Skew Vega

link Skew Vega is the exposure of an options portfolio to a change in the implied vol skew, e.g. change in the risk reversal level. While teaching my daughter trigonometry, I realized that using some basic trigonometry, I could easily calculate the Skew vega in the case where there is no functional form (parameterized) volatility surface. Here is a simple and elegant model to calculate the skew vega

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