Every volatility concept, in one place

The full VolatilityGyan library — 68 concepts across 8 sections, listed by section below and A–Z at the bottom. Each has a one-sentence answer, a beginner's explanation, a quantitative one, the formula with every variable defined, an original diagram, worked NIFTY examples and at least twenty FAQs.

Where should I start? If volatility is new to you, read What is Volatility?, then Implied Volatility, then Expected Move — those three explain most of what an option chain is telling you. If you already trade options, the two pages that most often change how people think are Volatility Skew and Volatility Risk Premium.

Core Volatility

Core volatility is the family of measures that quantify how much an asset's price moves, expressed as an annualised standard deviation of its returns. The family splits by what da…

What is Volatility?

What is Volatility? At its core it is the annualised standard deviation of an asset's returns — a measure of how far price typically strays from its own p…

Dispersion of returns Beginner

Historical Volatility

HV

Historical Volatility is the annualised standard deviation of an asset's past close-to-close log returns over a chosen window — a purely backward-looking …

Past dispersion, close-to-close Beginner

Realized Volatility

RV

Realized Volatility is the volatility an asset actually delivered over a past period, measured from its realised price path — the quantity an option selle…

What the market actually did Intermediate

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

Expected Volatility

Expected volatility is a forecast of how much an asset will move over a future period, produced by a statistical model from the return history — which mak…

A forecast of future dispersion Intermediate

Forward Volatility

Forward volatility is the volatility the option market implies for a future window between two dates T1 and T2, extracted from the two spot implied volati…

Volatility of a future window Advanced

Annualized Volatility

Annualized volatility is a short-period volatility rescaled to a one-year horizon by multiplying by the square root of the number of periods in a year, be…

Volatility rescaled to one year Beginner

Intraday Volatility

Intraday volatility is the dispersion of an asset's returns measured within a single trading session, revealing a U-shaped pattern — violent at the open, …

Dispersion within a single session Intermediate

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 …

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

Volatility Metrics

Volatility metrics are the standardised measurements that place a raw volatility reading in context: IV Rank and IV Percentile locate today's implied volatility within its own his…

IV Rank

IVR

IV Rank locates today's implied volatility inside its own trailing 52-week range, scoring it from 0 at the year's low to 100 at the year's high — so it an…

Position in the 52-week IV range Beginner

IV Percentile

IVP

IV Percentile is the fraction of trading days in the past year on which implied volatility closed below today's level, expressed from 0 to 100 — so it ans…

Share of days below today's IV Beginner

HV vs IV

HV vs IV is the comparison between historical volatility — how much the underlying actually moved in the past — and implied volatility — how much option p…

The forward-looking figure against the backward-looking one Intermediate

Volatility Risk Premium

VRP

The volatility risk premium is the systematic gap by which implied volatility exceeds the volatility that subsequently realises, typically one to four vol…

Implied volatility minus subsequently realised volatility Advanced

Expected Move

Expected move is the one-standard-deviation price range that an option's implied volatility is pricing over a chosen number of days, computed as spot × im…

The 1σ price range an IV implies Beginner

Standard Deviation

σ

Standard deviation is the typical distance of a set of numbers from their average, and in finance it is the exact quantity that volatility measures — spec…

Typical distance from the mean Beginner

Variance

σ²

Variance is the square of volatility — the average of the squared deviations of returns from their mean — and it is the quantity that adds across independ…

The additive dispersion quantity Intermediate

Realized Variance

Realized variance is the sum of the squared returns of an asset over a period, and because squaring makes the largest moves dominate the total, it is less…

Sum of squared returns over a period Advanced

Term Structure

The volatility term structure is the curve of implied volatility plotted against time to expiry. When it slopes upward, near-dated options are cheaper than long-dated ones and the…

What is Term Structure?

Term Structure

The volatility term structure is the curve you get when you plot at-the-money implied volatility against days to expiry — and its slope, not its level, te…

IV across expiries Intermediate

Contango

Contango

Contango is the market's default state, in which the volatility term structure slopes upward — near-dated implied volatility trades below long-dated — so …

Upward-sloping volatility term structure Intermediate

Backwardation

Backwardation

Backwardation is the inverted volatility term structure — near-dated implied volatility trading above long-dated — that appears in selloffs and crises whe…

Downward-sloping volatility term structure Intermediate

Calendar Structure

Calendar

Calendar structure is the implied-volatility relationship between two expiries that a calendar spread actually trades — sell a near-dated option, buy a fa…

The IV relationship between two expiries Advanced

Expiry Structure

Expiry structure is the implied volatility read off each individual listed expiry of an index, and on NIFTY it forms a saw-tooth — every weekly and the mo…

IV across listed expiries Intermediate

Volatility Curve

Volatility curve, in the sense that matters to a volatility trader, is the volatility cone — the historical distribution of realised volatility plotted fo…

The distribution of realised vol by tenor Advanced

Event Premium

Event premium is the extra variance that a single scheduled event — an RBI decision, the Union Budget, election counting — injects into an option's total …

The extra variance a scheduled event injects Advanced

Rolling Volatility

Rolling volatility is the realised volatility of an underlying computed over a moving window of the most recent days, re-estimated each day as the window …

Realised vol over a moving window Beginner

Volatility Indices

A volatility index is a model-free measure of the volatility that an index's option chain is currently pricing over a fixed forward window, usually 30 days, quoted as an annualise…

India VIX

VIX

India VIX is NSE's volatility index — a model-free measure of the volatility the near-dated NIFTY option chain is pricing over a fixed forward 30-day wind…

30-day expected NIFTY volatility Beginner

CBOE VIX

CBOE VIX is the Chicago Board Options Exchange's volatility index — a model-free measure of the volatility the near-dated S&P 500 option chain is pricing …

30-day expected S&P 500 volatility Intermediate

VVIX

VVIX is the volatility of the volatility index — a model-free measure of how much the VIX itself is expected to move over the next 30 days, computed from …

Volatility of the volatility index Advanced

VIX Futures

VIX futures are exchange-traded contracts on the future value of a volatility index, and because volatility mean-reverts they price toward its long-run av…

Market-traded expectations of future VIX Advanced

VIX Options

VIX options are options written on a volatility index that settle against the VIX future of matching expiry rather than against spot VIX, which — together…

Options on a volatility index Advanced

VIX Term Structure

VIX term structure is the curve of a volatility index across expiries — VIX9D, VIX, VIX3M and VIX6M — whose slope reveals whether the market believes toda…

Expected volatility across horizons Advanced

Fear Index

Fear Index is the popular nickname for a volatility index such as India VIX, and it is a misnomer — the index measures the price of optionality, meaning t…

The popular reading of a volatility index Beginner

Market Sentiment

Market sentiment, read through volatility, is what option prices reveal about crowd positioning — via the put-call ratio, the skew, and the term-structure…

What volatility says about positioning Intermediate

Volatility Strategies

Volatility strategies are positions whose profit and loss depend primarily on the magnitude of an underlying's movement, or on changes in implied volatility, rather than on direct…

Long Volatility

Long volatility is any position built to gain when volatility increases — typically by owning options — so that its maximum loss is the known premium paid…

A position that gains when volatility rises Intermediate

Short Volatility

Short volatility is any position built to gain when volatility falls — typically by selling options and collecting premium — so that its maximum profit is…

A position that gains when volatility falls Advanced

Long Vega

Long vega is a position whose value rises when the LEVEL of implied volatility rises, independent of whether the underlying actually moves — an exposure t…

Sensitivity to the LEVEL of implied volatility Advanced

Short Vega

Short vega is a position whose value falls when implied volatility rises, giving it a steeply asymmetric exposure in which the entire upside lives in a na…

Negative sensitivity to implied volatility Advanced

Gamma Scalping

Gamma scalping is the practice of holding a delta-hedged long-gamma position and re-hedging it back to flat as the underlying moves, which converts the di…

Converting realised movement into cash Advanced

Delta Hedging

Delta hedging is the practice of holding a position in the underlying that offsets the directional exposure of an option, so that small moves in the spot …

Neutralising directional exposure Advanced

Volatility Arbitrage

Volatility arbitrage is buying an option believed cheap on volatility, or selling one believed expensive, and delta-hedging it so that direction is stripp…

Trading implied against realised volatility Advanced

Dispersion Trading

Dispersion trading is selling volatility on an index and buying it on the index's constituents, a position that profits when the individual names move mor…

Index volatility against constituent volatility Advanced

Calendar Trading Concepts

Calendar trading is taking opposing option positions at the same strike but different expiries, so the trade is not a bet on the level of implied volatili…

Trading the shape of the term structure Advanced

Volatility & Options

Implied volatility enters an option's price through the time-value component, so a change in implied volatility changes the premium of every option that still has time value, with…

IV and Option Premium

IV and option premium are linked through the option's time value: raising implied volatility widens the distribution of possible outcomes and therefore ra…

How IV drives an option's price Beginner

IV and Theta

IV and theta are tied together because a higher implied volatility means more time value to decay away and a wider expected daily move, so an option's the…

How IV drives time decay Intermediate

IV and Vega

IV and vega are connected because vega is the rupees of premium an option gains or loses for a one-percentage-point change in implied volatility, and its …

Sensitivity of premium to a 1-point IV change Intermediate

IV Before Expiry

IV before expiry becomes an increasingly unstable quantity as the at-the-money premium collapses toward zero with the square root of remaining time, so th…

Behaviour of the IV quote as expiry nears Intermediate

IV After Expiry

IV after expiry does not exist, because implied volatility is a property of a specific option contract rather than a continuous quantity attached to the u…

What happens to the IV series at rollover Beginner

IV Around Events

Event IV

IV around events is the predictable arc an option's implied volatility traces as a scheduled announcement approaches: it rises convexly while the uncertai…

The IV life cycle around any scheduled event Intermediate

IV Around RBI Policy

RBI IV

IV around RBI policy is the modest, staged implied-volatility arc surrounding a Monetary Policy Committee decision — mild because the rate move is usually…

IV behaviour around an MPC decision Intermediate

IV Around the Union Budget

Budget IV

IV around the Union Budget is the long, roughly month-long implied-volatility build-up and deep post-speech crush surrounding the government's annual fisc…

IV behaviour around the Union Budget Intermediate

IV Around Election Results

Election IV

IV around election results is the largest scheduled volatility event in the Indian market, building toward roughly 28.5% implied volatility on the eve of …

IV behaviour around a general-election count Advanced

Market Regimes

A volatility regime is a persistent market state characterised by a typical level of volatility and a typical behaviour of it. Volatility clusters, so calm days follow calm days a…

Low Volatility Markets

Low volatility markets are regimes in which daily price moves stay small — realised volatility around 10% annualised — options are cheap, and short-volati…

A calm, low-dispersion regime Beginner

High Volatility Markets

High volatility markets are turbulent regimes of several-percent sessions with no reliable direction — realised volatility around 26% annualised — in whic…

A turbulent, high-dispersion regime Beginner

Trending Markets

Trending markets are regimes of persistent direction with modest daily dispersion, where a run of small same-signed moves compounds into a large total ret…

Persistent direction with moderate daily dispersion Intermediate

Range-bound Markets

Range-bound markets are regimes of oscillation around a centre, where daily volatility can stay high while the multi-month return collapses toward zero — …

Oscillation around a centre Intermediate

Crisis Volatility

Crisis volatility is the behaviour of a market in dislocation — the term structure inverts into backwardation, skew goes vertical, correlation across cons…

Volatility behaviour in a market dislocation Advanced

Mean Reversion in Volatility

Mean reversion in volatility is the persistent tendency of volatility to be pulled back toward a long-run level — around 14% annualised for NIFTY — with e…

The pull of volatility toward a long-run level Intermediate

Volatility Clustering

Volatility clustering is the empirical regularity — noted by Mandelbrot in 1963 and formalised by Engle's ARCH in 1982 — that large price changes tend to …

Persistence of volatility, not of direction Intermediate

A–Z index

Educational content only — not investment advice. See our Risk Disclosure.