The Forecasting Systems Letter Jeffrey Mishlove
Market "Phase Shift" Reflected in Breakdown of
Leading Indicators
Last October, I reported on a number of variables that appeared to be viable leading indicators of the S&P500 futures contract. How have these indicators fared since that time? Let's take a look. The single strongest leading indicator was reported on October 24, 2002. It was the four-period Williams R indicator. This indicator compared the high and the low against the highest high and lowest low of the last n number of days. The following chart, from BioComp Profit's "Chart It" function shows the profitability of this indicator since October 24 -- trading a single S&P contract: Four-period WinPctR as a Leading Indicator of the S&P Futures Contract Since October 24, 2002 Here we can see that this indicator continued to function
profitably until about the end of 2002 -- but has functioned at no better
than chance levels since that time.
One of the other best leading indicators about which I reported last October was the special BioComp Profit variable called WinPctB(7). This variable compares prices to the upper and lower Bollinger Bands, calculated over a 7-day period. The chart below shows how that variable has fared over the past six months: Seven-period WinPctB Variable (*-1) as a Leading Indicator of the S&P500 Futures Contract Since Oct 24, 2002 Again, we can see that this variable functioned profitably
until about the beginning of 2003. Thereafter results appear to be
at levels no better than chance.
Another leading indicator that looked promising on October 24, 2002, was the simple Sine function of the S&P contract price. The chart below shows that this variable has made a definite reversal in its predictive value: Sine of the S&P Futures Contract Price as a Leading Variable Another interesting leading variable was the reverse
of the S&P contract price change. On October 24, I reported that
this variable attained steady positive equity during the period beginning
January 1, 1997. Since then, however, it has also shown a distinct
reversal as demonstrated in the chart below:
S&P Contract Price Changes (*-1)(Binary +/-) As a Leading Indicator How are we to interpret the inability of these leading
indicators to continue their performance in 2003? Perhaps, they were
never valid indicators in the first place -- but simply random discoveries
of my own search process. Perhaps, they will kick-in again later this
year. One might argue that the war in Iraq caused a disruption in the
normal market functioning. Or one could argue that a phase shift in
the market took place at about the end of 2002. Perhaps the most reliable
conclusion we can draw is simply that, whatever their cause, the market is
subject to shifts of this sort. Effective forecasting systems, therefore,
need to be flexible and to be able to learn from the market as it shifts.
This is one reason why I learn towards neural network software -- as
it has the potential to shift with the market.
Breakdown of the Volatility Breakout
System Reported Last Year
The concept of a market "phase shift" having occurred
toward the end of 2002 receives further support from the data I now have
concerning the Volatility Breakout System that I had been reporting on last
year. Between October 17 and October 31, 2002, the system had executed
three trades (of the S&P futures contract) for a modest profit of $4,337.
Since that time, the system has executed seventeen additional trades for an accumulated loss of $27, 360. The following chart, produced in Ward Systems NeuroShell Trader Professional shows the trades executed by this system: Trades executed since 10/30/02 by the Volatility Breakout System This chart is a little hard to read. The solid
red and blue triangles indicate positions that were opened. The hollow
triangles specify price targets for closing each position. If those
targets are not achieved, a new target is set for the following day, until
the position is closed out.
The system that I am presenting below is typical of what one can create using BioComp Profit Professional. The input variables include a mixture of (a) technical measures of the S&P contract price change, (b) OEX options data, (c) advance-decline data for the NYSE and Nasdaq, (d) data on major foreign stock indices, (e) bond market data, and (f) data on related commodity prices. A total of 27 different input variables were used. The neural meshes were trained in the same manner reported in the two previous editions of this Letter, on time-series data starting in January 1999 and running through January 26, 2003. Profit was programmed to generate 2500 different neural models, saving the best 200 of these for a composite system. The chart below shows the out-of-sample results, starting January 26, 2003. Neural Mesh System "0304" Out-of-Sample Test Results As one can see, this system performed very well, indeed, up until about a month ago. Since then, it has lost about $10,000 in equity -- but still remains a healthy performer overall. I would expect that this system still has some life left in it. But, of course, nothing is assurred. The image below shows the statistics for this system that I have labelled "0304." Neural Mesh System "0304" Statistics In spite of an impressive 78.57% hit rate on trades, this system has produced a drawdown of almost $16,0000 in the past ten weeks, lasting twenty-five bars. The ratio of equity to maximum drawdown is about 2. However, the relatively short out-of-sample period makes it especially difficult to draw any conclusions from these statistics. For my own purposes, a neural network system like this is not tradeable by itself. I would rather use it as part of a "mega-system" as I have previously described (see October 24, 2002).
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