Expected Move

The range options pricing implies for a stock or index by expiration, calculated two ways, from implied volatility and from the at-the-money straddle.

What expected move means

The expected move is the range that options pricing implies an underlying will stay within by a given expiration. It is sometimes called the implied move. It is not a forecast and it carries no directional view: it is a restatement of the volatility currently priced into the options chain, converted from an annualized percentage into a dollar or point range over a specific number of days.

Two methods dominate, and they do not agree with each other. Knowing why they disagree is more useful than either number alone.

The implied volatility formula

The direct calculation is Expected Move = S × IV × sqrt(T), where S is the underlying price, IV is the annualized implied volatility as a decimal, and T is time to expiration expressed as a fraction of a year.

Work an example. Take an index at 5,900 with 30 days to expiration and implied volatility of 15%. First convert the time: sqrt(30/365) = 0.2867. Then 5,900 × 0.15 × 0.2867 = 253.7 points, which is about 4.3% of the index. The implied range is roughly 5,646 to 6,154 by that expiration.

The same square-root-of-time scaling powers the rule of 16, which is just this formula collapsed to a single trading day with the VIX supplying the volatility input.

The straddle approximation

The faster method is to read the price of the at-the-money straddle (the call plus the put at the strike nearest spot) and treat that total premium as the expected move. Traders like it because it requires no calculator and it reflects what the market is actually charging right now, including any premium that no clean volatility number captures.

It also understates the one-standard-deviation move by about 20%, and this is where most explanations go quiet. Under Black-Scholes, an at-the-money-forward straddle is worth approximately 0.798 × S × IV × sqrt(T), the constant is sqrt(2/pi) = 0.7979, which falls out of the normal density at the money. In the index example above, the straddle would price near 202 points against a true one-sigma move of 254.

So if you want the one-standard-deviation figure from a straddle price, multiply by the reciprocal: 1 / 0.798 = 1.253. The straddle price by itself is closer to a 58% confidence band than a 68% one. Some desks instead multiply the straddle by 0.85, which produces an even narrower range; that convention is a rule of thumb for where price tends to settle, not a one-sigma estimate, and the two should not be mixed up.

Earnings expected move

Around earnings the straddle method is usually the right tool, because implied volatility on the front expiration is not a stable annualized rate, it is an event premium compressed into a few days, and annualizing it produces a meaningless input.

Take a stock at $200 whose weekly straddle costs $12. The straddle-implied move is 12 / 200 = 6%. Applying the correction, the one-standard-deviation move is 12 × 1.253 = $15.04, or about 7.5%. Those are materially different bands, and which one you use should be a deliberate choice.

The number is also, in a real sense, a market consensus you can trade against. If a stock has moved more than its implied move on most of its recent reports, the options are systematically cheap into events; if it has consistently moved less, they are rich. That comparison, not the raw range, is where the information is. Our earnings options strategies guide covers how the post-event volatility crush interacts with it.

What both methods assume

Both formulas inherit a lognormal return distribution, constant volatility to expiration, and no drift. Real markets violate all three. Expected move says nothing about path, a stock can finish inside its expected range having traded far outside it, which is why the range is a poor stop-loss guide.

Most importantly, one standard deviation contains only about 68% of a normal distribution's outcomes. Roughly one expiration in three should breach the expected move, and equity tails are fatter than the model, so the real breach rate runs higher. See implied volatility explained for how the input itself is derived, or browse the glossary for related terms.

Educational content, not financial advice. See our risk disclosure.

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