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In this paper, we give a financial justification, based on no-arbitrage conditions, of the (H)-hypothesis in default time modeling. We also show how the (H)-hypothesis is affected by an equivalent change of probability measure. The main technique used here is the theory of progressive enlargements of filtrations. [ABSTRACT FROM AUTHOR]

We propose and examine a simple model for credit migration and spread curves of a single firm both under real-world and risk-neutral measures. This model is a hybrid of a structural and a reduced-form model. Default is triggered either by successive downgradings of the firm or an unpredictable jump of the state process. The default time is accordingly decomposed into predictable and totally inaccessible part. [ABSTRACT FROM AUTHOR]