期刊文献+

Analysis of exercise boundary of American interest rate option

Analysis of exercise boundary of American interest rate option
下载PDF
导出
摘要 By applying the variational inequality technique, we analyzed the behavior of the exercise boundary of the American-style interest rate option under the assumption that the interest rates obey a mean-reverting random walk as given by the Vasicek model. The monotonicity, boundedness and C^∞-smoothness of the exercise boundary are proved in this paper. By applying the variational inequality technique, we analyzed the behavior of the exercise boundary of the American-style interest rate option under the assumption that the interest rates obey a mean-reverting random walk as given by the Vasicek model. The monotonicity, boundedness and C^∞-smoothness of the exercise boundary are proved in this paper.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2008年第3期409-420,共12页 应用数学和力学(英文版)
基金 the National Natural Science Foundation of China(Nos.10371045 and 10671075) the Natural Science Foundation of Guangdong Province(No.5005930) the Special Doctoral Program Foundation for Institution of Higher Education(No.20060574002)
关键词 interest rate options exercise boundary variational inequality interest rate options, exercise boundary, variational inequality
  • 相关文献

参考文献10

  • 1Jiang Lishang.Well-posedness for a free boundary problem of a nonlinear parabolic equation[].Acta Mathematica Sinica.1962
  • 2Jiang Lishang.Existence and differentiability of the solution of a two-phase Stefan problem for quasi-linear parabolic equations[].Acta Mathematica Sinica.1965
  • 3Wilmott P.Derivatives,the theory and practice of financial engineering[]..1998
  • 4Vasicek O A.An equilibrium characterization of the term structure[].Financial Economy.1977
  • 5Alobaldi G,Mallier R.Interest rate options close to erpiry[].SUT Journal of Mathematics.2004
  • 6Samuelson P A.Rational theory of warrant pricing[].Industrial Management.1965
  • 7Jiang Lishang,Bian Baojun,Yi Fahuai.A parabolic variational inequality arising from valuation of fixed rate mortgages[].European J Appl Math.2005
  • 8Cannon J R.The one-dimensional hear equation[]..1984
  • 9Friedman A.Variational principle and free boundary problems[]..1982
  • 10Gilbarg D,Trudinger N.S.Elliptic partial differential equations of second order[]..1983

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