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[quantitative notes] the meaning of relevant technical indicators of volatility
2022-07-19 07:31:00 【Alex Tech Bolg】
Catalog
Average True Range (ATR)
Reference resources :https://www.thebalance.com/how-average-true-range-atr-can-improve-trading-4154923
https://school.stockcharts.com/doku.php?id=technical_indicators:average_true_range_atr
A measure of volatility . We need to pay attention to :ATR No indication of price direction , Only provide volatility .
Calculation
Current ATR = [(Prior ATR x 13) + Current TR] / 14
- Multiply the previous 14-day ATR by 13.
- Add the most recent day's TR value.
- Divide the total by 14
operation
have access to ATR To stop losses and profits .
The rule of thumb is take ATR multiply 2 To determine a reasonable stop loss point . therefore , If you buy shares , You may be below the admission price ATR Set a stop loss at twice the level . If you short a stock , You will be twice as high as the admission price ATR Set stop loss at the level of .
Intraday traders can use one minute ATR To estimate the price at 5 Minutes or 10 How much can you move in minutes .
Bollinger Bands
Reference resources :https://www.investopedia.com/trading/using-bollinger-bands-to-gauge-trends/
Bollinger belt belongs to a mean regression strategy , It is suitable for interval fluctuation market .
Mean regression hypothesis : If the price deviates significantly from the mean or average , Will eventually return to the mean .
Calculation
* Middle Band = 20-day simple moving average (SMA)
* Upper Band = 20-day SMA + (20-day standard deviation of price x 2)
* Lower Band = 20-day SMA - (20-day standard deviation of price x 2)
operation
When the stock price continues to hit Bollinger Band At the upper limit , The price is considered overbought ; contrary , When they continue to hit the lower limit , The price is considered oversold , Trigger a buy signal .
You can also set multiple Bollinger Bands with different thresholds . For example, use +1 SD and +2 SD To define the upward trend , use -1 SD and -2 SD To define a downward trend .
Bollinger BandWidth
Bandwidth measures the percentage difference between the upper and lower bands . The bandwidth decreases as the Bollinger band narrows , As the Bollinger belt widens . Because brin band is based on standard deviation , The decreasing bandwidth reflects the decreasing volatility , The rising bandwidth reflects the increase in volatility .
( (Upper Band - Lower Band) / Middle Band) * 100
%B
higher than 0.80 The reading of indicates that the price is close to the upper limit . lower than 0.20 The reading of indicates that the price is close to the lower limit . The surge in the upward band shows strength , But sometimes it can be explained as overbought . Falling to a lower band indicates weakness , But sometimes it can be explained as oversold . Much depends on potential trends and other indicators . although %B Itself can have some value , But it is best to use it in combination with other indicators or price analysis .
%B = (Price - Lower Band)/(Upper Band - Lower Band)
Ulcer Index
Only focus on downside risks (downside risk). as a result of : The index is a mutual fund (mutual funds) Designed by , The only risk for mutual funds is that the only risk is to retreat or fall .
Calculation
Percent-Drawdown = ((Close - 14-period Max Close)/14-period Max Close) x 100
Squared Average = (14-period Sum of Percent-Drawdown Squared)/14
Ulcer Index = Square Root of Squared Average
operation
Ulcer Index Measure the depth and duration of price decline from early highs . The greater the decline in value , The longer it takes to recover to the early high , The higher the user interface . Technically speaking , It is the square root of the average of the square percentage of value decline . The penalty of square effect on large retracement is larger than that of small retracement .
Donchian Channels
Reference resources :https://www.investopedia.com/terms/d/donchianchannels.asp
Donchian Channels Determine the comparative relationship between the current price and the trading range within the scheduled period . The three values construct a visual map of price changes over time , Similar to brin belt , Indicates how bullish and bearish the selected period is .
Calculation


operation
The top line determines the degree of bullish energy , Highlights the period through the bull bear conflict (bull-bear conflict) The highest price achieved . The centerline identifies the median or mean regression price for the period , It highlights the intermediate position achieved through the bull bear conflict in this period . The bottom line determines the degree of bearish energy , Highlights the lowest price reached during the bull bear conflict .
Compared with brin belt
Bollinger belt adopts the standard deviation of price , Therefore, it is more balanced , It can reduce the influence of maximum or minimum .
Keltner Channels
Keltner Channels Is based on the envelope of volatility , Set above and below the index moving average . This indicator is similar to brin belt , The latter uses the standard deviation to set the band .Keltner Channels Do not use standard deviation , It is Use the average true range (ATR) To set the channel distance .
Keltner Channels It is a trend tracking indicator , It is used to identify channel breakthrough and reversal of channel direction . When the trend is flat , Channels can also be used to identify overbought and oversold levels .
Calculation
Middle Line: 20-day exponential moving average
Upper Channel Line: 20-day EMA + (2 x ATR(10))
Lower Channel Line: 20-day EMA - (2 x ATR(10))
operation
It mainly depends on the relationship between the actual price trend and the range , Pay attention to some breakthrough price trends .( In these breakthroughs, we can add some related features)
In a stable range , It can be used to determine overbought 、 Oversold level .
And Bollinger Bands comparison
Brin belt uses standard deviation , and Keltner Channels It uses ATR .ATR It is more stable than the standard deviation . therefore Keltner Channels Have a more constant width , It is very suitable for trend tracking and trend recognition .
Trend and Momentum The difference between
Reference resources :https://www.investopedia.com/ask/answers/121614/what-are-main-differences-between-momentum-and-trend.asp
Although they look similar at first , But there is a real difference between the concepts of momentum and trend . They are Two non competitive technologies (non-competing techniques), The purpose is to determine in rose (upswing) Buy when And in fall (downswing) Time to sell The opportunity of , So as to support or reject each other .
How momentum plays a role in technical analysis
Momentum is leading / Forward (forward-looking).
Momentum investment and trading rely on prices to respond to their supply and demand intensity ( At least in part ) Assumptions (assumption that prices respond (at least in part) to the strength of their supply and demand inputs).
Momentum takes many forms . It can be based on the earnings report of listed companies 、 The relationship between buyers and sellers in the market , Even the typical speed of historical price rise and fall . In a sense , Momentum trading may contradict the fundamentals of technical analysis .
Momentum has no intrinsic quantitative properties , Therefore, most momentum based trading instruments will use formulas to allocate value to varying degrees of momentum . Many of these oscillators These values will be further plotted within a bounded range , This allows cross period comparisons between past and current momentum trends . such , Momentum has become the most common in technical analysis Leading indicators (leading indicators).
How trends play a role in technical analysis
The trend is Lagging (backward-looking).
Trend tracking indicators are usually less subjective and ambitious (less subjective and ambitious than momentum indicators). If momentum is fundamental and accidental , Then the trend is the overall situation and coincidence close . Trends are not necessarily seen as causal , This may be the most basic difference between the two .
The most common form of trend analysis is the moving average index . The moving average is just a visual representation of mixing historical data together to find meaningful patterns . This is not to say that trends cannot be predicted —— But they are other indicators ( For example, momentum oscillator ) Laid the foundation (That is not to say that trends cannot be predictive – rather that they lay the groundwork for other indicators). They are typical Lag tool (lagging tools).
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