Combo Backtest 123 Reversal & STARC BandsThis is combo strategies for get a cumulative signal.
First strategy
This System was created from the Book "How I Tripled My Money In The
Futures Market" by Ulf Jensen, Page 183. This is reverse type of strategies.
The strategy buys at market, if close price is higher than the previous close
during 2 days and the meaning of 9-days Stochastic Slow Oscillator is lower than 50.
The strategy sells at market, if close price is lower than the previous close price
during 2 days and the meaning of 9-days Stochastic Fast Oscillator is higher than 50.
Second strategy
A type of technical indicator that is created by plotting two bands around
a short-term simple moving average (SMA) of an underlying asset's price.
The upper band is created by adding a value of the average true range
(ATR) - a popular indicator used by technical traders - to the moving average.
The lower band is created by subtracting a value of the ATR from the SMA.
STARC is an acronym for Stoller Average Range Channels. The indicator is
named after its creator, Manning Stoller.
WARNING:
- For purpose educate only
- This script to change bars colors.
Reversal
Combo Backtest 123 Reversal & Smoothed Williams ADThis is combo strategies for get a cumulative signal.
First strategy
This System was created from the Book "How I Tripled My Money In The
Futures Market" by Ulf Jensen, Page 183. This is reverse type of strategies.
The strategy buys at market, if close price is higher than the previous close
during 2 days and the meaning of 9-days Stochastic Slow Oscillator is lower than 50.
The strategy sells at market, if close price is lower than the previous close price
during 2 days and the meaning of 9-days Stochastic Fast Oscillator is higher than 50.
Second strategy
Accumulation is a term used to describe a market controlled by buyers;
whereas distribution is defined by a market controlled by sellers.
Williams recommends trading this indicator based on divergences:
Distribution of the security is indicated when the security is making
a new high and the A/D indicator is failing to make a new high. Sell.
Accumulation of the security is indicated when the security is making
a new low and the A/D indicator is failing to make a new low. Buy.
WARNING:
- For purpose educate only
- This script to change bars colors.
Combo Backtest 123 Reversal & Smoothed RSIThis is combo strategies for get a cumulative signal.
First strategy
This System was created from the Book "How I Tripled My Money In The
Futures Market" by Ulf Jensen, Page 183. This is reverse type of strategies.
The strategy buys at market, if close price is higher than the previous close
during 2 days and the meaning of 9-days Stochastic Slow Oscillator is lower than 50.
The strategy sells at market, if close price is lower than the previous close price
during 2 days and the meaning of 9-days Stochastic Fast Oscillator is higher than 50.
Second strategy
This is new version of RSI oscillator indicator, developed by John Ehlers.
The main advantage of his way of enhancing the RSI indicator is smoothing
with minimum of lag penalty.
WARNING:
- For purpose educate only
- This script to change bars colors.
Combo Backtest 123 Reversal & SMI Ergodic Oscillator This is combo strategies for get a cumulative signal.
First strategy
This System was created from the Book "How I Tripled My Money In The
Futures Market" by Ulf Jensen, Page 183. This is reverse type of strategies.
The strategy buys at market, if close price is higher than the previous close
during 2 days and the meaning of 9-days Stochastic Slow Oscillator is lower than 50.
The strategy sells at market, if close price is lower than the previous close price
during 2 days and the meaning of 9-days Stochastic Fast Oscillator is higher than 50.
Second strategy
The SMI Ergodic Indicator is the same as the True Strength Index (TSI) developed by
William Blau, except the SMI includes a signal line. The SMI uses double moving averages
of price minus previous price over 2 time frames. The signal line, which is an EMA of the
SMI, is plotted to help trigger trading signals. Adjustable guides are also given to fine
tune these signals. The user may change the input (close), method (EMA), period lengths
and guide values.
WARNING:
- For purpose educate only
- This script to change bars colors.
Combo Backtest 123 Reversal & Smart Money Index (SMI) This is combo strategies for get a cumulative signal.
First strategy
This System was created from the Book "How I Tripled My Money In The
Futures Market" by Ulf Jensen, Page 183. This is reverse type of strategies.
The strategy buys at market, if close price is higher than the previous close
during 2 days and the meaning of 9-days Stochastic Slow Oscillator is lower than 50.
The strategy sells at market, if close price is lower than the previous close price
during 2 days and the meaning of 9-days Stochastic Fast Oscillator is higher than 50.
Second strategy
Smart money index (SMI) or smart money flow index is a technical analysis indicator demonstrating investors sentiment.
The index was invented and popularized by money manager Don Hays. The indicator is based on intra-day price patterns.
The main idea is that the majority of traders (emotional, news-driven) overreact at the beginning of the trading day
because of the overnight news and economic data. There is also a lot of buying on market orders and short covering at the opening.
Smart, experienced investors start trading closer to the end of the day having the opportunity to evaluate market performance.
Therefore, the basic strategy is to bet against the morning price trend and bet with the evening price trend. The SMI may be calculated
for many markets and market indices (S&P 500, DJIA, etc.)
The SMI sends no clear signal whether the market is bullish or bearish. There are also no fixed absolute or relative readings signaling
about the trend. Traders need to look at the SMI dynamics relative to that of the market. If, for example, SMI rises sharply when the
market falls, this fact would mean that smart money is buying, and the market is to revert to an uptrend soon. The opposite situation
is also true. A rapidly falling SMI during a bullish market means that smart money is selling and that market is to revert to a downtrend
soon. The SMI is, therefore, a trend-based indicator.
Some analysts use the smart money index to claim that precious metals such as gold will continually maintain value in the future.
WARNING:
- For purpose educate only
- This script to change bars colors.
Combo Backtest 123 Reversal & Stochastic This is combo strategies for get a cumulative signal.
First strategy
This System was created from the Book "How I Tripled My Money In The
Futures Market" by Ulf Jensen, Page 183. This is reverse type of strategies.
The strategy buys at market, if close price is higher than the previous close
during 2 days and the meaning of 9-days Stochastic Slow Oscillator is lower than 50.
The strategy sells at market, if close price is lower than the previous close price
during 2 days and the meaning of 9-days Stochastic Fast Oscillator is higher than 50.
Second strategy
This back testing strategy generates a long trade at the Open of the following
bar when the %K line crosses up UpBand line.
It generates a short trade at the Open of the following bar when the %K line
crosses down DownBand line.
WARNING:
- For purpose educate only
- This script to change bars colors.
Ultimate Momentum Indicator [CC]This is a custom indicator of mine loosely based on the work by Steve J Godwin & Louisa C Schneider (Stocks and Commodities Feb 2021 pg 22) and this works pretty well at anticipating future price swings as the momentum falls. The idea I was going for was to introduce the idea of reversals in combination with a momentum indicator so you can better identify peaks and valleys. I have included strong buy and signals in addition to normal ones so darker colors are the strong buy and sell signals and lighter colors are the normal ones. I would recommend to buy when the line turns green and sell when it turns red.
Let me know if there are any other indicators you would like me to publish!
Center Of Gravity OscillatorThe COG Oscillator (center of gravity) is an indicator based on statistics and the Fibonacci golden ratio. It uses ALMA as a trigger and LSMA as "zero line". The trigger is set tight by default but can be tweaked by adjusting the window size and sigma in settings. This is a great indicator for setting up trades and spotting reversals. There are 2 main strategies that come with this indicator:
Strategy 1: Long positions are entered when current low point is higher than previous low. Short positions are entered as current high is lower than previous high. (Shown in image above)
Strategy 2 : If market is bullish long trades are entered as COG line crosses over red LSMA line. Traders have the option of scalping the first crossover or even scaling out of trade to close on second exit. This works the opposite for shorts when market is bearish.
Above shows different configurations of the indicator. Top shows length of 50, Middle has length of 21 and bottom is default 9.
Combo Backtest 123 Reversal & RSI HistoAlert This is combo strategies for get a cumulative signal.
First strategy
This System was created from the Book "How I Tripled My Money In The
Futures Market" by Ulf Jensen, Page 183. This is reverse type of strategies.
The strategy buys at market, if close price is higher than the previous close
during 2 days and the meaning of 9-days Stochastic Slow Oscillator is lower than 50.
The strategy sells at market, if close price is lower than the previous close price
during 2 days and the meaning of 9-days Stochastic Fast Oscillator is higher than 50.
Second strategy
This simple indicator modified RSI
WARNING:
- For purpose educate only
- This script to change bars colors.
Folded Relative Strength Index [CC]The Folded Relative Strength Index was created by Richard Poster (Stocks and Commodities July 2021 pg 21) and this indicator provides both trend strength but also momentum and of course reversal points using the overbought and oversold markers. If the indicator line is above the mid line then this shows upward momentum and when it falls below the midline then this means it is losing momentum. When the indicator rises above the signal line then this shows upward trend strength and vice versa. Buy when the indicator line turns green and sell when it turns red.
Let me know if there are any other indicators you would like to see me publish!
Volatility OscillatorThis tool displays relative volatility and directional trend. Excellent way to pickup diversions and reversals. Length can be lowered to 11 or 13 in settings to show price range.
Can be used to identify patterns such as parallel channels and likely direction of price action as pictured below.
Combo Backtest 123 Reversal & RSI based on ROC This is combo strategies for get a cumulative signal.
First strategy
This System was created from the Book "How I Tripled My Money In The
Futures Market" by Ulf Jensen, Page 183. This is reverse type of strategies.
The strategy buys at market, if close price is higher than the previous close
during 2 days and the meaning of 9-days Stochastic Slow Oscillator is lower than 50.
The strategy sells at market, if close price is lower than the previous close price
during 2 days and the meaning of 9-days Stochastic Fast Oscillator is higher than 50.
Second strategy
This is the new-age indicator which is version of RSI calculated upon
the Rate-of-change indicator.
The name "Relative Strength Index" is slightly misleading as the RSI
does not compare the relative strength of two securities, but rather
the internal strength of a single security. A more appropriate name
might be "Internal Strength Index." Relative strength charts that compare
two market indices, which are often referred to as Comparative Relative Strength.
And in its turn, the Rate-of-Change ("ROC") indicator displays the difference
between the current price and the price x-time periods ago. The difference can
be displayed in either points or as a percentage. The Momentum indicator displays
the same information, but expresses it as a ratio.
WARNING:
- For purpose educate only
- This script to change bars colors.
Combo Backtest 123 Reversal & Reverse Engineering RSI This is combo strategies for get a cumulative signal.
First strategy
This System was created from the Book "How I Tripled My Money In The
Futures Market" by Ulf Jensen, Page 183. This is reverse type of strategies.
The strategy buys at market, if close price is higher than the previous close
during 2 days and the meaning of 9-days Stochastic Slow Oscillator is lower than 50.
The strategy sells at market, if close price is lower than the previous close price
during 2 days and the meaning of 9-days Stochastic Fast Oscillator is higher than 50.
Second strategy
Reverse Engineering RSI, by Giorgos Siligardos
The related article is copyrighted material from
Stocks & Commodities.
WARNING:
- For purpose educate only
- This script to change bars colors.
Combo Backtest 123 Reversal & Relative Volatility Index This is combo strategies for get a cumulative signal.
First strategy
This System was created from the Book "How I Tripled My Money In The
Futures Market" by Ulf Jensen, Page 183. This is reverse type of strategies.
The strategy buys at market, if close price is higher than the previous close
during 2 days and the meaning of 9-days Stochastic Slow Oscillator is lower than 50.
The strategy sells at market, if close price is lower than the previous close price
during 2 days and the meaning of 9-days Stochastic Fast Oscillator is higher than 50.
Second strategy
The RVI is a modified form of the relative strength index (RSI).
The original RSI calculation separates one-day net changes into
positive closes and negative closes, then smoothes the data and
normalizes the ratio on a scale of zero to 100 as the basis for the
formula. The RVI uses the same basic formula but substitutes the
10-day standard deviation of the closing prices for either the up
close or the down close. The goal is to create an indicator that
measures the general direction of volatility. The volatility is
being measured by the 10-days standard deviation of the closing prices.
WARNING:
- For purpose educate only
- This script to change bars colors.
Combo Backtest 123 Reversal & Relative Momentum Index This is combo strategies for get a cumulative signal.
First strategy
This System was created from the Book "How I Tripled My Money In The
Futures Market" by Ulf Jensen, Page 183. This is reverse type of strategies.
The strategy buys at market, if close price is higher than the previous close
during 2 days and the meaning of 9-days Stochastic Slow Oscillator is lower than 50.
The strategy sells at market, if close price is lower than the previous close price
during 2 days and the meaning of 9-days Stochastic Fast Oscillator is higher than 50.
Second strategy
The Relative Momentum Index (RMI) was developed by Roger Altman. Impressed
with the Relative Strength Index's sensitivity to the number of look-back
periods, yet frustrated with it's inconsistent oscillation between defined
overbought and oversold levels, Mr. Altman added a momentum component to the RSI.
As mentioned, the RMI is a variation of the RSI indicator. Instead of counting
up and down days from close to close as the RSI does, the RMI counts up and down
days from the close relative to the close x-days ago where x is not necessarily
1 as required by the RSI). So as the name of the indicator reflects, "momentum" is
substituted for "strength".
WARNING:
- For purpose educate only
- This script to change bars colors.
Combo Backtest 123 Reversal & Recursive Moving Trend Average This is combo strategies for get a cumulative signal.
First strategy
This System was created from the Book "How I Tripled My Money In The
Futures Market" by Ulf Jensen, Page 183. This is reverse type of strategies.
The strategy buys at market, if close price is higher than the previous close
during 2 days and the meaning of 9-days Stochastic Slow Oscillator is lower than 50.
The strategy sells at market, if close price is lower than the previous close price
during 2 days and the meaning of 9-days Stochastic Fast Oscillator is higher than 50.
Second strategy
Taken from an article "The Yen Recused" in the December 1998 issue of TASC,
written by Dennis Meyers. He describes the Recursive MA in mathematical terms
as "recursive polynomial fit, a technique that uses a small number of past values
of the estimated price and today's price to predict tomorrows price."
Red bars color - short position. Green is long.
WARNING:
- For purpose educate only
- This script to change bars colors.
Combo Backtest 123 Reversal & RAVI This is combo strategies for get a cumulative signal.
First strategy
This System was created from the Book "How I Tripled My Money In The
Futures Market" by Ulf Jensen, Page 183. This is reverse type of strategies.
The strategy buys at market, if close price is higher than the previous close
during 2 days and the meaning of 9-days Stochastic Slow Oscillator is lower than 50.
The strategy sells at market, if close price is lower than the previous close price
during 2 days and the meaning of 9-days Stochastic Fast Oscillator is higher than 50.
Second strategy
The indicator represents the relative convergence/divergence of the moving
averages of the financial asset, increased a hundred times. It is based on
a different principle than the ADX. Chande suggests a 13-week SMA as the
basis for the indicator. It represents the quarterly (3 months = 65 working days)
sentiments of the market participants concerning prices. The short moving average
comprises 10% of the one and is rounded to seven.
WARNING:
- For purpose educate only
- This script to change bars colors.
Combo Backtest 123 Reversal & Rainbow Oscillator This is combo strategies for get a cumulative signal.
First strategy
This System was created from the Book "How I Tripled My Money In The
Futures Market" by Ulf Jensen, Page 183. This is reverse type of strategies.
The strategy buys at market, if close price is higher than the previous close
during 2 days and the meaning of 9-days Stochastic Slow Oscillator is lower than 50.
The strategy sells at market, if close price is lower than the previous close price
during 2 days and the meaning of 9-days Stochastic Fast Oscillator is higher than 50.
Second strategy
Ever since the people concluded that stock market price movements are not
random or chaotic, but follow specific trends that can be forecasted, they
tried to develop different tools or procedures that could help them identify
those trends. And one of those financial indicators is the Rainbow Oscillator
Indicator. The Rainbow Oscillator Indicator is relatively new, originally
introduced in 1997, and it is used to forecast the changes of trend direction.
As market prices go up and down, the oscillator appears as a direction of the
trend, but also as the safety of the market and the depth of that trend. As
the rainbow grows in width, the current trend gives signs of continuity, and
if the value of the oscillator goes beyond 80, the market becomes more and more
unstable, being prone to a sudden reversal. When prices move towards the rainbow
and the oscillator becomes more and more flat, the market tends to remain more
stable and the bandwidth decreases. Still, if the oscillator value goes below 20,
the market is again, prone to sudden reversals. The safest bandwidth value where
the market is stable is between 20 and 80, in the Rainbow Oscillator indicator value.
The depth a certain price has on a chart and into the rainbow can be used to judge
the strength of the move.
WARNING:
- For purpose educate only
- This script to change bars colors.
Combo Backtest 123 Reversal & Qstick Indicator This is combo strategies for get a cumulative signal.
First strategy
This System was created from the Book "How I Tripled My Money In The
Futures Market" by Ulf Jensen, Page 183. This is reverse type of strategies.
The strategy buys at market, if close price is higher than the previous close
during 2 days and the meaning of 9-days Stochastic Slow Oscillator is lower than 50.
The strategy sells at market, if close price is lower than the previous close price
during 2 days and the meaning of 9-days Stochastic Fast Oscillator is higher than 50.
Second strategy
A technical indicator developed by Tushar Chande to numerically identify
trends in candlestick charting. It is calculated by taking an 'n' period
moving average of the difference between the open and closing prices. A
Qstick value greater than zero means that the majority of the last 'n' days
have been up, indicating that buying pressure has been increasing.
Transaction signals come from when the Qstick indicator crosses through the
zero line. Crossing above zero is used as the entry signal because it is indicating
that buying pressure is increasing, while sell signals come from the indicator
crossing down through zero. In addition, an 'n' period moving average of the Qstick
values can be drawn to act as a signal line. Transaction signals are then generated
when the Qstick value crosses through the trigger line.
WARNING:
- For purpose educate only
- This script to change bars colors.
[GJ]IFRSITHE INVERSE FISHER TRANSFORM STOCH RSI
HOW IT WORKS
This indicator uses the inverse fisher transform on the stoch RSI for clear buying and selling signals. The stoch rsi is used to limit it in the range of 0 and 100. We subtract 50 from this to get it into the range of -50 to +50 and multiply by .1 to get it in the range of -5 to +5. We then use the 9 period weighted MA to remove some "random" trade signals before we finally use the inverse fisher transform to get the output between -1 and +1
HOW TO USE
Buy when the indicator crosses over –0.5 or crosses over +0.5 if it has not previously crossed over –0.5.
Sell when the indicator crosses under +0.5 or crosses under –0.5 if it has not previously crossed under +0.5.
We can see multiple examples of good buy and sell signals from this indicator on the attached chart for QCOM. Let me know if you have any suggestions or thoughts!
Simple Macd Momentum Reversal IndicatorThis Simple indicator uses the MACD history to check trend reversals. It primarily check if the histogram has moved up from a downtrend above a certain margin. If it has, it places a green B on the chart. If you were to use/improve this indicator, please use it with other indicators to confirm your position. This is NOT an indicator that can be well used alone.
Raff Regression Channel by DGTRᴀꜰꜰ Rᴇɢʀᴇꜱꜱɪᴏɴ Cʜᴀɴɴᴇʟ (RRC)
This study aims to automate Raff Regression Channel drawing either based on ZigZag Indicator or optionally User Preference
The Raff Regression Channel , developed by Gilbert Raff, is based on a linear regression, which is the least-squares line-of-best-fit for a price series, with evenly spaced trend lines above and below . The width of the channel is set by determining the high or low that is the furthest from the linear regression.
Because the channel distance is based off the largest pullback or highest peak within a trend, for effectively drawing and using a Raff Regression Channel it is recommend/required that a Raff Regression Channel is applied to “mature” trends. Knowing this requirement, for better automated drawing results this study benefits from the Zig Zag Indicator, where the Zig Zag indicator is used to help identify price trends and changes in price trends. Option to manually adjust lengths for drawing a Raff Regression Channel is also made available.
Using a Raff Regression Channel
Once The Raff Regression Channel is drawn, covering an existing trend, Exᴛᴇɴꜱɪᴏɴ Lɪɴᴇꜱ are drawn to identify ᴛʜᴇ ꜱᴜᴘᴘᴏʀᴛ﹐ʀᴇꜱɪꜱᴛᴀɴᴄᴇ ᴏʀ ʀᴇᴠᴇʀꜱᴀʟ ᴘᴏɪɴᴛꜱ
The trend is up as long as prices rise within this channel. An uptrend may be reversing (not always, but likely) when price breaks below the channel extension . The trend is down as long as prices decline within the channel. Similarly, a downtrend may be reversing (not always, but likely) when price breaks above the channel extension . Moves outside the channel extensions can be indication of a reversal or can denote overbought or oversold conditions
For further details please refer to education post Raff Regression Channel
█ FEATURES
- AUTO or MANUALLY adjusted Raff Regression Channel and Channel Extentions drawing
- ALERTs, for Linear Regression Line, Raff Regression Upper and Lower Channel Extentions
- LSMA , Least Squares Moving Average, in other words Linear Regression Curve
█ SETTINGS
Setting Loopback and Number of Bars are the most important part for The Raff Regression Channel, where ;
- Lookback, defines where the Raff Regression Channel is starting, it is recommended to set to a trend begining
- Number of Bars, defines how many bars to be assumed for calculation, or simply stated the end of the Raff Regression Channel drawing (not extentions but the main channel, extentions by default will be drawn till the last bar)
Setting of Loopback and Number of Bars is performed eigher automatically based on Zig Zag indicator or users may prefer to set them manually. If selected automatically then
- Deviation and Depth values of Zig Zag indicator are used for calculations (enabling visually plotting of ZigZag Lines will help to identify better visually the points), where ;
Deviation, is a multiplier that affects how much the price should deviate from the previous pivot in order for the bar to become a new pivot.
Depth, affects the minimum number of bars that will be taken into account when building
Short-term traders may wish to apply the channel to small waves of a trend so they can reduce the value of the Deviation and Depth
█ OTHER CHANNEL CONSEPTS
Linear Regression Channels, , what linear regression channels are? and linear regression channel/curve/slope study
Fibonacci Channels, how to apply fibonacci channels and automated fibonacci channels study
Andrews’ Pitchfork, how to apply pitchfork and automated pitchfork study
Special Thanks to @Kiss66000 for his kind suggestion, je vous remercie beaucoup @Kiss66000
Disclaimer :
Trading success is all about following your trading strategy and the indicators should fit within your trading strategy, and not to be traded upon solely
The script is for informational and educational purposes only. Use of the script does not constitute professional and/or financial advice. You alone have the sole responsibility of evaluating the script output and risks associated with the use of the script. In exchange for using the script, you agree not to hold dgtrd TradingView user liable for any possible claim for damages arising from any decision you make based on use of the script
Adjustable MA & Alternating Extremities [LuxAlgo]Returns a moving average allowing the user to control the amount of lag as well as the amplitude of its overshoots thanks to a parametric kernel. The indicator displays alternating extremities and aims to provide potential points where price might reverse.
Due to user requests, we added the option to display the moving average as candles instead of a solid line.
Settings
Length: MA period, refers to the number of most recent data points to use for its calculation.
Mult: Multiplicative factor for each extremity.
As Smoothed Candles: Allows the user to show the MA as a series of candles instead of a solid line.
Show Alternating Extremities : Determines whether to display the alternating extremities or not.
Lag: Controls the amount of lag of the MA, with higher values returning a MA with more lag.
Overshoot: Controls the amplitude of the overshoots returned by the MA, with higher values increasing the amplitude of the overshoots.
Usage
Moving averages using parametric kernels allows users to have more control over characteristics such as lag or smoothness; this can greatly benefit the analyst. A moving average with reduced lag can be used as a leading moving average in a MA crossover system, while lag will benefit moving averages used as slow MA in a crossover system.
Increasing 'Lag' will increase smoothness while increasing 'overshoot' will reduce lag.
The following indicator puts more emphasis on its alternating extremities, an upper extremity will be shown once the high price crosses the upper extremity, while a low extremity will be shown once the low price crosses the lower extremity. These can be interpreted like extremities of a band indicator.
The MA using a length value of 200 with a multiplicative factor of 1.
In general, extremities will effectively return points where price might potentially bounce in ranging markets while closing prices under trending markets will often be found above an upper extremity and under a lower extremity.
Reducing the lag of the moving average allows the user to obtain a more timely estimate of the underlying trend in the price, with a better fit overall. This allows the user to obtain potentially pertinent extremities where price might reverse upon a break, even under trending markets.
In the above chart, the price initially breaks the upper extremity, however, we can observe that the upper extremity eventually reaches back the price, goes above it, provides a resistance, and effectively indicates a reversal.
Users can plot candles from the moving average, these are fairly similar to heikin-ashi candles in the sense that CandleOpen(t) ≠ CandleClose(t-1) , each point of the candle is calculated as follows for our indicator:
Open = Average between MA(t-1) and MA(t-2)
High = MA using the high price as input
Low = MA using the low price as input
Close = MA using the closing price as input
Details
Lag is defined as the effect of moving averages to reflect past price variations instead of new ones, lag can be observed by the user and is the main cause of false signals. Lag is proportional to the degree of filtering returned by the moving average.
Overshooting is a common effect encountered in non-lagging moving averages, and is defined as the tendency of a moving average to exceed a maximum level (or minimum level, which can be defined as undershooting )
MA and rolling maximum/minimum, both using a length of 50 bars. While we can think of lag as a cost of smoothness, we can think of overshooting as a cost for reduced lag on some occasions.
Explaining the kernel design behind our moving average requires understanding of the logic behind lag reduction in moving averages. This can prove to be complex for non informed users, but let's just focus on the simpler part; moving averages can be defined as a weighted sum between past prices and a set of coefficients (kernel).
MA(t) = b(0)C(t) + b(1)C(t-1) + b(2)C(t-2) + ... + b(n-1)C(t-n-1)
Where n is the period of the moving average. Lag is (non optimally) reduced by "underweighting" past prices - that is multiplying them by negative numbers.
The kernel used in our moving average is based on a modified sinewave. A weighted sum making use of a sinewave as a kernel would return an oscillator centered at 0. We can divide this sinewave by an increasing linear function in order to obtain a kernel allowing us to obtain a low lag moving average instead of a centered oscillator. This is the main idea in the design of the kernel used by our moving average.
The kernel equation of our moving average is:
sin(2πx^α)(1 - x^β)
With 1>x>0 , and where α controls the lag, while β controls the overshoot amplitude.
Using this equation we can obtain the following kernels:
Here only α is changed, while β is equal to 1. Values to the left would represent the coefficients for the most recent prices. Notice how the most significant coefficients are given to the oldest prices in the case where α increases.
Higher overshoot would require more negative values, this is controlled by β
Here only β is changed, while α is equal to 1. Notice how higher values return lower negative coefficients. This effectively increases the overshoots amplitude in our moving average. We can decrease α in order for these negative coefficients to underweight more recent values.
Using α = 0 allows us to simplify the kernel equation to:
1 - x^β
Using this kernel we can obtain more classical moving averages, this can be seen from the following results:
Using β = 1 allows us to obtain a linearly decreasing kernel (the one of a WMA), while increasing allows the kernel to converge toward a rectangular kernel (the one of SMA).
