 # Stochastic Oscillator

The Stochastic Oscillator Technical Indicator compares where a security’s price closed relative to its price range over a given time period.

The Stochastic Oscillator is displayed as two lines. The main line is called %K. The second line, called %D, is a Moving Average of %K. The %K line is usually displayed as a solid line and the %D line is usually displayed as a dotted line.

There are several ways to interpret a Stochastic Oscillator. Three popular methods include:
• Buy when the Oscillator (either %K or %D) falls below a specific level (e.g., 20) and then rises above that level. Sell when the Oscillator rises above a specific level (e.g., 80) and then falls below that level;​
• Buy when the %K line rises above the %D line and sell when the %K line falls below the %D line;​
• Look for divergences. For instance: where prices are making a series of new highs and the Stochastic Oscillator is failing to surpass its previous highs.​
Calculation
The Stochastic Oscillator has three variables:
• %K periods (Pk). This is the number of time periods used in %K calculation. By default is 5;​
• %K Slowing Periods (Sk). This value controls the internal smoothing of %K. A value of 1 is considered a fast stochastic; a value of 3 is considered a slow stochastic. By default is 3;​
• %D periods (Pd). This is the number of time periods used when calculating a moving average of %K. By default is 3;​

The formula for %K is:

%K = 100*SUM (CLOSE - MIN (LOW, Pk), Sk) / SUM (MAX (HIGH, Pk) - MIN (LOW, Pk)), Sk)

Where:
• CLOSE — is today’s closing price;​
• MIN (LOW, Pk) — is the lowest low in Pk periods;​
• MAX (HIGH, Pk) — is the highest high in Pk periods;​
• SUM (CLOSE - MIN (LOW, Pk), Sk) — amount composed CLOSE - MIN (LOW, Pk) for period Sk;​
• SUM (MAX (HIGH, Pk) - MIN (LOW, Pk)), Sk) — amount composed HIGH (Pk)) - MIN (LOW, Pk) for period Sk.​

The %D moving average is calculated according to the formula:

%D = SMA (%K, Pd)

where:
• Pd — is the smoothing period for %K;​
• SMA — is the Simple Moving Average.​ Author
Salvador
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