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Hodrick-Prescott Extrapolation of Price [Loxx]Hodrick-Prescott Extrapolation of Price is a Hodrick-Prescott filter used to extrapolate price.
The distinctive feature of the Hodrick-Prescott filter is that it does not delay. It is calculated by minimizing the objective function.
F = Sum((y(i) - x(i))^2,i=0..n-1) + lambda*Sum((y(i+1)+y(i-1)-2*y(i))^2,i=1..n-2)
where x() - prices, y() - filter values.
If the Hodrick-Prescott filter sees the future, then what future values does it suggest? To answer this question, we should find the digital low-frequency filter with the frequency parameter similar to the Hodrick-Prescott filter's one but with the values calculated directly using the past values of the "twin filter" itself, i.e.
y(i) = Sum(a(k)*x(i-k),k=0..nx-1) - FIR filter
or
y(i) = Sum(a(k)*x(i-k),k=0..nx-1) + Sum(b(k)*y(i-k),k=1..ny) - IIR filter
It is better to select the "twin filter" having the frequency-independent delay Тdel (constant group delay). IIR filters are not suitable. For FIR filters, the condition for a frequency-independent delay is as follows:
a(i) = +/-a(nx-1-i), i = 0..nx-1
The simplest FIR filter with constant delay is Simple Moving Average (SMA):
y(i) = Sum(x(i-k),k=0..nx-1)/nx
In case nx is an odd number, Тdel = (nx-1)/2. If we shift the values of SMA filter to the past by the amount of bars equal to Тdel, SMA values coincide with the Hodrick-Prescott filter ones. The exact math cannot be achieved due to the significant differences in the frequency parameters of the two filters.
To achieve the closest match between the filter values, I recommend their channel widths to be similar (for example, -6dB). The Hodrick-Prescott filter's channel width of -6dB is calculated as follows:
wc = 2*arcsin(0.5/lambda^0.25).
The channel width of -6dB for the SMA filter is calculated by numerical computing via the following equation:
|H(w)| = sin(nx*wc/2)/sin(wc/2)/nx = 0.5
Prediction algorithms:
The indicator features the two prediction methods:
Metod 1:
1. Set SMA length to 3 and shift it to the past by 1 bar. With such a length, the shifted SMA does not exist only for the last bar (Bar = 0), since it needs the value of the next future price Close(-1).
2. Calculate SMA filer's channel width. Equal it to the Hodrick-Prescott filter's one. Find lambda.
3. Calculate Hodrick-Prescott filter value at the last bar HP(0) and assume that SMA(0) with unknown Close(-1) gives the same value.
4. Find Close(-1) = 3*HP(0) - Close(0) - Close(1)
5. Increase the length of SMA to 5. Repeat all calculations and find Close(-2) = 5*HP(0) - Close(-1) - Close(0) - Close(1) - Close(2). Continue till the specified amount of future FutBars prices is calculated.
Method 2:
1. Set SMA length equal to 2*FutBars+1 and shift SMA to the past by FutBars
2. Calculate SMA filer's channel width. Equal it to the Hodrick-Prescott filter's one. Find lambda.
3. Calculate Hodrick-Prescott filter values at the last FutBars and assume that SMA behaves similarly when new prices appear.
4. Find Close(-1) = (2*FutBars+1)*HP(FutBars-1) - Sum(Close(i),i=0..2*FutBars-1), Close(-2) = (2*FutBars+1)*HP(FutBars-2) - Sum(Close(i),i=-1..2*FutBars-2), etc.
The indicator features the following inputs:
Method - prediction method
Last Bar - number of the last bar to check predictions on the existing prices (LastBar >= 0)
Past Bars - amount of previous bars the Hodrick-Prescott filter is calculated for (the more, the better, or at least PastBars>2*FutBars)
Future Bars - amount of predicted future values
The second method is more accurate but often has large spikes of the first predicted price. For our purposes here, this price has been filtered from being displayed in the chart. This is why method two starts its prediction 2 bars later than method 1. The described prediction method can be improved by searching for the FIR filter with the frequency parameter closer to the Hodrick-Prescott filter. For example, you may try Hanning, Blackman, Kaiser, and other filters with constant delay instead of SMA.
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SMA VWAP BANDS [qrsq]Description
This indicator is used to find support and resistance utilizing both SMA and VWAP. It can be used on lower and higher time frames to understand where price is likely to reject or bounce.
How it works
Rather than using the usual calculation for the VWAP, instead this script smooths the volume first with the SMA and then respectively calculates the smoothed multiplication of high, low and close price with the volume individually. These values are then divided by the smoothed volume to find individual VWAP's for each of the sources. The standard deviations of these are calculated, resulting in an upper, lower and middle band. It is essentially VWAP bands with some smoothed calculations in the middle.
How to use it
I like to use the bands for LTF scalping as well as HTF swings.
For scalping:
I tend to use either the 5m or 15m TF
I then set the indicator's TF to 1m
I will take a scalp based on the bands confluence with other PA methods, if price is being either supported or rejected.
For swings:
I tend to use a variety of TFs, including: 30m, 1H, 4H, D
I then set the indicator's TF to "Chart"
I will take a swing based on the bands confluence with other PA methods, if price is being either supported or rejected.
I also tend to use them on perpetual contracts as the volume seems to be more consistent and hence results in more accurate support and resistance. Indicator

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SMA Multi Time Frame Table V1.5Since I couldn't find a script like this I made one so here is what it does.
The script will plot on the chart as well as post the related data into the table.
The default Simple Moving Avg are 5, 10, 20, 50, 120, 200 which can also be changed to whatever SMA you would like. The SMA values are then plotted on the charts so that quickly check to see where they are and how the candles are reacting to the SMAs.
Not only does the script plot the SMAs but it also places higher time frames into the table that is in the script, from current price, to daily, weekly, monthly, quarterly (3 months if you don't have it added) and yearly. The reason why was it price action of the stock does interact and can be rejected or find support from SMA on a higher time frames.
I still use this script so that you can quickly capture the values so that short-term, and long-term resistance and support can be determined during market hours.
Another good thing is that when you change the values in the script settings it also applies those settings to the table as well.
Now it will take a little bit for the table to show up, so please be patient. I have tested it with stocks, forex, and crypto.
I wanted to get this published and I am still working on the background to try and get EMAs. Where you can flip over to EMA to also see the EMA plots and table values for the MTF. Indicator

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Month/Month Percentage % Change, Historical; Seasonal TendencyTable of monthly % changes in Average Price over the last 10 years (or the 10 yrs prior to input year).
Useful for gauging seasonal tendencies of an asset; backtesting monthly volatility and bullish/bearish tendency.
~~User Inputs~~
Choose measure of average: sma(close), sma(ohlc4), vwap(close), vwma(close).
Show last 10yrs, with 10yr average % change, or to just show single year.
Chose input year; with the indicator auto calculating the prior 10 years.
Choose color for labels and size for labels; choose +Ve value color and -Ve value color.
Set 'Daily bars in month': 21 for Forex/Commodities/Indices; 30 for Crypto.
Set precision: decimal places
~~notes~~
-designed for use on Daily timeframe (pulsewire is buggy on monthly timeframe calculations, and less precise on weekly timeframe calculations).
-where Current month of year has not occurred yet, will print 9yr average.
-calculates the average change of displayed month compared to the previous month: i.e. Jan22 value represents whole of Jan22 compared to whole of Dec21.
-table displays on the chart over the input year; so for ES, with 2010 selected; shows values from 2001-2010, displaying across 2010-2011 on the chart.
-plots on seperate right hand side scale, so can be shrunk and dragged vertically.
-thanks to @gabx11 for the suggestion which inspired me to write this Indicator

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Joe's Ultimate MA Ribbon (w/ Crossover Triggers)Tired of having to add multiple moving average indicators to your chart? Well, stop doing that.
Here's a sweet moving average ribbon (with 1-10 moving average lines!) that will make your charts look much cooler 😎.
Not only that, it also includes triggers for MA crossovers. So, yeah...you can pick which MA crossovers trigger for longs and shorts separately. Yup, you read that right.
Options:
Show/Hide MA Lines: Only show the lines you wanna see. No more. No less.
MA Type (can be different for each line!): EMA, SMA, SMMA (RMA), WMA, VWMA
MA Source (for each line): open, close, high, low, hl2, hlc3, ohlc4, hlcc4
MA Length (for each line): any number between 1 and 4999
Line Colors: Ooh, pretty.
Triggers: On or Off
Crossover Long Triggers: When _______ crosses over _______ on timeframe _______
Crossover Short Triggers: When _______ crosses over _______ on timeframe _______
Trigger Characters and Location
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Infiten's Return Candle OscillatorInfiten's Return Candle Oscillator is an oscillator which shows the percentage return on the open, high, close and low over a customizable period in the form of candlesticks. It may be helpful for seeing volatility, swing trading, or mean reversion trading.
The RCO consists of two plotted elements :
RCO Candles (short length): candlesticks which are plotted with low = the product of the percentage changes in the low over a period, high = the product of the percentage changes in the high over a period, close = the product of the percent changes in close over a period, and open = the product of the percentage changes in return over a period. Similarly to with standard candlesticks, if the percentage change on the close is higher than the percentage change on the open, the candlestick is green, otherwise it is red.
Smoothed RCO Line (long length) : a moving average of the average of the low, close, open and high calculated for the RCO Candles. The line's transparency is determined by the percentage difference between the RCO and the highest or lowest RCO over the long length. A more transparent line means that the RCO is closer to the highest or lowest RCO, and may be indicative of a reversal, or weakening trend. Indicator

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