Jump to content

Welcome to the new Traders Laboratory! Please bear with us as we finish the migration over the next few days. If you find any issues, want to leave feedback, get in touch with us, or offer suggestions please post to the Support forum here.

  • Welcome Guests

    Welcome. You are currently viewing the forum as a guest which does not give you access to all the great features at Traders Laboratory such as interacting with members, access to all forums, downloading attachments, and eligibility to win free giveaways. Registration is fast, simple and absolutely free. Create a FREE Traders Laboratory account here.

jperl

Trading with Market Statistics XI. HUP

Recommended Posts

I decided to try Jerry's approach today and with anything like this I prefer to limit my risk before I am familiar with the method so I decided to try it on the Dow Mini Future (YMM8) with 2 contracts. I have attached two screenshots of my entry and exits and I would appreciate feedback from others who have been using this. The trade was profitable with +8.5 and +23.5 points so even if I did not do things as I should have it has not cost me a loss :)

 

 

 

Paul

YM1.jpg.c7c55ca998b25e6400cecd44a8ace796.jpg

YM2.jpg.59974ed0726e468fa7ab3f6f4b1173c2.jpg

Share this post


Link to post
Share on other sites
I decided to try Jerry's approach today and with anything like this I prefer to limit my risk before I am familiar with the method so I decided to try it on the Dow Mini Future (YMM8) with 2 contracts. I have attached two screenshots of my entry and exits and I would appreciate feedback from others who have been using this. The trade was profitable with +8.5 and +23.5 points so even if I did not do things as I should have it has not cost me a loss :)

 

 

 

Paul

 

 

Good setups and good trades Paul. You've got the basics down correctly. Notice also that if you missed the trade at the VWAP you could have entered at the retrace back to the 1st Standard Deviation.

Share this post


Link to post
Share on other sites
Good setups and good trades Paul. You've got the basics down correctly. Notice also that if you missed the trade at the VWAP you could have entered at the retrace back to the 1st Standard Deviation.

 

I did wonder about that Jerry so thanks for this.

 

 

Paul

Share this post


Link to post
Share on other sites
I did wonder about that Jerry so thanks for this.

 

 

Paul

 

Also think about what you would have done if the trade at the VWAP had not gone your way. Would you have exited the trade at the PVP or done something else?

Share this post


Link to post
Share on other sites

Hi Jerry,

 

I would have exited at either the PVP line or 1st Standard Deviation away from entry whichever was nearer at the time. Is that how you would have played it ?

 

Also when you said that I could have entered at the retrace back to the 1st Standard Deviation, would you exit if the trade went against the position at the 2nd Standard Deviation ?

 

 

Paul

Share this post


Link to post
Share on other sites

I would have exited at either the PVP line or 1st Standard Deviation away from entry whichever was nearer at the time. Is that how you would have played it ?

 

That is what most traders would do and in my opinion leads to a slow bleed of your capital. To avoid that you have to have a complete change of thinking about stop losses. You might want to reread the thread on [thread=2189]"Scaling in and Risk Tolerance"[/thread] to get a different perspective.

 

Also when you said that I could have entered at the retrace back to the 1st Standard Deviation, would you exit if the trade went against the position at the 2nd Standard Deviation ?

 

Not sure I understand what you are asking. If you had entered at the 1st SD and the trade went to the 2nd SD then I would have exited at the 2nd SD for a profit. If I didn't exit at the 2nd SD, I would have not allowed the trade to become a loser. I would then have exited 1 tick below my short entry.

On the other hand if I entered at the 1st SD and the trade went immediately against me, I would have scaled in another contract at the VWAP.

Share this post


Link to post
Share on other sites

Hi Jerry,

 

I have already read "Scaling in and Risk Tolerance" and will apply it when I am happy that I have the basics correct. Previously I have always used a volatility based position sizing strategy so that my risk is consistent for any trade I take. I noted your comment about only becoming consistently profitable when you started using scaling in your trading. There will be some adjustment for me on this as I am not able to use my previous approach to position sizing so a change in mindset is needed which I will work on.

 

Thanks for your replies as I am finding your comments of real use.

 

 

Paul

Share this post


Link to post
Share on other sites
Jperl, would you agree that your trading-methodology works best if we have a trend(day) ?

 

If you have read all the threads then it should be just as successful on a non trending day as any other. On the non trending days it is more likely that the VWAP price will be close to that of the PVP price and on these days you would take a trade at 2SD with the aim of closing out at 1SD or at VWAP.

 

 

Paul

Share this post


Link to post
Share on other sites
Jperl, would you agree that your trading-methodology works best if we have a trend(day) ?

 

You don't need a trend day for market statistics to "work". What ever the day is, market statistics will reveal it by the the shape of the volume distribution function. How you use this information will be different for different traders.

I've just given a few examples of how you might employ it.

Share this post


Link to post
Share on other sites

Thank you for a lovely discussion, Jperl. I find a lot of validity and usefulness to your methods. I do have one question, though. Since the skew of the volume distribution is such an important part of your analysis, why not use other methods for estimating it. Rather than rely on the position of the mode so much, one could use the median or better yet, compute it in the classical way as the third moment of the volume distribution. The reason I ask is that a lot of times in the markets we have the PVP but also another price with almost as much volume. Also, sometimes there are clusters of volume that don't neccessarily include the PVP but could also act as a HUP. The point I am trying to make is that the relative position of the PVP and the VWAP is not always a reasonable estimate for the actual volume distribution skew and I was wondering if you have looked into it.

Share this post


Link to post
Share on other sites
Thank you for a lovely discussion, Jperl. I find a lot of validity and usefulness to your methods. I do have one question, though. Since the skew of the volume distribution is such an important part of your analysis, why not use other methods for estimating it. Rather than rely on the position of the mode so much, one could use the median or better yet, compute it in the classical way as the third moment of the volume distribution. The reason I ask is that a lot of times in the markets we have the PVP but also another price with almost as much volume. Also, sometimes there are clusters of volume that don't neccessarily include the PVP but could also act as a HUP. The point I am trying to make is that the relative position of the PVP and the VWAP is not always a reasonable estimate for the actual volume distribution skew and I was wondering if you have looked into it.

 

You are perfectly correct, that the exact definition of the skew requires a computation of the 3rd moment. The problem with it is the computation is very cpu intensive. I therefore settled for the approximate value due to Pearson as discussed in the skew tag. The advantage of this is you can visualize the skew just by looking at the volume histogram with the vwap superimposed. The problem is as you point out, when you have two large volume peaks, you don't quite know what the skew is. Nevertheless since you can visualize the volume peaks in relation to the VWAP you can approach the market with caution when this occurs.

 

As far as HUPs go, you are correct again that peaks in the volume distribution are HUPS. Which HUPS you wish to use in your trading is of course a function of your trading style. Keep in mind that HUPS are just that, hold up prices. They are places for you to be cautious as to what to expect.

Share this post


Link to post
Share on other sites
The problem with it is the computation is very cpu intensive.

First let me thank you for these amazing threads, being a newbie I find them very useful. Second I apologize for my poor English.

Now to the computation of the third central moment. I am not educated in statistics, so I needed to read a few articles in Wikipedia. So please correct me if I am wrong:

 

CM3 = sum(PROBi * (Pi - VWAP)^3),

where

i is going through all prices in range (i.e. all rows in Volume Distribution Function)

CM3 ... the 3rd Central Moment

PROBi = Vi / V ... ith price probability (Volume per ith price / Total Volume)

Pi ... ith price in the Vol. Dist. function

 

Then the Skew would be calculated as

Skew = CM3 / SD^3

 

If this is correct, the computation doesn't seem too CPU intensive to me. I programmed such a computation in AmiBroker and I plotted a line on a chart. The line is VWAP + (Skew * SD). Watching this line together with PVP-to-VWAP relation can be very useful. Now I don't have time to elaborate, but if somebody is interested I can write more later.

 

Ondrej

Share this post


Link to post
Share on other sites
First let me thank you for these amazing threads, being a newbie I find them very useful. Second I apologize for my poor English.

Now to the computation of the third central moment. I am not educated in statistics, so I needed to read a few articles in Wikipedia. So please correct me if I am wrong:

 

CM3 = sum(PROBi * (Pi - VWAP)^3),

where

i is going through all prices in range (i.e. all rows in Volume Distribution Function)

CM3 ... the 3rd Central Moment

PROBi = Vi / V ... ith price probability (Volume per ith price / Total Volume)

Pi ... ith price in the Vol. Dist. function

 

Then the Skew would be calculated as

Skew = CM3 / SD^3

 

If this is correct, the computation doesn't seem too CPU intensive to me. I programmed such a computation in AmiBroker and I plotted a line on a chart. The line is VWAP + (Skew * SD). Watching this line together with PVP-to-VWAP relation can be very useful. Now I don't have time to elaborate, but if somebody is interested I can write more later.

 

Ondrej

 

 

 

Can you post a screenshot...

Is this Skew different from (VWAP - PVP) / SD ? More beneficial?

 

 

thanks

Share this post


Link to post
Share on other sites
First let me thank you for these amazing threads, being a newbie I find them very useful. Second I apologize for my poor English.

Now to the computation of the third central moment. I am not educated in statistics, so I needed to read a few articles in Wikipedia. So please correct me if I am wrong:

 

CM3 = sum(PROBi * (Pi - VWAP)^3),

where

i is going through all prices in range (i.e. all rows in Volume Distribution Function)

CM3 ... the 3rd Central Moment

PROBi = Vi / V ... ith price probability (Volume per ith price / Total Volume)

Pi ... ith price in the Vol. Dist. function

 

Then the Skew would be calculated as

Skew = CM3 / SD^3

 

If this is correct, the computation doesn't seem too CPU intensive to me. I programmed such a computation in AmiBroker and I plotted a line on a chart. The line is VWAP + (Skew * SD). Watching this line together with PVP-to-VWAP relation can be very useful. Now I don't have time to elaborate, but if somebody is interested I can write more later.

 

Ondrej

 

Very good Ondrej. You have the skew computation properly weighted. What makes this computation cpu intensive is in real time you have to update the value of PROBi as you add more volume data. Should be okay for a fast machine.

Perhaps you can show us some charts with your skew computation drawn in along with the VWAP and PVP.

Share this post


Link to post
Share on other sites

Ok, I uploaded screenshots. These are 2min charts for ES for the last 3 business days, counting today. VWAP is the thick yellow line, PVP thick turquoise line, Skew Line (VWAP + Skew * SD) is the thin light blue line. The dark blue area is the area between the 1st SD's, the Value Area in terminology of MP.

If the Skew Line is above VWAP the skew is positive, below VWAP negative. The distance between the Skew Line and VWAP tells you how large is the skew compared to SD. To distinguish the two different methods to determine the skew, I will use terms Skew(PVP) and Skew(3CM).

 

While Skew(PVP) flips (or jumps), the Skew(3CM) is continuous. By the time Skew(PVP) flips the Skew(3CM) Line crosses VWAP, that means Skew(3CM) crosses zero. In other words, if the skew is positive and price action is above VWAP, Skew(PVP) rises while Skew(3CM) decreases. By the time the Skew(PVP) flips, the Skew(VWAP) crosses zero.

Hence the first use of the Skew(3CM) is to warn you before the PVP flip. Another use, surprisingly, :) is to determine the real statistical skew. The Skew(PVP) has the greatest absolute value right before the flip. That might lead you into some bad trades. If you look at Skew(3CM) you will recognize that the real skew is very small.

As you can see from the charts, it looks like the Skew Line is a minor HUP itself. But I have been watching this only for a couple of days, so I don't want to make any conclusions yet.

Share this post


Link to post
Share on other sites
Ok, I uploaded screenshots. These are 2min charts for ES for the last 3 business days, counting today. VWAP is the thick yellow line, PVP thick turquoise line, Skew Line (VWAP + Skew * SD) is the thin light blue line. The dark blue area is the area between the 1st SD's, the Value Area in terminology of MP.

If the Skew Line is above VWAP the skew is positive, below VWAP negative. The distance between the Skew Line and VWAP tells you how large is the skew compared to SD. To distinguish the two different methods to determine the skew, I will use terms Skew(PVP) and Skew(3CM).

 

While Skew(PVP) flips (or jumps), the Skew(3CM) is continuous. By the time Skew(PVP) flips the Skew(3CM) Line crosses VWAP, that means Skew(3CM) crosses zero. In other words, if the skew is positive and price action is above VWAP, Skew(PVP) rises while Skew(3CM) decreases. By the time the Skew(PVP) flips, the Skew(VWAP) crosses zero.

Hence the first use of the Skew(3CM) is to warn you before the PVP flip. Another use, surprisingly, :) is to determine the real statistical skew. The Skew(PVP) has the greatest absolute value right before the flip. That might lead you into some bad trades. If you look at Skew(3CM) you will recognize that the real skew is very small.

As you can see from the charts, it looks like the Skew Line is a minor HUP itself. But I have been watching this only for a couple of days, so I don't want to make any conclusions yet.

 

Nice job Ondrej. It looks as if using the exact definition of the skew can provide some useful trading information not available in the approximate Pearson evaluation.

Share this post


Link to post
Share on other sites
Very good Ondrej. You have the skew computation properly weighted. What makes this computation cpu intensive is in real time you have to update the value of PROBi as you add more volume data. Should be okay for a fast machine.

Perhaps you can show us some charts with your skew computation drawn in along with the VWAP and PVP.

 

I am not sure but I would guess there is a non iterative way of commuting PROBi. (i.e. not so processor intensive). I'm on vacation with friends and another glass of wine beckons so probably not the time (and in no fit state) to give it thought!

Share this post


Link to post
Share on other sites

Jerry, I wonder how do you determine the exact PVP level. In fact, I started to dig in the skew stuff only because I was unable to determine an accurate PVP position. With my data feed I don't get volume per price but only volume per bar (i.e. per time unit). To approximately determine the volume per price I take the volume per bar and divide it by the number of prices the bar crosses to obtain the volume unit which I add to every price level that the bar crosses. Now that was an awful sentence but I hope you know what I mean. The problem is that this is an averaging process and every averaging process smooths peaks. To get an accurate volume per price I would need to run the computation on tick database and that would be unusable in real time. On ES I observed that the data base with sufficient accuracy would be 50 tick or less data. That was too detailed for my computer to handle in real time so I started to look for another way to determine the skew. The comptutation of the 3rd central moment is an averaging process itself so it is not so sensitive to the averaging of volume per price. Still, the PVP, as a major HUP, is a significant level and whatever the Skew(3CM) is, you don't want to take your trades across the PVP because it can block the desired price movement.

Share this post


Link to post
Share on other sites
I am not sure but I would guess there is a non iterative way of commuting PROBi. (i.e. not so processor intensive). I'm on vacation with friends and another glass of wine beckons so probably not the time (and in no fit state) to give it thought!
Being drunk myself I guess I can reply to your idea. I guess that there is no non-iterative way to determine PROBi. But there are two advices I can give you. I am not a programmer, but programming the Jerry's indicator I realized I don't need the re-computation of everything every second. The only thing you need to update continuously is the volume at price. Then, if you know what the V-A-P is, you can recalculate the VWAP, SD's and the Skew say only once per one or two minutes. If you don't want to caculate at all you can use the range middle to determine the skew. I think the range middle to VWAP relation is more appropriate than the PVP to VWAP relation. One can ask himself a question: Where would be the VWAP if there was a symetric distribution? One answer would be: At the PVP, yet another answer could be: In the range middle. Think of the interpretation of the terms or phenomena to make your own conclusion. Combining both approaches would be the best way to approach the real skew without computation.

Share this post


Link to post
Share on other sites
Jerry, I wonder how do you determine the exact PVP level. In fact, I started to dig in the skew stuff only because I was unable to determine an accurate PVP position. With my data feed I don't get volume per price but only volume per bar (i.e. per time unit). To approximately determine the volume per price I take the volume per bar and divide it by the number of prices the bar crosses to obtain the volume unit which I add to every price level that the bar crosses. Now that was an awful sentence but I hope you know what I mean. The problem is that this is an averaging process and every averaging process smooths peaks. To get an accurate volume per price I would need to run the computation on tick database and that would be unusable in real time. On ES I observed that the data base with sufficient accuracy would be 50 tick or less data. That was too detailed for my computer to handle in real time so I started to look for another way to determine the skew. The comptutation of the 3rd central moment is an averaging process itself so it is not so sensitive to the averaging of volume per price. Still, the PVP, as a major HUP, is a significant level and whatever the Skew(3CM) is, you don't want to take your trades across the PVP because it can block the desired price movement.

 

I use ensign software for my charts. The volume histogram with the PVP is one of the studies provided. As you point out, for an exact value of the PVP you would need to compute the volume distribution for every tick. Ensign doesn't do this but uses the volume for each bar distributed equally among the tick increments for the range of the bar. This of course is an approximation.

Share this post


Link to post
Share on other sites
I use ensign software for my charts. The volume histogram with the PVP is one of the studies provided. As you point out, for an exact value of the PVP you would need to compute the volume distribution for every tick. Ensign doesn't do this but uses the volume for each bar distributed equally among the tick increments for the range of the bar. This of course is an approximation.
So the Ensign computes the volume distribution the same way as I do. on 7/15 I compared the PVP, VWAP and 1st SD's computations on ES from differnt time frames (i.e. bar intervals). Here is the result (All for RTH 9:30 - 16:15, 1st SD's are named VAH and VAL):

 

5 min graph: VAH 1227.03, VAL 1210.78, VWAP 1218.91, PVP 1225.00

1 min graph: VAH 1227.07, VAL 1210.65, VWAP 1218.86, PVP 1218.75

100 tick graph: VAH 1227.06, VAL 1210.62, VWAP 1218.84, PVP 1223.25

50 tick graph: VAH 1227.06, VAL 1210.63, VWAP 1218.84, PVP 1223.0

20 tick and 10 tick graphs computations resulted in the same values as the 50 tick graph. 1 tick graph was too much for my computer to handle.

 

You can see that while VWAP and SD's being averaged values are not much sensitive to the calculation base interval. Yet PVP being a peak level is very sensitive to any kind of averaging. For ES 50 tick data provide the base detailed enough for an accurate calculation.

I realized I am unable to determine dailly PVP from 1 minute database and that brought me to alternative ways of calculation.

Share this post


Link to post
Share on other sites
So the Ensign computes the volume distribution the same way as I do. on 7/15 I compared the PVP, VWAP and 1st SD's computations on ES from differnt time frames (i.e. bar intervals). Here is the result (All for RTH 9:30 - 16:15, 1st SD's are named VAH and VAL):

 

5 min graph: VAH 1227.03, VAL 1210.78, VWAP 1218.91, PVP 1225.00

1 min graph: VAH 1227.07, VAL 1210.65, VWAP 1218.86, PVP 1218.75

100 tick graph: VAH 1227.06, VAL 1210.62, VWAP 1218.84, PVP 1223.25

50 tick graph: VAH 1227.06, VAL 1210.63, VWAP 1218.84, PVP 1223.0

20 tick and 10 tick graphs computations resulted in the same values as the 50 tick graph. 1 tick graph was too much for my computer to handle.

 

You can see that while VWAP and SD's being averaged values are not much sensitive to the calculation base interval. Yet PVP being a peak level is very sensitive to any kind of averaging. For ES 50 tick data provide the base detailed enough for an accurate calculation.

I realized I am unable to determine dailly PVP from 1 minute database and that brought me to alternative ways of calculation.

 

The difference you are seeing in the PVP is most likely due to two peaks with almost the same volume. This will cause the PVP values to jump around from one time frame to another. This is an example where a visual of the total histogram would help you out.

Share this post


Link to post
Share on other sites

I have been looking at precise vs averaged for a while now. On the whole the smoothed (average) seems to offer better trading opportunities. Hard to tell really, I certainly don't have enough data. I guess at some stage I will need to ditch one as it does introduce ambiguity. Of course an alternative would be to only trade when they are in agreement.

 

Heres an interesting thing. Normally its the tick precise chart that jumps around but today it was the 2 minute (I guess just how the cookie crumbled).

Share this post


Link to post
Share on other sites

Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.
Note: Your post will require moderator approval before it will be visible.

Guest
Reply to this topic...

×   Pasted as rich text.   Paste as plain text instead

  Only 75 emoji are allowed.

×   Your link has been automatically embedded.   Display as a link instead

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.


  • Topics

  • Posts

    • Be careful who you blame.   I can tell you one thing for sure.   Effective traders don’t blame others when things start to go wrong.   You can hang onto your tendency to play the victim, or the martyr… but if you want to achieve in trading, you have to be prepared to take responsibility.   People assign reasons to outcomes, whether based on internal or external factors.   When traders face losses, it's common for them to blame bad luck, poor advice, or other external factors, rather than reflecting on their own personal attributes like arrogance, fear, or greed.   This is a challenging lesson to grasp in your trading journey, but one that holds immense value.   This is called attribution theory. Taking responsibility for your actions is the key to improving your trading skills. Pause and ask yourself - What role did I play in my financial decisions?   After all, you were the one who listened to that source, and decided to act on that trade based on the rumour. Attributing results solely to external circumstances is what is known as having an ‘external locus of control’.   It's a concept coined by psychologist Julian Rotter in 1954. A trader with an external locus of control might say, "I made a profit because the markets are currently favourable."   Instead, strive to develop an "internal locus of control" and take ownership of your actions.   Assume that all trading results are within your realm of responsibility and actively seek ways to improve your own behaviour.   This is the fastest route to enhancing your trading abilities. A trader with an internal locus of control might proudly state, "My equity curve is rising because I am a disciplined trader who faithfully follows my trading plan." Author: Louise Bedford Source: https://www.tradinggame.com.au/
    • SELF IMPROVEMENT.   The whole self-help industry began when Dale Carnegie published How to Win Friends and Influence People in 1936. Then came other classics like Think And Grow Rich by Napoleon Hill, Awaken the Giant Within by Tony Robbins toward the end of the century.   Today, teaching people how to improve themselves is a business. A pure ruthless business where some people sell utter bullshit.   There are broke Instagrammers and YouTubers with literally no solid background teaching men how to be attractive to women, how to begin a start-up, how to become successful — most of these guys speaking nothing more than hollow motivational words and cliche stuff. They waste your time. Some of these people who present themselves as hugely successful also give talks and write books.   There are so many books on financial advice, self-improvement, love, etc and some people actually try to read them. They are a waste of time, mostly.   When you start reading a dozen books on finance you realize that they all say the same stuff.   You are not going to live forever in the learning phase. Don't procrastinate by reading bull-shit or the same good knowledge in 10 books. What we ought to do is choose wisely.   Yes. A good book can change your life, given you do what it asks you to do.   All the books I have named up to now are worthy of reading. Tim Ferriss, Simon Sinek, Robert Greene — these guys are worthy of reading. These guys teach what others don't. Their books are unique and actually, come from relevant and successful people.   When Richard Branson writes a book about entrepreneurship, go read it. Every line in that book is said by one of the greatest entrepreneurs of our time.   When a Chinese millionaire( he claims to be) Youtuber who releases a video titled “Why reading books keeps you broke” and a year later another one “My recommendation of books for grand success” you should be wise to tell him to jump from Victoria Falls.   These self-improvement gurus sell you delusions.   They say they have those little tricks that only they know that if you use, everything in your life will be perfect. Those little tricks. We are just “making of a to-do-list before sleeping” away from becoming the next Bill Gates.   There are no little tricks.   There is no success-mantra.   Self-improvement is a trap for 99% of the people. You can't do that unless you are very, very strong.   If you are looking for easy ways, you will only keep wasting your time forgetting that your time on this planet is limited, as alive humans that is.   Also, I feel that people who claim to read like a book a day or promote it are idiots. You retain nothing. When you do read a good book, you read slow, sometimes a whole paragraph, again and again, dwelling on it, trying to internalize its knowledge. You try to understand. You think. It takes time.   It's better to read a good book 10 times than 1000 stupid ones.   So be choosy. Read from the guys who actually know something, not some wannabe ‘influencers’.   Edit: Think And Grow Rich was written as a result of a project assigned to Napoleon Hill by Andrew Carnegie(the 2nd richest man in recent history). He was asked to study the most successful people on the planet and document which characteristics made them great. He did extensive work in studying hundreds of the most successful people of that time. The result was that little book.   Nowadays some people just study Instagram algorithms and think of themselves as a Dale Carnegie or Anthony Robbins. By Nupur Nishant, Quora Profits from free accurate cryptos signals: https://www.predictmag.com/    
    • there is no avoiding loses to be honest, its just how the market is. you win some and hopefully more, but u do lose some. 
    • $CSCO Cisco Systems stock, nice top of range breakout, from Stocks to Watch at https://stockconsultant.com/?CSCOSEPN Septerna stock watch for a bottom breakout, good upside price gap
    • $CSCO Cisco Systems stock, nice top of range breakout, from Stocks to Watch at https://stockconsultant.com/?CSCOSEPN Septerna stock watch for a bottom breakout, good upside price gap
×
×
  • Create New...

Important Information

By using this site, you agree to our Terms of Use.