Chande Momentum Oscillator (CMO)

Summary

Chande Momentum Oscillator: bounded momentum measure from Wilder-smoothed average up-moves and down-moves. Identical to RSI except the numerator uses (gain-loss) instead of gain. Bounded in [-100,+100]; positive = net upward momentum, negative = net downward.

Chart

Reference data (CSV) · Chart (SVG)

Chart metadata i

Outputs

• outReal: line · zero · positive · negative · levels: -50, 50

Formula

d = P[t]-P[t-1]; over the initial period accumulate gain = sum of positive d, loss = sum of -d for negative d. Wilder-smooth each: prevGain = (prevGain*(period-1) + gain_today)/period (same for loss). CMO = 100 * (prevGain-prevLoss)/(prevGain+prevLoss); 0 when prevGain+prevLoss == 0.

Notes

• Gains and losses are smoothed with Wilder's method (as in RSI) rather than the simple period sums of Chande's original definition.

Inputs

• inReal — Source price/value series

Outputs

• outReal — CMO oscillator value

Parameters

Parameter	Type	Default	Accepted values	Description
optInTimePeriod	integer	14	2–100000	Bars over which gains/losses are smoothed

Properties

Numerical Stability: Initial Unstable Period

☐ Overlap Input
✅ Independent Y-Axis i
☐ Candlestick
☐ Display Shift

☐ Can Output NaN or ±Inf
☐ Identity at Period 1
☐ Uses Transcendental
☐ Input Must Be Positive

Example

C

#include <stdio.h>
#include <ta_libc.h>

int n = 252;
double series[252]; /* your data, oldest first */
double out[252];
int outBegIdx, outNBElement;

TA_Initialize();
TA_CMO( 0, n - 1, series, 14, &outBegIdx, &outNBElement, out );
printf( "%d values from bar %d; last out = %f\n", outNBElement, outBegIdx, out[outNBElement - 1] );

Rust

use ta_lib::Core;

let series = vec![0.0; 252]; // your data, oldest first
let mut out = vec![0.0; 252];

let core = Core::new();
let range = core.cmo(0, series.len() - 1, &series, 14, &mut out)?;
println!("{} values from bar {}; last out = {}", range.count, range.beg_idx, out[range.count - 1]);

Java

import io.github.talib.Core;
import io.github.talib.OutRange;

double[] series = new double[252]; // your data, oldest first
double[] out = new double[252];

Core core = Core.DEFAULT;
OutRange r = core.cmo(0, series.length - 1, series, 14, out);
System.out.println(r.count() + " values from bar " + r.begIdx() + "; last out = " + out[r.count() - 1]);

C#

using System;
using TALib;

var series = new double[252]; // your data, oldest first
var outReal = new double[252];

var core = Core.Default;
OutRange r = core.Cmo(0, series.Length - 1, series, 14, outReal);
Console.WriteLine($"{r.Count} values from bar {r.BegIdx}; last outReal = {outReal[r.Count - 1]}");

TypeScript

import { cmo } from 'ta-lib';

const series = new Float64Array(252); // your data, oldest first

const { begIdx, values } = cmo(series, { timePeriod: 14 });
console.log(values.length + ' values from bar ' + begIdx + '; last values = ' + values[values.length - 1]);

Implementation

Added in 0.4.0.

TA-Lib Definition: cmo.c · cmo.yaml

Native	File
C	ta_CMO.c
Rust	cmo.rs
Java	Core_CMO.java
C#	Core_CMO.cs
TypeScript	cmo.ts

Python: talib.CMO, see ta-lib-python.

TA-Lib is also available for R and more using a wrapper.

Aliases

Chande Momentum Oscillator

See Also

RSI

References

• Tushar S. Chande, The New Technical Trader, John Wiley & Sons (ISBN 0471597805)