## What is a Variance Swap?

A variance swap is a financial derivative used to hedge or speculate on the magnitude of a price movement of an underlying asset. These assets include exchange rates, interest rates, or the price of an index. In plain language, the variance is the difference between an expected result and the actual result.

## Understanding Variance Swaps

Similar to a plain vanilla swap, one of the two parties involved in the transaction will pay an amount based upon the actual variance of price changes of the underlying asset. The other party will pay a fixed amount, called the strike, specified at the start of the contract. The strike is typically set at the onset to make the net present value (NPV) of the payoff zero.

At the end of the contract, the net payoff to the counterparties will be a theoretical amount multiplied by the difference between the variance and a fixed amount of volatility, settled in cash. Due to any margin requirements specified in the contract, some payments may occur during the life of the contract should the contract's value move beyond agreed limits.

The variance swap, in mathematical terms, is the arithmetic average of the squared differences from the mean value. The square root of the variance is the standard deviation. Because of this, a variance swap's payout will be larger than that of a volatility swap, as the basis of these products is at variance rather than standard deviation.

### Key Takeaways

• A variance swap is when two parties hedge on the underlying volatility of an asset. It is similar to an interest rate swap in that two parties exchange payments based on the underlying asset's price changes.
• Directional traders use variance trades to speculate on future levels of volatility for an asset, spread traders use them to bet on the difference between realized volatility and implied volatility, and hedge traders use swaps to cover short volatility positions.
• If realized volatility is more significant than strike, then payoffs at maturity are positive.

A variance swap is a pure-play on an underlying asset's volatility. Options also give an investor the possibility to speculate on an asset's volatility. But, options carry directional risk, and their prices depend on many factors, including time, expiration, and implied volatility. Therefore, the equivalent options strategy requires additional risk hedging to complete. Variance swaps are also cheaper to put on since an options equivalent involves a strip of options.

There are three main classes of users for variance swaps.

1. Directional traders use these swaps to speculate on the future level of volatility for an asset.
2. Spread traders merely bet on the difference between realized volatility and implied volatility.
3. Hedger traders use swaps to cover short volatility positions.