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Cross sensitivity
For Vanna, the cross sensitivities are handled by applying the shift formula of both risk factors:
$$ \text{PnL Explain} = f_{\text{marketData2}}(f_{\text{marketData1}}(sens,q_{1},q_{2}),p_{1},p_{2}) $$
Where $q_{n}$ and $p_{n}$ are the market data quotes for a given day $n$ for risk factors $q$ and $p$ respectively.
Currently, cross-bucket sensitivity is not supported.