# Options expected move calculator

> Estimate a volatility-implied move over a selected number of days using price × annualized IV × √(days ÷ 365). The result is a range, not a directional target or guarantee.

- Canonical page: [https://caymanbot.com/options-expected-move-calculator](https://caymanbot.com/options-expected-move-calculator)
- Content type: tool
- Last reviewed: 2026-08-19
- Publisher: CaymanBot, LLC

## Quick answer

Estimate a volatility-implied move over a selected number of days using price × annualized IV × √(days ÷ 365). The result is a range, not a directional target or guarantee.

## Key points

- **Transparent formula:** Uses the common square-root-of-time approximation with every input visible.
- **One or two sigma:** Compare one- and two-standard-deviation ranges without implying direction.
- **Any time window:** Estimate a daily, weekly, earnings-window or longer move from annualized IV.

## Expected move formula

The approximation multiplies the current underlying price by annualized implied volatility in decimal form and the square root of days divided by 365. For a $100 stock with 30% IV over 30 days, the one-standard-deviation estimate is about $8.60, producing a range near $91.40 to $108.60.

Using 252 trading days instead of 365 produces a different value. Options volatility is conventionally annualized and calendar-time decay continues across weekends, so this calculator uses 365 and states that assumption explicitly.

## What one standard deviation means

Under a simplified normal-distribution interpretation, roughly 68% of outcomes fall within one standard deviation and roughly 95% within two. Actual asset returns are not perfectly normal: gaps, skew, changing volatility and fat tails make extreme moves more common than a simple model suggests.

Implied volatility also contains risk premium and varies by strike and expiration. The selected IV should match the horizon and contracts being researched rather than an unrelated generic volatility number.

- Expected move is magnitude, not bullish or bearish direction.
- The estimate changes linearly with IV and nonlinearly with time.
- Event volatility can collapse after earnings or another known catalyst.
- Skew means the market may price upside and downside tails differently.

## Expected move versus straddle pricing

Traders also approximate an event move from the price of an at-the-money straddle. That approach uses live option prices and may better reflect a specific expiration, though rules of thumb differ and bid/ask spreads matter. The volatility formula is useful when you want a consistent estimate from price, IV and time.

Neither method predicts the realized move. Compare assumptions, use current inputs and size risk for outcomes beyond the calculated range.

## Frequently asked questions

### How is an options expected move calculated?

A common approximation is underlying price multiplied by annualized implied volatility and the square root of days divided by 365.

### Does expected move predict direction?

No. It estimates the magnitude of a possible move around the current price, not whether price will rise or fall.

### Is one standard deviation guaranteed to contain the move?

No. The probability interpretation relies on simplified distribution and stable-volatility assumptions that real markets do not consistently satisfy.

### Should I use current IV or historical volatility?

Expected-move calculations based on option pricing normally use implied volatility for a relevant expiration. Historical volatility answers a different question about past movement.

## Related CaymanBot resources

- [Options profit calculator](https://caymanbot.com/options-profit-calculator)
- [Options position size calculator](https://caymanbot.com/options-position-size-calculator)
- [Turn dealer gamma exposure into a readable market map](https://caymanbot.com/gex-heatmap)
- [How to read 0DTE options flow](https://caymanbot.com/zero-dte-options-flow)

Market data, modeled analytics, calculators and public-filing summaries are informational. Verify time-sensitive data and original filings before making decisions.
