October 25th, 2012, 9:43 pm
I think this is usually motivated by standardization -- fit the market data every day to find a set of fixed term zero rates so that you are calibrating your process to a consistent historical data set. This is not always a good idea of course... Also I think some of these vendors are hopelessly stuck in the 80s.I ran into the same problem with forecasting par swap rates with OU processes -- be careful with the mean reversion parameters, they can have a large impact on this issue and typically cannot be consistently estimated using historical return data: the values are almost always statistically insignificant (mean reversion typically over years that you are trying to estimate using daily returns). A bit of creativity with setting mean reversion seemed to make this problem largely go away (i.e., there weren't 'too many' obviously ridiculous scenarios).Try doing a best fit to market implied--that also seemed to keep the problem at bay...