| We will try to predict the
evolution of the ups and downs. In the following
pictures in red is shown the DJIA up/down time
series, in black the prediction. Other lines are
predictions with non optimal parameter set and
are depicted in order to show sensitivity to
parameter shift. All predictions are computed
after the close of the first day showed on the X
axis of each picture. 

Beginning with Oct 05th
we can appreciate that the predictor captures the free evolution well
up to the 5th day showing the right market
direction of 8 trading days.

Oct 06th: the
prediction is still good in the near future
showing that the trend is downward.

Oct 07th: This is the
true beginning of the crash. The predictor shows
a falling for 3 or 4 more days and a rebound
afterward.

Oct 08th: the
prediction still holds for one day but then the
rebound that the system predicts does not show
up.

Oct 09th: the
prediction captures the last changes in the
market allowing two more days of accuracy.

Oct 12th: the
prediction is valid one day and then an
unexpected fall begins.

Oct 13th: the predictor
in unable to follow the changes and fails to
predict the subsequent fall. From our point of
view this day there was an event not related with
the inner dynamics of the market, which forced
the DJIA to continue falling.

Oct 14th: the predictor
cannot assume that a negative trend is at work.

Oct 15th: the negative
trend continues and the systems fails again to
predict it.

Oct 16th: this is the
last close before the big drop. The system begins
to show erratic behavior.

Oct 19th: the big crash
takes place and the rebound of the market
arrives. The system was expecting this take over
before, which means that the market, due to
external circumstances, exaggerated the fall. The
predictor shows now a good agreement with the
trend that follows.

Oct 20th: the predictor
shows erratic behavior with a little growing. The
same as the market. No defined trend yet.

Oct 21st: No trend yet
defined.

Oct 22nd: finally the
trend shows up on the predictor.

Oct 23rd: the trend is
now well defined. Buying is recommended.

Oct 26th: buying and
holding positions is recommended.

Oct 27th: buying or
holding is recommended.

Oct 28th: the trend
continues. Buying or holding positions is
recommended.

Oct 29th: the trend
continues.

Oct30th: The predictor
still shows trend.

From this analysis it
can be inferred that this crash occurred as a
continuation of a standard downturn of the
market, that our predictor could capture very
well. The anomalous period from our standpoint is
from Oct 13th to Oct 15th. Those days, maybe due
to guarantee reposition, the market exaggerated
the fall beyond the usual limits imposed by its
own dynamics.
We are not aware that
news affecting the market behavior arrived any of
those three days, and we conclude that the
guarantee reposition can be looked as the
external shock causing this anomaly because it is
a rare event that is not taken into account by
our prediction system as a typical behavior.
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