Index Construction Tool🙏🏻 The most natural mathematical way to construct an index || portfolio, based on contraharmonic mean || contraharmonic weighting. If you currently traded assets do not satisfy you, why not make your own ones?
Contraharmonic mean is literally a weighted mean where each value is weighted by itself.
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Now let me explain to you why contraharmonic weighting is really so fundamental in two ways: observation how the industry (prolly unknowably) converged to this method, and the real mathematical explanation why things are this way.
How it works in the industry.
In indexes like TVC:SPX or TVC:DJI the individual components (stocks) are weighted by market capitalization. This market cap is made of two components: number of shares outstanding and the actual price of the stock. While the number of shares holds the same over really long periods of time and changes rarely by corporate actions , the prices change all the time, so market cap is in fact almost purely based on prices itself. So when they weight index legs by market cap, it really means they weight it by stock prices. That’s the observation: even tho I never dem saying they do contraharmonic weighting, that’s what happens in reality.
Natural explanation
Now the main part: how the universe works. If you build a logical sequence of how information ‘gradually’ combines, you have this:
Suppose you have the one last datapoint of each of 4 different assets;
The next logical step is to combine these datapoints somehow in pairs. Pairs are created only as ratios , this reveals relationships between components, this is the only step where these fundamental operations are meaningful, they lose meaning with 3+ components. This way we will have 16 pairs: 4 of them would be 1s, 6 real ratios, and 6 more inverted ratios of these;
Then the next logical step is to combine all the pairs (not the initial single assets) all together. Naturally this is done via matrices, by constructing a 4x4 design matrix where each cell will be one of these 16 pairs. That matrix will have ones in the main diagonal (because these would be smth like ES/ES, NQ/NQ etc). Other cells will be actual ratios, like ES/NQ, RTY/YM etc;
Then the native way to compress and summarize all this structure is to do eigendecomposition . The only eigenvector that would be meaningful in this case is the principal eigenvector, and its loadings would be what we were hunting for. We can multiply each asset datapoint by corresponding loading, sum them up and have one single index value, what we were aiming for;
Now the main catch: turns out using these principal eigenvector loadings mathematically is Exactly the same as simply calculating contraharmonic weights of those 4 initial assets. We’re done here.
For the sceptics, no other way of constructing the design matrix other than with ratios would result in another type of a defined mean. Filling that design matrix with ratios Is the only way to obtain a meaningful defined mean, that would also work with negative numbers. I’m skipping a couple of details there tbh, but they don’t really matter (we don’t need log-space, and anyways the idea holds even then). But the core idea is this: only contraharmonic mean emerges there, no other mean ever does.
Finally, how to use the thing:
Good news we don't use contraharmonic mean itself because we need an internals of it: actual weights of components that make this contraharmonic mean, (so we can follow it with our position sizes). This actually allows us to also use these weights but not for addition, but for subtraction. So, the script has 2 modes (examples would follow):
Addition: the main one, allows you to make indexes, portfolios, baskets, groups, whatever you call it. The script will simply sum the weighted legs;
Subtraction: allows you to make spreads, residual spreads etc. Important: the script will subtract all the symbols From the first one. So if the first we have 3 symbols: YM, ES, RTY, the script will do YM - ES - RTY, weights would be applied to each.
At the top tight corner of the script you will see a lil table with symbols and corresponding weights you wanna trade: these are ‘already’ adjusted for point value of each leg, you don’t need to do anything, only scale them all together to meet your risk profile.
Symbols have to be added the way the default ones are added, one line : one symbol.
Pls explore the script’s Style setting:
You can pick a visualization method you like ! including overlays on the main chart pane !
Script also outputs inferred volume delta, inferred volume and inferred tick count calculated with the same method. You can use them in further calculations.
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Examples of how you can use it
^^ Purple dotted line: overlay from ICT script, turned on in Style settings, the contraharmonic mean itself calculated from the same assets that are on the chart: CME_MINI:RTY1! , CME_MINI:ES1! , CME_MINI:NQ1! , CBOT_MINI:YM1!
^^ precious metals residual spread ( COMEX:GC1! COMEX:SI1! NYMEX:PL1! )
^^ CBOT:ZC1! vs CBOT:ZW1! grain spread
^^ BDI (Bid Dope Index), constructed from: NYSE:MO , NYSE:TPB , NYSE:DGX , NASDAQ:JAZZ , NYSE:IIPR , NASDAQ:CRON , OTC:CURLF , OTC:TCNNF
^^ NYMEX:CL1! & ICEEUR:BRN1! basket
^^ resulting index price, inferred volume delta, inferred volume and inferred tick count of CME_MINI:NQ1! vs CME_MINI:ES1! spread
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Synthetic assets is the whole new Universe you can jump into and never look back, if this is your way
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Inventory
Chervolinos_Rob Hoffman_Inventory Retracement Bar_and_OverlayHere is something like a combo from the well known Rob Hoffman (Overlay) Indicator and the Inventory Retracement Bar without any ballast
This really smart strategy with a low risk and a quick profit. I combine this two Indicators to save space.
The first condition is that the orange line and the lime line must be parallel and there is no other line between them because this condition is moving under 45 angle.
The second condition is that the target candles must be below the orange line in the case of the downtrend as we see.
As we see it here in the case of an uptrend should be candles above the orange line and this is logical as we see here.
Sometimes we noticed the appearance of the signal onto the candle but the conditions were not applicable because there is an orange line between the green line and the orange line and this means that the signal is fake.
This candle is also good for entry and we can place a buy order above it but is it beginner, so you must respect the conditions in order to be able to master it very well.
Enter with Confidence all conditions are present a red arrow above the candle and the candle is above the orange line and there are no lines between the lime and
orange line. Yes this is our target the entry-point will be a little above the wicked the candle, that is you will not buy now but it's a price exceeds the weight limit
even slightly, we will buy directly it is hoffman's method. Expected if the price in which resistance occurred which is the resistance represented
by the candlewick will be broken the price for rise up and strongly and if it does not happen you will not lose anything anyway to stop loss and take profit. Try the ratio by 1,5.
This part of this strategy is one of the best trading strategies with a low risk rate and can be used as an initial guide to know the market movement and to enter successful trades.
Let's start correctly. This strategy can be used on any time frame from one minute to one day or even more, but I recommend using it on a 10-minute frame one hour or 30 minutes frame. Here I use the 30-Minute frame.
This strategy is based on two things: Tramp Direction and the inventory retracement bar. Don't worry and don't think about it because all this will be automatic but let's understand some simple terms.
There many arrows in green and red. Please read the discription above.
Please read the following tipps:
To avoid the trend Reversal, try to add one one of the Divergence indicators to your chart.
To avoid entering in a pullback movement as much as possible.
--> Combine it with other indicators <--
Best Regards Chervolino
if there were any typographical errors, please forgive me
Note: Buy/Sell signals using non-standard chart types (Heikin Ashi, Renko, Kagi, Point & Figure, and Range) are not allowed, as they produce unrealistic results
Rob Hoffman's Inventory Retracement Bar - by UCSgearsClaims by Rob Hoffman
Developed and used to win trading competitions around the world, the Hoffman Inventory Retracement Trade is quickly becoming one of the most popular ways to identify where short-term counter trend institutional inventory has subsided and when it’s time to re-enter into a trade’s original trend direction.
I have not included the TREND condition.
- Enjoy
Rob Hoffman Inventory Retracement Bar - tradersonline-mag.com
