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J4 ›› 2012, Vol. 47 ›› Issue (9): 110-115.

• 数学 • 上一篇    下一篇

带有股利分配的可分离债券的定价

苗杰   

  1. 昌吉学院数学系, 新疆 昌吉 831100
  • 收稿日期:2011-10-31 出版日期:2012-09-20 发布日期:2012-09-24
  • 作者简介:苗杰 (1978- ), 女,讲师,硕士,研究方向为数理金融.Email:miaojie2005-1997@163.com
  • 基金资助:

    昌吉学院一般资助项目(2011YJYB003);昌吉学院研究群体基金资助项目(2011YJQT01)

The pricing of warrant bond with dividend-paying

MIAO Jie   

  1. Changji College Mathematics Department, Changji 831100, Xinjiang, China
  • Received:2011-10-31 Online:2012-09-20 Published:2012-09-24

摘要:

 假设股票价格服从对数正态分布,股票有红利支付,且无风险利率、股票的收益率、波动率、红利率均为时间的确定性连续函数, 从定量的角度分析了带有股利分配的可分离债券的价值构成,并用鞅方法得到了可分离债券的定价公式。

关键词: 可分离债券; 等价鞅测度; Girsanov定理

Abstract:

Suppose that the stock price follows a log-normal distribution, and the stock has dividend-paying, and the risk-free interest rate, return rate, volatility and dividend rate of the stock are the definite continuous function of time, the value composition of warrant bond with dividend-paying was discussed in a quantitative analysis, the pricing formula of warrant bond was obtained by the Martingale method.

Key words: warrant bond; equivalent Martingale; Girsanov theorem

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