For an option with price C, the ΔC, with respect to changes of the underlying asset price S and volatility σ (first-order approximation), is given by , where δ, and ν are respectively the delta, and vega greeks. Assuming the asset S and the volatility σ as normal and indipendent, we can calculate the percentual VaR of the option by using a parametric VaR as follows: , where is the portfolio variance: , where σ_s is the underlying S volatility, and σ_sigma is the volatility of implied volatility. How to derive the numeric VaR (in terms of money) ? By multiplying the percentual VaR by the position my portfolio ? What is the latter ? Is it δ S + ν σ ? But I already included delta and vega in the portfolio volatility calculation ?

How to derive numeric option VaR with delta-vega normal approach?
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