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Finance · Investments & Markets

Exponential Moving Average Calculator

Calculate an EMA from entered prices and a smoothing period.

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Understand the investment calculation

What the Exponential Moving Average Calculator is for

Calculate an EMA from entered prices and a smoothing period.

It makes the prices, cash flows, rates, time periods, weights, and model conventions explicit so you can inspect an entered scenario without hidden live-market assumptions.

Calculation structure

Follow the stated model and units

Visual explanation

See how the inputs become the result

Read the estimate correctly

Use the result within its boundaries

Prices 10, 12, 14 with period 3 end at EMA 12.5 under the stated first-price seed.

The first entered price seeds the EMA; other charting platforms may seed differently.

Quick guide

How to use this calculator

  1. Enter observations in chronological order and choose the visible period or convention.
  2. Use prices and volumes with consistent units and equally spaced periods where required.
  3. Read the formula and seeding convention before comparing results with another platform.

Calculation method

Calculation method

EMAₜ = αPriceₜ + (1−α)EMAₜ₋₁, where α = 2 ÷ (n+1).

Technical indicators are deterministic transformations of entered historical data. Approximate floating results are explicitly formatted as estimates.

Worked example

Worked example

Prices 10, 12, 14 with period 3 end at EMA 12.5 under the stated first-price seed.

EMAₜ = αPriceₜ + (1−α)EMAₜ₋₁, where α = 2 ÷ (n+1).

Supported inputs

Precision and limits

Visible input limits

Lists accept up to 2,000 fixed-decimal rows. Period fields disclose their whole-number limits. Approximate indicators reject observations whose significant differences cannot be represented reliably at their entered scale.

No live market data

The page does not fetch prices, volumes, corporate actions, exchange calendars, or benchmark data. Enter adjusted or unadjusted observations deliberately.

Decision boundary

Indicators describe entered history. They do not predict price direction, identify a suitable trade, measure every risk, or recommend an investment.

Calculator-specific assumptions

The first entered price seeds the EMA; other charting platforms may seed differently.