization process and the failure of the rating agency aggravates the problem.QuoteIs it possible that this whole field of derivative pricing has ignored quant fin techniques completely (don't see any chapter on MBS pricing in Hull, or Wilmott, or Joshi, etc)? Hull, Wilmott, Joshi are good general books. But they can't cover everything. We need to go for more specialised books for this.