A volatility swap is an over-the-counter derivative contract in which two counterparties exchange a payment based on the difference between the realized volatility of an underlying asset over a specified period and a pre-agreed fixed volatility rate, called the volatility strike. The buyer of realized volatility receives a payment if actual market volatility exceeds the strike. The seller pays if realized volatility falls short. Volatility swaps allow traders and portfolio managers to take a direct position on market volatility without the delta and gamma complications that come with options strategies.
Think of a volatility swap as betting on how turbulent a market will be, rather than on which direction prices will move.
At contract maturity, the settlement amount is calculated as the notional amount multiplied by the difference between realized volatility and the volatility strike.
Settlement = Notional × (Realized Volatility - Strike Volatility)
For example, a volatility swap on the S&P 500 with a $1 million notional, a strike volatility of 18%, and a realized volatility of 24% over the contract period settles with a $60,000 payment to the long volatility position ($1 million × 6% = $60,000). If realized volatility comes in at 15%, the long position pays $30,000 to the short position.
Realized volatility is calculated as the annualized standard deviation of daily log returns over the contract period, typically using 252 trading days per year.
Volatility swaps are closely related to variance swaps but differ in one important way: the payoff is linear in volatility for a volatility swap and linear in variance for a variance swap. Variance is the square of volatility. Because of the squaring relationship, variance swaps have a convex payoff profile relative to volatility, meaning variance swaps benefit more from large volatility spikes than volatility swaps of equivalent notional. This convexity also makes variance swaps more tractable to replicate using a portfolio of options, which is why variance swaps are more liquid and more commonly traded than volatility swaps in practice.
The fair strike on a variance swap is typically set slightly above the fair strike on an equivalent volatility swap to compensate the short variance position for this convexity disadvantage.
Portfolio managers use long volatility swaps as a hedge against equity market stress. During sharp market selloffs, realized volatility typically spikes well above the pre-agreed strike, generating a positive payoff for the long volatility position that partially offsets portfolio losses. This makes volatility swaps an alternative to options-based hedging strategies, with the advantage of eliminating the delta hedging requirement that options demand.
Volatility traders who believe implied volatility, the market's forward-looking estimate of future volatility priced into options, is overpriced relative to actual future volatility sell volatility swaps. They collect the spread between the implied volatility strike and the lower actual realized volatility, a strategy called short volatility or volatility selling.
The CBOE Volatility Index, or VIX, represents the market's 30-day forward expectation of S&P 500 volatility derived from options prices. It serves as the industry benchmark for equity implied volatility. When the VIX trades at 20 and a volatility swap is struck at 20, the long position breaks even if realized volatility over the next 30 days averages exactly 20%. The VIX has historically averaged approximately 20% over long periods but spikes sharply during market crises: it peaked at 82.69 in March 2020 during the pandemic onset and reached levels above 40 during the 2022 Federal Reserve tightening period.