基于共轭几何变换程序的国债市场利率期限结构波动建模  

Volatility Model on Term Structure of Interest Rate in T-bill Maket Based on Dual Geometric Tranformation Program

作　　者：吴泽福[1] 

机构地区：[1]华侨大学工商管理学院,福建泉州362021

出　　处：《运筹与管理》2013年第3期179-184,共6页Operations Research and Management Science

基　　金：国家自然科学基金资助项目(70573033);教育部规划基金(12JA630068);泉州市哲社规划项目(2012Y04)

摘　　要：本文变革已有的利率期限结构模型估计依赖于定价误差平方和最小化原则,引入几何双重变换程序解决非线性约束的误差绝对距离最小化问题,丰富国债市场利率波动和定价研究的理论体系和研究方法;运用负指数平滑立方L1样条优化模型,克服B样条函数对节点数目与定位的过度敏感和放宽对贴现函数的二阶导数平滑要求,协同拟合误差绝对距离与贴现函数波动率最小化,保留B样条函数刻画中长期利率波动趋势的优势,增强对短期利率波动结构突变的估计、定价和预测能力,缓解B样条和NSS模型在利率期限结构拟合存在的过度波动问题。Based on the minimization principle of quadratic sum on pricing error for term structure of interest rate （TSIR） , we introduce a geometric transformation program to solve optimization of absolute value on pricing error with nonlinear constraints, which enriches theory framework and research methods on pricing and volatility of in- terest rate in T-bill Market. To overcome excessive sensitivity of B-spline＇ s node distribution and C2 smoothness condition of discount function, we introduce negative exponential smoothness cubic L1-spline optimization model with optimal constraint of absolute value of estimate error and second derivative of discount function, to increase the estimate, pricing and prediction ability of short-term interest rate＇ s volatility structure mutation, improve the advantage on depicting the medium or long term interest rate volatility trend, and reduce the excessive volatility of TSIR estimate based on NSS model and B-spline.

关 键 词：国债市场 利率期限结构 几何变换程序 波动 

分 类 号：F830[经济管理—金融学]