With about half the funds having reported, it's now time to update our data and
forecasts for the dynamic trading risk
factor. As is our practice, we're doing this after about 50% of the
fund universe has reported. This gives us an early estimate of a number that is
not much likely to change during the rest of the month. For a variation, I've
fitted the histogram of monthly returns to an
Student's t distribution, rather than my normal usage of the
Generalized Error Distribution.
From the above chart, we are starting to see a deficit of events in the 0%/month
bin and an excess in the 2%/month bin. They are counts of 1 and 11 with an
expectation of approximately 5 in each case. With a Poisson Distribution,
the probability of drawing 1 or fewer events with an expectation of 5 is 4.0%.
The probability of drawing 11 or more is 0.55%. The deficit of may be dismissed
as a binning anomaly; however, the surfeit
at 2% is a little more interesting. We have a less than 1% probability of this
occuring by chance. Furthermore, 2% is a suspiciously round number. Going
forward, we shall have to watch this bin with interest.
Out-of-sample, our final forecast of
the return for June, 2009, was 2.17% (our early forecast
was 2.11%), and the realization was 1.03%. At this point, we are
forcasting a 0.75% return for July. These forecasts represent an a priori
expected monthly return for any fund or firm that makes it's living by trading.