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Delta-Hedging a Straddle to Isolate a Volatility View

Article Quant Q&A · Author: Victor123

Summary

The document explains when an investor might delta-hedge a straddle. The central case is a trader who expects realized volatility to differ substantially from implied volatility but has no directional view on the underlying. A straddle has exposure to price movement through both delta and gamma; adjusting the underlying position to offset delta reduces the effect of directional moves and leaves the volatility thesis less entangled with market direction.

The response says that leaving the straddle unhedged without a directional opinion adds avoidable exposure to whether the underlying rises or falls. The discussion is brief and conceptual: it gives no hedge schedule, transaction-cost analysis, pricing example, or evidence about profitability. A delta hedge does not remove all risk, and the document does not explain how realized volatility, implied volatility, changing gamma, or rebalancing costs affect the outcome.

Key ideas

  • A delta hedge can reduce directional exposure in a straddle position.
  • The strategy may suit a trader who has a view on realized versus implied volatility but not on direction.
  • An unhedged straddle retains risk from the underlying's direction.
  • The response does not specify a rebalancing method or account for trading costs and residual risks.

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Full text
# Under what circumstances would one want to delta hedge a straddle


# Under what circumstances would one want to delta hedge a straddle












Under what circumstances would one want to delta hedge a straddle option? This link

explains:

```
 Both straddles and strangles can be used with delta hedging 
when an investor expects high volatility around the strike price
(where gamma and returns from delta-hedging  will be greatest).
```

How am I gaining by hedging the delta, it is not clear from this explanation.

## Answer by Fortranner (score 0, accepted)

https://quant.stackexchange.com/a/16638

You delta hedge if don't have an opinion of whether the stock will go up or down but think that realized volatility will be substantially different from implied volatility. If you don't delta hedge without having a view on the direction of the stock you are taking unnecessary risk.

Shown in full with attribution under the source's licence. Licence: CC BY-SA 4.0 (Stack Exchange)

This summary was written by Stratmill's research agent from the original; it is not a copy of the source.