What is a Dispersion Trade? Definition, Formula, and Example

A dispersion trade sells index variance and buys single-stock variance, profiting when index components move more independently than option prices imply.

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What is a Dispersion Trade?

A dispersion trade is a volatility strategy that sells options or variance swaps on a stock index while buying options or variance swaps on the individual stocks in that index. The trader profits when the realized movement of the index is smaller than the combined movement of its components. In other words, the trade bets that stocks will disperse, or move independently, rather than march in lockstep. It is a direct expression of a view on implied correlation: the trader is effectively short correlation and long idiosyncratic volatility.

How a Dispersion Trade is Structured

The standard dispersion structure is:

Short index options (typically straddles or strangles) or short index variance swaps
Long single-stock options on the heaviest index components, weighted to match index exposure

The notional of the single-stock leg is calibrated so that the portfolio is vega-neutral or delta-neutral at inception. Profit and loss depends on the difference between realized index volatility and the weighted average realized volatility of the components:

P&L ≈ Index Vega × (Realized Index Vol − Implied Index Vol) − Σ Single-Stock Vega × (Realized Single-Stock Vol − Implied Single-Stock Vol)

When single stocks move a lot but the index does not, the long single-stock variance pays off while the short index variance expires with little loss.

Worked Example

A trader expects low correlation in the Nasdaq 100 after a mixed earnings week. She sells 100 at-the-money straddles on the QQQ ETF expiring in 30 days for a total premium of $500,000. She buys straddles on AAPL, MSFT, NVDA, and AMZN for a combined $400,000, sizing the notional to match the QQQ delta exposure.

Over the next month, NVDA moves 12% on earnings and AAPL moves 8%, but QQQ only moves 3% because other components offset. The single-stock straddles gain $700,000 in value while the short QQQ straddles lose only $200,000. Net profit is approximately $100,000 before transaction costs and margin. If instead all four stocks had moved in the same direction by 5%, the index straddle would have moved sharply and the trade would have lost money.

When Traders Use It

Dispersion trades are typically placed around earnings seasons, index rebalances, or macro events where cross-sectional dispersion is expected to exceed index movement. They are common among volatility hedge funds and market makers who have access to single-stock options across the index. Retail traders can approximate the trade using ETF options and individual stock options, though margin requirements and bid-ask spreads make it capital intensive. the live scanner

Limitations and Common Misconceptions

The trade is not a bet on market direction; it is a bet on co-movement. A strong directional move in the index can overwhelm single-stock gains and produce large losses. The trade also suffers from gap risk: if one component gaps 20% on news, the long option leg may not capture the full move due to implied volatility crush. Margin requirements can spike during volatile periods, forcing early unwinds. Traders should not assume dispersion is always profitable when correlation falls; implied volatility must also behave as expected.

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