Moving Average Calculator

Compare SMA, EMA, WMA, DEMA and TEMA using a chronological price series.

Illustrative example result

Latest SMA: 116.805. 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	102.6414
15	107.58	103.1829
16	107.3	103.5557
17	105.82	103.7843
18	104.88	104.0271
19	105.7	104.4279
20	107.9	104.9864
21	109.83	105.5571
22	110.07	105.9829
23	108.78	106.24
24	107.51	106.4607
25	107.79	106.8093
26	109.74	107.3336
27	111.93	107.9193
28	112.71	108.3957
29	111.74	108.6929
30	110.27	108.905
31	110.02	109.205
32	111.59	109.6843
33	113.9	110.27
34	115.2	110.7914
35	114.66	111.1364
36	113.14	111.3557
37	112.42	111.6157
38	113.51	112.0443
39	115.79	112.6157
40	117.53	113.1721
41	117.49	113.5693
42	116.08	113.81
43	114.97	114.0407
44	115.54	114.4171
45	117.64	114.9614
46	119.7	115.5407
47	120.2	115.9907
48	119.05	116.2657
49	117.66	116.48
50	117.69	116.805

How to read these results

Formula & calculation basis

SMA is the mean of n values. WMA gives oldest to newest observations weights 1 through n. EMA starts with the first n-value mean and uses α = 2/(n+1). DEMA = 2×EMA − EMA(EMA). TEMA = 3×EMA − 3×EMA(EMA) + EMA(EMA(EMA)); each nested EMA seeds from n valid values.

Coverage & limitations

SMA, WMA and EMA need n values; DEMA needs 2n−1; TEMA needs 3n−2. Warm-up values remain unavailable. Data is processed oldest first; this tool does not fill missing dates or adjust prices for corporate actions.

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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