Field Guide to Trading Terms

Williams percent range


Family VI · Charts & indicators

Not to be confused with average true range, average daily range.

Williams %R is a bounded momentum oscillator introduced by Larry Williams that compares the latest close with the highest high of a chosen lookback window. It is plotted on a scale from 0 to -100, where values near 0 indicate the close is near the top of the range and values near -100 indicate it is near the bottom. The indicator is typically used to assess overbought and oversold conditions within that window.

Calculation

Williams %R is calculated as:

%R = (Highest High − Close) / (Highest High − Lowest Low) × −100

The highest high and lowest low are taken over the same lookback period, commonly 14 bars, though shorter or longer periods are used depending on the trader's timeframe. The result is always negative, with 0 representing a close at the period high and -100 a close at the period low.

Worked example

14-period Williams %R
Highest high (14 bars)120—
Lowest low (14 bars)100—
Latest close115—
Range120 − 10020
Distance from high120 − 1155
Williams %R(5 / 20) × −100−25

Interpretation

Readings above −20 are often considered overbought, while readings below −80 are considered oversold. These thresholds are conventions, not fixed rules, and may vary by market or analytical style. Because the indicator is bounded, it can remain in overbought or oversold territory for extended periods during strong trends, so it is frequently combined with trend or price-action analysis.

Often confused with

average true range
Average True Range measures the average size of price movement over a period and is unbounded, whereas Williams %R measures the close's position within the period's high-low range and is bounded between 0 and -100; the visible sign is that ATR values are positive and can exceed 100, while Williams %R is always negative and never below -100.
average daily range
The average daily range is the mean difference between the high and low prices of an instrument over a specified number of trading days, expressed in price units or as a percentage, and used to gauge typical intraday volatility.

See also