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Quantitative Finance · Begrippenlijst

Wat is Reduced-form model?

Definition 13.1 Rates, Credit, XVA and Risk · Hoofdstuk 13 — Reduced-Form Credit

A reduced-form model of credit makes the default time τC\tau_C of a name the first jump of a counting process with intensity λt\lambda_t (a Poisson process with a time-dependent or random rate; a Cox process of One Quant Book 4, chapter 7, when the intensity is random), without modelling why the firm defaults: P(τC∈[t,t+dt)∣τC>t)=λt dt\P(\tau_C\in[t,t+dt)\mid\tau_C>t) = \lambda_t\,dt and QC(t)=E[e−∫0tλs ds]Q_C(t) = \E[e^{-\int_0^t\lambda_s\,ds}].

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