Williams %R Calculator

Calculate Williams %R from rolling highs, lows and the latest close.

Your inputs

The starting values are an illustrative example. Calculations run locally; your inputs are not sent to a data provider.

Period (2–500)

OHLC rows — open, high, low, close

100, 102.00, 98.00, 100
102.08, 104.08, 100.08, 102.08
102.62, 104.62, 100.62, 102.62
101.48, 103.48, 99.48, 101.48
100.09, 102.09, 98.09, 100.09
100.08, 102.08, 98.08, 100.08
101.84, 103.84, 99.84, 101.84
104.11, 106.11, 102.11, 104.11
105.18, 107.18, 103.18, 105.18
104.42, 106.42, 102.42, 104.42
102.91, 104.91, 100.91, 102.91
102.4, 104.40, 100.40, 102.4
103.73, 105.73, 101.73, 103.73
106.04, 108.04, 104.04, 106.04
107.58, 109.58, 105.58, 107.58
107.3, 109.30, 105.30, 107.3
105.82, 107.82, 103.82, 105.82
104.88, 106.88, 102.88, 104.88
105.7, 107.70, 103.70, 105.7
107.9, 109.90, 105.90, 107.9
109.83, 111.83, 107.83, 109.83
110.07, 112.07, 108.07, 110.07
108.78, 110.78, 106.78, 108.78
107.51, 109.51, 105.51, 107.51
107.79, 109.79, 105.79, 107.79
109.74, 111.74, 107.74, 109.74
111.93, 113.93, 109.93, 111.93
112.71, 114.71, 110.71, 112.71
111.74, 113.74, 109.74, 111.74
110.27, 112.27, 108.27, 110.27
110.02, 112.02, 108.02, 110.02
111.59, 113.59, 109.59, 111.59
113.9, 115.90, 111.90, 113.9
115.2, 117.20, 113.20, 115.2
114.66, 116.66, 112.66, 114.66
113.14, 115.14, 111.14, 113.14
112.42, 114.42, 110.42, 112.42
113.51, 115.51, 111.51, 113.51
115.79, 117.79, 113.79, 115.79
117.53, 119.53, 115.53, 117.53
117.49, 119.49, 115.49, 117.49
116.08, 118.08, 114.08, 116.08
114.97, 116.97, 112.97, 114.97
115.54, 117.54, 113.54, 115.54
117.64, 119.64, 115.64, 117.64
119.7, 121.70, 117.70, 119.7
120.2, 122.20, 118.20, 120.2
119.05, 121.05, 117.05, 119.05
117.66, 119.66, 115.66, 117.66
117.69, 119.69, 115.69, 117.69

One row per observation; four comma-separated prices per row. No thousands separators. Keep one currency, interval and adjustment basis. Maximum 2,000 observations.

Illustrative example result

Latest WILLIAMS: -38.285229. Period: 14. Input order: oldest to newest.

Calculation steps, oldest observation first. Unavailable values are warm-up or undefined windows; they are not zero.

1	100
2	102.08
3	102.62
4	101.48
5	100.09
6	100.08
7	101.84
8	104.11
9	105.18
10	104.42
11	102.91
12	102.4
13	103.73
14	106.04	108.04	98	-19.9203
15	107.58	109.58	98.08	-17.3913
16	107.3	109.58	98.08	-19.8261
17	105.82	109.58	98.08	-32.6957
18	104.88	109.58	98.08	-40.8696
19	105.7	109.58	98.08	-33.7391
20	107.9	109.9	99.84	-19.8807
21	109.83	111.83	100.4	-17.4978
22	110.07	112.07	100.4	-17.138
23	108.78	112.07	100.4	-28.1919
24	107.51	112.07	100.4	-39.0746
25	107.79	112.07	100.4	-36.6752
26	109.74	112.07	101.73	-22.5338
27	111.93	113.93	102.88	-18.0995
28	112.71	114.71	102.88	-16.9062
29	111.74	114.71	102.88	-25.1057
30	110.27	114.71	102.88	-37.5317
31	110.02	114.71	102.88	-39.645
32	111.59	114.71	103.7	-28.3379
33	113.9	115.9	105.51	-19.2493
34	115.2	117.2	105.51	-17.1086
35	114.66	117.2	105.51	-21.728
36	113.14	117.2	105.51	-34.7305
37	112.42	117.2	105.51	-40.8896
38	113.51	117.2	105.79	-32.3401
39	115.79	117.79	107.74	-19.9005
40	117.53	119.53	108.02	-17.3762
41	117.49	119.53	108.02	-17.7237
42	116.08	119.53	108.02	-29.9739
43	114.97	119.53	108.02	-39.6177
44	115.54	119.53	108.02	-34.6655
45	117.64	119.64	109.59	-19.9005
46	119.7	121.7	110.42	-17.7305
47	120.2	122.2	110.42	-16.9779
48	119.05	122.2	110.42	-26.7402
49	117.66	122.2	110.42	-38.5399
50	117.69	122.2	110.42	-38.2852

How to read these results

Formula & calculation basis

For each n-bar window, Williams %R = −100 × (highest high − latest close) / (highest high − lowest low). The output runs from −100 to 0 for valid OHLC data.

Coverage & limitations

At least n bars are needed. A zero high–low range is unavailable, not a signal. OHLC values must share one adjustment basis and contain each open and close within the high–low range.

Sources & update policy

Methodology reference ↗

Example inputs are synthetic and are not company data or a forecast. The formula version is dated 2026-10-28. Calculations do not fetch market data.

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