September 4th, 2002, 3:17 pm
Hello again,Thanks for the reply, Johny.Basically I am forgetting for a second about the term structure modelling, looking just at the real data for LIBOR, and here are my "additional" thoughts:- if we start off with a combination of expectations & liquidity theory, then the "normal" shape for the yield curve should be upward-sloping; it doesn't mean the rates will go up (although if we do a simple excercise of building an implied forward yield curve + interpolate for the longer maturities it will imply rising rates forever, or am i wrong? isn't it also a drawback for some of the models?), however when the spread between maturites shrinks below the liquidity premium, or the curve reverses, it signals that the markets expect the rates to go down; now this all is trivial, but don't you think these reshapings tend to occur after the "jumps"? (haven't done a thorough statistic analysis on that, but historical data seems to support the idea). Otherwise there are lengthy periods of combined relatively low-volatility-parallel-movement type of dynamics.- all said above would imply a kind of multi-factor (or a self-modifying single factor) model which would not only allow for the jumps on economic days, but also for increased probability for changes in the subsequent shape of the whole interest rate curve. - one of the implementations allowing for such "feed-back", could actually incorporate jumps through the mean term and do e.g. the following: if the current shape of the curve implies increase in the rates, then the probability of an upward jump (say fixed of +25BP or +50BP, depending on the spread) is greater and if such occurs, then the curve reshapes into a "normal" position; if the jump doesn't occur, then the original shape is maintained. That of course, along other things, assumes that the CB doesn't like to surprise the market (which is of course not always true but you could leave some back-door for such possibilities as well), but could be a starting point for implementing the model.Ok, such model is cumbersome enough already to be useless (), but don't you think such feed-back relationship between jumps and the subsequent shape is quite realistic?Eager to hear your opinions.Daniel