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Quantitative Finance · Glosarium

Apa itu Affine term-structure model?

Definition 7.2 Rates, Credit, XVA and Risk · Bab 7 — Short-Rate Models

A short-rate model is an affine term-structure model if its bond prices are exponential-affine in the state: P(t,T)=exp⁡(A(t,T)−B(t,T) xt)P(t,T) = \exp\bigl(\mathcal A(t,T)-\mathcal B(t,T)\,x_t\bigr) for a state xtx_t (the short rate or a vector of factors) and deterministic functions A,B\mathcal A, \mathcal B. By the Feynman–Kac formula (One Quant Book 4, chapter 4) this holds whenever the drift and the variance of the state are affine in it.

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