Pomegra Wiki

Vega

The vega of an option is the amount by which its price changes for each 1% increase or decrease in implied volatility. A vega of 0.2 means a 1% rise in implied volatility increases the option’s value by $0.20. Both call options and put options have positive vega; higher volatility makes both more valuable because there is greater probability of in-the-money finish. Vega is highest for at-the-money options and nearly zero for deep in-the-money or out-of-the-money options.

How vega works

If you own a call option with a vega of 0.3, and implied volatility rises from 20% to 21% (a 1% increase), the call’s value rises by about $0.30, all else equal.

Vega is always positive for owned options (long calls and puts). Higher volatility is good for option buyers because it increases the probability and potential magnitude of in-the-money finish. Conversely, vega is negative for short options (sold calls and puts). A volatility spike hurts you as a seller.

Both calls and puts have positive vega because both benefit from uncertainty. A call profits if the stock rises sharply; a put profits if it falls sharply. Either way, higher volatility increases the odds of a large move that helps the option.

Vega across moneyness

At-the-money options have the highest vega. Their entire value is time value, which is driven by volatility. A 1% volatility change can swing an at-the-money option 10–20% in value.

In-the-money and out-of-the-money options have lower vega in dollars but often have higher vega as a percentage of the option’s price. An out-of-the-money option worth $0.20 might have a vega of $0.03; a 1% volatility rise is a 15% gain.

Deep in-the-money options have low vega; they behave almost like the stock itself (delta ≈ 1.0), and volatility changes matter little.

Vega and time to expiration

Longer-dated options have higher vega. A 6-month call has more vega than a 1-month call on the same stock, because volatility has more time to move the underlying and affect the option’s payoff.

As expiration date nears, vega declines. On the final day, vega is near zero; the option’s value is nearly deterministic (based on whether it is in or out of the money).

Implied volatility and vega connection

Implied volatility is the market’s forecast of future volatility. It is not directly observable but inferred from option prices using the Black-Scholes model or similar formulas. The relationship runs both ways:

A trader long vega is betting that implied volatility will rise. If it does, the option gains value independent of stock price movement. A trader short vega is betting implied volatility will fall, eroding option values.

Vega trading

Some traders specialize in pure volatility plays, independent of direction. They:

  • Buy straddles or strangles (long calls and puts) to bet volatility rises.
  • Sell straddles/strangles to bet volatility falls.

These positions have net-zero delta (direction-neutral) but large vega exposure.

Vega and volatility smile

Different strikes have different implied volatility levels, creating the volatility smile or volatility skew. Out-of-the-money puts typically have higher implied volatility (higher vega) than at-the-money options, reflecting crash fears. A volatility skew position (long high-vega OTM puts, short ATM vega) can profit from shifts in this skew.

Portfolio vega

Like delta, vega can be summed across a portfolio. If your portfolio has +1000 vega (net long volatility), a 1% volatility spike gains you $1000. A volatility crash loses you $1000.

This is why funds carefully track portfolio vega exposure and often hedge it using variance swaps, VIX options, or other volatility derivatives.

See also

Strategies

  • Straddle — pure vega play (long volatility)
  • Strangle — long volatility, cheaper than straddle
  • Calendar spread — vega gains offset by theta losses
  • Iron condor — short vega

Valuation

Deeper context