
It is very important to understand the inter-relationship of delta and price or delta and vega and not just the individual aspects of any of the “greeks”. The deceiving aspect of delta neutral strategies is that they only account for small moves in the underlying. Many traders fail to realize that to really create a neutral position, you have to first neutralize gamma. Delta can then be adjusted to reflect a non-directional bias in the position. It is much easier to adjust Delta after Gamma and not the other way around.
Gamma is what I call the “delta accelerator”. It is a measure of how fast delta changes in response to changes in the underlying instrument. What is the use of a Delta neutral strategy in an extremely volatile environment if your Gamma is not neutralized? That is the main reason less experienced delta neutral traders go wrong and get whacked out of positions in these volatile environments. A delta and gamma neutral strategy has a much better change of remaining neutral. Eventually, both delta and gamma neutral positions can take directional bias if the movement is large enough in the price or implied volatility of the underlying. For profitable non directional trades keep an eye on that Gamma!
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