Mathematical formula of the Stochastic indicator and its description

Mathematical formula of the Stochastic indicator and its description

1 March 2023, 16:20
Andrey Kozak
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The Stochastic indicator is a popular technical analysis tool used in trading to help identify potential entry and exit points. It was developed by George Lane in the 1950s and is widely used by traders to this day. The Stochastic indicator is based on the idea that closing prices tend to be closer to the upper end of the price range during an uptrend and closer to the lower end of the price range during a downtrend.

The Stochastic indicator is essentially a momentum indicator that measures the level of the closing price relative to the high-low range over a specific period. The indicator is plotted on a scale of 0 to 100, with readings above 80 indicating an overbought condition and readings below 20 indicating an oversold condition.

The formula for the Stochastic indicator is as follows:

%K = (Current Close - Lowest Low) / (Highest High - Lowest Low) * 100

%D = 3-day SMA of %K

Where:

  • Current Close is the closing price for the current period.
  • Lowest Low is the lowest low for the look-back period.
  • Highest High is the highest high for the look-back period.
  • %K is the current value of the Stochastic indicator.
  • %D is the 3-day simple moving average of %K.

The look-back period is typically set to 14 periods, but it can be adjusted based on the trader's preferences.

The %K line is the main line of the Stochastic indicator, and it represents the level of the closing price relative to the high-low range over the look-back period. The %D line is a 3-day simple moving average of %K, and it is used to smooth out the %K line.

Traders use the Stochastic indicator in several ways. One common use is to look for divergences between the Stochastic indicator and the price action. A bullish divergence occurs when the price makes a lower low, but the Stochastic indicator makes a higher low. This is a sign that the momentum is shifting to the upside, and a bullish reversal may be imminent. A bearish divergence occurs when the price makes a higher high, but the Stochastic indicator makes a lower high. This is a sign that the momentum is shifting to the downside, and a bearish reversal may be imminent.

Another use of the Stochastic indicator is to look for overbought and oversold conditions. When the Stochastic indicator readings are above 80, it is considered overbought, and a sell signal may be imminent. Conversely, when the Stochastic indicator readings are below 20, it is considered oversold, and a buy signal may be imminent.

The Stochastic indicator can also be used in conjunction with other technical analysis tools, such as trend lines and support and resistance levels, to identify potential trading opportunities.

In conclusion, the Stochastic indicator is a widely used technical analysis tool in trading that measures the level of the closing price relative to the high-low range over a specific period. The formula for the Stochastic indicator is relatively simple, and it is plotted on a scale of 0 to 100. Traders use the Stochastic indicator to identify potential entry and exit points, look for divergences between the Stochastic indicator and the price action, and identify overbought and oversold conditions. While the Stochastic indicator is not a perfect tool, it can be a valuable addition to a trader's toolkit when used in conjunction with other technical analysis tools and proper risk management strategies.


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