Three Anchored Moving Averages (VWAP / SMA / EMA)
This indicator allows users to anchor three types of moving averages (Simple Moving Average (SMA), Exponential Moving Average (EMA), and Volume Weighted Average Price (VWAP)) to specific points in time (anchor points)
Key Features:
Select from three Moving Average Types:
Simple Moving Average (SMA): Averages the closing prices over a specified period.
Exponential Moving Average (EMA): Gives more weight to recent prices, making it more responsive to new information.
Volume Weighted Average Price (VWAP): Averages the price weighted by volume, useful for understanding the average price at which the asset has traded over a period.
Up to Three Anchor Points:
Users can set up to three different anchor points to calculate the moving averages from specific dates and times. This allows for analysis of price action starting from significant points or specific events. For example, you can anchor to the low and high of a move to identify key levels or to points where the price takes off from a previous anchored MA.
Customisable Sentiment Options:
Each anchor point can be associated with a sentiment input (Auto, Bull, Bear, None), which influences if the MAs are displayed as lines or zones/bands:
Auto: Automatically determines the sentiment based on whether anchor points are on pivot highs and lows. If anchored to a pivot high, the system will assume a bearish sentiment and display a red band or zone between the MA OHLC4 and High. Anchoring to a pivot low will display a green band (OHLC4 - Low).
Bull: Forces a bullish sentiment (Green Band - OHLC4 to Low)
Bear: Forces a bearish sentiment (Red Band - OHLC4 to High)
None: Ignores sentiment and displays a single line (OHLC4)
Chart Matching:
The indicator includes an option to display the moving averages only if the chart symbol matches a specified ticker. This feature ensures that the indicator is relevant to the specific asset being analysed.
How to Use the Indicator:
1. Set Anchor Points: When added to your chart, select three anchor points by point and click. If you only wish to anchor to a single point, click on that point three times and disable the other two in settings once the indicator is applied.
2. Select Moving Average Type: Choose between SMA, EMA, or VWAP using the dropdown menu. EMAs are the most responsive.
3. Enable/Disable Anchor Points: Use the checkboxes to enable or disable each anchor point.
4. Select Sentiment Type: Choose between Auto, Bull, Bear, or None.
5. Chart Matching: Optionally, specify a chart symbol to restrict the indicator's display to that particular asset.
6. Interpret the Plots: The indicator plots the high, mid, and low values of the selected moving average type from each anchor point. The fills between these plots help identify potential support and resistance zones. These should be used as points of interest for pullback reversals or potential continuation if the price breaks through.
Practical Applications:
Trend Analysis: Identify the overall trend direction from specific historical points.
Support and Resistance: Determine key dynamic support and resistance levels based on anchored moving averages.
Event-Based Analysis: Anchor the moving averages to significant events (e.g., earnings releases, economic data) to study their impact on price trends.
Multi Timeframe Analysis: Higher Timeframe Anchors can be used to identify longer term trend analysis. Switching to a lower timeframe for execution triggers at these points wont distort the MA levels as they are anchored to a specific point in time
Intraday or Swing Trading: trend analysis using anchor points can be used for any style of trading (Intraday / Swing / Invest). Use anchored levels as points of interest and wait for hints in price action to try and catch the next move.
在脚本中搜索"moving averages"
Multiple Timeframe Five Moving AveragesThis allows you to plot up to 5 moving averages on your chart at once. You can either use the chart's current timeframe or select a custom timeframe for your 5 moving averages (for example, you can see the 200DMA on your 4h chart without having to adjust the moving average length). You can also choose amongst SMA , EMA , and HULLMA for each MA.
Magic Moving Averages!Magic Moving Averages! is an indicator that comes standard in many forex trading platforms, and now on Tradingview designed for comfortable readability! It incorporates a series of simple moving averages plotted together with increasing periods. Finding a good trade with this is easily found with a set of rules. I took a course with Alex du Plooy on these rules and am using his suggested default values, however there are many more teachers of this method that have various rules that may be similar. If you desire a greater MA spread simply increase the MA Separation value in the input. Best for 15 mins or longer charts.
Happy trading
Moving averages (EMA & SMA) by magariMoving averages (EMA & SMA)
The script contains moving averages:
- Exponential Moving Averages: EMA20, EMA50, EMA100, EMA200
- Simple Moving Averages: SMA50, SMA100 & SMA200.
You can display all of them in one chart and they count as one indicator (perfect for non pro users) switch each of them on or off and change their colors and line widths.
[GrandAlgo] Moving Averages Cross LevelsMoving Averages Cross Levels
Many traders watch for moving average crossovers – such as the golden cross (50 MA crossing above 200 MA) or death cross – as signals of changing trends. However, once a crossover happens, the exact price level where it occurred often fades from view, even though that level can be an important reference point. Moving Averages Cross Levels is an indicator that keeps those crossover price levels visible on your chart, helping you track where momentum shifts occurred and how price behaves relative to those key levels.
This tool plots horizontal line segments at the price where each pair of selected moving averages crossed within a recent window of bars. Each level is labeled with the moving average lengths (for example, “21×50” for a 21/50 MA cross) and is color-coded – green for bullish crossovers (short-term MA crossing above long-term MA) and red for bearish crossunders (short-term crossing below). By visualizing these crossover levels, you can quickly identify past trend change points and use them as potential support/resistance or decision levels in your trading. Importantly, this indicator is non-repainting – once a crossover level is plotted, it remains fixed at the historical price where the cross occurred, allowing you to continually monitor that level going forward. (As with any moving average-based analysis, crossover signals are lagging, so use these levels in conjunction with other tools for confirmation.)
Key Features:
✅ Multiple Moving Averages: Track up to 7 different MAs (e.g. 5, 8, 21, 50, 64, 83, 200 by default) simultaneously. You can enable/disable each MA and set its length, allowing flexible combinations of short-term and long-term averages.
✅ Selectable MA Type: Each average can be calculated as a Simple (SMA), Exponential (EMA), Volume-Weighted (VWMA), or Smoothed (RMA) moving average, giving you flexibility to match your preferred method.
✅ Auto Crossover Detection: The script automatically detects all crosses between any enabled MA pairs, so you don’t have to specify pairs manually. Whether it’s a fast cross (5×8) or a long-term cross (50×200), every crossover within the lookback period will be identified and marked.
✅ Horizontal Level Markers: For each detected crossover, a horizontal line segment is drawn at the exact price where the crossover occurred. This makes it easy to glance at your chart and see precisely where two moving averages intersected in the recent past.
✅ Labeled and Color-Coded: Each crossover line is labeled with the two MA lengths that crossed (e.g. “50×200”) for clear identification. Colors indicate crossover direction – by default green for bullish (positive) crossovers and red for bearish (negative) crossovers – so you can tell at a glance which way the trend shifted. (You can customize these colors in the settings.)
✅ Adjustable Lookback: A “Crosses with X candles” input lets you control how far back the script looks for crossovers to plot. This prevents your chart from getting cluttered with too many old levels – for example, set X = 100 to show crossovers from roughly the last 100 bars. Older crossover lines beyond this lookback window will automatically clear off the chart.
✅ Optional MA Plots: You can toggle the display of each moving average line on the chart. This means you can either view just the crossover levels alone for a clean look, or also overlay the MA curves themselves for additional context (to see how price and MAs were moving around the crossover).
✅ No Repainting or Hindsight Bias: Once a crossover level is plotted, it stays at that fixed price. The indicator doesn’t move levels around after the fact – each line is a true historical event marker. This allows you to backtest visually: see how price acted after the crossover by observing if it retested or respected that level later.
How It Works:
1️⃣ Add to Chart & Configure – Simply add the indicator to your chart. In the settings, choose which moving averages you want to include and set their lengths. For example, you might enable 21, 50, 200 to focus on medium and long-term crosses (including the golden cross), or turn on shorter MAs like 5 and 8 for quick momentum shifts. Adjust the lookback (number of bars to scan for crosses) if needed.
2️⃣ Visualization – The script continuously checks the latest X bars for any points where one MA crossed above or below another. Whenever a crossover is found, it calculates the exact price level at which the two moving averages intersected. On the last bar of your chart, it will draw a horizontal line segment extending from the crossover bar to the current bar at that price level, and place a label to the right of the line with the MA lengths. Green lines/labels signify bullish crossovers (where the first MA crossed above the second), and red lines indicate bearish crossunders.
3️⃣ On Your Chart – You will see these labeled levels aligned with the price scale. For example, if a 50 MA crossed above a 200 MA (bullish) 50 bars ago at price $100, there will be a green “50×200” line at $100 extending to the present, showing you exactly where that golden cross happened. You might notice price pulling back near that level and bouncing, or if price falls back through it, it could signal a failed crossover. The indicator updates in real-time: if a new crossover happens on the latest bar, a new line and label will instantly appear, and if any old cross moves out of the lookback range, its line is removed to keep the chart focused.
4️⃣ Customization – You can fine-tune the appearance: toggle any MA’s visibility, change line colors or label styles, and modify the lookback length to suit different timeframes. For instance, on a 1-hour chart you might use a lookback of 500 bars to see a few weeks of cross history, whereas on a daily chart 100 bars (about 4–5 months) may be sufficient. Adjust these settings based on how many crossover levels you find useful to display.
Ideal for Traders Who:
Use MA Crossovers in Strategy: If your strategy involves moving average crossovers (for trend confirmation or entry/exit signals), this indicator provides an extra layer of insight by keeping the price of those crossover events in sight. For example, trend-followers can watch if price stays above a bullish crossover level as a sign of trend strength, or falls below it as a sign of weakness.
Identify Support/Resistance from MA Events: Crossover levels often coincide with pivot points in market sentiment. A crossover can act like a regime change – the level where it happened may turn into support or resistance. This tool helps you mark those potential S/R levels automatically. Rather than manually noting where a golden cross occurred, you’ll have it highlighted, which can be useful for setting stop-losses (e.g. below the crossover price in a bullish scenario) or profit targets.
Track Multiple Averages at Once: Instead of focusing on just one pair of moving averages, you might be interested in the interaction of several (short, medium, and long-term trends). This indicator caters to that by plotting all relevant crossovers among your chosen MAs. It’s great for multi-timeframe thinkers as well – e.g. you could apply it on a higher timeframe chart to mark major cross levels, then drill down to lower timeframes knowing those key prices.
Value Clean Visualization: There are no flashing signals or arrows – just simple lines and labels that enhance your chart’s storytelling. It’s ideal if you prefer to make trading decisions based on understanding price interaction with technical levels rather than following automatic trade calls. Moving Averages Cross Levels gives you information to act on, without imposing any bias or strategy – you interpret the crossover levels in the context of your own trading system.
Moving Averages + BB & R.VWAP StDev (multi-tf)█ Moving Averages + Bollinger Bands and Rolling Volume Weighted Average Price with Standard Deviation Bands (Multi Timeframe)
Multiple moving averages can be independently applied.
The length , type and timeframe of each moving average are configurable .
The lines and colors are customizable too.
This script can display:
Moving Averages
Bollinger Bands
Rolling VWAP and Standard Deviation Bands
Types of Moving Averages:
Simple Moving Average (SMA)
Exponential Moving Average (EMA)
Smoothed Moving Average (SMMA)
Weighted Moving Average (WMA)
Volume Weighted Moving Average (VWMA)
Least Squares Moving Average (LSMA)
Hull Moving Average (HMA)
Arnaud Legoux Moving Average (ALMA)
█ Moving Average
Moving Averages are price based, lagging (or reactive) indicators that display the average price of a security over a set period of time.
A Moving Average is a good way to gauge momentum as well as to confirm trends, and define areas of support and resistance.
█ Bollinger Bands
Bollinger Bands consist of a band of three lines which are plotted in relation to security prices.
The line in the middle is usually a Simple Moving Average (SMA) set to a period of 20 days (the type of trend line and period can be changed by the trader, a 20 day moving average is by far the most popular).
The SMA then serves as a base for the Upper and Lower Bands which are used as a way to measure volatility by observing the relationship between the Bands and price.
█ Rolling VWAP
The typical VWAP is designed to be used on intraday charts, as it resets at the beginning of the day.
Such VWAPs cannot be used on daily, weekly or monthly charts. Instead, this rolling VWAP uses a time period that automatically adjusts to the chart's timeframe.
You can thus use the rolling VWAP on any chart that includes volume information in its data feed.
Because the rolling VWAP uses a moving window, it does not exhibit the jumpiness of VWAP plots that reset.
Based on the previous script :
Moving AveragesWhile this "Moving Averages" indicator may not revolutionize technical analysis, it certainly offers a valuable and efficient solution for traders seeking to streamline their chart analysis process. This all-in-one tool addresses a common frustration among traders: the need to constantly search for and compare different types and lengths of moving averages.
Key Features
The indicator allows for the configuration of up to 5 moving averages simultaneously, providing a comprehensive view of price trends. Users can choose from 7 types of moving averages for each line, including SMA, EMA, WMA, VWMA, HMA, SMMA, and TMA. This variety ensures that traders can apply their preferred moving average types without the need for multiple indicators.
Each moving average can be fully customized in terms of length, color, line style, and thickness, allowing for clear visual differentiation. However, what sets this indicator apart is its "Smart Opacity" feature. When activated, this option dynamically adjusts the transparency of the moving average lines based on their direction, with ascending lines appearing more opaque and descending lines more transparent. This subtle yet effective visual cue aids in quickly identifying trend changes and potential trading signals.
Advantages
The primary benefit of this indicator lies in its convenience. By consolidating multiple moving averages into a single, customizable tool, it saves traders valuable time and reduces chart clutter. The Smart Opacity feature, while not groundbreaking, does offer an intuitive way to visualize trend strength and direction at a glance.
Moreover, the indicator's flexibility makes it suitable for various trading styles and experience levels. Whether you're a novice trader learning to interpret basic trend signals or an experienced analyst fine-tuning a complex strategy, this tool can adapt to your needs.
In conclusion, while this "Moving Averages" indicator may not be a game-changer in the world of technical analysis, it represents a thoughtful refinement of a fundamental trading tool. By focusing on user convenience and visual clarity, it offers a practical solution for traders looking to optimize their chart analysis process and make more informed trading decisions.
Moving Averages Proximity Oscillator [LuxAlgo]This indicator returns the percentage or count of prices greater than simple moving averages with periods in a user set range, as well as the moving average period that is the closest to price values.
Settings
Minimum Length: Minimum SMA period
Maximum Length: Maximum SMA period
Smooth: Control the degree of smoothness of the indicator outputs
Normalized: Normalize the indicator outputs in a range (0, 100)
Src: Input source of the indicator
Usage
The indicator returns two outputs.
The "Price Above MA's" output returns for a current price value the number of times this one is greater than simple moving averages with periods ranging from Minimum Length to Maximum Length . This oscillator can be expressed as a percentage if Normalized is selected.
This oscillator allows identifying the direction of an underlying trend in the price. Higher Minimum Length and Maximum Length settings will return indications regarding longer term price variations, while shorter ranges will return less detailed outputs. This can be seen in the chart above where Minimum Length = 80 to Maximum Length = 100 .
The "Proximity Index" output on the other end does not return information regarding the direction of an underlying trend but the period of the simple moving average with periods ranging from Minimum Length to Maximum Length that is the closest to the current price value.
For various simple moving averages of differing periods, we can see that SMA's with shorter periods will tend to stay closer to the price, when price start reverting it will reach higher periods moving averages.
As such, this second indicator output can help identify the start of new trends, with higher values indicating price is reverting toward longer-term moving averages, suggesting a new trend forming.
Moving Averages w/Signals [CSJ7]Unlock the power of three dynamic moving averages: Fast, Medium, and Slow. Choose between the reliability of Simple or the responsiveness of Exponential MAs. Plus, with our tailored Buy and Sell signals based on user-defined crossing scenarios, you're equipped with a clear roadmap in the ever-changing landscape of the markets.
1. Spot Trends with Ease: Our color-coded system makes identifying the market's direction intuitive. Green signals bullish momentum, while red indicates bearish movements.
2. Precision Signals: Navigate the markets confidently with our Buy and Sell signals, designed to highlight potential entry and exit points.
3. Gauge Trend Strength: The color intensity between the Medium and Slow MAs offers a visual cue on the trend's strength, ensuring you're always in the know.
Limitations:
- Inherent Lag: As with all moving average tools, there's a natural delay. But it's this reflective nature that offers valuable insights.
- Stay Alert in Sideways Markets: During consolidative phases, the indicator might produce occasional false signals. Always cross-reference with other tools.
- Customization is Key: The tool's true potential shines when you adjust the settings to align with your trading style and strategy.
4. How to Use:
Quick Setup: Select your preferred MA type, set the lengths, and define your ideal crossover scenarios. It's that simple!
Interpreting Signals: A green triangle below the price suggests a potential buying zone, while a red triangle above hints at a selling opportunity.
Trend Insights: The color gradient between the Medium and Slow MAs offers a visual representation of the trend's vigor. The more vibrant, the stronger the trend.
Elevate your trading strategy with the Moving Averages w/Signals & AutoTrade . With clarity and precision, it's the companion every trader deserves.
Moving averages & clouds
Hi all!
This is a script that lets you have 3 moving averages (of a user defined type) and maybe have an alternative cloud (fill) between them. The cloud can be customized and turned on/off in the "style" tab for the indicator.
Alerts can be configured to fire on up/down/all crosses and are activated when the whole candle has crossed the morning average.
A higher time frame can be configured for the moving averages.
You can hide the moving average, but show the cloud:
You can have multiple clouds:
You can have moving averages from a higher time frame (here from weekly time frame on a daily chart):
Best of trading luck!
Moving Averages Ribbon (7 EMAs/SMAs)This Indicator provides a combination which is suitable for visualizing many Simple Moving Averages (SMAs) and Exponential Moving Averages (EMAs). There are 7 possible periods 5,9,20,50,100,200,250. There is a possibility to show only EMAs or only SMAs or both. EMAs have thinner curves by default, to be able to distinguish them from SMAs. Additionally, there are highlighted channels between the MAs of the highs and the MAs of the lows, showing a channel of specific moving averages. It comes with a presetting showing EMAs 5,9,20,50,200 and SMAs 9,20,50,200, while the MA channels are only visible for 9 and 50.
EMAs:
SMAs:
Both
Moving Averages Convergence (Agulhada do Didi)The script is based on a strategy developed by Odir “Didi” Aguiar called “Agulhada do Didi”.
It consists in the use of 3 moving averages:
SMA 3
SMA 8
SMA 21
Strategy:
When the averages come together, preferably they pass through a candle, there is a signal. The crossing of the short average (3) with the long average (21) provides us with a confirma-tion of the entry.
Buy:
The average of 3 periods comes out on top, 8 goes in the middle and 21 goes down.
Sell:
Average of 21 periods comes out on top, 8 in the middle and 3 down.
Moving Averages CrossThis Indicator helps you spot crosses between moving averages.
Thought to combine short term and long term strategies.
A complementary element for your trading tool belt.
The First study (short term):
Helps you visualise the relation between two simple moving averages (9,21) by default.
The Second study (long term):
Helps you identify the relation between three simple moving averages (50,100, 200) by default.
Spot Golden Crosses and Death Crosses from far.
Moving Averages Different Type & SourceThis is a indicator to plot moving averages. User has the option to choose whether to plot SMA (simple moving average) or EMA (exponential moving average). Length of the averages also can be changed by user. The main feature also is use of different source for different length of MAs. Like you can plot 9SMA High with 20EMA Close etc. So, you can plot different types of combinations with type of MA (sma and ema) and Source type (high, low, open, close etc.).
A table also added in the right top to show the values of MA in selected timeframe. The red color indicate current price is below that ma and green color indicate current price is above that ma. Same feature added in plot of ma line by checking toggle color feature option on. It will show green color ma when price is above it and red color ma lines when price is below it.
Moving Averages Trend FilterA filter to determine the trend using moving averages.
Plotted as text on a different panel.
Different outputs:
- Bullish Trend
- Bearish Trend
- Sideways
You can use up to 4 MAs. Fill in the inputs in order, be it the first being the fastest and the last being the slowest.
You can change between EMAs and SMAs. You can activate/deactivate the MAs to be used as a filter and choose them .
There's an option of minimum bars to define the trend.
**If the pane is mixed with the indicators, move it below using right click.
Moving Averages Bundle (EMA/SMA)Ver.4 (4/25/18)
EMA and SMA indicators ALL in one!
Default: SMA (20, 50, 100, 200) or EMA (8, 13, 21, 55)
Save your TV indicator use counts by using SMA/EMA
Functionality all in one indicator:
1) Toggle between Exponential or Simple moving averages.
2) Customize and or input your very own MA's by simply changing the input options from default.
3) Change color combos.
4) Turn off/on only the SMA/EMA's that you require.
Moving Averages RefurbishedIntroduction
This is a collection of multiple moving averages, where you can have a rainbow of moving averages with different types that can be defined by the user.
There are already other indicators in this rainbow style, however certain averages are absent in certain indicators and present in others,
needing the merge to have a more complete solution.
Resources
Here there is the possibility to individually define each moving average.
In addition, it is possible to adjust some details, such as themes, coloring and periods.
Regarding the calculation of averages, credit goes to the following authors.
What I've done here is to group these averages together and allow them to combine.
Credits
TradingView
PineCoders
CrackingCryptocurrency
MightyZinger
Alex Orekhov (everget)
alexgrover
paragjyoti2012
Moving averages available
1. Exponential Moving Average
2. Simple Moving Average
3. Relative Moving Average
4. Weighted Moving Average
5. Ehlers Dynamic Smoothed Moving Average
6. Double Exponential Moving Average
7. Triple Exponential Moving Average
8. Smoothed Moving Average
9. Hull Moving Average
10. Fractal Adaptive Moving Average
11. Kaufman's Adaptive Moving Average
12. Volatility Adjusted Moving Average
13. Jurik Moving Average
14. Optimized Exponential Moving Average
15. Exponential Hull Moving Average
16. Arnaud Legoux Moving Average
17. Coefficient of Variation Weighted Exponential Moving Average
18. Coefficient of Variation Weighted Moving Average
19. * Ehlrs Modified Fractal Adaptive Moving Average
20. Exponential Triangular Moving Average
21. Least Squares Moving Average
22. RSI Moving average
23. Simple Triangular Moving Average
24. Triple Hull Moving Average
25. Variable Index Dynamic Average
26. Volume-weighted Moving Average
27. Zero-Lag Exponential Moving Average
28. Zero-Lag Simple Moving Average
29. Elastic Volume Weighted Moving Average
30. Tillson T3
31. Geometric Moving Average
32. Welles Wilder Moving Average
33. Adjusted Moving Average
34. Corrective Moving average
35. Exponentially Deviating Moving Average
36. EMA Range
37. Sine-Weighted Moving Average
38. Adaptive Moving Average TABLE
39. Following Adaptive Moving Average
40. Hilbert based Kaufman's Adaptive Moving Average
41. Median
42. * VWAP
43. * Rolling VWAP
44. Triangular Simple Moving Average
45. Triangular Exponential Moving Average
46. Moving Average Price Correlation
47. Regularized Exponential Moving Average
48. Repulsion Moving Average
49. * Symmetrically Weighted Moving Average
* fixed period averages
Moving Averages HistogramAn interesting idea is to simplify the display of whether ONE fast-moving average crosses FIVE other slower-moving averages using just a histogram.
The idea is to increase the step counter by 1 every time a fast-moving average crosses OVER one of the five slower-moving averages until reaching 5 (highest value) and decrease the step counter by 1 every time the fast-moving average crosses UNDER each one of the five slower moving averages until reaching 0 (lowest value of the histogram).
=== Cut To Chase ===
If the histogram is at the top value 5 (green), it means the FAST moving average is ABOVE ALL slower-moving averages, Hench, the asset is up trending.
If the histogram is at the bottom value 0 (red), it means the FAST moving average is BELOW ALL slower-moving averages, Hench, the asset is down trending.
If the histogram is in the midways between 0 to 5, it means the FAST moving average is starting to cross the slower moving averages which could lead to a trend reversal, up or down, it depends on the direction of the crossing.
=== Notes ===
You can change from a variety of moving averages like RMA, EMA, ALMA, HMA, and so on.
You can reduce the number of slow-moving averages by placing the same length.
You can visualize the moving averages in case you want to see how it works behind, by going to settings and clicking 'Show MA lines'.
Every moving average length can be modified inside settings.
Note that the fast-moving average should have the lowest length.
You can visualize how the moving average is plotted:
Moving Averages Linear CombinatorLinearly combining moving averages can provide relatively interesting results such as a low-lagging moving averages or moving averages able to produce more pertinent crosses with the price.
As a remainder, a linear combination is a mathematical expression that is based on the multiplication of two variables (or terms) with two coefficients (also called scalars when working with vectors) and adding the results, that is:
ax + by
This expression is a linear combination , with x/y as variables and a/b as coefficients. Lot of indicators are made from linear combinations of moving averages, some examples include the double/triple exponential moving average, least squares moving average and the hull moving average.
Today proposed indicator allow the user to combine many types of moving averages together in order to get different results, we will introduce each settings of the indicator as well as how they affect the final output.
Explaining The Effects Of Linear Combinations
There are various ways to explain why linear combination can produce low-lagging moving averages, lets take for example the linear combination of a fast SMA of period p/2 and slow simple moving average of period p , the linear combination of these two moving averages is described as follows:
MA = 2SMA(p/2) + -1SMA(p)
Which is equivalent to:
MA = 2SMA(p/2) - SMA(p) = SMA(p/2) + SMA(p/2) - SMA(p)
We can see the above linear combinations consist in adding a bandpass filter to the fast moving average, which of course allow to reduce the lag. It is important to note that lag is reduced when the first moving average term is more reactive than the second moving average term. In case we instead use:
MA = -2SMA(p/2) + 1SMA(p)
we would have a combination between a low-pass and band-reject filter.
The Indicator
The indicator is based on the following linear combination:
Coeff × LeadingMA(length) - (Coeff-1) × LaggingMA(length)
The length setting control both moving averages period, leading control the type of moving average used as leading MA, while lagging control the type of MA used as lagging moving average, in order to get low lag results the leading MA should be more reactive than the lagging MA. Coeff control the coefficients of the linear combination, with higher values of coeff amplifying the effects of the linear combination, negative values of coeff would make a low-lag moving average become a lagging moving average, coeff = 1 return the leading MA, coeff = -1 return the lagging MA. The leading period divisor allow to divide the period of the leading MA by the selected number.
The types of moving average available are: simple, exponentially weighted, triangular, least squares, hull and volume weighted. The lagging MA allow you to select another MA on the chart as input.
length = 100, leading period divisor = 2, coeff = 2, with both MA type = SMA. Using coeff = -2 instead would give:
You can select "Plot leading and lagging" in order to show the leading and lagging MA.
Conclusion
The proposed tool allow the user to create a custom moving averages by making use of linear combination. The script is not that useful when you think about it, and might maybe be one of my worst, as it is relatively impractical, not proud of it, but it still took time to make so i decided to post it anyway.
Moving Averages With Continuous Periods [macp]This script reimagines traditional moving averages by introducing floating-point period calculations, allowing for fractional lengths rather than being constrained to whole numbers. At its core, it provides SMA, WMA, and HMA variants that can work with any decimal length, which proves especially valuable when creating dynamic indicators or fine-tuning existing strategies.
The most significant improvement lies in the Hull Moving Average implementation. By properly handling floating-point mathematics throughout the calculation chain, this version reduces the overshoot tendencies that often plague integer-based HMAs. The result is a more responsive yet controlled indicator that better captures price action without excessive whipsaw.
The visual aspect incorporates a trend gradient system that can adapt to different trading styles. Rather than using fixed coloring, it offers several modes ranging from simple solid colors to more nuanced three-tone gradients that help identify trend transitions. These gradients are normalized against ATR to provide context-aware visual feedback about trend strength.
From a practical standpoint, the floating-point approach eliminates the subtle discontinuities that occur when integer-based moving averages switch periods. This makes the indicator particularly useful in systems where the MA period itself is calculated from market conditions, as it can smoothly transition between different lengths without artificial jumps.
At the heart of this implementation lies the concept of continuous weights rather than discrete summation. Traditional moving averages treat each period as a distinct unit with integer indexing. However, when we move to floating-point periods, we need to consider how fractional periods should behave. This leads us to some interesting mathematical considerations.
Consider the Weighted Moving Average kernel. The weight function is fundamentally a slope: -x + length where x represents the position in the averaging window. The normalization constant is calculated by integrating (in our discrete case, summing) this slope across the window. What makes this implementation special is how it handles the fractional component - when the length isn't a whole number, the final period gets weighted proportionally to its fractional part.
For the Hull Moving Average, the mathematics become particularly intriguing. The standard HMA formula HMA = WMA(2*WMA(price, n/2) - WMA(price, n), sqrt(n)) is preserved, but now each WMA calculation operates in continuous space. This creates a smoother cascade of weights that better preserves the original intent of the Hull design - to reduce lag while maintaining smoothness.
The Simple Moving Average's treatment of fractional periods is perhaps the most elegant. For a length like 9.7, it weights the first 9 periods fully and the 10th period at 0.7 of its value. This creates a natural transition between integer periods that traditional implementations miss entirely.
The Gradient Mathematics
The trend gradient system employs normalized angular calculations to determine color transitions. By taking the arctangent of price changes normalized by ATR, we create a bounded space between 0 and 1 that represents trend intensity. The formula (arctan(Δprice/ATR) + 90°)/180° maps trend angles to this normalized space, allowing for smooth color transitions that respect market volatility context.
This mathematical framework creates a more theoretically sound foundation for moving averages, one that better reflects the continuous nature of price movement in financial markets. The implementation recognizes that time in markets isn't truly discrete - our sampling might be, but the underlying process we're trying to measure is continuous. By allowing for fractional periods, we're creating a better approximation of this continuous reality.
This floating-point moving average implementation offers tangible benefits for traders and analysts who need precise control over their indicators. The ability to fine-tune periods and create smooth transitions makes it particularly valuable for automated systems where moving average lengths are dynamically calculated from market conditions. The Hull Moving Average calculation now accurately reflects its mathematical formula while maintaining responsiveness, making it a practical choice for both systematic and discretionary trading approaches. Whether you're building dynamic indicators, optimizing existing strategies, or simply want more precise control over your moving averages, this implementation provides the mathematical foundation to do so effectively.
Moving Averages For All TimeframesManage moving averages, for every timeframe, from within one indicator.
Features:
■ Intraday - Up to 3 moving averages
■ Daily - Up to 4 moving averages
■ Weekly - Up to 2 moving averages
■ Monthly - Up to 2 moving averages
■ Choose between simple, exponential or volume weighted moving averages (SMA, EMA or VWMA)
