期刊文献+

拟径向基函数法在公司债券风险衡量中的应用

QUASI-RADIAL BASIS FUNCTIONS METHOD AND ITS APPLICATIONS IN RISK MEASURE OF CORPORATE BONDS
下载PDF
导出
摘要 本文应用拟径向基函数法(Q-RBFS)求解基于风险债券定价的Black-Scholes方程,并采用了特殊的方法降低系数矩阵的条件数来解决由于不断循环求解方程组所积累的误差,得到精确度较高的数值近似解,实现了债券风险定价. Q-RBFS method is applied to solve the Black-Scholes equation, which is deduced from pricing of corporate bonds. According to the feature of linear ill-condition equations, a special means is used to reduce the condition number of the resultant matrixes to deal with the big error accumulated by the repeating solution for the pricing of corporate bonds equation. Then we can get an accurate numerical solution of the equation.
出处 《经济数学》 2008年第1期19-23,共5页 Journal of Quantitative Economics
基金 国家自然科学基金资助项目(No.10471109) 教育部留学归国基金项目[2004]527
关键词 BLACK-SCHOLES模型 风险溢价 径向基函数 Black-Scholes model, the risk premium, Q-RBFS
  • 相关文献

参考文献6

  • 1Stampfli, J. and Goodman, V. The Mathematics of Finance: Modeling and Hedging [M]. Beijing: China Machine Press, 2004,221 - 234. 被引量:1
  • 2Wendland, H. ,Meshless Galekin method using radial basis functions [J]. Math. Comput. 1999,68(228), 1521 - 1531. 被引量:1
  • 3Hon, Y. C., Quasi-radial basis functions method for American options pricing [J]. Computer and Mathematics with Application, 2002,43 : 513 - 524. 被引量:1
  • 4Buhmann, M.D. ,A new class of radial basis functions with compact support [J]. Math. Comput.2000,70(233), pp. 307 - 318. 被引量:1
  • 5Franke, C. and Schaback, R. ,Solving partial differential equations by collocation using radial basis functions [J]. Appl. Math. Comput . 1998,93:73 - 82. 被引量:1
  • 6Golub, G.H. and Van Loan, C.F. Matrisx Computation [ M]. Baltimore: The Johns Hopkins University Press, 1996, 218 - 225. 被引量:1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部