BITCOIN EXPONENTIAL MOVING AVERAGE

What is Bitcoin Exponential Moving Average?

A Bitcoin exponential moving average, or EMA, gives more weight to recent closes while retaining a fading contribution from older ones. Instead of dropping the oldest close at a fixed boundary, it updates the previous average toward the newest close. The line can therefore respond differently from a simple average using the same period number.The default view displays 20-, 50- and 200-period EMAs. This family also includes DEMA, TEMA and Tillson T3, which combine several exponential smoothing stages. Their names describe related constructions, but they are not interchangeable: some combinations subtract smoothed components to change lag, rather than merely averaging the price repeatedly.

Understand the update weight

For period n, the EMA weight is 2 ÷ (n + 1). The update is previous EMA + weight × (new close − previous EMA). A close above the previous average pulls it upward; a close below pulls it downward. Earlier observations continue to matter through the previous average, with influence fading at each update.

Read price position and line direction together

Maketo’s default summary uses the primary 20-period EMA. Rising requires the close above that EMA and the EMA above its value five candles earlier. Falling requires both comparisons below. When they disagree or touch, the label is Mixed. The same price-and-five-candle comparison applies to the selected alternative line.

Recognize that faster response has a tradeoff

A line that follows a sudden move more closely also gives short-lived changes more influence. A smoother line suppresses some detail but can respond later. No construction removes that tradeoff, and a smaller gap from current price is not proof that an average describes the next move better.

How Exponential Moving Average is calculated

EMA updates by adding α × (new close − prior EMA), with α = 2 / (period + 1). DEMA and TEMA combine repeated EMA stages; T3 uses a configurable volume factor. The page is published on Exponential moving average, long 200, medium 50, period 20. A period counts candles at the interval you choose, so the same setting covers a different stretch of time on a one-hour chart than on a daily one. How smoothing and missing candles are handled.

A calculation you can follow

An invented 9-period update makes the exponential weight easy to calculate. For period 9, the weight is 2 ÷ (9 + 1) = 0.2. Suppose the initialized prior EMA is $100,000 and the new close is $105,000.The new EMA is $100,000 + 0.2 × ($105,000 − $100,000) = $101,000.If the next close remains $105,000, the EMA moves to $101,000 + 0.2 × $4,000 = $101,800. It continues approaching the unchanged price because earlier lower observations still matter.For a separate DEMA illustration, suppose the first EMA stage is $101,000 and the second stage is $100,500. DEMA = 2 × $101,000 − $100,500 = $101,500. It is not simply the second EMA stage.Repeated smoothing and a combination that subtracts smoothing are different operations. The selected variant determines which one the chart displays.

EMA and initialization

Maketo seeds each EMA with the mean of its first full period of inputs. It does not seed it from the very first close. For the default 20-period EMA, the newest input weight is 2/21, about 9.52%. A 20-period EMA still retains older influence beyond 20 candles.

DEMA and TEMA

Let E1 be the EMA of closes, E2 the EMA of E1, and E3 the EMA of E2, all using the same period. DEMA = 2 × E1 − E2. TEMA = 3 × E1 − 3 × E2 + E3. The subtraction changes lag and can create overshoot; these are not ordinary averages confined between their component lines.

Tillson T3 and factor 0.7

T3 uses six successive EMA stages, E1 through E6. With factor f, it combines (1 + f)³ × E3 − 3f(1 + f)² × E4 + 3f²(1 + f) × E5 − f³ × E6. The default factor is 0.7. Despite an older name sometimes used for this factor, no trading volume enters this calculation.

History required by each variant

At period 20, the first EMA needs 20 candles, DEMA 39, TEMA 58, and T3 115 because each stage receives only valid preceding-stage values. A long-period annual version may have insufficient history. Missing candles reset the sequence rather than being filled with repeated prices.

Matching the period does not match the method

EMA 20 and SMA 20 use different weights. DEMA 20 and TEMA 20 also differ from EMA 20 despite sharing the same period. Compare both the method and candle interval when citing or checking a reading.

Combined lines can overshoot

Subtracting slower components can place DEMA, TEMA or T3 beyond recent prices or component averages. Such a value is not automatically a data error. It reflects the chosen smoothing combination, whose behavior should be understood before comparing it with a plain average.

A different starting point can change the result

Exponential calculations retain earlier information. Maketo uses the complete available history before limiting the visible range, so zooming does not reseed the line. Differences between platforms can come from their initial average or from gaps and corrections in their inputs.

Exponential Moving Average compared with Simple Moving Average

Compare a matching-period SMA to see how the weighting changes the line. An SMA moves according to the entering close versus the departing close. An EMA moves according to the new close versus its prior average. Those different update rules explain many apparent disagreements. Open Bitcoin Simple Moving Average.

Is an EMA’s period a strict limit on its memory?

No. The period sets its update weight and initial window. After initialization, earlier inputs remain inside the previous average and their influence fades rather than stopping at a fixed age.

Does T3’s factor weight the candles by trading volume?

No. It controls the coefficients combining successive exponential averages of closes. Actual candle volume is not an input to this family.