Trading Stats: options binary option payoff charts in excel

No gods, no kings, only NOPE - or divining the future with options flows. [Part 2: A Random Walk and Price Decoherence]

tl;dr -
1) Stock prices move continuously because different market participants end up having different ideas of the future value of a stock.
2) This difference in valuations is part of the reason we have volatility.
3) IV crush happens as a consequence of future possibilities being extinguished at a binary catalyst like earnings very rapidly, as opposed to the normal slow way.
I promise I'm getting to the good parts, but I'm also writing these as a guidebook which I can use later so people never have to talk to me again.
In this part I'm going to start veering a bit into the speculation territory (e.g. ideas I believe or have investigated, but aren't necessary well known) but I'm going to make sure those sections are properly marked as speculative (and you can feel free to ignore/dismiss them). Marked as [Lily's Speculation].
As some commenters have pointed out in prior posts, I do not have formal training in mathematical finance/finance (my background is computer science, discrete math, and biology), so often times I may use terms that I've invented which have analogous/existing terms (e.g. the law of surprise is actually the first law of asset pricing applied to derivatives under risk neutral measure, but I didn't know that until I read the papers later). If I mention something wrong, please do feel free to either PM me (not chat) or post a comment, and we can discuss/I can correct it! As always, buyer beware.
This is the first section also where you do need to be familiar with the topics I've previously discussed, which I'll add links to shortly (my previous posts:
A Random Walk Down Bankruptcy
A lot of us have probably seen the term random walk, maybe in the context of A Random Walk Down Wall Street, which seems like a great book I'll add to my list of things to read once I figure out how to control my ADD. It seems obvious, then, what a random walk means - when something is moving, it basically means that the next move is random. So if my stock price is $1 and I can move in $0.01 increments, if the stock price is truly randomly walking, there should be roughly a 50% chance it moves up in the next second (to $1.01) or down (to $0.99).
If you've traded for more than a hot minute, this concept should seem obvious, because especially on the intraday, it usually isn't clear why price moves the way it does (despite what chartists want to believe, and I'm sure a ton of people in the comments will tell me why fettucini lines and Batman doji tell them things). For a simple example, we can look at SPY's chart from Friday, Oct 16, 2020:
I'm sure again 7 different people can tell me 7 different things about why the chart shape looks the way it does, or how if I delve deeply enough into it I can find out which man I'm going to marry in 2024, but to a rationalist it isn't exactly apparent at why SPY's price declined from 349 to ~348.5 at around 12:30 PM, or why it picked up until about 3 PM and then went into precipitous decline (although I do have theories why it declined EOD, but that's for another post).
An extremely clever or bored reader from my previous posts could say, "Is this the price formation you mentioned in the law of surprise post?" and the answer is yes. If we relate it back to the individual buyer or seller, we can explain the concept of a stock price's random walk as such:
Most market participants have an idea of an asset's true value (an idealized concept of what an asset is actually worth), which they can derive using models or possibly enough brain damage. However, an asset's value at any given time is not worth one value (usually*), but a spectrum of possible values, usually representing what the asset should be worth in the future. A naive way we can represent this without delving into to much math (because let's face it, most of us fucking hate math) is:
Current value of an asset = sum over all (future possible value multiplied by the likelihood of that value)
In actuality, most models aren't that simple, but it does generalize to a ton of more complicated models which you need more than 7th grade math to understand (Black-Scholes, DCF, blah blah blah).
While in many cases the first term - future possible value - is well defined (Tesla is worth exactly $420.69 billion in 2021, and maybe we all can agree on that by looking at car sales and Musk tweets), where it gets more interesting is the second term - the likelihood of that value occurring. [In actuality, the price of a stock for instance is way more complicated, because a stock can be sold at any point in the future (versus in my example, just the value in 2021), and needs to account for all values of Tesla at any given point in the future.]
How do we estimate the second term - the likelihood of that value occurring? For this class, it actually doesn't matter, because the key concept is this idea: even with all market participants having the same information, we do anticipate that every participant will have a slightly different view of future likelihoods. Why is that? There's many reasons. Some participants may undervalue risk (aka WSB FD/yolos) and therefore weight probabilities of gaining lots of money much more heavily than going bankrupt. Some participants may have alternative data which improves their understanding of what the future values should be, therefore letting them see opportunity. Some participants might overvalue liquidity, and just want to GTFO and thereby accept a haircut on their asset's value to quickly unload it (especially in markets with low liquidity). Some participants may just be yoloing and not even know what Fastly does before putting their account all in weekly puts (god bless you).
In the end, it doesn't matter either the why, but the what: because of these diverging interpretations, over time, we can expect the price of an asset to drift from the current value even with no new information added. In most cases, the calculations that market participants use (which I will, as a Lily-ism, call the future expected payoff function, or FEPF) ends up being quite similar in aggregate, and this is why asset prices likely tend to move slightly up and down for no reason (or rather, this is one interpretation of why).
At this point, I expect the 20% of you who know what I'm talking about or have a finance background to say, "Oh but blah blah efficient market hypothesis contradicts random walk blah blah blah" and you're correct, but it also legitimately doesn't matter here. In the long run, stock prices are clearly not a random walk, because a stock's value is obviously tied to the company's fundamentals (knock on wood I don't regret saying this in the 2020s). However, intraday, in the absence of new, public information, it becomes a close enough approximation.
Also, some of you might wonder what happens when the future expected payoff function (FEPF) I mentioned before ends up wildly diverging for a stock between participants. This could happen because all of us try to short Nikola because it's quite obviously a joke (so our FEPF for Nikola could, let's say, be 0), while the 20 or so remaining bagholders at NikolaCorporation decide that their FEPF of Nikola is $10,000,000 a share). One of the interesting things which intuitively makes sense, is for nearly all stocks, the amount of divergence among market participants in their FEPF increases substantially as you get farther into the future.
This intuitively makes sense, even if you've already quit trying to understand what I'm saying. It's quite easy to say, if at 12:51 PM SPY is worth 350.21 that likely at 12:52 PM SPY will be worth 350.10 or 350.30 in all likelihood. Obviously there are cases this doesn't hold, but more likely than not, prices tend to follow each other, and don't gap up/down hard intraday. However, what if I asked you - given SPY is worth 350.21 at 12:51 PM today, what will it be worth in 2022?
Many people will then try to half ass some DD about interest rates and Trump fleeing to Ecuador to value SPY at 150, while others will assume bull markets will continue indefinitely and SPY will obviously be 7000 by then. The truth is -- no one actually knows, because if you did, you wouldn't be reading a reddit post on this at 2 AM in your jammies.
In fact, if you could somehow figure out the FEPF of all market participants at any given time, assuming no new information occurs, you should be able to roughly predict the true value of an asset infinitely far into the future (hint: this doesn't exactly hold, but again don't @ me).
Now if you do have a finance background, I expect gears will have clicked for some of you, and you may see strong analogies between the FEPF divergence I mentioned, and a concept we're all at least partially familiar with - volatility.
Volatility and Price Decoherence ("IV Crush")
Volatility, just like the Greeks, isn't exactly a real thing. Most of us have some familiarity with implied volatility on options, mostly when we get IV crushed the first time and realize we just lost $3000 on Tesla calls.
If we assume that the current price should represent the weighted likelihoods of all future prices (the random walk), volatility implies the following two things:
  1. Volatility reflects the uncertainty of the current price
  2. Volatility reflects the uncertainty of the future price for every point in the future where the asset has value (up to expiry for options)
[Ignore this section if you aren't pedantic] There's obviously more complex mathematics, because I'm sure some of you will argue in the comments that IV doesn't go up monotonically as option expiry date goes longer and longer into the future, and you're correct (this is because asset pricing reflects drift rate and other factors, as well as certain assets like the VIX end up having cost of carry).
Volatility in options is interesting as well, because in actuality, it isn't something that can be exactly computed -- it arises as a plug between the idealized value of an option (the modeled price) and the real, market value of an option (the spot price). Additionally, because the makeup of market participants in an asset's market changes over time, and new information also comes in (thereby increasing likelihood of some possibilities and reducing it for others), volatility does not remain constant over time, either.
Conceptually, volatility also is pretty easy to understand. But what about our friend, IV crush? I'm sure some of you have bought options to play events, the most common one being earnings reports, which happen quarterly for every company due to regulations. For the more savvy, you might know of expected move, which is a calculation that uses the volatility (and therefore price) increase of at-the-money options about a month out to calculate how much the options market forecasts the underlying stock price to move as a response to ER.
Binary Catalyst Events and Price Decoherence
Remember what I said about price formation being a gradual, continuous process? In the face of special circumstances, in particularly binary catalyst events - events where the outcome is one of two choices, good (1) or bad (0) - the gradual part gets thrown out the window. Earnings in particular is a common and notable case of a binary event, because the price will go down (assuming the company did not meet the market's expectations) or up (assuming the company exceeded the market's expectations) (it will rarely stay flat, so I'm not going to address that case).
Earnings especially is interesting, because unlike other catalytic events, they're pre-scheduled (so the whole market expects them at a certain date/time) and usually have publicly released pre-estimations (guidance, analyst predictions). This separates them from other binary catalysts (e.g. FSLY dipping 30% on guidance update) because the market has ample time to anticipate the event, and participants therefore have time to speculate and hedge on the event.
In most binary catalyst events, we see rapid fluctuations in price, usually called a gap up or gap down, which is caused by participants rapidly intaking new information and changing their FEPF accordingly. This is for the most part an anticipated adjustment to the FEPF based on the expectation that earnings is a Very Big Deal (TM), and is the reason why volatility and therefore option premiums increase so dramatically before earnings.
What makes earnings so interesting in particular is the dramatic effect it can have on all market participants FEPF, as opposed to let's say a Trump tweet, or more people dying of coronavirus. In lots of cases, especially the FEPF of the short term (3-6 months) rapidly changes in response to updated guidance about a company, causing large portions of the future possibility spectrum to rapidly and spectacularly go to zero. In an instant, your Tesla 10/30 800Cs go from "some value" to "not worth the electrons they're printed on".
[Lily's Speculation] This phenomena, I like to call price decoherence, mostly as an analogy to quantum mechanical processes which produce similar results (the collapse of a wavefunction on observation). Price decoherence occurs at a widespread but minor scale continuously, which we normally call price formation (and explains portions of the random walk derivation explained above), but hits a special limit in the face of binary catalyst events, as in an instant rapid portions of the future expected payoff function are extinguished, versus a more gradual process which occurs over time (as an option nears expiration).
Price decoherence, mathematically, ends up being a more generalizable case of the phenomenon we all love to hate - IV crush. Price decoherence during earnings collapses the future expected payoff function of a ticker, leading large portions of the option chain to be effectively worthless (IV crush). It has interesting implications, especially in the case of hedged option sellers, our dear Market Makers. This is because given the expectation that they maintain delta-gamma neutral, and now many of the options they have written are now worthless and have 0 delta, what do they now have to do?
They have to unwind.
[/Lily's Speculation]
- Lily
submitted by the_lilypad to thecorporation [link] [comments]

Let's talk about SciTE4AutoHotkey, what Groggy is up to, why he's currently groggy and why that's the reason for the update. Here's a thread for info, comments, and suggestions. (PS - Happy Friday, everyone!)

Hey guys. I'm pretty excited about getting to post this. Warning: Wall of text incoming. This is like an account of all the stuff that's happened. Don't worry, to prevent total boredom, I've added pictures and gifs. Like a picture book.
Anyway, I've had this big bout of insomnia lately. Like 1-3 hours of sleep a day. Less than 20 hours in a week. It SUCKS!
Maybe it's because my my laptop is inoperable due to fan failure. I had to order a new one because the original died and we all know shipping time is brutal from China.
I'm mentioning that so I can mention this. Me getting 1-3 hours of sleep a night = Hella free time. Hella free time + my main machine being down = X Solve for X. X = I needed a project.
Of my options on "Things to do", SciTE4AutoHotkey was something that had been on there a while, piqued my interest, was something I could start from scratch, could be done on a sub-par laptop, and it seemed beneficial to not just me but everyone. So, I picked it up like a pair of scissors and ran with it.
Some of you may have seen my comment the other day. Twas not a bluff or an attempt at getting free uppies. A couple days before that post, I had already started (and have been actively) rewriting the entire ahk.api and files from scratch.
I'm also worried about the fact that it has been like 1/2 a decade since someone has updated these files.
I finished rewriting and "carding" every command, built-in function, and built-in variable a couple nights ago. Since then I've (mostly?) finished getting all the "other keywords" listed (What a pain in the ass. Even at this point I know I've missed some stuff. There are just so many options, subcommands, sub-subcommands, properties, methods, guys are smart. You get what the hell I'm going on about.) Last night I started getting into the guts of the program, commenting out the AHK files, reading up on .api files, reading about SciTE's options, etc... More SciTE info for those interested.
So, what changes have you made to the API?
The following numbers are rough but accurate. Items refers to commands, built-in variables, built-in functions, flow controls statements, and other keywords. "Other keywords" refers to language verbs, options, subcommands, subcommand options, etc... Example:
and not in is between extends this on off alwayson alwaysoff toggle ... 
Registry words/values, sound options, sysget/winget/process options, etc... are all "other keywords":
You get the idea.
The Old API has about 1093 items. Of those 1093 items, only 123 have any type of additional info bundled with them. 970 are cardless/infoless. The ones that do have info provided have only the most basic of information and options with no info about anything else.
At the time of this posting, the new API I've written has 1383 items. Up 290 items from the old API. (I can guarantee this will go up before beta release.) Of those 1383 lines, 738 of those items (almost every single command, built-in function, variable, and flow control statement) has a card. Up 615 from the old API's basic info. Of the 645 of those items that don't have cards, most lack one, because they're either "other keywords" or are options|subcommands that are covered on a main command's/function's card.
Why even bother adding all those extra words to the API? It seems like a lot of crappy work for no payoff.
A few reasons.
  1. It causes those commands to show up in the word list.
  2. It makes typing things easier to type. Example: Typing REG_ shows all the Registry stuff in the word list. Pick the one you want and hit enter.
  3. Having all the different keywords listed allows them to receive syntax highlighting. This can be used like a form of visual validation while coding.
A little more info on the updated API (because everyone loves tables!):
Count New Old Increase
CHARACTERS 119,338 28,930 x4
WORDS 17,451 3,533 x5
PARAGRAPHS 1,383 1,093 x1.3
WHITESPACE* 19,123 2,485 x8
* Lots of padding from formatting and cheat sheets.
What exactly are these "CARD" things?
Cards are what I'm calling extended tooltips. For example, with the old SciTE4AHK, if you type #KeyHistory you'd see this. With the new version, you'd see this. (That's one of the lesser detailed cards).
Why bother making cards?
Well, I get sick and tired of wasting time alt+tabbing back and forth from SciTE to the docs just to get small pieces of info. It seems like this wastes a lot of time.
Does this function return a 1 or a 0? Or an empty string? Does it return a word? If yes, what word? What does that word mean? What's the subcommand for this command? Does the subcommand have different syntax?? What are that subcommand's options? What's the option for removing duplicates when using the sort command? What about that option that lets you sort by numbers even if they're inside of a string? Does this command's field use traditional or expression format? Does this command set an errorlevel? Have you the Format() command?!
Do you see what I mean? Time wasted because we need some tiny bit of NECESSARY info to make everything work.
I thought "Why the hell not just update the tooltips to have all the info right there?" Why not make SciTE4AHK better by making its calltips more robust and more like a quick reference guide?"
It sounded good to me so...I did it.
How do these cards look?
Currently, each card is set with its full syntax (multiple lines if the command warrants it) followed by its use and whatever extra info goes with it. I've tried to keep these cards small and compact but still pack in as much info as possible. Commands with multiple subcommands have all subcommands listed at the bottom and each subcommand should have its own card with its own options. The goal is not to cover the entire documentation of each command on each card, but to streamline the important info, the options, get return/errorlevel info, etc.
To the newer users out there, you should always read a command's/function's documentation before using it. Don't go off just the card/calltip. Some commands have tons of info that I could never fit onto 1 card. You might miss an option you need or you might misunderstand a command's usage/output/etc... Though I don't think this will be likely because the cards are pretty straight forward.
Here's the general layout/legend for the current card setup. This lists the majority of LABELS: I use with the cards. No one card will ever have all these.
Command, Value|Subcommand, [OptionalParams, Select|One|Option] NOTES: Item refers to any command, built-in function/variable, or keyword. Parameters separated by | pipes indicate "select one of these". Items inside [] brackets are considered optional. TAGS: USE: What a command/function is used for. VALUE: Variable/text/number. Used as input/output for commands. SUBCOMMAND: List of subcommands for the current command. Most subcommands have their own card and own options. DEPRECATED: A command is phased out and should no longer be used. Deprecated tags always come with a replacement tag. REPLACEMENT: Replacement commands/functions for deprecated items. REPLACEMENT: Use SubStr() instead. REMARK: Additional or beneficial information about an item. REMARK: Omitting WinTitle will default to LastFoundWindow. RETURN: The values a function can return and what they mean. RETURN: 1 = Key Down. 0 = Key Up. ERRORLEVEL: Possible ErrorLevel values and what they mean. ERRORLEVEL: 0 = Failure. 1 = Success. EX: Example of command/function use. Most items have these. Also shows return values and/or how the new data looks. R = Return value of command/function => vaobj after of command/function runs EX: arr =: [1, 2, 3] Arr.RemoveAt(2) ; R=2 ; arr => [1, 3] CHEAT: This item has additional data or info on a Cheat_Sheet_ card. These are used for reference charts, data tables, or other info that just can't fit onto 1 card and tend to be larger than normal. 
About cheat sheets: This is a new category I've added. It's a bunch of cards that have the prefix Cheat_Sheet_ and can be called just like any other command or function. Type "cheat", select the one you want from the word list, hit enter to make the text appear (unfortunately, this is necessary) and then hit space. Like I mentioned before, have you seen the Format() function!? That thing is getting its own cheat sheet.
Examples: Cheat_Sheet_HTML_Color_Names Cheat_Sheet_RegEx
Deleting the word makes the tooltip go away. Ctrl+Backspace deletes a whole word instead of just 1 character. It makes things easy. Or just hit esc.
If you're close to being done with the API (and subsequently the keywords file), what do you have left?
I still have quite a bit left.
Re-organize some of the content Homogenize card formatting (make sure every card follows the format that I've changed like 8 billion times since starting) Proofread EVERYTHING again to find errors, typos, etc... Quite a few cheat sheets to create/finish/prettify. Find a clean way to incorporate hotkey card changing/scrolling. Wanting to use mousewheel up/down and arrow up/down (or possibly ctrl+up/down for this). Get TillaGoTo to recognize functions correctly. Change the opening/closing behavior of calltips/cards and find a way to ensure that the wordlist comes up when it's supposed to. Add a new syntax category that acknowledges AHK's built-in properties and methods. Example: File object methods, file object properties, default object methods, exception object properties, etc.. I'm considering making a "lite" version of the API for those who want minimalistic calltips. 1-3 lines per card? Let me know if there's a want for this. Add a light/dark mode for the wordlist, calltips, and tillagoto. See if there's a possibility to add color support for wordlists/calltips in the themes/option. Looking at bundling Maestrith's GUI Creator with this instead of Smart GUI Creator. I feel Maestrith's GUI Creator is a much better GUI Creator. Or, should I leave Smart GUI Creator in along with it? Opinions? Also, I'm thinking about bundling this impressive message box creator called Magic Box to replace the older MsgBox Creator.
It's a long list but I'm trying to knock stuff off it little by little.
Here's hoping to have a working Beta available soon for you guys.
Speaking of releasing a Beta... If you guys notice a typo, error, come up with a word(s) that should be added, or anything else, SPEAK UP AND LET ME KNOW. Worst case scenario: I disagree with you, I don't add it/change anything, and you're not out anything. Best case scenario: I agree, add it, and you+everyone else get the functionality you requested. Same goes with design ideas/suggestions. But, being honest, I don't have plans on doing tons of expansions to this program (I might not even be capable of it). Regardless, feedback is a great thing. Opinions on the name SciTE4AHK_GO? For GroggyOtter Edition.
When the beta is released, I'll be making a new sticky post. If you'd like a tag notification, leave a comment below with "notify me" in it.
I'll post edits if there's anything else worth mentioning/updates to give. Make sure you check back.
Gonna go grab a burrito. <3
Edit: Still actively working on this. I've invested quite a bit of time into it and will probably be investing quite a bit more as the list of things I want to change/add is growing. Also, my fan finally came. Didn't work. Wrong brand. Wrong amperage... The moral of the story is don't order things from China.
Edit 10Oct2018: For those checking back, I'm still going at this full bore. I had to, unfortunately, rewrite my rewritten API. I did a really REALLY dumb thing. During a simple RegEx search/replace during a formatting thing I was doing, I managed to not click the "in selection" box. It wiped out everything after a comma... All the items and their formatting were saved, but a lot of sentences became 1/2 sentences, commands had all parameters wiped, examples were blanked, etc. :( "Why didn't you just ctrl+z?" Because I didn't know about it until way WAY after. "Why didn't you restore a backup?" The last one I had was pre-finish, let alone pre-formatting changes I had started to do. So, yeah, moral of the story is back your shit up (frequently) and don't make formatting changes to a master document...
On a positive note, I've gotten EVERYTHING redone except for commands H-Z (so like 90% of all lexems in the lexer). As a bonus, the rewrite (I don't like saying rewrite. It's more like re-transcribe and re-format...) allowed me to restructure everything and made the whole process go much faster and smoother. It took probably less than 1/2 the time to do it the second time around. :)
I've also added quite a bit to the "things I'd like to change/implement" list. Not going to post it because I don't know what I want to keep and not keep and don't want to get hopes up. But I will mention one thing I came up with that I really liked and want to run with. I came up with this option. No name yet but I'm thinking SynGUIs or SynStrings. Anyway, the current idea is based on a .syn hotstring. It checks the command/function just typed, looks it up, and then loads a small GUI with that command/function and all its parameters preloaded with defaults (maybe add an option to save user preferred command defaults?). The first design was to use all edit boxes but then I decided to use param appropriate controls. If there are only 3 options, add a dropdown with the 3 options. If there are multiple options, add some checkboxes. Tab navigation. Escape to close. Enter (or click OK button) to insert command where it just was. AKA mouseless navigation. Also, I'd like to implement some kind of error checking. I'm hoping something like this will result in faster code creation with fewer errors. I've already started working on this as a "take a break from writing and formatting the API".
So, that's the update. I hope to have a working beta for you guys sooner than later. Just know that I'm actively working on this every day during my free time. :)
Edit 18Oct2018: I've pretty much written an entire AHK v1.1 Lexicon from the online docs. From that I've made an updated/revised ahk.api rewrite. Admittedly, I think the calltips are a bit large and I need to consider trimming them down or possibly just making a "lite" version with more minimalisitic calltips. I've created some more Cheat_Sheets. Yay! I'm currently working on updating the syntax file with the new categories I've made. This will expand what gets highlighted and allows for more color options.
I've started updating TillaGoto. All the regexs for labels, hotstrings, and functions have been rewritten. Yes functions now show up! Overhauling the GUI and adding some new features. A new sort feature has been added to sort the results in the lsit box by 1) The order it was found 2) ascending order or 3) descending order. Can be seen in the screenshot below. The original colors were really bright, especially against my happy hacker theme. Screenshot of original TillaGoto. I decided to add a "dark mode". Updated TillaGoto in dark mode with the same file. Dark mode can be accessed from the new system tray icon. If anyone wants to design a neat new icon, feel free to post them. I'll let you know if I want to use it. I want to add classes to the detection list and possibly class method detection. I also want to add a tab system that will allow users to sort results by specific type. So there would be an All tab, a Function tab, a Label tab, etc...
That's not everything, but it's a good chunk. With the lexicon rewrite (which I will be posting, too) and api being done, I'll be able to really focus on the changes and updates I wanted to make.
submitted by GroggyOtter to AutoHotkey [link] [comments]

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The Negative Of The Wealth Factory
There will not be 100% winning in trading, and you must expect that there will be some losing trade from The Wealth Factory. If you can't accept few lose trade, then The Wealth Factory will not be suitable for you. Customer Support
Two forms of customer support exist. There is the sales support for those wishing to make sales inquiries. This service is reachable by email. There is also a general support service which handles technical issues, and which can be reached by email as well.
Traders can also get access to the live chat service and phone contacts from the The Wealth Factory chat room interface.
Overall, our experience with The Wealth Factory was very positive. The signals are communicated in a reliable, timely, effective manner and – most importantly – they were successful. I think the price may turn some people away, although their signals provider tries to put the price into perspective by calculating that $199/week is a small price to pay if you’re able to make a profit of $1000/week.
In any case, this product is bound to attract a lot of attention so it may be worth keeping your eye out for these guys and seeing how their product develops over time.
==> Click here to Download The Wealth Factory Software Now <==
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IQ Option OTC market charts on MT4 terminal - YouTube

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