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Affine term structure model : ウィキペディア英語版
Affine term structure model

An affine term structure model is a financial model that relates zero-coupon bond prices (i.e. the discount curve) to a spot rate model. It is particularly useful for ''inverting the yield curve'' – the process of determining spot rate model inputs from observable bond market data.
== Background ==

Start with a stochastic short rate model r(t) with dynamics
:
dr(t)=\mu(t,r(t)) \, dt + \sigma(t,r(t)) \, dW(t)

and a risk-free zero-coupon bond maturing at time T with price p(t,T) at time t. If
: p(t,T)=F^T(t,r(t))
and F has the form
: F^T(t,r)=e^
where A and B are deterministic functions, then the short rate model is said to have an affine term structure.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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