What is the vega of a variance swap?
The vega notional represents the average P&L for a 1% change in volatility. The variance swap payout, expressed in vega notional, is locally linear around the strike. The P&L of a variance swap is often expressed in terms of vega notional.
How is vega notional calculated?
Variance swaps typically have a notional amount quoted in approximate Vega terms (a dollar value per volatility point). For example, 100,000 USD vega notional. Given any strike (quote in volatility, eg 15%), you can determine the variance notional: Variance Amount = Vega Notional / Strike*2.
What does vega notional mean?
The Vega notional is the approximate cash gain or loss for a 1% difference between the volatility strike (based on the implied volatility in at-the-money option on the underlying) and realized volatility over the life of the volatility swap (really a forward contract on volatility).
Are variance swaps exchange traded?
A variance swap is a derivative contract in which two parties exchange payments based on the underlying asset’s price changes, or volatility.
Why Vega is highest at the money?
Vega is the highest when the underlying price is near the option’s strike price. Vega declines as the option approaches expiration. The more time to expiration, the more Vega in the option.
How do you calculate Vega of a portfolio?
To calculate the vega of an options portfolio, you simply sum up the vegas of all the positions. The vega on short positions should be subtracted by the vega on long positions (all weighted by the lots). In a vega neutral portfolio, total vega of all the positions will be zero.
How does variance swap work?
How a Variance Swap Works. Similar to a plain vanilla swap, one of the two parties involved in a var swap 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.
What is Vega risk?
Vega measures the risk of changes in implied volatility or the forward-looking expected volatility of the underlying asset price. While delta measures actual price changes, vega is focused on changes in expectations for future volatility.
What is considered a high Vega?
A high vega option — if you want one — generally costs a little more than an out-of-the-money option, and has a higher-than-average theta (or time decay). Lower-vega options that are out of the money are dirt cheap, but not all that responsive to price changes in the underlying stock or index.
What are varivariance swaps?
Variance swaps are instruments which offer investors straightforward and direct exposure to the volatility of an. underlying asset such as a stock or index. They are swap contracts where the parties agree to exchange a pre-agreed. variance level for the actual amount of variance realised over a period.
How to calculate the variance Vega of a portfolio of options?
The variance vega of a portfolio of options that replicates the variance swap payoff must be independent of the underlying price. To achieve this, each option has to be weighted by the inverse of the strike squared. The following graph shows the variance vega of such a portfolio: the sum of the above options, weighted appropriately.
What happens when you sell a variance swap?
Similarly, selling a variance swap is like being short volatility. However variance swaps are convex in volatility: a long position profits more from an increase in volatility than it loses from a corresponding decrease. For this reason variance swaps normally trade above ATM volatility.
How do you replicate a volatility swap with unit notional?
An approximate strategy replicates a volatility swap with unit notional by a variance swap with notional of 1/ (2. Kvol ), where Kvol is the volatility strike of the volatility swap.
