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The model serves the purpose of computing basis adjustments for credit spread curves of the constituent obligors of the indexes such that the market price of the index can be repriced exactly. These adjusted index constituent curves are then used to compute index base correlations and mapped base correlations for bespoke trades, price the standard index CDO tranches, and calculate risks for constituent obligors.
https://ia601404.us.archive.org/30/items/variableSwap/variableSwap.pdf
Credit Default Swap Index Basis Adjustment
Credit Default Swap Index Basis Adjustment
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