Implied volatility: the market's own forecast, read backwards out of a price

Implied volatility is the only number in an option chain that nobody quotes and everybody trades. It is not observed and it is not forecast — it is solved for, by asking what volatility would make a pricing model agree with the price already on the screen. Everything else in this section is a consequence of that one sentence.

What is implied volatility? Implied volatility is the volatility figure that, when fed into an option pricing model, reproduces the option's current market price exactly. It is a re-expression of price, not a prediction, and because every strike and every expiry prints its own implied volatility, the collection of them forms the smile, the skew and the volatility surface.

Implied Volatility

IV

Implied volatility is the volatility figure that, when fed into an option pricing model, makes the model output the option's current market price exactly …

The volatility an option's price implies Beginner

How IV is Calculated

How IV is calculated comes down to inversion: you fix every observable input to a pricing model and search numerically for the single volatility that make…

Inverting a pricing model Intermediate

Why IV Changes

Why IV changes is a question about order flow, not opinion: implied volatility rises and falls because the demand for options relative to their supply ris…

Supply and demand for optionality Beginner

IV Expansion

IV expansion is a sustained, persistent rise in implied volatility in which the market re-rates the entire distribution of future outcomes upward and keep…

A persistent rise in implied volatility Intermediate

IV Crush

IV crush is the sudden, one-print collapse of implied volatility that occurs the instant a scheduled event resolves, as the option stops charging for unce…

The collapse of IV once uncertainty resolves Beginner

Event Volatility

Event volatility is the portion of an option's implied volatility attributable to a single scheduled event — such as an RBI decision or the Union Budget —…

The variance a scheduled event contributes Intermediate

Earnings Volatility

Earnings volatility is the pronounced rise and subsequent collapse of a single stock's implied volatility around its quarterly results release, driven by …

Single-stock IV around a results release Intermediate

Volatility Smile

The volatility smile is the U-shaped curve you get when you plot each strike's implied volatility against its strike price, in which both out-of-the-money…

IV across strikes Intermediate

Volatility Skew

The volatility skew is the downward-sloping implied-volatility curve that equity indices print, in which out-of-the-money puts are systematically dearer —…

Asymmetry of IV across strikes Intermediate

Volatility Surface

The volatility surface is the two-dimensional map of implied volatility plotted over both strike and time to expiry — the full object that any single quot…

IV across strike and expiry Advanced

Sticky Strike

Sticky strike is the volatility-surface regime in which each strike keeps its own implied volatility fixed as spot moves, so the curve stays glued to stri…

How the smile moves when spot moves Advanced

Sticky Delta

Sticky delta is the volatility-surface regime — also called sticky moneyness — in which the entire smile slides sideways along with spot, so the at-the-mo…

How the smile moves when spot moves Advanced

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Frequently asked questions

What is implied volatility?
Implied volatility is the volatility figure that, when fed into an option pricing model, reproduces the option's current market price exactly. It is a re-expression of price, not a prediction, and because every strike and every expiry prints its own implied volatility, the collection of them forms the smile, the skew and the volatility surface.
How many implied volatility pages does VolatilityGyan have?
VolatilityGyan documents 12 concepts under Implied Volatility, each with a plain-English definition, a professional explanation, the formula with every variable defined, an original diagram, worked NIFTY examples, its limitations, common mistakes and at least twenty frequently asked questions.
Where should I start with implied volatility?
Start with Implied Volatility. Implied volatility is the volatility figure that, when fed into an option pricing model, makes the model output the option's current market price exactly — so it is a restatement of price, not a prediction of it.
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