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Examining Volga and Vanna from the perspective of Vega's first derivative is quite beneficial.
Volga = ∂Vega/∂Sigma, Vanna = ∂Vega/∂S
Volga corresponds to the Vega at the Vol level.
Vanna corresponds to the Delta at the Vol level.
As the underlying asset moves, the two can offset each other, suggesting a mutual transformation.
Trading Vanna is quite exciting, as it allows for a sense of betting on price movements while maintaining a delta-neutral position.
When you establish your position, you might think it has no Vanna, but once the underlying moves, it appears. And it can be quite significant.
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