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The numbers for Gene 3 were 5, 940, 47, and 610. Rule template 5 (case 5), which is the open-interest incline rule, was specified by the first number. Fully instantiating this rule reveals that the rule evaluates as TRUE if the market s open interest has risen at least 5.6% in the past 44 days. If the conditions for all three rules, specified by Genes 1 through 3, were met on a given bar, a buy signal was generated. It is interesting that two rules involved open interest, a variable not usually considered in many popular approaches to trading. It is also noteworthy that the two open-interest rules, when put together, seem almost contradictory: The current open interest had to be greater than the open interest 44 bars ago, but less than the open interest 34 bars ago. The model appears to be somewhat trend-following in that a recent closing price had to be greater than an older closing price before an entry was taken. However, time was left for a small pull-back; i.e., the increase in price only had to be observed 3 bars ago, not in the current bar. The set of rules is not one that would be easy to discover in a normal manner, without the aid of a genetic algorithm.

Figure 7-1

A similar analysis can be done for the shorts as for the longs. The numbers corresponding to the chromosome that represented the best

Any data entered into the microsite are stored immediately in the database. Also, the database provides the lookup table for the PIN codes that may be contained in the outgoing email or direct-mail promotions. There are editing procedures stored in the microsite software that keep erroneous data from being entered. As a result: U.S. zip codes are always numbers, and Canadian postal codes are letters and numbers. Phone number area codes always match the address. Email names given by customers are always correct because the responder gets a reward that is distributed by email. The site does not accept erroneous product codes. Dates, ages, and incomes are always within reasonable limits. For example, customers ages are not listed as being over 120 years, and birth dates are not later than today. Data are converted to the proper case, usually upper- and lowercase. Finally, the microsite always has a seamless link to the company s main Web site.

Minerals are basic elements that come from the soil and cannot be made by plants or other living systems. Several minerals are essential to body function. They are calcium, phosphorus, magnesium, sulfur, zinc, iron, and iodine. We also need small amounts of important trace minerals. Much is known about copper, chromium, fluorine, manganese, molybdenum, selenium, and vanadium, but there is very little scientific data on other trace minerals such as arsenic, cadmium, cobalt, nickel, silicone, and tin. Not surprisingly, we get most of these minerals from plants that depend on the soil and animals that depend on the plants for survival. You can imagine that the mineral content of plants varies a lot

solution for short entries at the open were 5, 890, 391, and 532 (Gene 1); 5,705, 760, and 956 (Gene 2); and 10, 163,999, and 196 (Gene 3). When the string of three genes was translated, it was revealed that two rules deal with open interest and one with the MACD oscillator. The first open-interest role states that the open interest 1 bar ago must be at least 38% greater than the open interest 38 bars ago. The second open-interest rule states that the open interest 1 bar ago must be at least 75% greater than the open interest 25 bars ago. The third rule states that the slope of the MACD-with a shorter moving average length of 2 and a longer moving average length of 50-must be down, suggesting a current downward trend. If the conditions for all three rules, specified by the three genes, were met on a given bar, a sell signal was generated. Again, these rules would not have been easily discovered when developing a trading model in a more traditional manner.

Mail Incoming costs Data entry Cost per 100,000 Time in weeks Information gained Possible errors Interactivity Personalization $0.35 $0.60 $95,000 3 Medium Moderate None None Email $0.00 $0.60 $60,000 1 Medium Moderate None None Fax $0.15 $0.60 $75,000 1 Low High None None Phone $0.70 $3.50 $420,000 0 High Low Very high High Web $0.00 $0.00 $0 0 Highest Very low High High

As was the case in our earlier study, the use of a GA to select and instantiate rule templates continued to work well as a means of developing a trading system, or, at least, an entry model. Results were still impressive, despite such problems as inadequate numbers of trades in many of the solutions generated. The approach is certainly one that can serve as the basis for further development efforts. In this exercise, only a small base of rule templates, involving such fairly simple elements as price comparisons, moving averages, and indicators, were used. Undoubtedly, much better results could be obtained by using a more sophisticated and complete set of role templates as grist for the genetic mill.