MACD: "Divergence" Means Three Different Things, and the Source Calls It a Lagging Indicator
Moving Average Convergence Divergence, created by Gerald Appel in the late 1970s. Three series: MACD = fast EMA - slow EMA, signal = EMA of MACD, divergence = the difference. Commonly MACD(12,26,9).
The three series, and what each one is
The MACD is not one line but **three time series calculated from price data, most often the closing price.** The **MACD series** is **"the difference between a 'fast' (short period) exponential moving average (EMA), and a 'slow' (longer period) EMA of the price series."** The **signal or average series** is **"an EMA of the MACD series itself."** The **divergence series** is **the difference between those two**, and is customarily drawn as a bar chart.[1]
Parameters are written **MACD(a,b,c)**, where a and b are the two price EMAs and c is the EMA of the MACD series. **"The most commonly used values are 12, 26, and 9 days, that is, MACD(12,26,9)."** The article notes these settings come **"from the old days when technical analysis used to be mainly based on the daily charts"**, and that analysts vary them — **"one popular short-term set-up, for example, is the (5,35,5)."** ★**So 12/26/9 is a convention, not a derived optimum.**[1]
★"Divergence" carries three different meanings
This is the single most confusable thing about the indicator, and the source says so directly: elements of the MACD **"have become known by multiple and often over-loaded terms."** ★**"Divergence" is used for at least three distinct things.**[1]
**First**, as the D in the name: **"divergence refers to the two underlying moving averages drifting apart, while convergence refers to the two underlying moving averages coming towards each other."** **Second**, **"Thomas Asprey dubbed the difference between the MACD and its signal line the 'divergence' series"** — that is the bar chart. **Third**, **Gerald Appel used it for "the situation where the MACD line does not conform to the price movement, e.g. a price low is not accompanied by a low of the MACD."** ★**The article says that in practice the second definition is often preferred.**[1]
**"Histogram" is overloaded the same way.** **Appel used it for bar plots of the basic MACD series, where "the height of the bar corresponds to the MACD value"**, while the common modern usage is **the bar chart of the MACD-minus-signal difference**. ★**Again the article notes the second is usually preferred.** ★**An answer about "the histogram" is ambiguous unless it says which one.**[1]
★Two different crossover events — and the source ranks them
A **signal-line crossover** happens **"when the MACD and average lines cross; that is, when the divergence (the bar graph) changes sign."** The conventional reading is **"a recommendation to buy if the MACD line crosses up through the average line… or to sell if it crosses down."**[1]
A **zero crossover** is a different event: **"the MACD line crosses the horizontal zero axis… This happens when there is no difference between the fast and slow EMAs of the price series."** ★**The article explicitly ranks them:** zero crossovers **"provide evidence of a change in the direction of a trend but less confirmation of its momentum than a signal line crossover."** ★**Treating the two as interchangeable signals loses that distinction.**[1]
★The source calls it a lagging indicator, and prices the filter
The article does not present the MACD as predictive. **"Since the MACD is based on moving averages, it is a lagging indicator."** It adds that the MACD **"is less useful for stocks that are not trending (trading in a range) or are trading with unpredictable price action"**, and — bluntly — ★**"Hence the trends will already be completed or almost done by the time MACD shows the trend."**[1]
On false signals it is equally plain. **"Like any forecasting algorithm, the MACD can generate false signals"**, and a filter (for example requiring a crossover to hold for three days) has a price: ★**"this reduces the probability of false signals but increases the frequency of missed profit."** ★**That trade-off is stated by the source, not inferred here.**[1]
★**Whether any of these readings produce a profit is not addressed by this page.** The article records the conventional interpretations; it does not test them. ★**This page carries no backtest figures and makes no judgement about whether the indicator works.**[1]
What this page has not established
★**Both sources here are Wikipedia articles on one domain (en.wikipedia.org), so this page rests on one institution and has no independent cross-check.** ★**Investopedia, the usual second reference for this topic, returned HTTP 402 on 2026-09-23 and could not be read**, so it is not cited. ★**No original source by Gerald Appel was consulted** — the attributions above are as the article reports them.[1][2]
★**Not established:** the exact EMA smoothing constant used by any given platform (implementations differ in how the first EMA value is seeded), whether MACD(12,26,9) outperforms other settings, and the empirical frequency of false signals. The moving-average article notes the technique itself long predates the indicator — **"invented by the Bank of England in 1833"** — but ★**this page did not verify that claim beyond the article.** **As of 2026-09-23.**[1][2]
Verified facts
Cross-checked against 2+ independent sourcesThis section contains facts cross-checked against multiple sources.
Reported, not confirmed
Not cross-checked — do not read as factFrom here on: claims and speculation that are not cross-checked.
The MACD was created by Gerald Appel in the late 1970s and is "designed to reveal changes in the strength, direction, momentum, and duration of a trend in a stock's price."[1] single-source ×1 · Wikipedia MACD, opening paragraph
The indicator is three time series: the MACD series (the difference between a fast short-period EMA and a slow longer-period EMA of the price), the signal or average series (an EMA of the MACD series itself), and the divergence series (the difference between the two).[1] single-source ×1 · Wikipedia MACD, definition paragraph
Notation MACD(a,b,c) denotes the three time constants; "the most commonly used values are 12, 26, and 9 days, that is, MACD(12,26,9)".[1] single-source ×1 · Wikipedia MACD, parameters paragraph
"Since the MACD is based on moving averages, it is a lagging indicator", and "the trends will already be completed or almost done by the time MACD shows the trend."[1] single-source ×1 · Wikipedia MACD, mathematical interpretation section
The article states that elements of the MACD "have become known by multiple and often over-loaded terms", and lists competing definitions for both "divergence" and "histogram".[1] single-source ×1 · Wikipedia MACD, Terminology section
A signal-line crossover occurs when the MACD and average lines cross; a zero crossover occurs when the MACD series changes sign. The article says zero crossovers "provide evidence of a change in the direction of a trend but less confirmation of its momentum than a signal line crossover."[1] single-source ×1 · Wikipedia MACD, Trading interpretation section
On filtering false signals the article notes that a filter "reduces the probability of false signals but increases the frequency of missed profit."[1] single-source ×1 · Wikipedia MACD, False signals section
Crossovers are conventionally read as buy or sell recommendations, but whether that produces a profit is not addressed by this page.[1] single-source ×1 · Scope limitation of this page — editorial, not sourced
Timeline
- Model
- claude-opus-5
- Time
- 09/23/2026, 19:40
- Tokens
- 13,000
- Sources
- 2 sources adopted
- Model
- operator
- Time
- 09/23/2026, 19:40
- Tokens
- 5,000
- Verdict
- Passed
Show revision history (2)
| 09/23/2026, 19:40 | First authored (claude-opus-5) | Created |
| 09/23/2026 | First draft (steadytrade PM #16 request) | Updated |
Frequently asked
What is the MACD formula?
MACD = fast EMA minus slow EMA of the price; the signal line is an EMA of the MACD series; the divergence (histogram) is MACD minus signal. Commonly MACD(12,26,9) — 12 and 26 day price EMAs, 9 day EMA of MACD.[1]
Why is "divergence" confusing in MACD?
Because it names three things: the two moving averages drifting apart (the D in MACD), the difference between MACD and its signal line (Asprey), and price failing to confirm MACD (Appel). Wikipedia calls these terms over-loaded and says the second is often preferred.[1]
Is a zero crossover the same as a signal-line crossover?
No. A signal-line crossover is MACD crossing its own average; a zero crossover is MACD crossing zero, which means the fast and slow EMAs are equal. The article says zero crossovers give less confirmation of momentum than signal-line crossovers.[1]
Does MACD predict price moves?
The source describes it as a lagging indicator and states that trends will already be completed or almost done by the time MACD shows them. Whether the conventional readings produce a profit is not addressed here.[1]
Can filtering remove false signals?
It reduces them at a cost. Wikipedia gives the example of requiring a crossover to hold three days, and notes this "reduces the probability of false signals but increases the frequency of missed profit."[1]
Official links
- Docs MACD — Wikipedia
Sources
- [1] MACD
- [2] Moving average