Understanding Variance Swaps: A Deep Dive into Financial Derivatives and Volatility

Learn what a variance swap is, how it works, and its uses in speculation and hedging on asset volatility.

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

A variance swap functions similarly to a volatility swap, the latter utilizing realized volatility instead of variance.

Key Takeaways

  • A variance swap is a derivative contract involving two parties exchanging payments based on the underlying asset’s price changes, or volatility.
  • Directional traders use these swaps to speculate on future asset volatility. Spread traders bet on the difference between realized volatility and implied volatility while hedge traders use swaps to cover short volatility positions.
  • If realized volatility exceeds the strike, the payoffs at maturity are positive.

How a Variance Swap Works

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

At the contract’s end, the net payoff to the counterparties amounts to a theoretical figure multiplied by the difference between realized variance and a fixed amount of volatility, settled in cash. Due to specified margin requirements in the contract, some payments may occur during the contract’s life if its value moves beyond set limits.

Mathematically, a variance swap involves the arithmetic average of the squared differences from the mean value. The square root of the variance is the standard deviation. Therefore, the payout structure of a variance swap, based on variance rather than standard deviation, will be larger compared to a volatility swap.

A variance swap offers a focused play on an asset’s volatility. While options also allow speculation on an asset’s volatility, they entail directional risk and their pricing is influenced by multiple factors, such as time, expiration, and implied volatility. Consequently, the equivalent options strategy necessitates additional risk hedging. Variance swaps are usually less expensive to implement since the equivalent of an option requires a strip of options.

Types of Users

There are three primary types of users for variance swaps:

  1. Directional Traders: Use these swaps to speculate on the future volatility levels of an asset.
  2. Spread Traders: Bet on the difference between realized volatility and implied volatility.
  3. Hedger Traders: Utilize swaps to cover short volatility positions.

Additional Variance Swap Characteristics

Variance swaps are particularly well-suited for speculation and hedging on volatility. Unlike options, variance swaps do not require additional hedging, such as delta-hedging. Moreover, the payoff at maturity to the long holder of the variance swap is always positive when realized volatility exceeds the strike.

Buyers and sellers of variance swaps should consider that significant jumps in the price of the underlying asset can skew the variance and produce unexpected results.

Related Terms: Derivative, Hedge, Volatility Swap, Plain Vanilla Swap, Net Present Value, Counterparty, Variance, Standard Deviation.

References

Get ready to put your knowledge to the test with this intriguing quiz!

--- primaryColor: 'rgb(121, 82, 179)' secondaryColor: '#DDDDDD' textColor: black shuffle_questions: true --- ## What is a variance swap? - [ ] A financial contract that pays one party an amount based on a stock's dividend. - [ ] An agreement to exchange interest rate payments between two parties. - [x] A derivatives contract that allows the holder to trade future realized variability against current implied variability. - [ ] A type of currency exchange agreement. ## In a variance swap, what does a buyer stand to gain if market volatility increases? - [ ] Nothing, it is unaffected by market volatility. - [ ] Losses, as volatility increases. - [x] Profits, because the settlement depends on the difference between realized and implied volatility. - [ ] Fixed dividends. ## Which financial measure is primarily used to settle a variance swap? - [ ] Fixed Interest Rate - [ ] Currency Exchange Rate - [x] Realized Variance - [ ] Nominal GDP ## What does the "strike price" signify in a variance swap agreement? - [ ] The fixed rate at which one currency is exchanged for another. - [ ] The price at which an option can be exercised. - [ ] The pre-agreed dividend payment on stocks. - [x] The pre-determined level of volatility implied in a variance swap agreement. ## Which financial metric is considered a key input for calculating settlement of a variance swap? - [ ] Interest Rates - [ ] Dividend Yields - [ ] Unemployment Rate - [x] Realized Volatility ## What type of investor would typically engage in a variance swap? - [ ] One seeking fixed dividends - [ ] One trading only in foreign currencies - [ ] One looking for mainstream equity investments - [x] One aiming to hedge against or speculate on market volatility ## How can the payout accuracy for a variance swap be increased? - [x] By calculating variance on a more frequent (e.g. daily) basis - [ ] By locking a fixed interest rate for the length of the swap - [ ] By fixing the currency exchange rate at the start - [ ] By decreasing the underlying stock price ## Why might an investor prefer a variance swap over directly trading options to speculate on volatility? - [ ] Variance swaps require less capital upfront compared to options. - [x] Variance swaps provide a pure play on volatility without directional risk. - [ ] Variance swaps involve less mathematical complexity. - [ ] Variance swaps do not require any understanding of volatility metrics. ## Can variance swaps be considered a type of over-the-counter (OTC) derivative? - [ ] No, they are traded on exchanges like fruits and groceries. - [ ] No, they are government-regulated financial instruments. - [x] Yes, they are typically customized contracts traded over-the-counter. - [ ] Yes, but only during market crash periods. ## What is the primary risk factor for an investor holding a variance swap? - [ ] Appreciation of underlying assets - [ ] Decrease in dividend payouts - [x] Variance in realized volatility compared to predicted volatility - [ ] Fixed interest rate fluctuations