Williams %R Explained
Zero is the top of the range and minus 100 is the bottom. The scale reverses the intuition most people arrive with.
Williams %R measures where the current close sits within the high-to-low range of the last 14 periods, plotted from 0 at the top of the range to minus 100 at the bottom. Readings above minus 20 are conventionally called overbought and below minus 80 oversold. It is the stochastic %K calculation viewed from the top of the range instead of the bottom, so %R equals %K minus 100 on the same lookback.
What to remember
- %R equals stochastic %K minus 100. The two produce identical information, so running both is not confirmation.
- The scale is inverted. Zero is the top of the range, minus 100 the bottom, and minus 20 is a high reading.
- It is unsmoothed, so it jumps when an old high or low rolls out of the window even if the current bar barely moved.
- The exit from a zone carries more than the reading itself. Crossing back up through minus 80 says more than sitting at minus 90 for two days.
Lesson 16 of 22 in Trading indicators
Williams %R measures where the current close sits inside the high-to-low range of the last 14 periods, plotted on a scale from 0 at the top of the range to minus 100 at the bottom. If that sounds familiar, it should: it is the stochastic %K calculation, viewed from the other end.
It is stochastic %K, shifted by 100
Stochastic asks how far the close is above the lowest low. Williams %R asks how far the close is below the highest high. Those are two ways of describing the same position, so the two indicators produce the same information with a fixed offset between them.
Written out, %R is (highest high - close) / (highest high - lowest low) x -100. Take any bar and compute both: %K of 80 is %R of minus 20, %K of 35 is %R of minus 65. The relationship is exactly %R = %K - 100 on the same lookback. Knowing that saves you from a common mistake, which is running both and treating their agreement as confirmation.
Working one reading on EUR/USD
Over the last 14 hourly bars, the highest high is 1.0920 and the lowest low is 1.0800. The range is 120 pips. The current bar closes at 1.0896. This is deliberately the same bar the stochastic lesson works through, so the two readings can be compared directly.
The close is 24 pips below the high. Twenty-four divided by 120 is 0.20, and multiplied by minus 100 that is minus 20. Williams %R reads minus 20, which is the conventional overbought line.
Read it literally. The close finished 20 per cent of the way down from the top of the last 14 bars. That is a statement about position within a range, and nothing else. It says nothing about whether the range is part of a trend, nothing about whether 1.0920 is a significant level, and nothing about what happens next.
Minus 20 does not mean sell
The scale reverses the intuition a lot of people bring to it. Minus 20 is a high reading, near the top of the range, and is called overbought. Minus 80 is a low reading, near the bottom, and is called oversold. Zero is the extreme top and minus 100 the extreme bottom.
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Williams %R Explained: questions
What does a Williams %R of minus 20 mean?
Is Williams %R the same as stochastic?
How do you avoid false signals with Williams %R?
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