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# MACD: Moving Average Convergence Divergence
| Property | Value |
| ---------------- | -------------------------------- |
| **Category** | Momentum |
| **Inputs** | Source (close) |
| **Parameters** | `fastPeriod` (default 12), `slowPeriod` (default 26), `signalPeriod` (default 9) |
| **Outputs** | Multiple series (Signal, Histogram) |
| **Output range** | Varies (see docs) |
| **Warmup** | 1 bar |
### TL;DR
- The Moving Average Convergence Divergence measures momentum through the relationship between two exponential moving averages.
- Parameterized by `fastperiod` (default 12), `slowperiod` (default 26), `signalperiod` (default 9).
- Output range: Varies (see docs).
- Requires 1 bar of warmup before first valid output (IsHot = true).
- Validated against TA-Lib, Skender, and Tulip reference implementations where available.
> "The trend is your friend, until it bends." — Ed Seykota
The Moving Average Convergence Divergence measures momentum through the relationship between two exponential moving averages. Created by Gerald Appel in 1979, the indicator transforms price into a bounded oscillator that reveals trend strength, direction, and potential reversals. Standard parameters (12, 26, 9) detect monthly and biweekly cycles: the 26-period represents roughly one trading month, the 12-period half that duration.
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- Aspray, T. (1986). "MACD Histogram." *Technical Analysis of Stocks & Commodities*.
- Murphy, J. (1999). *Technical Analysis of the Financial Markets*. New York Institute of Finance.
- Pring, M. (2002). *Technical Analysis Explained*. McGraw-Hill.
- Elder, A. (1993). *Trading for a Living*. Wiley. (Discussion of MACD histogram interpretation)
- Elder, A. (1993). *Trading for a Living*. Wiley. (Discussion of MACD histogram interpretation)