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They cannot be coputed directly. It is a static model. You can estimate the Greeks by shifting the market-data inputs, but there are no analytic formulas. Since most firms calculate Greeks by shifting data, regardless of the availability of analytic formulas, this is not a bad possibility. The difficult part is determining which sensitivities you may want to hedge against.

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Q: How do you compute the Greeks within the Gaussian copula CDO valuation model?
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