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...
12 KB (2,599 words) - 00:48, 20 June 2025
Hull–White model. The Vasicek model is also a canonical example of the affine term structure model, along with the Cox–Ingersoll–Ross model. In recent...
8 KB (1,212 words) - 18:51, 26 July 2025
Rutgers University.[permanent dead link] Wibowo A. (2006). Continuous-time identification of exponential-affine term structure models. Twente University....
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In differential geometry, an affine connection is a geometric object on a smooth manifold which connects nearby tangent spaces, so it permits tangent vector...
58 KB (7,693 words) - 14:11, 3 July 2024
value of the T-maturity discount bond has distribution (note the affine term structure here!) P ( S , T ) = A ( S , T ) exp ( − B ( S , T ) r ( S ) )...
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affine transformation is an automorphism of an affine space (Euclidean spaces are specific affine spaces), that is, a function which maps an affine space...
27 KB (3,479 words) - 21:43, 20 July 2025
general equilibrium Feynman–Kac formula Black–Scholes equation Affine term structure modeling Fokker–Planck equation Dupire equation (local volatility)...
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Novikov and Edward Witten. A WZW model is associated to a Lie group (or supergroup), and its symmetry algebra is the affine Lie algebra built from the corresponding...
21 KB (3,665 words) - 10:25, 19 July 2024
referred to as the CIR- and CIR-- models. Hull–White model Vasicek model Chen model "A Theory of the Term Structure of Interest Rates - The Econometric...
14 KB (1,928 words) - 12:13, 25 May 2025
In mathematics, an affine space is a geometric structure that generalizes some of the properties of Euclidean spaces in such a way that these are independent...
48 KB (7,538 words) - 21:07, 12 July 2025
geometries, and abstract closure operators influence the structure of first-order models is called geometric stability theory. If V {\displaystyle V}...
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Short rate models are often classified as endogenous and exogenous. Endogenous short rate models are short rate models where the term structure of interest...
27 KB (3,723 words) - 07:33, 25 June 2025
Substructural type system (redirect from Affine type)
categories. Affine types are a version of linear types allowing to discard (i.e. not use) a resource, corresponding to affine logic. An affine resource can...
13 KB (1,366 words) - 03:20, 21 July 2025
structure and the cross-ratio are preserved under the most general projective transformations. A concept of parallelism, which is preserved in affine...
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equation to price options on stocks and zero-coupon bond prices in affine term structure models. For example, consider a stock price S t {\displaystyle S_{t}}...
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Euclidean space (section Affine structure)
properties of Euclidean spaces result from the structure of affine space. They are described in § Affine structure and its subsections. The properties resulting...
47 KB (6,967 words) - 08:16, 28 June 2025
Gap penalty (section Affine)
length of gaps. The five main types of gap penalties are constant, linear, affine, convex, and profile-based. Genetic sequence alignment - In bioinformatics...
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performed for the parameters of the affine transformation relating the model to the image. The affine transformation of a model point [x y]T to an image point...
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language expressing statements about a mathematical structure), and their models (those structures in which the statements of the theory hold). The aspects...
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Linear regression (redirect from Disturbance term)
values of the explanatory variables (or predictors) is assumed to be an affine function of those values; less commonly, the conditional median or some...
76 KB (10,482 words) - 04:54, 7 July 2025
work on consistency problems for Heath-Jarrow-Morton interest rate models and affine processes and applications in finance. From 2002 to 2003 he was an...
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features, and then uses RANSAC to find the affine projection matrix which best fits the unified object model to the 2D scene. If this RANSAC approach has...
8 KB (1,006 words) - 02:19, 3 May 2022
the affine connection as the fundamental structure field rather than the metric tensor which was the original focus of general relativity. Affine connection...
16 KB (2,024 words) - 18:47, 29 December 2024
Higgs mechanism (redirect from Abelian Higgs model)
Nambu involving the "vacuum structure" of quantum fields in superconductivity. A similar but distinct effect (involving an affine realization of what is now...
56 KB (6,703 words) - 02:22, 12 July 2025
Scheme (mathematics) (section Affine space)
variety (not embedded in projective space), by gluing affine varieties along open subsets, on the model of abstract manifolds in topology. He needed this...
44 KB (7,139 words) - 07:51, 25 June 2025
Projective space (section CW complex structure)
be viewed as the extension of a Euclidean space, or, more generally, an affine space with points at infinity, in such a way that there is one point at...
37 KB (5,670 words) - 20:15, 2 March 2025
Glossary of algebraic geometry (redirect from Affine cover)
point. For example, the point associated to the zero ideal for any integral affine scheme. F(n), F(D) 1. If X is a projective scheme with Serre's twisting...
82 KB (12,496 words) - 15:44, 24 July 2025
x_{1})} after every Real NVP layer. In generative flow model, each layer has 3 parts: channel-wise affine transform y c i j = s c ( x c i j + b c ) {\displaystyle...
56 KB (9,669 words) - 03:08, 27 June 2025
wire-frame model allows for the visualization of the underlying design structure of a 3D model. Traditional two-dimensional views and drawings/renderings can...
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Discrete mathematics (redirect from Discrete structure)
taking the spectra of polynomial rings over finite fields to be models of the affine spaces over that field, and letting subvarieties or spectra of other...
26 KB (2,772 words) - 07:11, 22 July 2025