All posts by George Pruitt

George Pruitt - Author - Blogger - Programmer - Technician Bachelor of Science in Computer Science from UNC-Asheville Levo Oculos Meos In Montes

Happy New Year and some code tidbits

Dollar Cost Averaging Algorithm – Buy X amount every other Monday!

I am not going to get into this controversial approach to trading.  But in many cases, you have to do this because of the limitations of your retirement plan.  Hey if you get free matching dough, then what can you say.

Check this out!

Buy $1000 worth of shares every other Monday. INTC
if dayOfWeek(d of tomorrow)< dayOfWeek(d) Then
begin
toggle = not(toggle);
if toggle then buy dollarInvestment/close shares next bar at open;
end;
Toggle every other Monday ON

Here I use a Boolean typed variable – toggle.   Whenever it is the first day of the week, turn the toggle on or off.  Its new state becomes the opposite if its old state.  On-Off-On-Off – buy whenever the toggle is On or True.  See how I determined if it was the first day of the week; whenever tomorrow’s day of the week is less than today’s day of the week, we must be in a new week.  Monday = 1 and Friday = 5.

Allow partial liquidation on certain days of the year.

Here I use arrays to set up a few days to liquidate a fractional part of the entire holdings.

arrays: sellDates[20](0),sellAmounts[20](0);
//make sure you use valid dates
sellDates[0] = 20220103;sellAmounts[0] = 5000;
sellDates[1] = 20220601;sellAmounts[1] = 5000;
sellDates[2] = 20230104;sellAmounts[2] = 8000;
sellDates[3] = 20230601;sellAmounts[3] = 8000;

value1 = d + 19000000;
if sellDates[cnt] = value1 then
begin
sell sellAmounts[cnt]/close shares total next bar at open;
cnt = cnt + 1;
end;
Notice the word TOTAL in the order directive.

You can use this as reference on how to declare an array and assign the elements an initial value.  Initially, sellDates is an array that contains 20 zeros, and sellAmounts is an array that contains 20 zeros as well.  Load these arrays with the dates and the dollar amounts that want to execute a partial liquidation.  Be careful with using Easylanguage’s Date.  It is in the form YYYMMDD – todays date December 28, 2023, would be represented by 1231228.  All you need to do is add 19000000 to Date to get YYYYMMDD format.  You could use a function to help out here, but why.  When the d + 19000000 equals the first date in the sellDates[1] array, then a market sell order to sell sellAmounts[1]/close shares total is issued.  The array index cnt is incremented.  Notice the order directive.

sell X shares total next bar at market;

If you don’t use the keyword total, then all the shares will be liquidated.

To create a complete equity curve, you will want to liquidate all the shares at some date near the end of the chart.  This is used as input as well as the amount of dollars to invest each time.

//Demonstation of Dollar Cost Averaging
//Buy $1000 shares every two weeks
//Then liquidate a specific $amount on certain days
//of the year

vars: toggle(False),cnt(0);
inputs: settleDate(20231205),dollarInvestment(1000);
arrays: sellDates[20](0),sellAmounts[20](0);
//make sure you use valid dates
sellDates[0] = 20220103;sellAmounts[0] = 5000;
sellDates[1] = 20220601;sellAmounts[1] = 5000;
sellDates[2] = 20230104;sellAmounts[2] = 8000;
sellDates[3] = 20230601;sellAmounts[3] = 8000;

value1 = d + 19000000;
if sellDates[cnt] = value1 then
begin
sell sellAmounts[cnt]/close shares total next bar at open;
cnt = cnt + 1;
end;

if dayOfWeek(d of tomorrow)< dayOfWeek(d) Then
begin
toggle = not(toggle);
if toggle then buy dollarInvestment/close shares next bar at open;
end;

if d + 19000000 = settleDate Then
sell next bar at open;

A cool looking chart.

A chart with all the entries and exits.

Allow Pyramiding

Turn Pyramding On. You will want to allow up to X entries in the same direction regardless of the order directive.

Working with Data2

I work with many charts that have a minute bar chart as Data1 and a daily bar as Data2.  And always forget the difference between:

Close of Data2 and Close[1] of Data2

24 hour regular session used here
1231214 1705 first bar of day - close of data2 4774.00 close[1] of data2 4760.75
1231214 1710 second bar of day - close of data2 4774.00 close[1] of data2 4760.75
1231215 1555 next to last bar of day - close of data2 4774.00 close[1] of data2 4760.75
1231215 1600 last bar of day - close of data2 4768.00 close[1] of data2 4774.00

Up to the last bar of the current trading day the open, high, low, close of data2 will reflect the prior day’s values.  On the last bar of the trading day – these values will be updated with today’s values.

Hope these tidbits help you out.  Happy New Years!

Warmest regards,

George

A Timely Function in EasyLanguage

Learn how to constrain trading between a Start and End Time – not so “easy-peasy”

Why waste time on this?

Is Time > StartTime and Time <= EndTime then…  Right?

This is definitely valid when EndTime > StartTime.  But what happens when EndTime < StartTime.  Meaning that you start trading yesterday, prior to midnight, and end trading after midnight (today.)  Many readers of my blog know I have addressed this issue before and created some simple equations to help facilitate trading around midnight.  The lines of code I have presented work most of the time.  Remember when the ES used to close at 4:15 and re-open at 4:30 eastern?   As of late June 2021, this gap in time has been removed.  The ES now trades between 4:15 and 4:30 continuously.   I discovered a little bug in my code for this small gap when I was optimizing a “get out time.”   I wanted to create a user function that uses the latest session start and end times and build a small database of valid times for the 24-hour markets.  Close to 24 hours – most markets will close for an hour.  With this small database you can test your time to see if it is a valid time.  The construction of this database will require a little TIME math and require the use of arrays and loops.  It is a good tutorial.  However, it is not perfect.  If you optimize time and you want to get out at 4:20 in 2020 on the ES, then you still run into the problem of this time not being valid.  This requires a small workaround.  Going forward with automated trading, this function might be useful.  Most markets trade around the midnight hour – I think meats might be the exception.

Time Based Math

How many 5-minute bars are between 18:00 (prior day) and 17:00 (today)?  We can do this in our heads 23 hours X (60 minutes / 5 minutes) or 23 X 12 = 276 bars.  But we need to tell the computer how to do this and we also should allow users to use times that include minutes such as 18:55 to 14:25. Here’s the math – btw you may have a simpler approach.

Using startTime of 18:55 and endTime of 14:25.

  1. Calculate the difference in hours and minutes from startTime to midnight and then in terms of minutes only.
    1. timeDiffInHrsMins = 2360 – 1855 = 505 or 5 hours and 5 minutes.  We use a little short cut hear.  23 hours and 60 minutes is the same as 2400 or midnight.
    2. timeDiffInMinutes = intPortion(timeDiffInHrsMins/100) * 60 + mod(timeDiffInHrsMins,100).  This looks much more complicated than it really is because we are using two helper functions – intPortion and mod:
      1. ) intPortion – returns the whole number from a fraction.  If we divide 505/100 we get 5.05 and if we truncate the decimal we get 5 hours.
      2. ) mod – returns the modulus or remainder from a division operation.  I use this function a lot.  Mod(505/100) gives 5 minutes.
      3. ) Five hours * 60 minutes + Five minutes = 305 minutes.
  2. Calculate the difference in hours and minutes from midnight to endTime and then in terms of minutes only.
    1. timeDiffInHrsMins = endTime – 0 = 1425 or 14 hours and 25 minutes.  We don’t need to use our little, short cut here since we are simply subtracting zero.  I left the zero in the calculation to denote midnight.
    2. timeDiffInMinutes = timeDiffInMinutes + intPortion(timeDiffInHrsMins/100) * 60 + mod(timeDiffInHrsMins,100).  This is the same calculation as before, but we are adding the result to the number of minutes derived from the startTime to midnight.  
      1. ) intPortion – returns the whole number from a fraction.  If we divide 1425/100, we get 14.05 and if we truncate the decimal, we get 14.
      2. ) mod – returns the modulus or remainder from a division operation.  I use this function a lot.  Mod(1425/100) gives 25.
      3. ) 14* 60 + 25 = 865 minutes.
      4. ) Now add 305 minutes to 865.  This gives us a total of 1165 minutes between the start and end times.
    3. Now divide the timeDiffInMinutes by the barInterval.  This gives 1165 minutes/5 minutes or 233 five-minute bars.

Build Database of all potential time stamps between start and end time

We now have all the ingredients to build are simple array-based database.  Don’t let the word array scare you away.  Follow the logic and you will see how easy it is to use them.   First, we will create the database of all the time stamps between the regular session start and end times of the data on the chart.  We will use the same time-based math (and a little more) to create this benchmark database.  Check out the following code.

// You could use static arrays
// reserve enough room for 24 hours of minute bars
// 24 * 60 = 1440
// arrays: theoTimes[1440](0),validTimes[1440](0);
// syntax - arrayName[size](0) - the zero sets all elements to zero
// this seems like over kill because we don't know what
// bar interval or time span the user will be using

// these arrays are dynamic
// we dimension or reserve space for just what we need
arrays: theoTimes[](0),validTimes[](0);

// Create a database of all times stamps that potentiall could
// occur

numBarsInCompleteSession = timeDiffInMinutes/barInterval;

// Now set the dimension of the array by using the following
// function and the number of bars we calculated for the entire
// regular session
Array_setmaxindex(theoTimes,numBarsInCompleteSession);
// Load the array from start time to end time
// We know the start time and we know the number of X-min bars
// loop from 1 to numBarsInCompleteSession and
// use timeSum as the each and every time stamp
// To get to the end of our journey we must use Time Based Math again.
timeSum = startTime;
for arrayIndex = 1 to numBarsInCompleteSession
Begin
timeSum = timeSum + barInterval;
if mod(timeSum,100) = 60 Then
timeSum = timeSum - 60 + 100; // 1860 - becomes 1900
if timeSum = 2400 Then
timeSum = 0; // 2400 becomes 0000
theoTimes[arrayIndex] = timeSum;

print(d," theo time",arrayIndex," ",theoTimes[arrayIndex]);
end;
Create a dynamic array with all possible time stamps

This is a simple looping mechanism that continually adds the barInterval to timeSum until numBarsInCompleteSession are exhausted.  Reade about the difference between static and dynamic arrays in the code, please.  Here’s how it works with a session start time of 1800:

theoTimes[01] = 1800 + 5 = 1805
theoTimes[02] = 1805 + 5 = 1810
theoTimes[04] = 1810 + 5 = 1815
theoTimes[05] = 1815 + 5 = 1820
theoTimes[06] = 1820 + 5 = 1830
...
//whoops - need more time based math 1860 is not valid
theoTimes[12] = 1855 + 5 = 1860
Insert bar stamps into our theoTimes array

More time-based math

Our loop hit a snag when we came up with 1860 as a valid time.  We all know that 1860 is really 1900.  We need to intervene when this occurs.  All we need to do is use our modulus function again to extract the minutes from our time.

If mod(timeSum,100) = 60 then timeSum = timeSum – 60 + 100.  Her we remove the sixty minutes from the time and add an hour to it.

1860 – 60 + 100 = 1900 // a valid time stamp

That should fix everything right?  What about this:

theoTimes[69] = 2340 + 5 = 2345
theoTimes[70] = 2345 + 5 = 2350
theoTimes[71] = 2350 + 5 = 2355
theoTimes[72] = 2355 + 5 = 2400 // whoops
2400 is okay in Military Time but not in TradeStation

This is a simple fix with.  All we need to do is check to see if timeSum = 2400 and if so, just simply reset to zero.

Build a database on our custom time frame.

Basically, do the same thing, but use the user’s choice of start and end times.

	//calculate the number of barInterval bars in the
//user defined session
numBarsInSession = timeDiffInMinutes/barInterval;

Array_setmaxindex(validTimes,numBarsInSession);

startTimeStamp = calcTime(startTime,barInterval);

timeSum = startTime;
for arrayIndex = 1 to numBarsInSession
Begin
timeSum = timeSum + barInterval;
if mod(timeSum,100) = 60 Then
timeSum = timeSum - 60 + 100;
if timeSum = 2400 Then
timeSum = 0;
validTimes[arrayIndex] = timeSum;
// print(d," valid times ",arrayIndex," ",validTimes[arrayIndex]," ",numBarsInSession);
end;
Create another database using the time frame chose by the user

Don’t allow weird times!

Good programmers don’t allow extraneous values to bomb their functions.  TRY and CATCH the erroneous input before proceeding.  If we have a database of all possible time stamps, shouldn’t we use it to validate the user entry?  Of course, we should.

//Are the users startTime and endTime valid
//bar time stamps? Loop through all the times
//and validate the times.

for arrayIndex = 1 to numBarsInCompleteSession
begin
if startTimeStamp = theoTimes[arrayIndex] then
validStartTime = True;
if endTime = theoTimes[arrayIndex] Then
validEndTime = True;
end;
Validate user's input.

Once we determine if both time inputs are valid, then we can determine if the any bar’s time stamp during a back-test is a valid time.

if validStartTime = false or validEndTime = false Then
error = True;


//Okay to check for bar time stamps against our
//database - only go through the loop until we
//validate the time - break out when time is found
//in database. CanTradeThisTime is the name of the function.
//It returns either True or False

if error = False Then
Begin
for arrayIndex = 1 to numBarsInSession
Begin
if t = validTimes[arrayIndex] Then
begin
CanTradeThisTime = True;
break;
end;
end;
end;
This portion of the code is executed on every bar of the back-test.

Once and only Once!

The code that creates the theoretical and user defined time stamp database is only done on the very first bar of the chart.  Also, the validation of the user’s input in only done once as well.  This is accomplished by encasing this code inside a Once – begin – end.

Now this code will test any time stamp against the current regular session.  If you run a test prior to June 2021, you will get a theoretical database that includes a 4:20, 4:25, and 4:30 on the ES futures.  However, in actuality these bar stamps did not exist in the data.  This might cause a problem when working with a start or end time prior to June 2021, that falls in this range.

Function Name:  CanTradeThisTime

Complete code:

//  Function to determine if time is in acceptable
// set of times
inputs: startTime(numericSimple),endTime(numericSimple);

vars: sessStartTime(0),sessEndTime(0),
startTimeStamp(0),timeSum(0),timeDiffInHrsMins(0),timeDiffInMinutes(0),
validStartTime(False), validEndTime(False);

vars: error(False),arrayIndex(0),
numBarsInSession(0),numBarsInCompleteSession(0);

arrays: theoTimes[](0),validTimes[](0);
vars: arrCnt(0),seed(0);

canTradeThisTime = false;

once
Begin

sessStartTime = sessionStartTime(0,1);
sessEndTime = sessionEndTime(0,1);

if sessStartTime > sessEndTime Then
Begin
timeDiffInHrsMins = 2360 - sessStartTime;
timeDiffInMinutes = intPortion(timeDiffInHrsMins/100) * 60 + mod(timeDiffInHrsMins,100);

timeDiffInHrsMins = sessEndTime - 0;
timeDiffInMinutes += intPortion(timeDiffInHrsMins/100) * 60 + mod(timeDiffInHrsMins,100);
end;

if sessStartTime <= sessEndTime Then
Begin
timeDiffInHrsMins = (intPortion(sessEndTime/100) - 1)*100 + mod(sessEndTime,100) + 60 - sessEndTime;
timeDiffInMinutes = intPortion(timeDiffInHrsMins/100) * 60 + mod(timeDiffInHrsMins,100);
end;

numBarsInCompleteSession = timeDiffInMinutes/barInterval;

Array_setmaxindex(theoTimes,numBarsInCompleteSession);

timeSum = startTime;
for arrayIndex = 1 to numBarsInCompleteSession
Begin
timeSum = timeSum + barInterval;
if mod(timeSum,100) = 60 Then
timeSum = timeSum - 60 + 100;
if timeSum = 2400 Then
timeSum = 0;
theoTimes[arrayIndex] = timeSum;

print(d," theo time",arrayIndex," ",theoTimes[arrayIndex]);
end;

if startTime > endTime Then
Begin
timeDiffInHrsMins = 2360 - startTime;
timeDiffInMinutes = intPortion(timeDiffInHrsMins/100) * 60 + mod(timeDiffInHrsMins,100);
timeDiffInHrsMins = endTime - 0;
timeDiffInMinutes += intPortion(timeDiffInHrsMins/100) * 60 + mod(timeDiffInHrsMins,100);
end;

if startTime <= endTime Then
Begin
timeDiffInHrsMins = (intPortion(endTime/100) - 1)*100 + mod(endTime,100) + 60 - startTime;
timeDiffInMinutes = intPortion(timeDiffInHrsMins/100) * 60 + mod(timeDiffInHrsMins,100);
end;

numBarsInSession = timeDiffInMinutes/barInterval;

Array_setmaxindex(validTimes,numBarsInSession);

startTimeStamp = calcTime(startTime,barInterval);

timeSum = startTime;
for arrayIndex = 1 to numBarsInSession
Begin
timeSum = timeSum + barInterval;
if mod(timeSum,100) = 60 Then
timeSum = timeSum - 60 + 100;
if timeSum = 2400 Then
timeSum = 0;
validTimes[arrayIndex] = timeSum;
print(d," valid times ",arrayIndex," ",validTimes[arrayIndex]," ",numBarsInSession);
end;
for arrayIndex = 1 to numBarsInCompleteSession
begin
if startTimeStamp = theoTimes[arrayIndex] then
validStartTime = True;
if endTime = theoTimes[arrayIndex] Then
validEndTime = True;
end;
end;

if validStartTime = False or validEndTime = false Then
error = True;

if error = False Then
Begin
for arrayIndex = 1 to numBarsInSession
Begin
if t = validTimes[arrayIndex] Then
begin
CanTradeThisTime = True;
break;
end;
end;
end;
Complete CanTradeThisTime function code

Sandbox Strategy function driver

inputs: startTime(1800),endTime(1500);

if canTradeThisTime(startTime,endTime) Then
if d = 1231206 or d = 1231207 then
print(d," ",t," can trade this time");

I hope you find this useful.  Remember to purchase by Easing into EasyLanguage books at amazon.com.  The DayTrade edition is still on sale.  Email me with any question or suggestions or bugs or anything else.

 

 

Pyramania Levels with 24-Hour Session – Free Code

Easing Into EasyLanguage-DayTrade Edition [On SALE Now thru November]

Get Your Copy Now!  On sale now for thru the end of November!

EZ-DT Pyramania is a strategy I introduced in the Day Trade Edition.  The logic is rather simple – pyramid as the market moves through multiple levels during the trading day. – buy, buy, buy, dump or buy, dump, short, short, short, dump.  The distance between the levels is constant.  In the book, I showed an algorithm with a total of 6 levels with 7 edges.

Pyramania of @ES.D

Here the market opens @ 9:30 and the levels are instantly plotted and trades are executed as the market moves through the levels located above the open tick.  Over the weekend, I had a reader ask how he could modify the code to plot the levels on the 24-hour @ES session.  In the day session, I used the change in the date as the trigger for the calculation and plotting of the levels.  Here is the day session version.

inputs:numSegments(6),numPlots(6);

arrays: segmentBounds[](0);

variables: j(0),loopCnt(0),segmentSize(0),avgRng(0);
once
Begin
Array_SetMaxIndex(segmentBounds, numSegments);
end;

if d <> d[1] Then // only works on the @ES.D or any .D session
begin
avgRng = average(range of data2,20);
segmentSize = avgRng/numSegments;
loopCnt = -1*numSegments/2;
for j = 0 to numSegments
begin
segmentBounds[j] = openD(0) + loopCnt * segmentSize;
loopCnt = loopCnt + 1;
end;
end;

//The following time constraint only works when all time stamps
//are less than the end of day time stamp
//This will not work when time = 1800 and endTime = 1700
if t < calcTime(sessionEndTime(0,1),-barInterval) Then
begin
if numPlots >= 1 then plot1(segmentBounds[0],"Level 0");
if numPlots >= 2 then plot2(segmentBounds[1],"Level 1");
if numPlots >= 3 then plot3(segmentBounds[2],"Level 2");
if numPlots >= 4 then plot4(segmentBounds[3],"Level 3");
if numPlots >= 5 then plot5(segmentBounds[4],"Level 4");
if numPlots >= 6 then plot6(segmentBounds[5],"Level 5");
if numPlots >= 7 then plot7(segmentBounds[6],"Level 6");
// plot8(segmentBounds[7],"Level 7");
// plot9(segmentBounds[8],"Level 8");
end;
Works great with @ES.D or any @**.D

I like this code because it exposes you to arrays, loops, and plotting multiple values.  You can fix this by modifying and adding some code.  I used the Trading Around Midnight blog post to get the code I needed to enable plotting around 0:00 hours.  Here is the updated code:

inputs:numSegments(6),numPlots(6);
arrays: segmentBounds[](0);
variables: j(0),loopCnt(0),segmentSize(0),avgRng(0),
startTime(0),endTime(0),endTimeOffset(0);

once
Begin
Array_SetMaxIndex(segmentBounds, numSegments);
end;

startTime = sessionStartTime(0,1);
endTime = sessionEndTime(0,1);
//let TS tell you when the market opens - remember the
//first time stamp is the open time + bar interval
if t = calcTime(sessionStartTime(0,1),barInterval) Then
begin
avgRng = average(range of data2,20);
segmentSize = avgRng/numSegments;
loopCnt = -1*numSegments/2;
for j = 0 to numSegments
begin
segmentBounds[j] = open + loopCnt * segmentSize;
loopCnt = loopCnt + 1;
end;
end;

// if startTime > endTime then you know you are dealing with
// timees that more than likely bridges midnight
// if time is greater then 1700 (end time) then you must
// subtract an offset so it makes sense - endTimeOffset
// play with the math and it will come to you
if startTime > endTime then
begin
endTimeOffset = 0;
if t >= startTime+barInterval and t<= 2359 then
endTimeOffSet = 2400-endTime;
end;
if t-endTimeOffSet < endTime Then
begin
if numPlots >= 1 then plot1(segmentBounds[0],"Level 0");
if numPlots >= 2 then plot2(segmentBounds[1],"Level 1");
if numPlots >= 3 then plot3(segmentBounds[2],"Level 2");
if numPlots >= 4 then plot4(segmentBounds[3],"Level 3");
if numPlots >= 5 then plot5(segmentBounds[4],"Level 4");
if numPlots >= 6 then plot6(segmentBounds[5],"Level 5");
if numPlots >= 7 then plot7(segmentBounds[6],"Level 6");
// plot8(segmentBounds[7],"Level 7");
// plot9(segmentBounds[8],"Level 8");
end;
Modification to plot data around midnight

Here I let TS tell me with the market opens and then use some simple math to make sure I can plot with the time is greater than and less than the end of day time.

Plots from 18:05 through midnight until 17:00 the next day.

Email me if you have the book and want to companion code to the strategy – georgeppruitt@gmail.com

 

 

 

 

Can You Turn Failure into Success?

Have You Ever Wondered If You Just Reversed the Logic?

You have been there before. What you thought was a great trading idea turns out to be a big flop. We have all developed these types of algorithms. Then it hits you, just flip the logic and in turn the equity curve. Hold your horses! First off you have to make sure it’s not just the execution costs that is hammering the equity curve into oblivion. When testing a fresh trading idea, it is best to keep execution costs to zero. This way if your idea is a good one, but is simply backward, then you have a chance of creating something good out of something bad. I was playing around with a mean reversion day trading algorithm (on the @ES.D – day session of the mini S&P 500) that created the following equity curve.  Remember to read the disclaimer concerning hypothetical performance before proceeding reading the rest of this blog.  It is located under the DISCLAIMER – REAMDE! tab.  By reading the rest of this blog post it implies that you understand the limitations of hypothetical back testing and simulated analysis.

The pandemic created a strong mean reversion environment. In the initial stage of this research, I did not set the executions costs – they defaulted to zero. My idea was to buy below the open after the market moved down from the high of the day a certain percentage of price. Since I was going to be buying as the market was moving down, I was willing to use a wide stop to see if I could hold on to the falling knife. Short entries were just the opposite -sell short above the open after the market rallied a certain percentage of price. I wanted to enter on a hiccup. Once the market moved down a certain range from the high of the day, I wanted to enter on a stop at the high of the prior bar. I figured if the price penetrated the high of the prior five-minute bar in a down move, then it would signal an eventual rotation in the market. Again, I was just throwing pasta against the wall to see what would stick. I even came up with a really neat name for the algorithm the Rubber Band system – stretch just far enough and the market is bound to slam back. Well, there wasn’t any pasta sticking. Or was there? If I flipped the equity curve 180 degrees, then I would have a darned good strategy. All it would take is to reverse the signals, sell short when I was buying and buy when I was selling short. Instead of a mean reversion scheme, this would turn into a momentum-based strategy.

Here are the original rules.

maxCloseMinusOpen = maxList(close - todaysOpen,maxCloseMinusOpen);
maxOpenMinusClose = maxList(todaysOpen - close,maxOpenMinusClose);

if c < todaysOpen and todaysOpen-c = maxOpenMinusClose and
(maxCloseMinusOpen + maxOpenMinusClose)/c >= stretchPercent Then
canBuy = True;
if c > todaysOpen and c- todaysOpen = maxCloseMinusOpen and
(maxCloseMinusOpen + maxOpenMinusClose)/c >= stretchPercent Then
canShort = True;
Guts of the complete failure.

Here I measure the maximum distance from the highest close above the open and the lowest close below the open.  The distance between the two points is the range between the highest and lowest closing price of the current day.  If the close is less than today’s open, and the range between the extremes of the highest close and lowest close of the trading day is greater than stretchPercent, then an order directive to buy the next bar at the current bar’s high is issued.  The order is alive until it is filled, or the day expires.  Selling short uses the same calculations but requires the close of the current bar to be above the open.   The stretchPercent was set to 1 percent and the protective stop was set to a wide $2,000.  As you can see from the equity curve, this plan did not work except for the time span of the pandemic.  Could you optimize the strategy and make it a winning system.  Definitely.  But the 1 percent and $2000 stop seemed very logical to me.  Since we are comparing the range of the data to a fixed price of the data, then we don’t need to worry about the continuous contract distortion.  Maybe we would have to, if the market price was straddling zero.  Anyways, here is a strategy using the same entry technique, but reversed, with some intelligent trade filtering.  I figured a profit objective might be beneficial, because the stop was hit several times during the original test.

$2K was hit often!
Using some trade filtering and stop loss and profit objective on the reversal of the original strategy.

If you like the following code, make sure you check out my books at Amazon.com.  This type of code is used the Hi-Res and Day-Trading editions of the Easing_Into_Easylanguage series.

input: stretchPercent(0.01),stopLoss(1000),takeProfit(1000),
dontTradeBefore(930),dontTradeBeforeOffset(5),
dontTradeAfter(1500),dontTradeAfterOffset(5),
rangeCompressionPercent(0.75);

vars: buysToday(0),shortsToday(0),mp(0),atr(0),canBuy(False),canShort(False),canTrade(False);
vars: todaysOpen(0),maxCloseMinusOpen(0),maxOpenMinusClose(0);
if t = sessionStartTime(0,1)+barInterval Then
Begin
todaysOpen = open;
maxCloseMinusOpen = 0;
maxOpenMinusClose = 0;
buysToday = 0;
shortsToday = 0;
canTrade = False;
atr = avgTrueRange(20) of data2;
if trueRange of data2 < atr * rangeCompressionPercent Then
canTrade = True;
canBuy = False;
canShort = False;

end;

mp = marketPosition;

if mp = 1 and mp <> mp[1] then buysToday +=1;
if mp =-1 and mp <> mp[1] then shortsToday +=1;

maxCloseMinusOpen = maxList(close - todaysOpen,maxCloseMinusOpen);
maxOpenMinusClose = maxList(todaysOpen - close,maxOpenMinusClose);

if c < todaysOpen and todaysOpen-c = maxOpenMinusClose and
(maxCloseMinusOpen + maxOpenMinusClose)/c >= stretchPercent Then
canShort = True;
if c > todaysOpen and c- todaysOpen = maxCloseMinusOpen and
(maxCloseMinusOpen + maxOpenMinusClose)/c >= stretchPercent Then
canBuy = True;


if canTrade and t >= calcTime(dontTradeBefore,dontTradeBeforeOffset) and
t < calcTime(dontTradeAfter,dontTradeAfterOffset) and t < sessionEndTime(0,1) Then
begin
if shortsToday = 0 and canShort = True Then
sellshort next bar at l stop;
if buysToday = 0 and canBuy = True Then
buy next bar at h stop;
end;


setExitOnClose;
setStopLoss(stopLoss);
setProfitTarget(takeProfit);
The anti Rubber Band Strategy

Trade filtering was obtained by limiting the duration during the trading day that a trade could take place.  It’s usually wise to wait a few minutes after the open and a few minutes prior to the close to issue trade directives.  Also, range compression of the prior day seems to help in many cases.  Or at least not range expansion.   I only allow one long entry or one short or both during the trading day – two entries only!  Read the code and let me know if you have any questions.  This is a good framework for other areas of research.  Limiting entries using the mp variable is a neat technique that you can use elsewhere.

And as always let me know if you see any bugs in the code.  Like Donnie Knuth says, “Beware of bugs in the above code; I have only proved it correct, not tried it!”

Should we just ignore rollovers in back-testing futures?

To Rollover or not to Rollover – that is the Question!

In actuality that is only a portion of what we need to ask ourselves when dealing with rollovers and data.  As you probably already know, continuous futures contracts are created by adjusting historic data in an attempt to eliminate the gap between the new and old contract.  If you don’t adjust your data, then the gap causes erroneous disruptions in your historic back testing.  A trade that bridges a rollover does not accurately reflect what really happened.  So, we must use adjusted data.  Two problems arise from using back adjusted data:

  1. The date of the rollover can have a large impact on algorithm performance.
  2.  In real time trading, rollovers must take place, and this increases execution costs.  If you trade a longer-term strategy, you may need to execute 12 additional spreads (exit old – enter new) in crude oil annually.  If you levy a $50 charge (slip and commission) for each turn, then that is $600 in additional costs annually.

Several options can be used to trigger when to rollout of the expiring contract and roll into the new one.  Some traders use consecutive days of higher volume and open interest in the new contract in relation to the expiring one to begin the process.  This mechanism is also popular in creating continuous contract data.  Other traders, and I was one of them, chose a particular trading day of the month based on the expiring date of the contract.  Many futures contracts expire after a certain number of days have passed in the expiring month or the prior month of expiration.  This mechanism, n-days into the expiring month, can also be used when creating continuous contracts.

Using TradeStation’s Default @CL

Using Wilder’s Parabolic SAR Algorithm

$50 levied for execution costs

Using Pinnacle Data’s Adjusted Data for CL

$50 levied for execution costs

The two equity curves are similar.  However, TradeStation’s data produced nearly $60K in profit, whereas Pinnacle only produced north of $20K.  I discovered in the early part of TradeStation’s @CL data, the values were derived strictly from the electronic markets.  Up until about 2008 or so, I think the pits were still more active.  Take a look at this graphic.

Nov-Dec 2004 – see how the pit data looks more valid

Pinnacle Data knits the pit session data with the purely electronic data during the transition period.  However, this only accounts for the early trades in the back test.  The parabolic indicator uses its prior output to calculate the next value.  Any disruption in the differences in the relationships of historic highs and lows of the data will perpetuate through the output of subsequent parabolic calculations.  Things start to work themselves out later in the back test.  Indicators like the Parabolic are more sensitive to data differences.

What if you wanted to trade the Parabolic SAR real time?

This can be done, but results may look different than your back test.  In trading crude oil, you should trade all 12 contracts.   And you will need to execute roll spreads once a month, if you are in a position.  This doesn’t answer the question on how to calculate the Parabolic once a rollover takes place.  You have two options, 1.) you can use what Futures Truth coined as overlap data to calculate the new indicator reading.  Basically, we would load the new contract data going back as far as we could and derive the indicator values off of the new data.  This would work just fine with crude data, but many futures do not have a sufficient amount of overlap.  In other words, the new contract would have very little history.  And this data wasn’t sufficient to calculate accurate indicator values.  2.) Roll into the new contract and adjust the historical data of the old contracts by the discount between the two contracts that were rolled out of and into.  This would alleviate the problems with the futures contract with very little history.

I like the second option best, because it works for all markets and even in crude oil you may not have overlap data to do the calculation.  Even if you have enough data, it might not be all that good.  If you can go back 100 days in the new contract, the data may deteriorate before you get those 100 days.

Data starts deteriorating well before 100 days back.

Wouldn’t it be great if we could test with this type of data?  You know rollover and then adjust all the historic data that we need for our indicators using good data from the old contracts, but adjusted in terms of our new data?  Well, we are in luck, I spent several hours doing this with my Python TS-18 software.  I used Pinnacle Data‘s actual contract data – you get this when you buy their CLC database and derived the discount between the contracts.  Pinnacle rolls at the same time each month in crude – it’s not a calendar date but a number of days into the prior expiration month.    Take a look at this trade-by-trade listing.

Trade-by-trade with rollovers.

This shows rolling out of the old contract and into the new contract, and then backing up 100 days of old contract data and adjusting the data by the discounts as they occur.  This could involve more than three adjustments historically.  This rollover inspired data was then fed into the parabolic indicator.  The indicator was restarted on each rollover going back N days.  In other words, when a rollover was observed, the indicator was reset with the new rollover adjusted historic data by using a loop.  The rollover mechanism called the parabolic calculation N times going back N days into our dynamically adjusted data.  Once the loop finished, the new contract data was then fed into the calculation on day at a time.  This occurred until another rollover was observed.

I would show the results of this testing but…

I got very diverse results when I recalculated the parabolic on each rollover with different loop counts.  On the rollover, if I looped back 40 days to bring the parabolic up to speed, I got very similar results to TradeStation’s results using Pinnacle data.  What the heck I will show that to you.

TS-18 Results with rollovers

The results are similar but the draw down of late concerns me.  However, if I only go back 30 days to synchronize the parabolic on each rollover, the results are much better.  This tells me that the parabolic is very sensitive to the data that is used for its calculations.

This post may have raised more questions than it answered.  But I will try to get down to the differences between the different look back lengths on rollover and report any findings back here.  However, you must keep rollovers in mind when dealing with trading futures, period.

 

 

Replicating Daily Bar Daytrade with Intraday Data – EasyLanguage

Daily Bar Daytrade to 5 Minute Bars — Not So Easy!

Like in the previous post, I designed a simple optimization framework trying to determine the best day of the week to apply a long only volatility based open range break out algorithm on natural gas.  You might first ask why natural gas?  Its a good market that has seasonal tendencies that can actually be day-traded – there is enough volatility and volume.  Anyway, by simply slapping setExitOnClose at the end of your code turns your algorithm into one that exits every day at the settlement (fictional value that is derived via formula) price.  You can always use LIB (look inside bar) to help determine the magnitude of intraday swings and there respective chronological order.  But you are still getting out at the settlement price – which isn’t accurate.  However, if you are trying to get a set of parameters that gets you into the ballpark, then this is a very acceptable approach.  But you will always want to turn you daily bar strategy with LIB intro an intraday version for automation and accuracy purposes.

Day of Week Analysis On Intraday Data

When you optimize the day of week on daily bars, the first bar of the week is usually Monday.  When testing with intraday bars on futures, the trading actually starts on Sunday evening.  If your daily bar analysis reveals the best day of week is Wedneday, then you must inform TradeStation to take the trade from the opening on Tuesday night through the close on Wenesday.  If you are executing a market order, then you just need to tell TradeStation to execute at Tuesday night’s open (1800 eastern standard time).  The TRICK to allow trading throughout the 24 hour session (1800 to 1700) on just a particular day of the week is to capture the day of the week on the first bar of the trading session.  Here is some bookkeeping you can take care of on the first bar of the trading session.

if t = sessionstartTime(0,1) + barInterval Then
Begin

todaysOpen = o;
openDOW = dayOfWeek(d);
canBuy = False;
if openDOW = daysOfWeekToTrade then canBuy = True;
if canBuy and d[1] <> date of data2 then
begin
canBuy = False;
print(d," turning off canBuy");
end;

if mp = 1 then curTradeDays = curTradeDays + 1;
if mp = 0 then curTradeDays = 0;
barsToday = 1;
end;
Bookkeeping on the first bar of trading session

Here, I check to see if the first bar’s time stamp is equal to the sessionStarttime + barInterval.  Remember TradeStation shows the close time of each bar as the time stamp.  If adding a barInterval to the opening time results in a non-time, then use the calcTime function ( 1800 + 60 = 1860 – a non-time.)   I first store the open of the session in my variable todaysOpen.  Why not just use openD(0).  Well openD(0) is great for sessions that don’t span midnight.  If they span midnight then the openD returns the open of the12:00 am bar.  Here is the output from August 9th with the open on August 8th at 1800.  The two other values are midnight on August 8th and August 7th.  So the openD, highD, lowD, and closeD functions involve the 24 hour clock and not the session.

print(todaysOpen:5:5," ",openD(0):5:5," ",openD(1):5:5);

        18:00  midnite[0]   midnite[1]
--------------------------------------
1230808 2.797        2.712      2.588  

On the first bar of the trading session I also capture the day of the week.  The days of the week, using intraday data on a 24 hour session, range from Sunday to Thursday, instead of Monday thru Friday.  CanBuy is turned on if the day of week equals the input provided by the user.  When using daily bars and you optimize the day of the week, remember if you chose 2 or Tuesday you really mean Wednesday.  If today is Tuesday, then buy next bar at…  This will generate trades only on Wednesdays.  When testing on intraday data you do not need to make a modification for the day of week.  If the first bar of the trading session is Tuesday, then you will actually trade what is considered the Wednesday session that starts on Tuesday evening at 18:00.

What About Holidays?

Here is a quick trick to not trade on Holidays.  The daily bar does not include preempted sessions in its database, whereas intraday data does.  So, if at 18:00 the date of the prior bar does not match the date of the daily bar located in the Data2 slot, then you know that the prior day was preempted and you should not trade today.  In other words, Data2 is missing.  Remember, you only want to trade on days that are included in the daily bar database in your attempt to replicate the daily bar strategy.

date             close   moving average
1230703.00 data2         2.57382 2.70300
1230704.00 missing data2 2.57382 2.70300 <-- no trade
1230705.00 data2         2.57485 2.65100 <-- matches

How to count the daily bars since entry.

Here again you need to do some bookkeeping.  If you are long on the first bar of the day, then you have been in the trade for at least a day.  If you are long on two first bars of the trading session, then you have been long for two days.  I use the variable, curTradeDays, to count the number of days we have been in the trade.  If on the first bar of the trading session we are flat, then I reset curTradeDays to zero.  Otherwise, I increment the variable and this only occurs once a day.  You can optimize the daysInTrade input, but for this post we are just interested in getting out at the close on the day of entry.

Controlling one entry per day.

We only want one long entry per day in an attempt to replicate the daily bar system.  There are several ways to do this, but comparing the current bar’s marketPosition to the prior bar’s value will inform you if a position has been transitioned from flat to long.  If the prior bar’s position if flat and the current bar is now long, then we can turn our canBuy off or to false.  If we get stopped out later and the market rallies again to our break out level, we will not execute at that level, because the trade directive will not be issued.  Why not use the entriesToday function?  Again midnight cause this function to reset.  Say you go long at 22:00 and you do not want to enter another position until the tomorrow at 18:00.  EntriesToday will forget you entered the long position at 22:00.

1220726.00 2350.00 entries today 1.00
1220726.00 2355.00 entries today 1.00
1220727.00 0.00 entries today 0.00 < not true!

Cannot execute on the first bar of the day – does it matter?

Since this is an open range break out, we need to know what the open is prior to our break out calculation.  Could the break out level be penetrated on the first 5 minute bar?  Sure, but I bet it is rare.  I tested this and it only occurred 4 or 5 times.  In a back-test, if this occurs and the subsequent bar’s open is still above the break out level, TradeStation will convert the stop order to a market order and you will buy the open of the 2nd five minute bar.  In real time trading, you must tell TradeStation to wait until the end of the first 5 minute bar before issuing the trade directive to replicate your back testing.  If this is an issue, you can test with 5 minute bars, but execute on 1 minute bars.  In other words, have your testing chart and an additional execution chart.  Skipping the first 5 minute bar may be advantageous.  Many times you will get a surge at the open and then the market falls back.  By the time the first 5 minute bar concludes the market may be trading back below your break out level.  You might bypass the bulge. But your still in the game.  Here is how you can test the significance of this event.

	if canBuy and h > todaysOpen + volAmt *volMult then 
Begin
print(d," first bar penetration ",value67," ",value68," ",(c - (todaysOpen + volAmt *volMult))*bigPointValue );
value67 = value67 + 1;
value68 = value68 + (c - (todaysOpen + volAmt *volMult))*bigPointValue;
end;
Testing for penetration on first 5 minute bar of the day

By the end of the first bar of the day we know the open, high, low and close of the day thus far.  We can test to see if the high would have penetrated the break out level and also calculate the profit or loss of the trade.  In a back-test you will not miss this trade if the next bar’s open is still above the break out level.  If the next bar’s open is below the break out level, then you may have missed a fake out break out.   Again this is a rare event.

The rest of the code in its entirety

inputs: daysOfWeekToTrade(1),mavLen(20),volLen(10),volMult(0.25),volComp(.5),stopLoss(500),profitTarget(1000),daysInTrade(0),llLookBack(2);

vars: todaysOpen(0),curTradeDays(0),mp(0),barsToday(0),
openDOW(0),canBuy(False),volAmt(0),movAvg(0);


mp = marketPosition;

if t = sessionstartTime(0,1) + barInterval Then
Begin
todaysOpen = o;
openDOW = dayOfWeek(d);
canBuy = False;
if openDOW = daysOfWeekToTrade then canBuy = True;
if canBuy and d[1] <> date of data2 then
begin
canBuy = False;
end;

if mp = 1 then curTradeDays =curTradeDays + 1;
if mp = 0 then curTradeDays = 0;
barsToday = 1;

volAmt = average(range of data2,volLen);
movAvg = average(c,mavLen) of data2;
if canBuy and h > todaysOpen + volAmt *volMult then
Begin
print(d," first bar penetration ",value67," ",value68," ",(c - (todaysOpen + volAmt *volMult))*bigPointValue );
value67 = value67 + 1;
value68 = value68 + (c - (todaysOpen + volAmt *volMult))*bigPointValue;
end;
end;

if mp[1] = 0 and mp = 1 and canBuy then canBuy = False;

if canBuy and t <> sessionEndTime(0,1) Then
Begin
if barsToday > 1 and
close of data2 > movAvg and
range of data2 > volAmt * volComp then
buy("DMIntraBuy") next bar at todaysOpen + volAmt *volMult stop;
end;
barsToday = barsToday + 1;

if daysInTrade = 0 then
setExitOnClose;

sell("LLxit") next bar at lowest(l of data2,llLookBack) stop;
if mp = 1 and daysInTrade > 0 then
begin
if curTradeDays = daysInTrade then sell("DaysXit") next bar at open;
end;

setStopLoss(stopLoss);
setProfitTarget(profitTarget);
Intrday system that replicates a daily bar day trader

We are using the setStopLoss and setProfitTarget functions in this code.  But remember, if your continuous contract goes negative, then these functions will not work properly.

This type of programming is tricky, because you must use tricks to get EasyLanguage to do what you want it to do.  You must experiment, debug, and program ideas to test the limitations of EasyLanguage to hone your craft.

On the Subject of Data Mining with EasyLanguage

When Mining for Data, Make Sure You Have Accurate Data

Take a look at these results with no execution costs.

Results of Data Mining on Natural Gas

These results were derived by applying a simple algorithm to the natural gas futures for the past 15 or so years.  I wanted to see if there was a day of the week that produced the best results with the following entry and exit techniques:

  • Long entries only
  • Open range break out using a fraction of the N-day average range.
  • Buy in the direction of the moving average.
    • Yesterdays close must be above the X-day moving average of closing prices.
  •  Yesterday must have a wider range than a fractional multiple of the average range.
  • A fixed $stop and $profit used to exit trades.
  • Other exits
    • Exit at low of prior day.
    • Exit at the close of today – so a day trade.

Here is a list of the parameters that can be optimized:

  • daysOfWeekToTrade(1) : 1 – Monday, 2 – Tuesday…
  • mavLen(20): moving average calculation length.
  • volLen(10):  moving average calculation length for range.
  • volMult(0.25): average range multiplier to determine break out/
  • volComp(.5):  yesterday’s range must be greater than this percentage.
  • stopLoss(500): stop loss in $
  • profitTarget(1000): profit objective in $
  • daysInTrade(0): 0 get out at end of day.
  • llLookBack(2): pattern derived stop value – use the lowest low of N-days or the stop loss in $, whichever is closer.

Here is the code:

inputs: daysOfWeekToTrade(1),
mavLen(20),volLen(10),volMult(0.25),volComp(.5),
stopLoss(500),profitTarget(1000),
daysInTrade(0),llLookBack(2);


if dayOfWeek(d) = daysOfWeekToTrade Then
Begin
if close > average(c,mavLen) and range > average(range,volLen)*volComp then
buy("DMDailyBuy") next bar at open of tomorrow + average(range,volLen)*volMult stop;
end;

if daysInTrade = 0 then setExitOnClose;
sell("LLxit") next bar at lowest(l,llLookBack) stop;
if marketPosition = 1 then
begin
if barsSinceEntry = daysInTrade then sell("DaysXit") next bar at open;
end;

setStopLoss(stopLoss);
setProfitTarget(profitTarget);
Mining with bad data!

Why Is This Algorithm Wrong?  It’s Not It’s the Data!

The algorithm, speaking in terms of logic, is accurate. The data is wrong.  You cannot test the exit technology of this algorithm with just four data points per day – open, high, low, and close.  If this simple algorithm cannot be tested, then what can you test on a daily bar basis accurately?

  • Long or short entry, but not both.
    • If the algorithm can enter both long and short, you need to know what occurred first.  Doesn’t matter if you enter via stop or limit orders.  Using a stop order for both, then you need to know if the high occurred first and got you long, and then later the low and got you short.  Or just the opposite.  You can test, with the benefit of hindsight, if only one of the orders would have been elected.  If only one is elected, then you can proceed.  If both then no-go.  You must be able to use future leak to determine if only one of the orders were fillable.  TS-18 allows future leak BTW.  I say that like it’s a good thing!
  • L or S position from either a market or stop, and a profit objective.
    • If a long position is entered above the open, via a stop, and then the market moves even higher, you can get out on a sell limit for a profit.
    • Same goes for the short side, but you need to know the magnitude of the low price in relation to the open.
  • L or S position from either a market or limit and a protective stop.
    • If short position is entered above the open, via a limit order, and the market moves even higher, you can exit the short position at a loss via a buy stop order.
    • Same goes for the long side, but you need to know the magnitude of the high in relation to the open.
  • Long pyramid on multiple higher stop or lower limit orders, but not both.
    • The market opens and then sells off. You can go long on a limit order below the open, then you go long another unit below the original limit price and so on…
    • The market opens and rallies.  You can go long on a stop order above the open, then you can go long another unit above the original stop price and so on…
  • Short pyramid on multiple lower stop or higher limit orders.
    • Same as long entries but in opposite direction.

Can’t you look at the relationships of the open to low and open to high and close to high and close to low and determine which occurred first, the high or the low of the day.  You can, but there is no guarantee.  And you can’t determine the magnitude of intraday day swings.  Assume the market opens and immediately moves down and gets you short via a stop order.  And from looking at a daily chart, it looks like the market never turned around, so you would assume you had a profit going into the close.  But in fact, after the market opened and moved down, it rallied back to the open enough to trigger a protective stop you had working.

The entry technique of this strategy is perfectly fine.  It is only buying in the direction of a breakout.  The problems arise when you apply a profit objective and a stop loss and a pattern-based stop and a market on close order.    After buying did the market pull back to get you stopped out before moving up to get you out at profit objective?  Did the market move up and then down to the prior lowest low of N days and then back up to get you long?  Or just the opposite? In futures, the settlement price is calculated with a formula.  You are always exiting at the settlement price with an MOC or setExitOnClose directive (daily bar basis.)

No Biggie – I Will Just Test with LIB (Look Inside Bar.  That should fix it, right?

It definitely will increase accuracy, because you can see the intraday movements that make up the daily bar.  So, your entries and exits should be executed more accurately.  But you are still getting out at the settlement price which does not exist.  Here are the results from using LIB with 5-minute bar resolution.

You saw the beauty now you see the beast.

We Know the Weakness, But What Can We Do?

Test on a 5-minute bar as Data1 and daily as Data2.  This concept is what my Hi-Res Edition of Easing Into EasyLanguage is all about.  Here the results of using a higher resolution data and exiting on the last tick of the trading day – a known quantity.

As accurate as you can get – well with 5 minute bars that is.

These results validate the LIB results, right?  Not 100%, but very close.  Perhaps this run makes more money because the settlement price on the particular days that the system entered a trade was perhaps lower than the last tick.  In other words, when exiting at the end of the day, the last tick was more often higher than the settlement price.

In my next post, I will go over the details of developing an intraday system to replicate (as close as possible) a simple daily bar-based day trading system.  Like the one we have here.

 

 

 

 

Extend Data Mining to Actual Trading System

Data Mining May or May Not Link Causality

A study between ice cream sales and crime rate demonstrated a high level of correlation.  However, it would be illogical to assume that buying more ice cream leads to more crime.  There are just too many other factors and variables involved to draw a conclusion.  So, data mining with EasyLanguage may or may not lead to anything beneficial.  One thing is you cannot hang your hat completely on this type of research.  A reader of my books asked if there was evidence that pointed to the best time to enter and exit a day trade.  Is it better to enter in the morning or in the afternoon or are there multiple trading windows throughout the day?  I thought I would try to answer the question using TradeStation’s optimization capabilities.

If You Like the Theory and its EasyLanguage Code of this Blog Post – Check Out my New Book at Amazon.com

Get Your Copy Now!

Create a Search Space of Different Window Opening Times and Open Duration

My approach is just one of a few that can be used to help answer this question.  To cut down on time and the size of this blog we will only look at day trading the @ES.D from the long side.  The search space boundaries can be defined by when we open the trading window and how long we leave it open.  These two variables will be defined by inputs so we can access the optimization engine.  Here is how I did it with EasyLanguage code.

inputs: openWindowTime(930),openWindowOffset(5),windowDuration(60);
inputs: canBuy(True),canShort(True);



if t >= calcTime(openWindowTime,openWindowOffset) and t < calcTime(openWindowTime,openWindowOffset+windowDuration) Then
Begin
if entriesToday(d) = 0 and canBuy Then
buy next bar at market;
if entriesToday(d) = 0 and canShort Then
sellshort next bar at market ;
end;

if t = calcTime(openWindowTime,openWindowOffset+windowDuration) Then
Begin
if marketPosition = 1 then sell next bar at open;
if marketPosition =-1 then buyToCover next bar at open;
end;
setExitOnClose;
Optimize when to open and how long to leave open

The openWindowTime input is the basis from where we open the trading window.  We are working with the @ES.D with an open time of 9:30 AM eastern.  The openWindowOffset will be incremented in minutes equivalent to the data resolution of the chart, five minutes.  We will start by opening the window at 9:35 and leave it open for 60 minutes.  The next iteration in the optimization loop will open the window at 9:40 and keep it open for 60 minutes as well.  Here are the boundaries that I used to define our search space.

  • window opening times offset: 5 to 240 by 5 minutes
  • window opening duration: 60 to 240 by 5 minutes
Optimization Ranges for Window Open and Open Duration

A total of 1739 iterations will span our search space.   The results state that waiting for twenty minutes before buying and then exiting 190 minutes later, worked best.  But also entering 90 minutes after the open and exiting 4 hours later produced good results as well (no trade execution fee were utilized.)  Initially I was going to limit entry to once per day, but then I thought it might be worthwhile to enter a fresh position, if the first one is stopped out, or pyramid if it hasn’t.  I also thought, each entry should have its own protective stop amount.  Would entering later require a small stop – isn’t most of the volatility, on average, expressed during the early part of the day.

Results of different opening and duration times.

Build a Strategy that Takes on a Secondary Trade as a New Position or One that is Pyramided.

This is not a simple strategy.  It sounds simple and it requires just a few lines of code.  But there is a trick in assigning each entry with its own exit.  As you can see there is a potential for trade overlap.  You can get long 20 minutes after the open and then add on 70 minutes  (90 from the open) later.  If the first position hasn’t been stopped out, then you will pyramid at the second trade entry.  You have to tell TradeStation to allow this to happen.

Allow TradeStation to Pyramid up to 2 positions with different signals.

System Rules

  1. Enter long 20 minutes after open
  2. Enter long 90 minutes after open
  3. Exit 1st entry 190 minutes later or at a fixed $ stop loss
  4. Exit 2nd entry 240 minutes later or at a fixed $ stop loss
  5. Make sure you are out at the end of the day

Sounds pretty simple, but if you want to use different stop values for each entry, then the water gets very muddy.

AvgEntryPrice versus EntryPrice

Assume you enter long and then you add on another long position.  If you examine EntryPrice you will discover that it reflects the initial entry price only.   The built-in variable AvgEntryPrice will be updated with the average price between the two entries.  If you want to key off of the second entry price, then you will need to do a little math.

avgEntryPrice = (entry price 1 + entry price 2) / 2

or ap = (ep1 + ep2) /2

Using this formula and simple algebra we can arrive at ep2 using this formula:  ep2 = 2*ap – ep1.  Since we already know ep1 and ap, ep2 is easy to get to.  We will need this information and also the functionality of from entry.  You tie entries and exits together with the keywords from entry.  Here are the entry and exit trade directives.

if time = calcTime(openTime,entryTime1Offset) then 
buy("1st buy") next bar at open;

if time = calcTime(openTime,entryTime2Offset) then
buy("2nd buy") next bar at open;


if time = calcTime(openTime,entryTime1Offset + exitTime1Offset) then
sell("1st exit") from entry("1st buy") next bar at open;

if time = calcTime(openTime,entryTime2Offset + exitTime2Offset) then
sell("2nd exit") from entry("2nd buy") next bar at open;

if mp = 1 Then
Begin
value1 = avgEntryPrice;
if currentShares = 2 then value1 = avgEntryPrice*2 - entryPrice;
sell("1st loss") from entry("1st buy") next bar at entryPrice - stopLoss1/bigPointValue stop;
sell("2nd loss") from entry("2nd buy") next bar at value1 - stopLoss2/bigPointValue stop;
end;

if mp = 1 and t = openTime + barInterval then sell("oops") next bar at open;
Entry and Exit Directives Code

The trade entry directives are rather simple, but you must use the calcTime function to arrive at the correct entry and exit times.  Here we are using the benchmark, openTime and the offsets of entryTime1Offset and entryTime2Offset.  This function adds (or subtracts if the offset is negative) the offset to the benchmark.  This takes care of when the trading windows open, but you must add the entry1TimeOffset to exit1TimeOffset to calculate the duration the trading window is to remain open.  This goes for the second entry window as well.

Now let’s look at the exit directives.  Notice how I exit the 1st buy entry with the code from entry (“1st buy”).  This ties the entry and exit directives together.  This is pretty much straightforward as well.  The tricky part arrives when we try to apply different money management stops to each entry.  Exiting from the 1st buy requires us to simply subtract the $ in terms of points from entryPrice.  We must use our new equation to derive the 2nd entry price when two contracts are concurrent.   But what if we get stopped out of the first position prior to entering the second position?  Should we continue using the formula.  No.  We need to fall back to entryPrice or avgEntryPrice:  when only one contract or unit is in play, these two variables are equal.  We initially assign the variable value1 to the avgEntryPrice and only use our formula when currentShares = 2.  This code will work a majority of the time.  But take a look at this trade:

Didn’t have an intervening bar to update the 2nd entry price. The first entry price was used as the basis to calculate the stop loss!

This is an anomaly, but anomalies can add up.  What happened is we added the second position and the market moved down very quickly – too quickly for the correct entry price to be updated.  The stop out (2nd loss) was elected by using the 1st entry price, not the second.  You can fix this with the following two solutions:

  1. Increase data resolution and hope for an intervening bar
  2. Force the second loss to occur on the subsequent trading bar after entry.  This means you will not be stopped out on the bar of entry but will have to wait five minutes or whatever bar interval you are working with.
Fixed – just told TS to place the order at the close of the bar where we were filled!

OK – Now How Do We Make this a Viable Trading System

If you refer back to the optimization results you will notice that the average trade (before execution costs) was around $31.  Keep in mind we were trading every day.  This is just the beginning of your research – did we find a technical advantage?  No.  We just found out that you can enter and exit at different times of the trading day, and you can expect a positive outcome.  Are there better times to enter and exit?  YES.  You can’t trade this approach without adding some technical analysis – a reason to enter based on observable patterns.  This process is called FILTERING.   Maybe you should only enter after range compression.  Or after the market closed up on the prior day, or if the market was an NR4 (narrow range 4.)  I have added all these filters so you can iterate across them all using the optimization engine.  Take a look:

filter1 = True;
filter2 = True;

if filtNum1 = 1 then
filter1 = close of data2 > close[1] of data2;
if filtNum1 = 2 Then
filter1 = close of data2 < close[1] of data2;
if filtNum1 = 3 Then
filter1 = close of data2 > open of data2;
if filtNum1 = 4 Then
filter1 = close of data2 < open of data2;
if filtNum1 = 5 Then
filter1 = close of data2 > (h data2 + l data2 + c data2)/3;
if filtNum1 = 6 Then
filter1 = close of data2 < (h data2 + l data2 + c data2)/3;
if filtNum1 = 7 Then
filter1 = openD(0) > close data2;
if filtNum1 = 8 Then
filter1 = openD(0) < close data2;

if filtNum2 = 1 Then
filter2 = trueRange data2 < avgTrueRange(10) data2;
if filtNum2 = 2 Then
filter2 = trueRange data2 > avgTrueRange(10) data2;
if filtNum2 = 3 Then
filter2 = range data2 = lowest(range data2,4);
if filtNum2 = 4 Then
filter2 = range data2 = highest(range data2,4);
Filter1 and Filter2 - filter1 looks for a pattern and filter2 seeks range compression/expansion.

Let’s Search – And Away We Go

I will optimize across the different patterns and range analysis and different $ stops for each entry (1st and 2nd.)

Optimize across patterns and volatility and protective stops for 1st and 2nd entries.

Best Total Profit

Trade when today’s open is greater than yesterday’s close and don’t worry about the volatility.  Use $550 for the first entry and $600 for the second.

Best W:L Ratio and Respectable Avg. Trade

This curve was created  by waiting for yesterday’s close to be below the prior day’s and yesterday being an NR4 (narrow range 4).  And using a $500 protective stop for both the 1st and 2nd entries.

Did We Find the Holy Grail?  Gosh No!

This post served two purposes.  One, how to set up a framework for data mining and two, create code that can handle things that aren’t apparently obvious – entryPrice versus avgEntryPrice!

if filter1 and filter2 Then
begin
if time = calcTime(openTime,entryTime1Offset) then
buy("1st buy") next bar at open;

if time = calcTime(openTime,entryTime2Offset) then
buy("2nd buy") next bar at open;
end;
Incorporating Filter1 and Filter2 in the Entry Logic

 

The Day Trading Edition of Easing Into EasyLanguage Now Available!

Learn Pyramiding, Scaling In or Out, Camarilla, Break Out and Clear Out techniques in day trading environment.

Get Your Copy Now!
  • Chapter 1 – Open Range Break Out and other Sundries
  • Chapter 2 – Improving Our ORBO with Pattern Recognition
  • Chapter 3 – Time based Breakout
  • Chapter 4 – Trading After the Lunch Break
  • Chapter 5 – Extending Our Break Out Technology With Pyramiding and Scaling Out
  • Chapter 6 – Scaling Out of Pyramided and multiple Positions
  • Chapter 7 – Pyramania
  • Chapter 8 – Introduction to Zone Trading with the Camarilla
  • Chapter 9 – Day Trading Templates Appendix
A Chart from Chapter 8 – Camarilla Equation

Take a look at this function that spans the entire search space of all the combinations of the days of the week.

inputs: optimizeNumber(numericSimple);
arrays: dowArr[31]("");
vars: currDOWStr(""),daysOfWeek("MTWRF");

//Once
//begin
print(d," ",t," assigning list ");
dowArr[1]="MTWRF";dowArr[2]="MTWR";
dowArr[3]="MTWF";dowArr[4]="MTRF";
dowArr[5]="MWRF";dowArr[6]="TWRF";
dowArr[7]="MTW";dowArr[8]="MTR";
dowArr[9]="MTF";dowArr[10]="MWR";
dowArr[11]="MWF";dowArr[12]="MRF";
dowArr[13]="TWR";dowArr[14]="TWF";
dowArr[15]="TRF";dowArr[16]="WRF";
dowArr[17]="MT";dowArr[18]="MW";
dowArr[19]="MR";dowArr[20]="MF";
dowArr[21]="TW";dowArr[22]="TR";
dowArr[23]="TF";dowArr[24]="WR";
dowArr[25]="WF";dowArr[26]="RF";
dowArr[27]="M";dowArr[28]="T";
dowArr[29]="W";dowArr[30]="R";
dowArr[31]="F";
//end;

OptimizeDaysOfWeek = False;
if optimizeNumber > 0 and optimizeNumber < 32 Then
Begin
currDOWStr = midStr(daysOfWeek,dayOfWeek(d),1);
if inStr(dowArr[optimizeNumber],currDOWStr) <> 0 Then
OptimizeDaysOfWeek = True;
end;
All The Permutations of the Days of the Week

 

Trade after the Lunch Break in Apple

Williams Awesome Oscillator Indicator and Strategy

Awesome Oscillator

This is a very simple yet telling analysis.  Here is the EasyLanguage:

[LegacyColorValue = true]; 



Vars:oscVal(0),mavDiff(0);


mavDiff= Average((h+l)/2,5)-Average((h+l)/2,34);
oscVal = mavDiff - average(mavDiff,5);

Plot3( 0, "ZeroLine" ) ;

if currentbar>=1 then
if oscVal>oscVal[1] then plot1(mavDiff,"+AO")
else plot2(mavDiff,"-AO")
Williams Awesome Oscillator Source Code

And here is what it looks like:

Williams Awesome Oscillator

The code reveals a value that oscillates around 0.  First calculate the difference between the 5-day moving average of the daily midPoint (H+ L)/2 and the 34-day moving average of the midPoint.    A positive value informs us that the market is in a bullish stance whereas a negative represents a bearish tone.  Basically, the positive value is simply stating the shorter-term moving average is above the longer term and vice versa. The second step in the indicator calculation is to subtract the 5-day moving average of the differences from the current difference.  If the second calculation is greater than the prior day’s calculation, then plot the original calculation value as green (AO+).  If it is less (A0-), then paint the first calculation red.  The color signifies the momentum between the current and the five-day smoothed value.

Awesome Indicator Strategy

mavDiff= Average((h+l)/2,5)-Average((h+l)/2,34);
oscVal = mavDiff - average(mavDiff,5);


mp = marketPosition;
mavUp = countIf(mavDiff > 0,30);
mavDn = countIf(mavDiff < 0,30);

value1 = countIf(oscVal > oscVal[1],10);

oscRatio = value1/10*100;
The beginning of an AO based Strategy

Here I am using the very handy countIf function.  This function will tell you how many times a Boolean comparison is true out of the last N days.  Her I use the function twice, but I could have replaced the second function call with mavDn = 30 – mavUp.  So, I am counting the number of occurrences of when the mavDiff is positive and negative over the past 30-days.  I also count the number of times the oscVal is greater than the prior oscVal.  In other words, I am counting the number of green bars.  I create a ratio between green bars and 10.  If there are six green bars, then the ratio equals 60% This indicates that the ratio of red bars would be 40%.  Based on these readings you can create trade entry directives.

if canShort and mavUp > numBarsAbove and mavDiff > minDiffAmt and oscRatio >= obRatio then
sellShort next bar at open;

if canBuy and mavDn > numBarsBelow and mavDiff < -1*minDiffAmt and oscRatio <= osRatio Then
buy next bar at open;
Trade Directives

If the number of readings out of the last 30 days is greater than numBarsAbove and mavDiff is of a certain magnitude and the oscillator ratio is greater than buyOSCRatio, then you can go short on the next open.  Here we are looking for the market to converge.  When these conditions are met then I think the market is overbought.  You can see how I set up the long entries.  As you can see from the chart it does a pretty good job.  Optimizing the parameters on the crude oil futures yielded this equity curve.

Too few trades!

Not bad, but not statistically significant either.  One way to generate more trades is to install some trade management such as protective stop and profit objective.

Using wide stop and profit objective.

Using a wide protective stop and large profit objective tripled the number of trades.  Don’t know if it is any better, but total performance was not derived from just a couple of trades.  When you are working with a strategy like this and overlay trade management you will often run into this situation.

Exiting while conditions to short are still turned on!

Here we either get stopped out or take a profit and immediately reenter the market.  This occurs when the conditions are still met to short when we exit a trade.  The fix for this is to determine when an exit has occurred and force the entry trigger to toggle off.  But you have to figure out how to turn the trigger back on.  I reset the triggers based on the number of days since the triggers were turned off – a simple fix for this post.  If you want to play with this strategy, you will probably need a better trigger reset.

I am using the setStopLoss and setProfitTarget functionality via their own strategies – Stop Loss and Profit Target.  These functions allow exit on the same as entry, which can be useful.  Since we are executing on the open of the bar, the market could definitely move either in the direction of the stop or the profit.  Since we are using wide values, the probability of both would be minimal.  So how do you determine when you have exited a trade.  You could look the current bar’s marketPosition and compare it with the prior bar’s value, but this doesn’t work 100% of the time.  We could be flat at yesterday’s close, enter long on today’s open and get stopped out during the day and yesterday’s marketPosition would be flat and today’s marketPosition would be flat as well.  It would be as if nothing occurred when in fact it did.

Take a look at this code and see if it makes sense to you.

if mp[1] = 1 and totalTrades > totTrades then
canBuy = False;

if mp[1] = -1 and totalTrades > totTrades then
canShort = False;

if mp[1] = 0 and totalTrades > totTrades then
Begin
if mavDiff[1] < 0 then canBuy = False;
if mavDiff[1] > 0 then canShort = False;
end;

totTrades = totalTrades;
Watch for a change in totalTrades.

If we were long yesterday and totalTrades (builtin keyword/function) increases above my own totTrades, then we know a trade was closed out – a long trade that is.  A closed out short position is handled in the same manner.  What about when yesterday’s position is flat and totalTrades increases.  This means an entry and exit occurred on the current bar.  You have to investigate whether the position was either long or short.  I know I can only go long when mavDiff is less than zero and can only go short when mavDiff is greater than zero.  So, all you need to do is investigate yesterday’s mavDiff  to help you determine what position was entered and exited on the same day.  After you determine if an exit occurred, you need to update totTrades with totalTrades.  Once you determine an exit occurred you turn canBuy or canShort off.  They can only be turned back on after N bars have transpired since they were turned off.   I use my own barsSince function to help determine this.

if  not(canBuy) Then
if barsSince(canBuy=True,100,1,0) = 6 then
canBuy = True;
if not(canShort) Then
if barsSince(canShort=True,100,1,0) = 6 then
canShort = True;

Complete strategy code:

inputs:numBarsAbove(10),numBarsBelow(10),buyOSCRatio(60),shortOSRatio(40),minDiffAmt(2),numBarsTrigReset(6);
Vars:canBuy(True),canShort(True),mp(0),totTrades(0),oscVal(0),mavDiff(0),oscRatio(0),mavUp(0),mavDn(0),stopLoss$(1000);


mavDiff= Average((h+l)/2,5)-Average((h+l)/2,34);
oscVal = mavDiff - average(mavDiff,5);


mp = marketPosition;
mavUp = countIf(mavDiff > 0,30);
mavDn = countIf(mavDiff < 0,30);

value1 = countIf(oscVal > oscVal[1],10);

oscRatio = value1/10*100;



if not(canBuy) Then
if barsSince(canBuy=True,100,1,0) = numBarsTrigReset then
canBuy = True;
if not(canShort) Then
if barsSince(canShort=True,100,1,0) = numBarsTrigReset then
canShort = True;

if mp[1] = 1 and totalTrades > totTrades then
canBuy = False;

if mp[1] = -1 and totalTrades > totTrades then
canShort = False;

if mp[1] = 0 and totalTrades > totTrades then
Begin
if mavDiff[1] < 0 then canBuy = False;
if mavDiff[1] > 0 then canShort = False;
end;


if canShort and mavUp > numBarsAbove and mavDiff > minDiffAmt and oscRatio >= buyOSCRatio then
sellShort next bar at open;

if canBuy and mavDn > numBarsBelow and mavDiff < -1*minDiffAmt and oscRatio <= shortOSRatio Then
buy next bar at open;

totTrades = totalTrades;
Inputs used to generate the equity curve.