Academy / Advanced Strategies / Module 3.6: Implied Volatility Deep Dive

Volatility Term Structure - How IV Changes Across Expirations

Reviewed by Leon Moyer - Published October 9, 2026 - Last reviewed October 9, 2026

In this lesson

Describe a stock's volatility term structure as upward sloping or inverted, explain what usually causes each shape, and calculate the forward volatility implied between two expirations.

The volatility term structure is the pattern of implied volatility across the expirations of one underlying, usually read at the at-the-money strike. When it slopes upward, longer-dated options carry higher implied volatility; when it is inverted, near-term options carry more.

Volatility Skew compared strikes within one expiration. The term structure is the other dimension: one strike, many dates. Together they form the volatility surface, the full grid of implied volatilities a chain carries.

What is the volatility term structure?

Pick the at-the-money strike, read its implied volatility in each expiration, and plot those numbers against days to expiration. That line is the term structure.

Each point answers a different question. A 7-day option's implied volatility is the market's estimate of movement over the next week; a 180-day option's covers half a year. A stock can be expected to be calm over six months and jumpy this week, or the reverse, so the numbers rarely match.

Cboe publishes this curve for the S&P 500 on its VIX term structure page, which shows expectations of market volatility "conveyed by S&P 500 (SPX) stock index option prices" out to each monthly expiration.

What is the difference between an upward sloping and an inverted term structure?

Worked example

Two term structures for a hypothetical XYZ

XYZ trades at $50, and its 30-day at-the-money options are priced at 30% implied volatility. In the free calculator's surface, Term sets the slope: the points added per unit of the square root of years, anchored at 30 days.

Days to expirationUpward sloping (Term 10)Inverted (Term -20)
728.5%33.0%
3030.0%30.0%
6031.2%27.6%
9032.1%25.8%
18034.2%21.7%

Illustrative and hypothetical. The ticker and prices are invented for teaching, and the figures exclude commissions, fees, margin interest and taxes, which reduce real results. Past or hypothetical outcomes do not indicate future results.

Two shapes of the volatility term structure

Hypothetical XYZ 50 calls with the stock at $50 and 30% implied volatility at 30 days. Upward sloping is the calculator's Term setting of 10; inverted is Term -20.
  • Upward sloping (contango). Near-term implied volatility is lower than longer-term. This is the usual shape in calm markets. One explanation is that volatility tends to revert to a long-run average: when it is low today, the market prices some chance of a rise later. Longer-dated options also carry more exposure to events nobody can yet name.
  • Inverted (backwardation). Near-term implied volatility is higher. Something is expected soon: an earnings report, a court ruling, a product launch, or simply a market already in a selloff.

The words come from futures markets. Cboe describes VIX futures as in contango when "near term VIX futures are cheaper than longer term VIX futures" and noted in 2022 the curve had been in contango "more than 80% of the time since 2010," with backwardation appearing "when near-term market conditions have more uncertainty than the longer term" (Cboe: Is VIX Backwardation Necessarily a Sign of a Future Down Market?). VIX futures are not the same as single-stock option implied volatility, but the shapes and their usual causes carry over.

The calculator's Term setting draws a smooth curve. A real earnings inversion is usually a step: the expiration just after the report jumps while later ones barely move.

How does the term structure change option prices?

The term structure moves the price of every expiration except the anchor. Here is a single 90-day option under all three shapes.

The same 90-day call under three term structures

XYZ 50 call, stock at $50, 90 days, per contract. Only the term structure changes: flat (30%), upward sloping (32.1%) and inverted (25.8%).

The 90-day XYZ 50 call costs $324 with a flat 30% curve, $344 when the curve slopes upward to 32.1%, and $283 when it is inverted to 25.8%. The stock, strike and days are identical; only the curve differs.

That spread of $61 matters for any position spanning two expirations. Calendar and diagonal spreads, covered in Course 3's Calendar Spread Explained and Diagonal Spread Explained lessons, buy one expiration and sell another, so they are directly a trade on the shape of this curve.

How do you read an earnings date in the term structure?

An expiration that includes a scheduled event carries the event's expected move inside its implied volatility. Because implied volatility is quoted as an annualized rate, one big day packed into a short expiration lifts its implied volatility a lot, while the same day spread across a longer expiration lifts it less.

You can separate the two with forward volatility: the volatility the market implies for the period between two expirations. In one sentence: forward volatility = the square root of [(long IV squared x long days - short IV squared x short days) / (long days - short days)].

Worked example

What does the market imply for XYZ after earnings?

XYZ reports earnings in four days. The 7-day at-the-money options trade at 60% implied volatility, and the 30-day options at 35%. Both expirations include the report.

  • Long expiration: 0.35 squared x 30 = 0.1225 x 30 = 3.675.
  • Short expiration: 0.60 squared x 7 = 0.36 x 7 = 2.52.
  • Difference: 3.675 - 2.52 = 1.155, divided by the 23 days between them = 0.0502.
  • Square root: about 22.4%.

The market prices XYZ at about 22% volatility for days 8 to 30, once earnings are behind it. The 60% headline number is mostly the event.

Illustrative and hypothetical. The ticker and prices are invented for teaching, and the figures exclude commissions, fees, margin interest and taxes, which reduce real results. Past or hypothetical outcomes do not indicate future results.

Reading an earnings date out of the term structure

Hypothetical XYZ with earnings in four days. Forward volatility = the square root of [(35% squared x 30 - 60% squared x 7) / 23], which is about 22%.

This is the arithmetic behind the IV crush covered in Course 1's IV Crush After Earnings lesson: after the report, the near expiration's implied volatility tends to fall toward the forward level, because the event it was pricing has passed. A trader who buys the 7-day option at 60% needs the stock to move enough to beat that drop. A real forward estimate is rough: it assumes the variance of each period adds up, and the bid-ask spread on short-dated options can be wide.

How do traders use the term structure?

  • Spot the event. A single expiration standing well above its neighbors usually has an event inside it. Find it before trading that expiration.
  • Choose the expiration deliberately. A trade that does not need the event can often use an expiration before it, or one long enough that the event is a small part of its price.
  • Match the curve to time spreads. An inverted curve makes the near expiration rich relative to the far one; an upward-sloping curve does the opposite.
  • Watch the market's curve. Backwardation in VIX futures has often appeared during broad market stress, when hedging is in short-term demand; the Cboe article above cites 2008, 2011, late 2018 and 2020, but notes it does not reliably predict a fall.

Check your understanding

The 30-day options on a stock trade at 25% implied volatility and the 120-day options at 32%. What shape is the term structure?

Show answer

Upward sloping (contango): the longer expiration carries higher implied volatility than the near one.

Why can a 7-day option's implied volatility jump far more than a 60-day option's when earnings are inside both?

Show answer

Implied volatility is annualized. The same one-day expected move is a large share of a 7-day option's life but a small share of a 60-day option's, so it lifts the short expiration's annualized number much more.

A 10-day expiration trades at 50% and a 40-day expiration at 30%, both including the same event. Using the forward volatility formula, is the volatility implied for days 11 to 40 above or below 30%?

Show answer

Below. 0.30 squared x 40 = 3.6 and 0.50 squared x 10 = 2.5. (3.6 - 2.5) / 30 = 0.0367, and its square root is about 19%.

Key takeaways

  • The volatility term structure is implied volatility across expirations, usually at the at-the-money strike.
  • Upward sloping (contango) is the usual calm-market shape; inverted means more movement is expected soon.
  • The same strike can cost very different amounts in different term structures, which is what calendar and diagonal spreads trade.
  • Forward volatility = the square root of [(long IV squared x long days - short IV squared x short days) / (long days - short days)].
  • An expiration standing above its neighbors usually holds an event; forward volatility estimates what is left after it.

Common questions

What is the volatility term structure?

It is the pattern of implied volatility across expiration dates for the same underlying, usually compared at the at-the-money strike. Plotting implied volatility against time to expiration shows whether near-term options are priced at lower or higher volatility than longer-term ones.

What does an inverted volatility term structure mean?

Near-term options carry higher implied volatility than longer-term ones. It usually means traders expect more movement soon than later, for example around an earnings report or during a market selloff, and it often flattens once the event passes.

What is contango in volatility?

Contango describes an upward-sloping curve, where longer-dated contracts are priced higher than near-term ones. Cboe uses it for VIX futures, which it says have been in contango more than 80% of the time since 2010 (as of 2022). Option traders use the same word for an upward-sloping implied volatility term structure.

How do you calculate forward volatility?

Multiply each expiration's implied volatility squared by its days, subtract the shorter from the longer, divide by the difference in days and take the square root. It estimates the volatility the market implies for the period between the two expirations.

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