Category Archives: EasyLanguage Tutorial

Turn of the Month Trading Strategy [Stock Indices Only]

The System

This system has been around for several years.  Its based on the belief that fund managers start pouring money into the market near the end of the month and this creates momentum that lasts for just a few days.  The original system states to enter the market on the close of the last bar of the day if the its above a certain moving average value.  In the Jaekle and Tomasini book, the authors describe such a trading system.  Its quite simple, enter on the close of the month if its greater than X-Day moving average and exit either 4 days later or if during the trade the closing price drops below the X-Day moving average.

EasyLanguage or Multi-Charts Version

Determining the end of the month should be quite easy -right?  Well if you want to use EasyLanguage on TradeStation and I think on Multi-Charts you can’t sneak a peek at the next bar’s open to determine if the current bar is the last bar of the month.  You can try, but you will receive an error message that you can’t mix this bar on close with next bar.  In other words you can’t take action on today’s close if tomorrow’s bar is the first day of the month.  This is designed, I think, to prevent from future leak or cheating.  In TradeStation the shift from backtesting to trading is designed to be a no brainer, but this does provide some obstacles when you only want to do a backtest.

LDOM function – last day of month for past 15 years or so

So I had to create a LastDayOfMonth function.  At first I thought if the day of the month is the 31st then it is definitely the last bar of the month.  And this is the case no matter what.  And if its the 30th then its the last day of the month too if the month is April, June, Sept, and November.  But what happens if the last day of the month falls on a weekend.  Then if its the 28th and its a Friday and the month is blah, blah, blah.  What about February?  To save time here is the code:

Inputs: movAvgPeriods(50);
vars: endOfMonth(false),theDayOfWeek(0),theMonth(0),theDayOfMonth(0),isLeapYear(False);

endOfMonth = false;
theDayOfWeek = dayOfWeek(date);
theMonth = month(date);
theDayOfMonth = dayOfMonth(date);
isLeapYear = mod(year(d),4) = 0;

// 29th of the month and a Friday
if theDayOfMonth = 29 and theDayOfWeek = 5 then 
	endOfMonth = True;
// 30th of the month and a Friday
if theDayOfMonth = 30 and theDayOfWeek = 5 then 
	endOfMonth = True;
// 31st of the month 	
if theDayOfMonth = 31 then 
	endOfMonth = True;
// 30th of the month and April, June, Sept, or Nov
if theDayOfMonth = 30 and (theMonth=4 or theMonth=6 or theMonth=9 or theMonth=11) then 
	endOfMonth = True;
// 28th of the month and February and not leap year
if theDayOfMonth = 28 and theMonth = 2 and not(isLeapYear)  then 
	endOfMonth = True;
// 29th of the month and February and a leap year or 28th, 27th and a Friday	
if theMonth = 2 and isLeapYear then
Begin
	If theDayOfMonth = 29 or ((theDayOfMonth = 28 or theDayOfMonth = 27) and theDayOfWeek = 5) then 
	endOfMonth = True;	
end;
// 28th of the month and Friday and April, June, Sept, or Nov
if theDayOfMonth = 28 and (theMonth = 4 or theMonth = 6 or 
	theMonth = 9 or theMonth =11) and theDayOfWeek = 5 then
	endOfMonth = True;
// 27th, 28th of Feb and Friday	
if theMonth = 2 and theDayOfWeek = 5 and theDayOfMonth = 27 then
	endOfMonth = True;
// 26th of Feb and Friday and not LeapYear
if theMonth = 2 and theDayOfWeek = 5 and theDayOfMonth = 26 and not(isLeapYear) then
	endOfMonth = True;	
// Memorial day adjustment
If theMonth = 5 and theDayOfWeek = 5 and theDayOfMonth = 28 then
	endOfMonth = True;
//Easter 2013 adjustment
If theMonth = 3 and year(d) = 113 and theDayOfMonth = 28 then
	endOfMonth = True;
//Easter 2018 adjustment
If theMonth = 3 and year(d) = 118 and theDayOfMonth = 29 then
	endOfMonth = True;	

if endOfMonth and c > average(c,movAvgPeriods) then	
	Buy("BuyDay") this bar on close;

If C <average(c,movAvgPeriods) then 
	Sell("MovAvgExit") this bar on close;
If BarsSinceEntry=4 then 
	Sell("4days") this bar on close;
Last Day Of Month Function and Strategy

All the code is generic except for the hard code for days that are a consequence of Good Friday.

All this code because I couldn’t sneak a peek at the date of tomorrow.  Here are the results of trading the ES futures sans execution costs for the past 15 years.

Last Day Of Month Buy If C > 50 Day Mavg

What if it did the easy way and executed the open of the first bar of the month.

If c > average(c,50) and month(d) <> month(d of tomorrow) then 
	buy next bar at open;

If  barsSinceEntry >=3 then 
	sell next bar at open;

If marketPosition = 1 and c < average(c,50) then 
	sell next bar at open;
Buy First Day Of Month
First Day of Month If C > 50 Day Mavg

The results aren’t as good but it sure was easier to program.

TradingSimula-18 Version

Since you can use daily bars we can test this with my TradingSimula-18 Python platform.  And we will execute on the close of the month.  Here is the snippet of code that you have to concern yourself with.  Here I am using Sublime Text and utilizing their text collapsing tool to hide non-user code:

Small Snippet of TS-18 Code

This was easy to program in TS-18 because I do allow Future Leak – in other words I will let you sneak a peek at tomorrow’s values and make a decision today.  Now many people might say this is a huge boo-boo, but with great power comes great responsibility.  If you go in with eyes wide open, then you will only use the data to make things easier or even doable, but without cheating.  Because you are only going to cheat yourself.  Its in your best interest do follow the rules.  Here is the line that let’s you leak into the future.

If isNewMonth(myDate[curBar+1])

The curBar is today and curBar+1 is tomorrow.  So I am saying if tomorrow is the first day of the month then buy today’s close.  Here you are leaking into the future but not taking advantage of it.  We all know if today is the last day of the month, but try explaining that to a computer.  You saw the EasyLanguage code.  So things are made easier with future leak, but not taking advantage of .

Here is a quick video of running the TS-18 Module of 4 different markets.

 

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Ratio Adjusted versus Point Adjusted Contracts in TradeStation Part 2

Thomas Stridsman quote from  his “Trading Systems That Work Book”

The benefits of the RAD contract also become evident when you want to put together a multimarket portfolio…For now we only state that the percentage based calculations do not take into consideration how many contracts you’re trading and, therefore, give each market an equal weighting in the portfolio.

The Stridsman Function I presented in the last post can be used to help normalize a portfolio of different markets.  Here is a two market portfolio (SP – 250price and JY -125Kprice contract sizes) on a PAD contract.

1-Contract SP and JY on PAD data

Here is the performance of the same portfolio on a RAD contract.

Equal rating of SP and JY on RAD data

 

The curve shapes are similar but look at the total profit and the nearly $125K draw down.  I was trying to replicate Thomas’ research so this data is from Jan. 1990 to Dec. 1999.  A time period where the price of the SP increased 3 FOLD!  Initially you would start trading 1 JY to 2 SP but by the time it was over you would be trading nearly 3 JY to 1 SP.  Had you traded at this allocation the PAD numbers would be nearly $240K in profit.  Now this change occurred through time so the percentage approach is applied continuously.  Also the RAD data allows for a somewhat “unrealistic” reinvestment or compounding mechanism.  Its unrealistic because you can’t trade a partial futures contract.  But it does give you a glimpse of the potential.  The PAD test does not show reinvestment of profit.  I have code for that if you want to research that a little bit more.  Remember everything is in terms of Dec. 31 1999 dollars.  That is another beauty of the RAD contract.

Another Stridsman Quote

Now, wait a minute, you say, those results are purely hypothetical.  How can I place all the trades in the same market at presumably the same point in time?  Well, you can’t, so that is a good and valid question; but let me ask you, can you place any of these trades for real, no matter, how you do it?  No, of course not.  They all represent foregone opportunities.  Isn’t it better then to at least place them hypothetically in today’s marketplace to get a feel for what might happen today, rather in a ten-year-old market situation to get a feel for how the situation was back then?  I think wall can agree that it is better to know what might happen today, rather than what happened ten years ago.

That is a very good point.  However, convenience and time is import and when developing an algorithm.  And most platforms, including my TS-18, are geared toward PAD data.  However TS-18 can look at the entire portfolio balance and all the market data for each market up to that point in time and can adjust/normalize based on portfolio and data metrics.  However, I will add a percentage module a little later, but I would definitely use the StridsmanFunc that I presented in the last post to validate/verify your algorithm in today’s market place if using TradeStation.

Email me if you want the ELD of the function.

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Ratio Adjusted versus Pointed Adjusted Contracts in TradeStation – Part 1

If you play around with TradeStation’s custom futures capabilities you will discover you can create different adjusted continuous contracts.  Take a look at this picture:

Panama vs Ratio Adjusted

Both charts look the same and the trades enter and exit at the same locations in relation to the respective price charts.   However, take a look at the Price Scale on the right and the following pictures.

As you can see from the P/L from each trade list there is a big difference.  The top list is using RAD and the second is the generally accepted Panama Adjusted Data (PAD.)  Ratio adjusted data takes the percentage difference between the expiring contract and the new contract and propagates the value throughout the entire back history.  This is different than the PAD we have all used, where the actual point difference is propagated.  These two forms of adjustment have their own pros and cons but many industry leaders prefer the RAD.  I will go over a little bit of the theory in my next post, but in the mean time I will direct you to Thomas Stridsman’s excellent work on the subject in his book, “Trading Systems That Work – Building and Evaluating Effective Trading Systems”.

Here is another look at draw down metrics between the two formats.

RAD V PAD DrawDown

Who would want to trade a system on 1 contract of crude and have a $174K draw down?  Well you can’t look at it like that.  Back in 2008 crude was trading at $100 X 1000 = $100,000 a contract.  Today May 11th 2020 it is around $25,000.  So a drawdown of $44K back then would be more like $176K in today’s terms.  In my next post I will go over the theory of  RAD, but for right now you just need to basically ignore TradeStation’s built in performance metrics and use this function that I developed in most part by looking at Thomas’ book.

//Name this function StridsmanFunc1

Vars: FName(""), offset(1),TotTr(0), Prof(0), CumProf(1), ETop(1), TopBar(0), Toplnt(0),BotBar(0), Botlnt(0), EBot(1), EDraw(1), TradeStr2( "" );
Arrays: tradesPerArr[1000](0),drawDownArr[1000](0);
Vars: myEntryPrice(0),myEntryDate(0),myMarketPosition(0),myExitDate(0),myExitPrice(0);
If CurrentBar = 1 Then 
Begin
	FName = "C:\Temp\" + LeftStr(GetSymbolName, 3) + ".csv";
	FileDelete(FName);
	TradeStr2 = "E Date" + "," + "Position" + "," + "E Price" + "," + "X Date" +"," + "X Price" + "," + "Profit" + "," + "Cum. prof." + "," + "E-Top" + "," +"E-Bottom" + "," + "Flat time" + "," + "Run up" + "," + "Drawdown" +NewLine;
	FileAppend(FName, TradeStr2);
End;
TotTr = TotalTrades;
If TotTr > TotTr[1] or (lastBarOnChart and marketPosition <> 0) Then 
Begin

	if TotTr > TotTr[1] then
	begin
		if (EntryPrice(1) <> 0) then Prof = 1 + PositionProfit(1)/(EntryPrice(1) * BigPointValue); 
	End
	else
	begin
		Value99 = iff(marketPosition = 1,c - entryPrice, entryPrice - c);
		Prof = 1 + (Value99*bigPointValue) /(Entryprice *BigPointValue);
//		print(d," StridsmanFunc1 ",Value99," ",Prof," ",(Value99*bigPointValue) /(Entryprice *BigPointValue):5:4);
		TotTr = totTr + 1;
	end;
	tradesPerArr[TotTr] = Prof - 1;
	CumProf = CumProf * Prof;
	ETop = MaxList(ETop, CumProf);
	If ETop > ETop[1] Then 
	Begin
		TopBar = CurrentBar;
		EBot = ETop;
	End;
	
	EBot = MinList(EBot, CumProf);
	
	If EBot<EBot[1] Then BotBar = CurrentBar;
	
	Toplnt = CurrentBar - TopBar;
	
	Botlnt = CurrentBar - BotBar;
	
	if ETop <> 0 then EDraw = CumProf / ETop;
	
	drawDownArr[TotTr] = (EDraw - 1);
	
	myEntryDate = EntryDate(1);
	myMarketPosition = MarketPosition(1);
	myEntryPrice = EntryPrice(1);
	myExitDate = ExitDate(1);
	myExitPrice = ExitPrice(1);
	If lastBarOnChart and marketPosition <> 0 then
	Begin
		myEntryDate = EntryDate(0);
		myMarketPosition = MarketPosition(0);
		myEntryPrice = EntryPrice(0);
		myExitDate = d;
		myExitPrice =c;
	end;
	TradeStr2 = NumToStr(myEntryDate, 0) + "," +NumToStr(myMarketPosition, 0) + "," + NumToStr(myEntryPrice, 2) + "," 
	+ NumToStr(myExitDate, 0) + "," + NumToStr(myExitPrice, 2) + ","+ NumToStr((Prof - 1) * 100, 2) + "," + NumToStr((CumProf - 1) *100, 2) + "," 
	+ NumToStr((ETop - 1) * 100, 2) + "," + NumToStr((EBot - 1) * 100, 2) + "," + NumToStr(Toplnt, 0) + "," + NumToStr(Botlnt, 0) + "," + NumToStr((EDraw - 1) * 100, 2) +
	NewLine;
	
	FileAppend(FName, TradeStr2);
End;
vars: tradeStr3(""),
	  ii(0),avgTrade(0),avgTrade$(0),cumProf$(0),trdSum(0),
	  stdDevTrade(0),stdDevTrade$(0),
	  profFactor(0),winTrades(0),lossTrades(0),perWins(0),perLosers(0),
	  largestWin(0),largestWin$(0),largestLoss(0),largestLoss$(0),avgProf(0),avgProf$(0),
      winSum(0),lossSum(0),avgWin(0),avgWin$(0),avgLoss(0),avgLoss$(0),maxDD(0),maxDD$(0),cumProfit(0),cumProfit$(0);
      
If lastBarOnChart then
begin
    stdDevTrade = standardDevArray(tradesPerArr,TotTr,1);
    stdDevTrade$ = stdDevTrade*c*bigPointValue;
    For ii = 1 to TotTr
    Begin
    	trdSum = trdSum + tradesPerArr[ii];	
//    	print(d," ",ii," ",tradesPerArr[ii]);
    	If tradesPerArr[ii] > 0 then 
    	begin
    		winTrades = winTrades + 1;
    		winSum = winSum + tradesPerArr[ii];
    	end;
    	If tradesPerArr[ii] <=0 then 
    	begin
    		lossTrades = lossTrades + 1;
    		lossSum = lossSum + tradesPerArr[ii];
    	end;
    	If tradesPerArr[ii] > largestWin then 
    	begin
    		largestWin = tradesPerArr[ii];
 //   		print("LargestWin Found ",largestWin);
    	end;
    	If tradesPerArr[ii] < largestLoss then largestLoss = tradesPerArr[ii];
    	If drawDownArr[ii] < maxDD then maxDD = drawDownArr[ii];
    end;
 //   print("TradeSum: ",trdSum);
    if TotTr <> 0 then avgTrade = trdSum/TotTr;
	avgTrade$ = avgTrade*c*bigPointValue;
    largestWin = largestWin;
    largestLoss = largestLoss;
    largestWin$ = largestWin*c*bigPointValue;
    largestLoss$ = largestLoss*c*bigPointValue;
    if TotTr <> 0 then perWins = winTrades/TotTr;
    if TotTr <> 0 then perLosers = lossTrades/TotTr;
    If winTrades <> 0 then avgWin = winSum / winTrades;
    avgWin$ = avgWin*c*bigPointValue;
    if lossTrades <> 0 then avgLoss= lossSum / lossTrades;
    avgLoss$ = avgLoss*c*bigPointValue;
    maxDD$ = maxDD *c*bigPointValue;
    if lossTrades <>0 and avgLoss$ <> 0 then profFactor = (winTrades*avgWin$)/(lossTrades*avgLoss$);
    CumProf = cumProf - 1;
    CumProf$ = cumProf*c*bigPointValue;
    
    TradeStr3 = "Total Trades,,"+NumToStr(TotTr,0)+",Num. Winners,"+NumToStr(winTrades,0)+","+NumToStr(perWins,3)+", Num. Losses,"+NumToStr(lossTrades,0)+","+NumToStr(perLosers,3)+NewLine+
                "Profit Factor,,"+NumToStr(profFactor,3)+",Largest Win ,"+NumToStr(largestWin,3)+","+NumToStr(largestWin$,0)+",Largest Loss,"+NumToStr(largestLoss,3)+","+NumToStr(largestLoss$,0)+NewLine+
                "Avg Profit,"+NumToStr(avgTrade,3)+","+NumToSTr(avgTrade$,0)+",Avg Win,"+NumToStr(avgWin,3)+","+NumToStr(avgWin$,0)+",Avg Loss,"+NumToStr(avgLoss,3)+","+NumToStr(avgLoss$,0)+NewLine+
                "Std. Dev,"+NumToStr(stdDevTrade,3)+","+NumToStr(stdDevTrade$,0)+",Cum Profit,"+NumToStr(cumProf,3)+","+NumToStr(cumProf$,3)+",Draw Down,"+numToStr(maxDD,3)+","+numToStr(maxDD$,0)+NewLine;
 	FileAppend(FName, TradeStr3);
 {  Print("Total Trades  ",totalTrades," Num. Winners ",winTrades," ",perWins," Num. Losses    ",lossTrades," ",perLosers);
    Print("Profit Factor ",profFactor," Largest Win   ",largestWin:5:2," ",largestWin$," Largest Loss ",largestLoss:5:2," ",largestLoss$);
    Print("Avg Profit ",avgTrade," ",avgTrade$," Avg Win ",avgWin," ",avgWin$," Avg Loss ",avgLoss," ",avgLoss$);
    Print("St Dev ",stdDevTrade," ",stdDevTrade$," Cum Profit ",cumProf," ",cumProf$," Drawdown ",maxDD," ",maxDD$);}
    
    
 end;   
    
    

StridsmanFunc1 = 1;
Conversion of Performance Metrics to Percentages Instead of $Dollars

This function will out put a file that looks like this.  Go ahead and play with the code – all you have to do is call the function from within an existing strategy that you are working with.  In part two I will go over the code and explain what its doing and how arrays and strings were used to archive the trade history and print out this nifty table.

Stridsman Function Output.

In this output if you treat the return from each trade as a function of the entry price and accumulate the returns you can convert the value to today’s current market price of the underlying.  In this case a 15 -year test going through the end of last year, ended up making almost $70K.

RAD TradeStation Metrics:

Profit $350K – Draw Down $140K

PAD TradeStation Metrics:

Profit $89K – Draw Down $45K

Stridsman Func on RAD:

Profit $70K – Draw Down $48K

At this point you can definitely determine that the typical RAD/TS metrics are not all that usuable.  The PAD/TS results look very similar to RAD/StridsmanFunc results.  Stay tuned for my next post and I will hopefully explain why RAD/StridsmanFunc is probably the most accurate performance metrics of the three.

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Free Trend Following System with Indicator Tracker

Free Trend Following System

Here is a free Trend Following System that I read about on Andreas Clenow’s www.followthetrend.com website and from his book.  This is my interpretation of the rules as they were explained.  However the main impetus behind this post wasn’t to provide a free trading system, but to show how you can program a simple system with a complete input interface and program a tracking indicator.   You might be asking what is a “tracking indicator?”  We use a tracking indicator to help provide insight to what the strategy is doing and what it might do in the near future.  The indicator can let you know that a new signal is imminent and also what the risk is in a graphical form.  The indicator can also plot the indicators that are used in the strategy itself.

Step 1:  Program the Strategy

This system is very simple.  Trade on a 50 day Donchian in the direction of the trend and use a 3 X ATR trailing stop.  So the trend is defined as bullish when the 50-day exponential moving average is greater than the 100-day exponential moving average.  A bearish trend is defined when the 50-day is below the 100-day.  Long positions are initiated on the following day when a new 50 day high has been established and the trend is bullish.  Selling short occurs when the trend is bearish and a new 50 day low is establish.  The initial stop  is set to 3 X ATR below the high of the day of entry.  I tested using a 3 X ATR stop initially from the entryPrice for protection on the day of entry, but it made very little difference.  As the trade moves more into your favor, the trailing stop ratchets up and tracks the higher intra-trade extremes.  Eventually once the market reverses you get stopped out of a long position 3 X ATR from the highest high since you entered the long trade.  Hopefully, with a big winner.   The Clenow model also uses a position sizing equation that uses ATR to determine market risk and $2000 for the allocated amount to risk.  Size= 2000 / ATR – this equation will normalize size across a portfolio of markets.

Here is the code.

//Based on Andreas Clenow's description from www.followingthetrend.com
//This is my interpretation and may or may not be what Andreas intended
//Check his books out at amazon.com
//
inputs: xAvgShortLen(50),xAvgLongLen(100),hhllLen(50),buyTrigPrice(h),shortTrigPrice(l),risk$Alloc(2000);
inputs: atrLen(30),trailATRMult(3);
vars: avg1(0),avg2(0),lXit(0),sXit(0),posSize(0),atr(0);

avg1  = xaverage(c,xAvgShortLen);
avg2  = xaverage(c,xAvgLongLen);

atr = avgTrueRange(atrLen);
posSize = maxList(1,intPortion(risk$Alloc/(atr*bigPointValue)));

If marketPosition <> 1 and avg1 > avg2 and buyTrigPrice = highest(buyTrigPrice,hhllLen) then buy posSize contracts next bar at open;
If marketPosition <> -1 and avg1 < avg2 and shortTrigPrice = lowest(shortTrigPrice,hhllLen) then sellshort posSize contracts next bar at open;

If marketPosition = 0 then
Begin
	lXit = o - trailATRMult * atr ;
	sXit = o + trailATRMult * atr; 
//	if c < lXit then Sell currentcontracts contracts next bar at open;
//	If c > sXit then buyToCover currentcontracts contracts next bar at open;
end;

If marketPosition = 1 then 
begin
	lXit = maxList(lXit,h - trailATRMult * atr);
	If c < lXit then sell currentContracts contracts next bar at open;
end;

If marketPosition = -1 then 
begin
	sXit = minList(sXit,l + trailATRMult * atr);
	If c > sXit then buyToCover currentContracts contracts next bar at open;
end;
Cleanow Simple Trend Following System

What I like about this code is how you can use it as a template for any trend following approach.  All the variables that could be optimized are included as inputs.  Many may not know that you can actually change the data series that you want to use as your signal generator right in the input.  Here I have provided two inputs : buyTrigPrice(H), shortTrigPrice(L).  If you want to use the closing price, then all you need to do is change the H and L to C.  The next lines of code performs the calculations needed to calculate the trend.  PosSize is then calculated next.  Here I am dividing the variable risk$Alloc by atr*bigPointValue.  Basically I am taking $2000 and dividing the average true range over the past 30 days multiplied by the point value of the market being tested.  Always remember when doing calculations with $s you have to convert whatever else you are using into dollars as well.  The ATR is expressed in the form of a price difference.  You can’t divide dollars by a price component, hence the multiplication by bigPointValue.  So now we have the trend calcuation and the position sizing taken care of and all we need now is the trend direction and the entry levels.  If avg1 > avg2 then the market is in a bullish posture, and if today’s High = highest(High,50) days back then initiate a long position with posSize contracts at the next bar’s openNotice how I used the keyword contracts after posSize.  This let’s TS know that I want to trade more than one contract.  If the current position is flat I set the lXit and sXit price levels to the open -/+ 3 X ATR.  Once a position (long or short) is initiated then I start ratcheting the trailing stop up or down.  Assuming a long position, I compare the current lXit and the current bar’s HIGH- 3 X ATR and take the larger of the two valuesSo lXit always moves up and never down.  Notice if the close is less than lXit I used the keyword currentContracts and contracts in the directive to exit a long trade.  CurrentContracts contains the current number of contracts currently long and contracts informs TS that more than one contract is being liquidated.  Getting out of a short position is exactly the same but in a different direction.

Step 2: Program the System Tracking Indicator

Now you can take the exact code and eliminate all the order directives and use it to create a tracking indicator.  Take a look at this code:

//Based on Andreas Clenow's description from www.followingthetrend.com
//This is my interpretation and may or may not be what Andreas intended
//Check his books out at amazon.com
//
inputs: xAvgShortLen(50),xAvgLongLen(100),hhllLen(50),buyTrigPrice(h),shortTrigPrice(l);
inputs: atrLen(30),trailATRMult(3);
vars: avg1(0),avg2(0),lXit(0),sXit(0),posSize(0),atr(0),mp(0);

avg1  = xaverage(c,xAvgShortLen);
avg2  = xaverage(c,xAvgLongLen);

atr = avgTrueRange(atrLen);

plot1(avg1,"stXavg");
plot2(avg2,"ltXavg");

If avg1[1] > avg2[1] and buyTrigPrice[1] = highest(buyTrigPrice[1],hhllLen) then mp = 1;
If avg1[1] < avg2[1] and shortTrigPrice[1] = lowest(shortTrigPrice[1],hhllLen) then mp = -1;

If mp = 0 then
Begin
	lXit = o - trailATRMult * atr ;
	sXit = o + trailATRMult * atr;
end;

If mp = 1 then 
begin
	lXit = maxList(lXit,h - trailATRMult * atr);
	plot3(lXit,"LongTrail");
	If c < lXit then mp = 0;
end;

If mp = -1 then 
begin
	sXit = minList(sXit,l + trailATRMult * atr);
	plot4(sXit,"ShortTrail");
	If c > sXit then mp = 0;
end;

However, you do need to keep track if the underlying strategy is long or short and you can do this by pretending you are the computer and using the mp variable.  You know if yesterdays avg1 > avg2 and HIGH[1] = highestHigh(HIGH[1],50), then a long position should have been initiated.  If this happens just set mp to 1You set mp to -1 by checking the trend and lowestLow(LOW[1],50).  Once you know the mp or implied market position then you can calculate the lXit and sXit.  You will always plot the moving averages to help determine trend direction, but you only plot the lXit and sXit when a position is on.  So plot3 and plot4 should only be plotted when a position is long or short.

Here is a screenshot of the strategy and tracking indicator.

Notice how the Yellow and Cyan plots follow the correct market position.  You will need to tell TS not to connect these plot lines when they are not designed to be plotted.

Turn-Off Auto Plot Line Connection

Do this for Plot3 and Plot4 and you will be good to go.

I hope you found this post useful.  Also don’t forget to check out my new book at Amazon.com.  If you really want to learn programming that will help across different platforms I think it would be a great learning experience.

 

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A Christmas Project for TradeStation Day-Traders

Here is a neat little day trader system that takes advantage of what some technicians call a “CLEAR OUT” trade.  Basically traders push the market through yesterday’s high and then when everybody jumps on board they pull the rug out from beneath you.  This strategy tries to take advantage of this.  As is its OK, but it could be made into a complete system with some filtering.  Its a neat base to start your day-trading schemes from.

But first have you ever encountered this one when you only want to go long once during the day.

I have logic that examines marketPosition, and if it changes from a non 1 value to 1 then I increment buysToday.  Since there isn’t an intervening bar to establish a change in marketPosition, then buysToday does not get incremented and another buy order is issued.  I don’t want this.  Remember to plot on the @ES.D.

Here’s how I fixed it and also the source of the CLEAR-OUT day-trade in its entirety.  I have a $500 stop and a $350 take profit, but it simply trades way too often.  Have fun with this one – let me now if you come up with something.

inputs: clearOutAmtPer(0.1),prot$Stop(325),prof$Obj(500),lastTradeTime(1530);

vars: coBuy(false),coSell(false),buysToday(0),sellsToday(0),mp(0),totNumTrades(0);

If d <> d[1] then
Begin
	coBuy = false;
	coSell = false;
	buysToday = 0;
	sellsToday = 0;
	totNumTrades = totalTrades;
end;

 
mp = marketPosition;
If mp[1] <> mp and mp = 1 then buysToday = buysToday + 1;
If mp[1] <> mp and mp = -1 then sellsToday = sellsToday + 1;

If h > highD(1) + clearOutAmtPer * (highD(1) - lowD(1)) then coSell = true;
If l < lowD(1) - clearOutAmtPer * (highD(1) - lowD(1)) then coBuy = true;

If totNumTrades <> totalTrades and mp = 0 and mp[1] = 0 and positionProfit(1) < 0 and entryPrice(1) > exitPrice(1) then buysToday = buysToday + 1;
If totNumTrades <> totalTrades and mp = 0 and mp[1] = 0 and positionProfit(1) < 0 and entryPrice(1) < exitPrice(1) then sellsToday =sellsToday + 1;

totNumTrades = totalTrades;

If buysToday = 0 and t < lastTradeTime and coBuy = true then buy ("COBuy") next bar at lowD(1) + minMove/priceScale stop;
If sellsToday = 0 and t < lastTradeTime and coSell = true then sellShort ("COSell") next bar at highD(1) - minMove/priceScale stop;

setStopLoss(prot$stop);
Setprofittarget(prof$Obj);
setExitOnClose;
Look at lines 22 and 23 - the entry/exit same bar fix

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Testing Keith Fitschen’s Bar Scoring with Pattern Smasher

Keith’s Book

Thanks to MJ for planting the seed for this post.  If you were one of the lucky ones to get Keith’s “Building Reliable Trading SystemsTradable Strategies that Perform as They Backtest and Meet Your Risk-Reward Goals”  book by John Wiley 2013 at the list price of $75 count yourself lucky.  The book sells for a multiple of that on Amazon.com.  Is there anything earth shattering in the book you might ask?  I wouldn’t necessarily say that, but there are some very well thought out and researched topics that most traders would find of interest.

Bar Scoring

In his book Keith discusses the concept of bar-scoring.  In Keith’s words, “Bar-scoring is an objective way to classify an instrument’s movement potential every bar.  The two parts of the bar-scoring are the criterion and the resultant profit X days hence.”  Keith provides several bar scoring techniques, but I highlight just one.

Keith broke these patterns down into the relationship of the close to the open, and close in the upper half of the range; close greater than the open and close in the lower half of the range.  He extended the total number of types to 8 by adding the relationship of the close of the bar to yesterdays bar.

The PatternSmasher code can run through a binary representation

for each pattern and test holding the position for an optimizable number of days.  It can also check for long and short positions.  The original Pattern Smasher code used a for-loop to create patterns that were then compared to the real life facsimile.  In this code it was easier to just manually define the patterns and assign them the binary string.

if c[0]> c[1] and c[0] > o[0] and c[0] > (h[0] + l[0])/2  then patternString = "----";
if c[0]> c[1] and c[0] > o[0] and c[0] < (h[0] + l[0])/2  then patternString = "---+";
if c[0]> c[1] and c[0] < o[0] and c[0] > (h[0] + l[0])/2  then patternString = "--+-";
if c[0]> c[1] and c[0] < o[0] and c[0] < (h[0] + l[0])/2  then patternString = "--++";
if c[0]< c[1] and c[0] > o[0] and c[0] > (h[0] + l[0])/2  then patternString = "-+--";
if c[0]< c[1] and c[0] > o[0] and c[0] < (h[0] + l[0])/2  then patternString = "-+-+";
if c[0]< c[1] and c[0] < o[0] and c[0] > (h[0] + l[0])/2  then patternString = "-++-";
if c[0]< c[1] and c[0] < o[0] and c[0] < (h[0] + l[0])/2  then patternString = "-+++";
Manual Pattern Designations

Please check my code for any errors.  Here I go through the 8 different relationships and assign them to a Patter String.  “-+++”  represents pattern number (7 ) or type (7 + 1 = 8 – my strings start out at 0).  You can then optimize the test pattern and if the test pattern matches the actual pattern, then the Pattern Smasher takes the trade  on the opening of the next bar and holds it for the number of days you specify.  You an also designate long and short positions in the code.  Here I optimized the 8 patterns going long and short and holding from 1-4 days.

Here is the equity curve!  Remember these are Hypothetical Results with $0 commission/slippage and historic performance is not necessarily indicative of future results.  Educational purposes only!  This is tested on ES.D

Play around with the code and let me know if you find any errors or any improvements.

input: patternTests(8),orbAmount(0.20),LorS(1),holdDays(0),atrAvgLen(10),enterNextBarAtOpen(true);
  
var: patternTest(""),patternString(""),tempString("");
var: iCnt(0),jCnt(0);
array: patternBitChanger[4](0);
   
{written by George Pruitt -- copyright 2019 by George Pruitt
 This will test a 4 day pattern based on the open to close
 relationship.  A plus represents a close greater than its
 open, whereas a minus represents a close less than its open.
 The default pattern is set to pattern 14 +++- (1110 binary).
 You can optimize the different patterns by optimizing the
 patternTests input from 1 to 16 and the orbAmount from .01 to
 whatever you like.  Same goes for the hold days, but in this
 case you optimize start at zero.  The LorS input can be
 optimized from 1 to 2 with 1 being buy and 2 being sellshort.}
  
patternString = "";
patternTest = "";
 
patternBitChanger[0] = 0;
patternBitChanger[1] = 0;
patternBitChanger[2] = 0;
patternBitChanger[3] = 0;
 
value1 = patternTests - 1;
 
 
//example patternTests = 0 -- > 0000
//example patternTests = 1 -- > 0001
//example patternTests = 2 -- > 0010
//example patternTests = 3 -- > 0011
//example patternTests = 4 -- > 0100
//example patternTests = 5 -- > 0101
//example patternTests = 6 -- > 0110
//example patternTests = 7 -- > 0111

if(value1 >= 0) then
begin
 
    if(mod(value1,2) = 1) or value1 = 1 then patternBitChanger[0] = 1;
    value2 = value1 - patternBitChanger[0] * 1;
  
    if(value2 >= 7) then begin
        patternBitChanger[3] = 1;
        value2 = value2 - 8;
    end;
 
    if(value2 >= 4) then begin
        patternBitChanger[2] = 1;
        value2 = value2 - 4;
    end;
    if(value2 = 2) then patternBitChanger[1] = 1;
end;

for iCnt = 3 downto 0  begin
    if(patternBitChanger[iCnt] = 1) then
    begin
        patternTest = patternTest + "+";
    end
    else
    begin
        patternTest = patternTest + "-";    
    end;
end;
 
 patternString = "";
  
if c[0]> c[1] and c[0] > o[0] and c[0] > (h[0] + l[0])/2  then patternString = "----";
if c[0]> c[1] and c[0] > o[0] and c[0] < (h[0] + l[0])/2  then patternString = "---+";
if c[0]> c[1] and c[0] < o[0] and c[0] > (h[0] + l[0])/2  then patternString = "--+-";
if c[0]> c[1] and c[0] < o[0] and c[0] < (h[0] + l[0])/2  then patternString = "--++";
if c[0]< c[1] and c[0] > o[0] and c[0] > (h[0] + l[0])/2  then patternString = "-+--";
if c[0]< c[1] and c[0] > o[0] and c[0] < (h[0] + l[0])/2  then patternString = "-+-+";
if c[0]< c[1] and c[0] < o[0] and c[0] > (h[0] + l[0])/2  then patternString = "-++-";
if c[0]< c[1] and c[0] < o[0] and c[0] < (h[0] + l[0])/2  then patternString = "-+++";

 
if(barNumber = 1) then print(elDateToString(date)," pattern ",patternTest," ",patternTests-1);
if(patternString = patternTest) then
 begin
 
//   print(date," ",patternString," ",patternTest); //uncomment this and you can print out the pattern
	if (enterNextBarAtOpen) then
	begin
		if(LorS = 2) then SellShort("PatternSell") next bar on open;
		if(LorS = 1) then buy("PatternBuy") next bar at open;
	end
	else
	begin
		if(LorS = 2) then SellShort("PatternSellBO") next bar at open of tomorrow - avgTrueRange(atrAvgLen) * orbAmount stop;
    	if(LorS = 1) then buy("PatternBuyBO") next bar at open of tomorrow + avgTrueRange(atrAvgLen) * orbAmount stop;
    end;
	

end;
 
if(holdDays = 0 ) then setExitonClose;
if(holdDays > 0) then
begin
    if(barsSinceEntry = holdDays and LorS = 2) then BuyToCover("xbarLExit") next bar at open;
    if(barsSinceEntry = holdDays and LorS = 1) then Sell("xbarSExit") next bar at open;
end;
Bar Scoring Testing Template
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How To Program A Ratcheting Stop in EasyLanguage

30 Minute Break Out utilizing a Ratchet Stop [7 point profit with 6 point retention]
I have always been a big fan of trailing stops.  They serve two purposes – lock in some profit and give the market room to vacillate.  A pure trailing stop will move up as the market makes new highs, but a ratcheting stop (my version) only moves up when a certain increment or multiple of profit has been achieved.  Here is a chart of a simple 30 minute break out on the ES day session.  I plot the buy and short levels and the stop level based on whichever level is hit first.

When you program something like this you never know what is the best profit trigger or the best profit retention value.  So, you should program this as a function of these two values.  Here is the code.

inputs: ratchetAmt(6),trailAmt(6);
vars:longMult(0),shortMult(0),myBarCount(0);
vars:stb(0),sts(0),buysToday(0),shortsToday(0),mp(0);
vars:lep(0),sep(0);

If d <> d[1] then
Begin
	longMult = 0;
	shortMult = 0;
	myBarCount = 0;
	mp = 0;
	lep = 0;
	sep = 0;
	buysToday = 0;
	shortsToday = 0;
end;

myBarCount = myBarCount + 1;

If myBarCount = 6 then  // six 5 min bars = 30 minutes
Begin
	stb = highD(0);  //get the high of the day
	sts = lowD(0);   //get low of the day
end;

If myBarCount >= 6 and buysToday + shortsToday = 0 and high >= stb then 
begin
	mp = 1;  //got long - illustrative purposes only
	lep = stb;

end;
If myBarCount >=6 and buysToday + shortsToday = 0 and low <= sts then begin
	mp = -1; //got short
	sep = sts;
end;

If myBarCount >=6 then 
Begin
	plot3(stb,"buyLevel");
	plot4(sts,"shortLevel");
end;
If mp = 1 then buysToday = 1;
If mp =-1 then shortsToday = 1;


// Okay initially you want a X point stop and then pull the stop up
// or down once price exceeds a multiple of Y points
// longMult keeps track of the number of Y point multipes of profit
// always key off of lep(LONG ENTRY POINT)
// notice how I used + 1 to determine profit
// and -  1 to determine stop level
If mp = 1 then 
Begin
	If h >= lep + (longMult + 1) * ratchetAmt then	longMult = longMult + 1;
	plot1(lep + (longMult - 1) *  trailAmt,"LE-Ratchet");
end;

If mp = -1 then 
Begin
	If l <= sep - (shortMult + 1) * ratchetAmt then	shortMult = shortMult + 1;
	plot2(sep - (shortMult - 1) *  trailAmt,"SE-Ratchet");
end;
Ratcheting Stop Code

So, basically I set my multiples to zero on the first bar of the trading session.  If the multiple = 0 and you get into a long position, then your initial stop will be entryPrice + (0 – 1) * trailAmt.  In other words your stop will be trailAmt (6 in this case) below entryPrce.  Once price exceeds or meets 7 points above entry price, you increment the multiple (now 1.)  So, you stop becomes entryPrice + (1-1) * trailAmt – which equals a break even stop.  This logic will always move the first stop to break even.  Assume the market moves 2 multiples into profit (14 points), what would your stop be then?

stop = entryPrice + (2 – 1) * 6 or entryPrice + 6 points.

See how it ratchets.  Now you can optimized the profit trigger and profit retention values.  Since I am keying of entryPrice your first trailing stop move will be a break-even stop.

This isn’t a strategy but it could very easily be turned into one.

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Passing a Two Dimensional Array to a Function- EasyLanguage

In this post, I want to share some code that I was surprised wasn’t really all that accessible.  I was in need of passing a 2-D array to a function and couldn’t remember the exact syntax.  The semantics of the problem is pretty straightforward.

  • Build Array
  • Pass Array as Reference
  • Unpack Array
  • Do Calculation

A 2D Array Is Just Like a Table

Any readers please correct me if I am wrong here, but you can’t use dynamic arrays on any dimension greater than 1.  A dynamic array is one where you don’t initially know the size of the array so you leave it blank and TradeStation allocates memory dynamically.  Also, there are a plethora of built-in functions that only work with dynamic arrays.  Once we step up in dimension then that all goes out the window.  I know what you are thinking, just use multiple dynamic arrays.  Sometimes you want to keep the accounting down to a minimum and a matrix or table fits this bill.  So if you do use multi-dimension arrays just remember you will need to know the total number of rows and columns in your table.  Table?  What do you mean table?  I thought we were talking about arrays.  Well, we are and a two-dimensional array can look like a table with rows as your first index and columns as your second.  Just like an Excel spreadsheet.  First, let’s create a very small and simple table in EasyLangauge:

array: testArray[2,2](0);

Once
begin
	testArray[0,0] = 100;
	testArray[0,1] = 5;
	
	testArray[1,0] = 200;
	testArray[1,1] = 10;
	
	testArray[2,0] = 300;
	testArray[2,1] = 7.5;
	
	Value2 = getArrayHH(testArray,2,2);
	Print (value2);

end;
Create a Very Small Table in Our Sandbox

 

My EasyLanguage Sandbox

You will notice I used the keyword Once.  I use this whenever I want to play around with some code in my EasyLanguage Sandbox.  Huh?  In programmer-ese a Sandbox is a quick and dirty environment that runs very quickly and requires nearly zero overhead.  So here I apply the code to print out just one line of output when applied to any chart.   Notice how I declare the 2-D array – use the keyword Array: and the name of the array or table and allocate the total number of rows as the first argument and the total number of columns as the second argument.  Also notice the arguments are separated by a comma and enclosed in square brackets.  The following value enclosed in parentheses is the default value of every element in the array.    Remember arrays are zero-based in EasyLanguage.  So if you dimension an array with the number 2 you access the rows with 0 and 1 and 2.  Same goes for columns as well.  Did you catch that.  If you dimension an array with the number 2 shouldn’t there be just 2 rows?  Well in EasyLanguage when you dimension an array you get a free element at row 0 and column 0.  In EasyLanguage you can just ignore row 0 and column 0 if you like.  Here is the code if you ignore row 0 and column 0.

Should I Use Row 0 and Column Zero – It’s A Preference

array: testArray[2,2](0);

Once
begin
	testArray[1,1] = 100;
	testArray[1,2] = 5;
	
	testArray[2,1] = 200;
	testArray[2,2] = 10;
		
	Value2 = getArrayHH(testArray,2,2);
	Print (value2);

end;
Ignore the Elements at Row 0 and Column 0

Out Of Bounds

Even though you get one free row you still cannot go beyond the boundaries of the array size.  If I were to say something like:

testArray[3,1] = 300;

I would get an error message.  If you want to work with a zero element then all of your code must coincide with that.  If not, then your code shouldn’t try to access row 0 or column 0.    Okay here is the function that I programmed for this little test:

inputs: tempArray[x,y](numericArray),numOfRows(numericSimple),whichColumn(numericSimple);

vars: j(0),tempHi(0),cnt(0);

For j= 1 to numOfRows 
Begin
	print(j," ",tempArray[j,whichColumn]);
	If tempArray[j,whichColumn] > tempHi then tempHi = tempArray[j,whichColumn];
end;

GetArrayHH = tempHi;
Function That Utilizes a 2D Array

Notice in the inputs how I declare the tempArray with the values x and y.  You could have used a and b if you like or any other letters.  This informs the compiler to expect a 2D array.  It doesn’t know the size and that’s not important as long as you control the boundaries from the calling routine.  The second parameter is the number of rows in the table and the third parameter is the column I am interested in.  In this example, I am interested in column 2.

The Caller Function is the QuarterBack – Make Sure You Don’t Throw it Out of Bounds

Again this function assumes the caller will prevent stepping out of bounds.  I loop the number of rows in the table and examine the second column and keep track of the highest value.  I then return the highest column value.

This was a simple post, but remembering the syntax can be tough and know that EasyLangauge is zero-based when it comes to arrays is nice to know.   You can also use this format for your own Sandbox.

 

 

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MULTI-TIME FRAME – KEEPING TRACK OF DISCRETE TIME FRAMES

Just a quick post here.  I was asked how to keep track of the opening price for each time frame from our original Multi-Time Frame indicator and I was answering the question when I thought about modifying the indicator.  This version keeps track of each discrete time frame.  The original simply looked back a multiple of the base chart to gather the highest highs and lowest lows and then would do a simple calculation to determine the trend.  So let’s say its 1430 on a five-minute bar and you are looking back at time frame 2.  All I did was get the highest high and lowest low two bars back and stored that information as the high and low of time frame 2.  Time frame 3 simply looked back three bars to gather that information.  However if you tried to compare these values to a 10-minute or 15-minute chart they would not match.

In this version, I use the modulus function to determine the demarcation of each time frame.  If I hit the border of the time frame I reset the open, high, low and carry that value over until I hit the next demarcation.  All the while collecting the highest highs and lowest lows.  In this model, I am working my way from left to right instead of right to left.  And in doing so each time frame is discrete.

Let me know which version you like best.

 

Inputs:tf1Mult(2),tf2Mult(3),tf3Mult(4),tf4Mult(5);



vars: mtf1h(0),mtf1l(0),mtf1o(0),mtf1c(0),mtf1pvt(0),diff1(0),
      mtf2h(0),mtf2l(0),mtf2o(0),mtf2c(0),mtf2pvt(0),diff2(0),
      mtf3h(0),mtf3l(0),mtf3o(0),mtf3c(0),mtf3pvt(0),diff3(0),
      mtf4h(0),mtf4l(0),mtf4o(0),mtf4c(0),mtf4pvt(0),diff4(0),
      mtf0pvt(0),diff0(0);

If barNumber = 1 then
Begin
	mtf1o = o;
	mtf2o = o;
	mtf3o = o;
	mtf4o = o;
end;


If barNumber > 1 then
Begin

	Condition1 =  mod((barNumber+1),tf1Mult) = 0;
	Condition2 =  mod((barNumber+1),tf2Mult) = 0;
	Condition3 =  mod((barNumber+1),tf3Mult) = 0;
	Condition4 =  mod((barNumber+1),tf4Mult) = 0;
	
	mtf1h = iff(not(condition1[1]),maxList(high,mtf1h[1]),high);
	mtf1l = iff(not(condition1[1]),minList(low,mtf1l[1]),low);
	mtf1o = iff(condition1[1],open,mtf1o[1]);
	mtf1c = close;

	
	mtf0pvt = (close + high + low) / 3;
	diff0 = close - mtf0pvt;
	
	mtf2h = iff(not(condition2[1]),maxList(high,mtf2h[1]),high);
	mtf2l = iff(not(condition2[1]),minList(low,mtf2l[1]),low);
	mtf2o = iff(condition2[1],open,mtf2o[1]);
	mtf2c = close;
	
	
	mtf1pvt = (mtf1h+mtf1l+mtf1c) / 3;
	diff1 = mtf1c - mtf1pvt;
		
	mtf2pvt = (mtf2h+mtf2l+mtf2c) / 3;
	diff2 = mtf2c - mtf2pvt;
		
	mtf3h = iff(not(condition3[1]),maxList(high,mtf3h[1]),high);
	mtf3l = iff(not(condition3[1]),minList(low,mtf3l[1]),low);
	mtf3o = iff(condition3[1],open,mtf3o[1]);
	mtf3c = close;
	
	mtf3pvt = (mtf3h+mtf3l+mtf3c) / 3;
	diff3 = mtf3c - mtf3pvt;
	
	mtf4h = iff(not(condition4[1]),maxList(high,mtf4h[1]),high);
	mtf4l = iff(not(condition4[1]),minList(low,mtf4l[1]),low);
	mtf4o = iff(condition4[1],open,mtf4o[1]);
	mtf4c = close;

	mtf4pvt = (mtf4h+mtf4l+mtf4c) / 3;
	diff4 = mtf4c - mtf4pvt;
	
	
	Condition10 = diff0 > 0;
	Condition11 = diff1 > 0;
	Condition12 = diff2 > 0;
	Condition13 = diff3 > 0;
	Condition14 = diff4 > 0;
	 
	If condition10 then setPlotColor(1,Green) else SetPlotColor(1,Red);
	If condition11 then setPlotColor(2,Green) else SetPlotColor(2,Red);
	If condition12 then setPlotColor(3,Green) else SetPlotColor(3,Red);
	If condition13 then setPlotColor(4,Green) else SetPlotColor(4,Red);
	If condition14 then setPlotColor(5,Green) else SetPlotColor(5,Red);
	
	condition6 = condition10 and condition11 and condition12 and condition13 and condition14;
	Condition7 = not(condition10) and not(condition11) and not(condition12) and not(condition13) and not(condition14);

	If condition6 then setPlotColor(7,Green);
	If condition7 then setPlotColor(7,Red);
	
	If condition6 or condition7 then plot7(7,"trend");

	Plot6(5,"line");	
	Plot1(4,"t1");
	Plot2(3,"t2");
	Plot3(2,"t3");
	Plot4(1,"t4");
	Plot5(0,"t5"); 

end;
Multi-Time Frame with Discrete Time Frames
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Using a Dictionary to Create a Trading System

Dictionary Recap

Last month’s post on using the elcollections dictionary was a little thin so I wanted to elaborate on it and also develop a trading system around the best patterns that are stored in the dictionary.  The concept of the dictionary exists in most programming languages and almost all the time uses the (key)–>value model.  Just like a regular dictionary a word or a key has a unique definition or value.  In the last post, we stored the cumulative 3-day rate of return in keys that looked like “+ + – –” or “+ – – +“.  We will build off this and create a trading system that finds the best pattern historically based on average return.  Since its rather difficult to store serial data in a Dictionary I chose to use Wilder’s smoothing average function.

Ideally, I Would Have Liked to Use a Nested Dictionary

Initially, I played around with the idea of the pattern key pointing to another dictionary that contained not only the cumulative return but also the frequency that each pattern hit up.  A dictionary is designed to have  unique key–> to one value paradigm.  Remember the keys are strings.  I wanted to have unique key–> to multiple values. And you can do this but it’s rather complicated.  If someone wants to do this and share, that would be great.  AndroidMarvin has written an excellent manual on OOEL and it can be found on the TradeStation forums.  

Ended Up Using A Dictionary With 2*Keys Plus an Array

So I didn’t want to take the time to figure out the nested dictionary approach or a vector of dictionaries – it gets deep quick.  So following the dictionary paradigm I came up with the idea that words have synonyms and those definitions are related to the original word.  So in addition to having keys like “+ + – -” or “- – + -” I added keys like “0”, “1” or “15”.  For every  + or – key string there exists a parallel key like “0” or “15”.  Here is what it looks like:

–  –  –  –  = “0”
– – – + = “1”
– – + – = “2”

You can probably see the pattern here.  Every “+” represents a 1 and every “0” represent 0 in a binary-based numbering system.  In the + or – key I store the last value of Wilders average and in the numeric string equivalent, I store the frequency of the pattern.

Converting String Keys to Numbers [Back and Forth]

To use this pattern mapping I had to be able to convert the “++–” to a number and then to a string.  I used the numeric string representation as a dictionary key and the number as an index into an array that store the pattern frequency.  Here is the method I used for this conversion.  Remember a method is just a function local to the analysis technique it is written.

//Lets convert the string to unique number
method int convertPatternString2Num(string pattString) 
Vars: int pattLen, int idx, int pattNumber;
begin
	pattLen = strLen(pattString);
	pattNumber = 0;
	For idx = pattLen-1 downto 0 
	Begin
		If MidStr(pattString,pattLen-idx,1) = "+" then pattNumber = pattNumber + power(2,idx);
	end;
	Return (pattNumber);
end;
String Pattern to Number

This is a simple method that parses the string from left to right and if there is a “+” it is raised to the power(2,idx) where idx is the location of “+” in the string.  So “+  +  –  –  ” turns out to be 8 + 4 + 0 + 0 or 12.

Once I retrieve the number I used it to index into my array and increment the frequency count by one.  And then store the frequency count in the correct slot in the dictionary.

patternNumber = convertPatternString2Num(patternString); 
//Keep track of pattern hits
patternCountArray[patternNumber] = patternCountArray[patternNumber] + 1;
//Convert pattern number to a string do use as a Dictionary Key
patternStringNum = numToStr(patternNumber,2);
//Populate the pattern number string key with the number of hits
patternDict[patternStringNum] = patternCountArray[patternNumber] astype double;
Store Value In Array and Dictionary

Calculating Wilder’s Average Return and Storing in Dictionary

Once I have stored an instance of each pattern [16] and the frequency of each pattern[16] I calculate the average return of each pattern and store that in the dictionary as well.

//Calculate the percentage change after the displaced pattern hits
Value1 =  (c - c[2])/c[2]*100;
//Populate the dictionary with 4 ("++--") day pattern and the percent change
if patternDict.Contains(patternString) then
Begin
	patternDict[patternString] = (patternDict[patternString] astype double * 
	(patternDict[patternStringNum] astype double - 1.00) + Value1) / patternDict[patternStringNum] astype double;
end
Else
begin
	patternDict[patternString] = value1;
//	print("Initiating: ",patternDict[patternString] astype double);
end;
(pAvg * (N-1) + return) / N

When you extract a value from a collection you must us an identifier to expresses its data type or you will get an error message : patternDict[patternString] holds a double value {a real number}  as well as patternDict[patternStringNum] – so I have to use the keyword asType.  Once I do my calculation I ram the new value right back into the dictionary in the exact same slot.  If the pattern string is not in the dictionary (first time), then the Else statement inserts the initial three-day rate of return.

Sort Through All of The Patterns and Find the Best!

The values in a dictionary are stored in alphabetic order and the string patterns are arranged in the first 16 keys.  So I loop through those first sixteen keys and extract the highest return value as the “best pattern.”

//  get the best pattern that produces the best average 3 bar return
vars: hiPattRet(0),bestPattString("");
If patternDict.Count > 29 then
Begin
	index = patternDict.Keys;
	values = patternDict.Values; 
	hiPattRet = 0;
	For iCnt = 0 to 15
	Begin
		If values[iCnt] astype double > hiPattRet then
		Begin
			hiPattRet = values[iCnt] astype double ;
			bestPattString = index[iCnt] astype string;
		end;
	end;
//	print(Date," BestPattString ",bestPattString," ",hiPattRet:8:4," CurrPattString ",currPattString);
end;
Extract Best Pattern From All History

If Today’s Pattern Matches the Best Then Take the Trade

// if the current pattern matches the best pattern then bar next bar at open
If currPattString = BestPattString then buy next bar at open;
// cover in three days
If barsSinceEntry > 2 then sell next bar at open;
Does Today Match the Best Pattern?

If today matches the best pattern then buy and cover after the second day.

Conclusion

I didn’t know if this code was worth proffering up but I decided to posit it because it contained a plethora of programming concepts: dictionary, method, string manipulation, and array.  I am sure there is a much better way to write this code but at least this gets the point across.

Contents of Dictionary at End of Run

++++    0.06
+++-   -0.08
++-+    0.12
++--   -0.18
+-++    0.08
+-+-    0.40
+--+   -0.46
+---    0.34
-+++    0.20
-++-    0.10
-+-+    0.23
-+--    0.31
--++    0.02
--+-    0.07
---+    0.22
----    0.46
0.00  103.00
1.00  128.00
10.00  167.00
11.00  182.00
12.00  146.00
13.00  168.00
14.00  163.00
15.00  212.00
2.00  157.00
3.00  133.00
4.00  143.00
5.00  181.00
6.00  151.00
7.00  163.00
8.00  128.00
9.00  161.00
Contents of Dictionary

Example of Trades

Pattern Dictionary System

 

Code in Universum

//Dictionary based trading sytem
//Store pattern return
//Store pattern frequency
// by George Pruitt
Using elsystem.collections; 

vars: string keystring("");
vars: dictionary patternDict(NULL),vector index(null), vector values(null);
array: patternCountArray[100](0);

input: patternTests(8);
  
var: patternTest(""),tempString(""),patternString(""),patternStringNum("");
var: patternNumber(0);
var: iCnt(0),jCnt(0);
//Lets convert the string to unique number
method int convertPatternString2Num(string pattString) 
Vars: int pattLen, int idx, int pattNumber;
begin
	pattLen = strLen(pattString);
	pattNumber = 0;
	For idx = pattLen-1 downto 0 
	Begin
		If MidStr(pattString,pattLen-idx,1) = "+" then pattNumber = pattNumber + power(2,idx);
	end;
	Return (pattNumber);
end;


once begin 
   clearprintlog; 
   patternDict = new dictionary; 
   index = new vector;
   values = new vector;
end;   

//Convert 4 day pattern displaced by 2 days
patternString = ""; 
for iCnt = 5 downto 2
begin
    if(close[iCnt]> close[iCnt+1]) then
    begin
        patternString = patternString + "+";
    end
    else
    begin
        patternString = patternString + "-";
    end;
end;

//What is the current 4 day pattern
vars: currPattString("");
currPattString = "";

for iCnt = 3 downto 0
begin
    if(close[iCnt]> close[iCnt+1]) then
    begin
        currPattString = currPattString + "+";
    end
    else
    begin
        currPattString = currPattString + "-";
    end;
end;

//Get displaced pattern number
patternNumber = convertPatternString2Num(patternString); 
//Keep track of pattern hits
patternCountArray[patternNumber] = patternCountArray[patternNumber] + 1;
//Convert pattern number to a string do use as a Dictionary Key
patternStringNum = numToStr(patternNumber,2);
//Populate the pattern number string key with the number of hits
patternDict[patternStringNum] = patternCountArray[patternNumber] astype double;
//Calculate the percentage change after the displaced pattern hits
Value1 =  (c - c[2])/c[2]*100;
//Populate the dictionary with 4 ("++--") day pattern and the percent change
if patternDict.Contains(patternString) then
Begin
	patternDict[patternString] = (patternDict[patternString] astype double * 
	(patternDict[patternStringNum] astype double - 1.00) + Value1) / patternDict[patternStringNum] astype double;
end
Else
begin
	patternDict[patternString] = value1;
//	print("Initiating: ",patternDict[patternString] astype double);
end;
//  get the best pattern that produces the best average 3 bar return
vars: hiPattRet(0),bestPattString("");
If patternDict.Count > 29 then
Begin
	index = patternDict.Keys;
	values = patternDict.Values; 
	hiPattRet = 0;
	For iCnt = 0 to 15
	Begin
		If values[iCnt] astype double > hiPattRet then
		Begin
			hiPattRet = values[iCnt] astype double ;
			bestPattString = index[iCnt] astype string;
		end;
	end;
//	print(Date," BestPattString ",bestPattString," ",hiPattRet:8:4," CurrPattString ",currPattString);
end;
// if the current pattern matches the best pattern then bar next bar at open
If currPattString = BestPattString then buy next bar at open;
// cover in three days
If barsSinceEntry > 2 then sell next bar at open;
Pattern Dictionary Part II

 

 

 

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