Pricing Convertible Bonds with Reset Clauses and Stochastic Interest Rates

被引:0
|
作者
Yang, Jingyang [1 ]
Li, Shenghong [1 ]
机构
[1] Zhejiang Univ, Dept Math, Hangzhou 310017, Zhejiang, Peoples R China
关键词
Convertible bond; Reset clause; Extended Vasicek model; Martingale theory; VALUATION;
D O I
10.1109/BIFE.2009.85
中图分类号
F8 [财政、金融];
学科分类号
0202 ;
摘要
By the martingale theory and transformation of probability measures, this paper obtains the analytical solution of the price of the convertible bond whose conversion price may reset at a predetermined time. The interest rate here follows an extended Vasicek model. In the numerical result, we find that the Monte Carlo method is efficient. Numerical result also shows that the correlated coefficient of the stock price and the interest rate is almost unacted on the price of the convertible bond.
引用
收藏
页码:342 / 345
页数:4
相关论文
共 50 条
  • [1] Pricing Convertible Bonds with Credit Risks and Stochastic Interest Rates
    Xu, Rong
    [J]. DIFFERENCE EQUATIONS, DISCRETE DYNAMICAL SYSTEMS AND APPLICATIONS, 2015, 150 : 167 - 180
  • [2] Binary Tree Pricing to Convertible Bonds with Credit Risk under Stochastic Interest Rates
    Huang, Jianbo
    Liu, Jian
    Rao, Yulei
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [3] Monte Carlo analysis of convertible bonds with reset clauses
    Kimura, T
    Shinohara, T
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2006, 168 (02) : 301 - 310
  • [4] A generalization of reset options pricing formulae with stochastic interest rates
    Li, Shu Jin
    Li, Sheng Hong
    Suna, Chao
    [J]. RESEARCH IN INTERNATIONAL BUSINESS AND FINANCE, 2007, 21 (02) : 119 - 133
  • [5] Pricing convertible bonds
    Batten, Jonathan A.
    Khaw, Karren Lee-Hwei
    Young, Martin R.
    [J]. JOURNAL OF BANKING & FINANCE, 2018, 92 : 216 - 236
  • [6] Numerically pricing convertible bonds under stochastic volatility or stochastic interest rate with an ADI-based predictor-corrector scheme
    Lin, Sha
    Zhu, Song-Ping
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2020, 79 (05) : 1393 - 1419
  • [7] A tree model for pricing convertible bonds with equity, interest rate, and default risk
    Chambers, Donald R.
    Lu, Qin
    [J]. JOURNAL OF DERIVATIVES, 2007, 14 (04): : 25 - 46
  • [8] Pricing Spread Options with Stochastic Interest Rates
    Jin, Yunguo
    Zhong, Shouming
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [9] Option pricing under stochastic interest rates
    Yang, Xiuni
    Yang, Yunfeng
    [J]. 2018 14TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND SECURITY (CIS), 2018, : 461 - 464
  • [10] Modeling the stochastic behavior of short-term interest rates: Pricing implications for discount bonds
    Bali, TG
    [J]. JOURNAL OF BANKING & FINANCE, 2003, 27 (02) : 201 - 228