On 10th. February, 2006, I performed the analysis repeated in this post, and
also on an earlier post on this blog, looking
at the cumulative kurtosis of the daily changes in interest rates.
Not knowing what to do with the analysis, but concerned about it's possible
implications, I considered writing a letter to the Director of Research at the
Federal Reserve but, in the end, I sent a fax to James Grant, editor of
Grant's Interest Rate Observer, and a noted skeptic of the
glory of centrally planned monetary policy.
In my letter I wrote:
“During the last 20 years the Fed has made everybody happy by
bringing down the volatility of interest rates but we appear to have paid for
this by obtaining a distribution of daily changes substantially more prone to
extreme variation; or, to put this a little more colourfully, that the animal
spirits of interest rates have not been tamed but have undergone a
metamorphosis from prowling tom cat to sleepy tiger.” Graham
Giller, 02/10/2006.
Mr. Grant liked my ‘tom cat/tiger,’ imagery, but I feel I didn't
fully convince him of my main point — that, by supressing the standard
deviation in exchange for a badly controlled kurtosis, policy was running
towards an extreme event that would be truly off-the-charts. However,
the purpose of this post is not to claim some magical ex-ante call for
the decline of western finance as we knew it. It is to re-examine these metrics
and see, in the same manner as before, what story they're telling us.
So let us examine the tail end of the kurtosis curve in the above
chart. This shows how the cumulative sample kurtosis of the one day change in
the yield of U.S. three month treasury bills has been accumulating as each day
of the
Ben Bernanke tenure as Chairman of the Board of Governors of the
Federal Reserve System.
The malfunction of the U.S. financial markets, as indicated by the momentary
pause in the upward ascent of the cumulative kurtosis, appears to have started
after the kurtosis peaked at 30.06 on 08/08/2007 and ended after it had drawn
down to 28.50 on 10/30/2008. The dates we have estimated for the crisis in the
performance of hedge funds, based on our monthly data series of the returns due
to the
dynamic trading risk factor (which is extracted from the returns of hedge funds, are 10/2007 to 11/2008. Since then it has
been steadily marching upwards again, although it has not yet breached that
peak level.
It remains to be seen whether this is indicating that the true population
kurtosis is merely higher than the currently observed value, or whether it is
entirely unbounded above. But this trend is consistent with the hypothesis
that, as far as activity in the interest rate markets is concerned, game is
back on!