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Periodic EllipsesThe following script periodically plot ellipses to the chart, where the maximum height of the ellipses is determined by the price high of the user-selected time frame while the price low determines the minimum height of the ellipses.
The selected time frame affects the frequency at which the ellipses are plotted, for example, a selected time frame of 1 week will plot an ellipse every week
Note that time frames that are close to the one used in the main chart can return noncircular shapes
Here the main time frame is 15 minutes, while the time frame in the script is 1 hour.
By default the script uses future data, and as such repaint which makes it only useful in offline (non-real time) situations, you can make the script use only past data by deselecting the "repaint" option.
Interpretation And Construction
In terms of usages and interpretation ellipses are similar to bands indicators, as such we can use ellipses in a breakout methodology, where a closing price crossing over the upper bound indicating an uptrend and a closing price crossing under the lower bound indicating a downtrend.
By default, the color of the plots are based on a gradient determined by the position of the closing price relative to the ellipse, with a closing price closer to the upper bound of the ellipse returning a blue color and a closing price closer to the lower bound returning a red color, the intermediate color is violet. When repainting mode is deactivated a blue color indicates an up-trend, while a red color indicates a down-trend, violet colors on the other hand indicate a ranging market.
The ellipses can also determine possible retracements, as such the upper bound of the ellipse can act as a support in an uptrend while the lower bound can act as a resistance in a downtrend.
Construction
Peoples might be interested in the construction of ellipses, this task is not complicated. We can construct circular shapes by using the equation of a semi-circle described as follows:
C = √(1 - x*x)
with 1 ≥ x ≥ -1 , values of x greater than 1 or lower than -1 will return na . In the script, the variable basis creates a line starting at -1 and ending at 1, we then only need to apply the previous equation to this line to have a semi-circle. This semi-circle is in a range of (0,1), so we need to rescale it in a useful range, let's define the highest high of the selected time frame as H and the lowest low as L , the upper and lower bound of the ellipse are calculated as follows:
upper = avg(H,L) + C*(H - avg(H,L))
lower = avg(H,L) - C*(avg(H,L) - L)
Summary
A script plotting ellipses has been proposed, we have seen that the signals that can be generated are similar to the one generated by band indicators, note however that the script has not been made to be a serious indicator, it would be more advisable to use regular band indicators instead.
Thx to @freds_view for the question.
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Bitcoin Margin Call Envelopes [saraphig & alexgrover]Bitcoin is the most well known digital currency, and allow two parties to make a transaction without the need of a central entity, this is why cryptocurrencies are said to be decentralized, there is no central unit in the transaction network, this can be achieved thanks to cryptography. Bitcoin is also the most traded cryptocurrency and has the largest market capitalization, this make it one of the most liquid cryptocurrency.
There has been tons of academic research studying the profitability of Bitcoin as well as its role as a safe heaven asset, with all giving mixed conclusions, some says that Bitcoin is to risky to be considered as an hedging instrument while others highlight similarities between Bitcoin and gold thus showing evidence on the usefulness of Bitcoin acting as an hedging instrument. Yet Bitcoin seems to attract more short term speculative investors rather than other ones that would use Bitcoin as an hedging instrument.
Once introduced, cryptocurrencies where of course heavily analyzed by technical analyst, and technical indicators where used by retail as well as institutional investors in order to forecast the future trends of bitcoin. I never really liked the idea of designing indicators that specifically worked for only one type of market and ever less on only one symbol. Yet the user @saraphig posted in Feb 20 an indicator called " Margin Call MovingAverage " who calculate liquidation price by using a volume weighted moving average. It took my attention and we decided to work together on a relatively more complete version that would include resistances levels.
I believe the proposed indicator might result useful to some users, the code also show a way to restrict the use of an indicator to only one symbol (line 9 to 16).
The Indicator
The indicator only work on BTCUSD, if you use another symbol you should see the following message:
The indicator plot 6 extremities, with 3 upper (resistance) extremities and 3 lower (support) extremities, each one based on the isolated margin mode liquidation price formula:
UPlp = MA/Leverage × (Leverage+1-(Leverage*0.005))
for upper extremities and:
DNlp = MA × Leverage/(Leverage+1-(Leverage*0.005))
for lower extremities.
Length control the period of the moving averages, with higher values of length increasing the probability of the price crossing an extremity. The Leverage's settings control how far away their associated extremities are from the price, with lower values of Leverage making the extremity farther away from the price, Leverage 3 control Up3 and Dn3, Leverage 2 control Up2 and Dn2, Leverage 1 control Up1 and Dn1, @saraphig recommend values for Leverage of either : 25, 20, 15, 10 ,5.
You can select 3 different types of moving average, the default moving average is the volume weighted moving average (VWMA), you can also choose a simple moving average (SMA) and the Kaufman adaptive moving average (KAMA).
Based on my understanding (which could be wrong) the original indicator aim to highlight points where margin calls might have occurred, hence the name of the indicator.
If you want a more "DSP" like description then i would say that each extremity represent a low-pass filter with a passband greater than 1 for upper extremities and lower than 1 for lower extremities, unlike bands indicators made by adding/subtracting a volatility indicator from another moving average this allow to conserve the original shape of the moving average, the downside of it being the inability to show properly on different scales.
here length = 200, on a 1h tf, each extremities are able to detect short-terms tops and bottoms. The extremity become wider when using lower time-frames.
You would then need to increase the Leverages settings, i recommend a time frame of 1h.
Conclusion
I'am not comfortable enough to make a conclusion, as i don't know the indicator that well, however i liked the original indicator posted by @saraphig and was curious about the idea behind it, studying the effect of margin calls on market liquidity as well as making indicators based on it might result a source of inspiration for other traders.
A big thanks to @saraphig who shared a lot of information about the original indicator and allowed me to post this one. I don't exclude working with him/her in the future, i invite you to follow him/her:
www.pulsewire.com
Thx for reading and have a nice weekend! :3 Indicator
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Extended Recursive Bands - Maximum Efficiency With Extra OptionsIntroducing A New Calculation For Efficient Bands Calculation !
Here it is ! The Recursive Bands Indicator, an indicator specially created to be extremely efficient, i think you already know that calculation time is extra important in algorithmic trading, and this is the principal motivation for the creation of the proposed indicator. Originally described in my paper "Pierrefeu, Alex (2019): Recursive Bands - A New Indicator For Technical Analysis" , the indicator framework has been widely used in my previous uploaded indicators, however it would have been a shame to not upload it, however user experience being a major concern for me, i decided to add extra options, which explain the term "extended".
On The Indicator Calculation
You can skip this part if it doesn't interest you. The calculation of the indicator is based on recursion, but i want to explain the mathematical formula described in the paper.
I've seen some users trying to remake it from the calculations, however there was always something weird, and i understand, mathematical notations are always a bit weird, even myself don't always write them correctly/understand them, however this one is relatively simple to understand.
First lets explain each elements of the calculation :
α = smoothing constant, or 2/(length+1)
max/min = maximum and minimum function, max return the greatest input value while min return the lowest one, for example :
max(4,2) = 4 while min(4,2) = 2
the "||" notation mean taking the absolute value, for example : |-1| = abs(-1) = 1
The calculation after the max/min function is called the correction factor, and is the core of the indicator. The last two variables are just here to provide an initial value for upper and lower, basically when we start our calculations we will assign the value of the closing price for upper and lower.
The motivation behind using a smoothing constant in range of (0,1) was to tell the reader that the indicator is easily made adaptive, this is what i did on my adaptive trailing stop indicator by using the efficiency ratio as smoothing variable, the user can use 1/length instead of the provided calculation for alpha.
If you interested on the indicator main logic, it is actually really simple, by using upper = max(price,upper) and lower = min(price,lower) we would get the maximum/minimum price value at time t , therefore upper can only be greater or equal than its precedent value, while lower can only be lower or equal than its precedent value, in order to fix that we subtract/sum upper/lower with a value, this allow the upper band to be lower than its precedent value and lower to be greater than its precedent value, this is the role of the correction factor.
The Indicator
The indicator display one upper and one lower band, every common usages applied to bands indicators such as support/resistance, breakout, trailing stop...etc, can also be applied to this one. length control how reactive the bands are, higher values of length will make the bands cross the price less often.
In order to provide more flexibility for the user i added the option to use various methods for the calculation of the indicator, therefore the indicator can use the average true range, standard deviation, average high-low range, and one totally exclusive method specially designed for this indicator.
Classic Method
This option make the indicator use its classical calculation, this is the most efficient method of all.
Atr Method (atr)
This method use the average true range as correction factor, notice that lower values of length can still produce wide band.
Standard Deviation Method (stdev)
This method use a biased estimate of the standard deviation as correction factor.
The method produce smoother bands that converge more slowly toward the price in comparison with the classic correction factor.
Average High-Low Range Method (ahlr)
This method use the average of the high-low range as correction factor, extremely similar to the average true range.
Rising Falling Volatility (rfv) Method
A new method created for this indicator, this correction factor use the absolute prices changes when price value is greater/lower than any length past values of the price, this allow to have more boxy shaped bands, work best with greater values of length.
The bands can be in contact with this method, a possible fix in the future.
Conclusion
The recursive band indicator is one of my greatest indicators in my opinion (i would love to have yours), as you can see the idea behind it is extremely simple and allow for a super efficient band indicator, which was the original motivation behind it, in order to provide more fun for the users i also added more option for the correction factor, this allow the user to be creative and not get stuck with the original calculation.
Like the trend step indicator family we have almost ended our series on the recursive band framework, 1 more trailing stop will be added in the future, and then we'll have more "boring" stuff until i find something cool again, it shouldn't be long ;)
Thanks for reading !
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Smart Envelope - Running Away From The TrendIntroduction
Envelopes indicators consist in displaying one upper and one lower extremity on the price chart. They are most of the time built by adding/subtracting a volatility estimator (rolling stdev, atr, range...etc) to a central tendency estimator (SMA, EMA, LSMA...etc) . Their interpretation is often subject to debate amongst technical analyst, some will use a support and resistance methodology, where price will start a downtrend once it cross the upper extremity, and a down trend once it cross the lower one. Others will prefer a breakout methodology, where price will reach higher highs once it cross the upper extremity, and lower lows when it cross the lower one. Because of price non stationarity its hard to select the best methodology, the support and resistance one will mostly work on ranging markets, while the breakout methodology mostly work on trending ones.
Therefore new methods where proposed, instead of using moving averages with a high lag, faster filters where used, such as the least squares moving average or zero lag exponential moving average, other band indicators where also created using adaptive filters, but improvements remain relatively low. The most difficult task would be to make extremities with the ability to return accurate support and resistances levels, and today i want to provide a new way to construct such extremities by using the recursive bands framework that allow extremely creative and efficient indicators.
The Main Idea
With classical bands indicators, the upper and lower extremity will still be correlated with the main trend, the problem behind such method is that we can't use a support and resistance methodology with trending markets, the fact that reversals exist tells us that our extremities will always be crossed by the main trend, here is an example :
Here the support is correlated with the main trend, in order for it to be accurate we must assume the trend will go on for ever, and will only detect higher lows, this is what we expect with the orange line, but we can see that a severe down trend totally destroy our plan.
In short we need to give some headroom to our extremities, and thus one extremity can't be correlated with the main trend.
The proposed Indicator
We want to minimize the correlation between the extremities, so if the upper extremity rise, the lower one must fall. This allow to give some headroom and allow the user to anticipate larger movements, this is how bands seeking to give support and resistances points should work.
The indicator has a length setting that control the wideness of the extremities, unlike other indicators low values such as 14 can still create really wide bands, take that into account.
length = 5. Lower length values allow for more motion from the extremities, but does not necessarily involve detecting shorter terms support and resistances levels. The factor setting is not that important, but it allow to return extremities with more motion when high, and really wide bands when below 1 and greater than 0.
Central Tendency Estimator
Something fun with the recursive band framework is that the bands are no longer based on the central tendency estimator but its the central tendency estimator who is based on the bands. The central tendency estimator can also provide support and resistances points with the price, like classical moving averages, altho its lack of motion is this time a downside.
Conclusion
Altho the extremities are more accurate than other band indicators, the problem remain the same, larger trend will always break the extremities and continue creating higher/lower highs/lows, at this point our stop loss would certainly be triggered. This is a huge downsides of contrarian strategy, we sure might anticipate reversals earlier, but we are exposed to larger price movements, therefore the risk is extreme.
But the proposed methodology might still prove useful to develop more robust support and resistances levels based on envelopes indicators.
Thanks for reading !
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Price-Curve ChannelIntroduction
Although many will use lines in order to make support and resistances, others might use curves, this is logical since trends are not always linear. Therefore it was also important to take this into consideration, and when i published the price-line channel indicator, i already started a curved version of it. Therefore i propose this new indicator based on the recursive bands framework that allow to return curved support and resistances. The benefits of this indicator are : a totally stable approach, user friendly, and extremities able to converge faster toward the price.
The Indicator
The indicator is way faster than the price-line channel one, this is due to the fast convergence toward the price of the extremities. Length control the reactivity of the indicator, while mult is more related to the rate of convergence, values of mult lower than 1 will make the curve converge slower,
mult = .5
Higher values of mult will make the extremities converge faster toward the price.
mult = 2
Unlike the price-line channel indicator this one is directly "readjusted", this is due to the fact that the extremities are no longer linear, of course a "perfectly" curved version could come in an update, but for the moment it wasn't really a necessity.
Comparison With Price-Line
The fact that the extremities converge faster toward the price allow to possibly capture more tops/bottoms/retracements. However the extremities of both indicator have the same behavior regarding their accuracy, for example the upper extremity have a higher chance to detect a retracement when on a downtrend, while the lower extremity have higher chance to detect a retracement while on a up-trend.
On The Indicator Construction
The recursive bands framework is the core of the indicator, it is important to use it. The curved effect is given by multiplying the correction factor by the barssince function, therefore the correction factor is no longer constant which in return allow for a non linear output.
The size is divided by the square of length in order to keep a certain logic between the output and the length period.
Conclusion
The recursive bands framework prove again to be quite interesting, lot of indicators can be made using it, i only posted a fraction of what can be done with it, which make the recursive bands indicator one of the best indicators i ever made in my opinion.
The proposed indicator is stable, and don't require nightmarish manipulations (unlike the linear channels indicator), its ability to detect possible support and resistances points, although subjective, remain a feature of the indicator. The use of recursion make the indicator efficient. I hope the indicator find some use in the community.
Thanks for reading !
Linear version.
Note
Respect the house rules, always request permission before publishing open source code. This is an original work, requesting permission is the least you can do.
I apologize for any grammatical/orthographic error in this post.
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