利用支持向量回归估计利率曲线

Estimating Interest Rate Curves by Support Vector Regression

Econometric Reviews · 2010
被引 1
人大 A-ABS 3

中文导读

提出用支持向量回归(SVR)估计利率曲线,该方法能融入买卖价差并限制曲线形状,实证显示使用无限节点样条核的SVR在交叉验证中表现最佳。

Abstract

A model that seeks to estimate an interest rate curve should have two desirable capabilities in addition to the usual characteristics required from any function-estimation model: it should incorporate the bid-ask spreads of the securities from which the curve is extracted and restrict the curve shape. The goal of this article is to estimate interest rate curves by using Support Vector Regression (SVR), a method derived from the Statistical Learning Theory developed by Vapnik (1995 Vapnik , V. ( 1995 ). The Nature of Statistical Learning Theory . New York : Springer .[Crossref] , [Google Scholar]). The motivation is that SVR features these extra capabilities at a low estimation cost. The SVR is specified by a loss function, a kernel function and a smoothing parameter. SVR models the daily U.S. dollar interest rate swap curves, from 1997 to 2001. As expected from a priori and sensibility analyses, the SVR equipped with the kernel generating a spline with an infinite number of nodes was the best performing SVR. Comparing this SVR with other models, it achieved the best cross-validation interpolation performance in controlling the bias-variance trade-off and generating the lowest error considering the desired accuracy fixed by the bid-ask spreads.

支持向量回归利率曲线买卖价差样条核函数