# Moving Average Calculator (SMA, EMA, WMA) and RSI

URL: https://speedycalculator.com/calculators/finance/moving-average/
Last updated: 2026-10-25

> The moving average calculator works out the simple, exponential and weighted moving averages of a list of prices for any period length, the full SMA series, and the 14-period relative strength index (RSI).

## Inputs

- Prices (oldest first)
- Length of the moving average
- RSI period

## Results

- Simple moving average (latest)
- Exponential moving average (latest)
- Weighted moving average (latest)
- Relative strength index (RSI)
- RSI signal
- SMA series (period: value)

## Formula

```
SMA = average of the last n prices
EMA = price × k + previous EMA × (1 − k), k = 2 ÷ (n + 1)
WMA = Σ (weight × price) ÷ Σ weights (newest weighted highest)
RSI = 100 − 100 ÷ (1 + average gain ÷ average loss), Wilder smoothing
```

## Explanation

Moving averages smooth out price noise to show the trend; traders watch crossovers of short and long averages. RSI measures momentum: readings above 70 suggest overbought, below 30 oversold. Everything is calculated in your browser, so nothing you type is sent to our server.

### How to use the Moving Average Calculator

- **Prices (oldest first)**
- **Length of the moving average**
- **RSI period**

Everything runs in your browser, so results appear instantly and nothing you type is sent to a server.

### How it works

Paste prices in date order (oldest first), choose the moving-average length and the RSI period.

### Tips

- Use the nominal annual rate and pick the compounding frequency your bank or broker states.
- Small differences in return or fees compound into large differences over decades.
- Run the calculation with a cautious, a central and an optimistic return to see the range of outcomes.
- Past returns do not guarantee future returns – nothing here is investment advice.

### Common mistakes to avoid

- Comparing an APR with an APY or effective rate.
- Ignoring inflation, taxes and fees when judging a real return.
- Entering a percentage as a decimal (5 instead of 0.05 is correct here).

## Worked example

Inputs — Prices (oldest first): 44, 44.15, 43.9, 44.35, 44.8, 45.1, 45.4, 45.6, 45.2, 45.8, 46, 46.2, 45.9, 46.5, 46.8, 47; Length of the moving average: 5; RSI period: 14.

Results — **Simple moving average (latest) = 46.48**; Exponential moving average (latest) = 46.5311; Weighted moving average (latest) = 46.6467; Relative strength index (RSI) = 80.67; RSI signal = Overbought (RSI ≥ 70); SMA series (period: value) = 5: 44.24
6: 44.46
7: 44.71
8: 45.05
9: 45.22
10: 45.42
11: 45.6
12: 45.76
13: 45.82
14: 46.08
15: 46.28
16: 46.48.

## FAQ

**What is a moving average?**
The average price over the last n periods, recalculated as each new price arrives.

**What is the difference between SMA and EMA?**
EMA gives more weight to recent prices, so it reacts faster.

**What does RSI above 70 mean?**
The asset may be overbought; below 30, oversold.

**What formula does the Moving Average Calculator use?**
SMA = average of the last n prices.