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Calendar Spread

Derivatives & Options · intermediate · CC-BY-4.0

A calendar spread is an options or futures strategy involving the simultaneous purchase of a longer-dated contract and sale of a shorter-dated contract on the same underlying asset and at the same strike price, designed to profit from the differential rate of time decay between the two expirations.

Key takeaways

Explanation

A calendar spread — also called a time spread or horizontal spread — is constructed by selling a near-term option and buying a longer-term option at the same strike. The position is a net debit when calls or puts are used. Because the near-term option decays at a faster rate (theta is highest for short-dated at-the-money options), the position profits from time passing while the underlying remains near the short strike.

The mechanics of pricing are governed by the implied volatility term structure. If near-term implied volatility is elevated relative to longer-dated volatility (a condition common around earnings or macro data releases), the short leg is relatively expensive, improving the spread's economics. Conversely, if the term structure is upward-sloping (long-dated IV > short-dated IV), calendar spreads become more expensive. Practitioners monitor the ratio of front-month to back-month implied vol to assess entry attractiveness.

In futures markets, a calendar spread has a fundamentally different character. The futures calendar spread — the price difference between two contract months — reflects the cost-of-carry model: F(T2) - F(T1) ≈ S × [r + u - y] × (T2 - T1), where S is spot price, r is the risk-free rate, u is storage cost, and y is convenience yield. When physical supply is tight, the spread can flip into backwardation (nearby > deferred), while abundant supply produces contango (deferred > nearby).

Roll-over risk is embedded in calendar spreads for institutional managers. A fund maintaining continuous futures exposure must roll expiring contracts forward; the cost or benefit of that roll is the calendar spread at the time of execution. Commodity trading advisors (CTAs) track roll yield as a significant component of total commodity return.

Practitioners use calendar spreads for targeted event plays (e.g., buying the month after an earnings release while selling the earnings month to capture the vol crush on the short leg), for interest-rate positioning, and for reducing the cost of longer-dated hedges. The strategy's risk is that a large directional move in the underlying can cause both legs to move against the position simultaneously.

Formula

Net Debit = Long-leg Premium − Short-leg Premium; Max Profit ≈ (Vega × ΔIV) + Theta decay on short leg

Example

A portfolio manager believes that a technology company's earnings in three weeks will cause near-term implied volatility (currently at 55%) to collapse post-announcement, while the company's long-term strategic uncertainty keeps three-month IV elevated at 35%. She sells the one-month at-the-money call at $4.20 and buys the three-month at-the-money call at $7.50, paying a net debit of $3.30. If the stock stays near strike through the near-term expiration and implied volatility reverts to 35% across the curve, the short call expires worthless and the remaining long call is worth approximately $5.80, generating a profit of $2.50 per spread (roughly 76% return on the debit paid).

Related terms

At The Money Backwardation Contango Floor Horizontal Spread Implied Volatility Option Prompt Date Risk Free Rate Roll Over Spot Price Stock