潘坚, 肖庆宪. 混合模型下具有动态违约边界的债券定价[J]. 应用概率统计, 2019, 35(1): 28-38. DOI: 10.3969/j.issn.1001-4268.2019.01.002
引用本文: 潘坚, 肖庆宪. 混合模型下具有动态违约边界的债券定价[J]. 应用概率统计, 2019, 35(1): 28-38. DOI: 10.3969/j.issn.1001-4268.2019.01.002
PAN Jian, XIAO Qingxian. Pricing Corporate Bond with Dynamic Default Barrier Based on a Hybrid Model[J]. Chinese Journal of Applied Probability and Statistics, 2019, 35(1): 28-38. DOI: 10.3969/j.issn.1001-4268.2019.01.002
Citation: PAN Jian, XIAO Qingxian. Pricing Corporate Bond with Dynamic Default Barrier Based on a Hybrid Model[J]. Chinese Journal of Applied Probability and Statistics, 2019, 35(1): 28-38. DOI: 10.3969/j.issn.1001-4268.2019.01.002

混合模型下具有动态违约边界的债券定价

Pricing Corporate Bond with Dynamic Default Barrier Based on a Hybrid Model

  • 摘要: 在混合模型下,研究了具有动态违约边界的公司债券定价问题.首先利用风险中性定价原理建立此定价问题的数学模型. 然后,应用函数代换技巧和偏微分方程镜像法给出模型的显式解. 最后,通过一个算例分析动态违约边界对公司债券价格的影响. 结果表明:通过调整违约边界的相关参数值, 可以得到不同形状的债券价格曲线,进而控制风险或得到更高的债券收益率.

     

    Abstract: In this paper, a pricing problem for corporate bond with dynamic default barrier is studied under a hybrid model. Firstly, a mathematical model for the pricing problem is set up by applying risk-free equilibrium principle. Then, a closed-form formula for the pricing model is obtained by using the variable transformation technique and the image method, which extends the relevant literature's results. Finally, a numerical experiment is presented to analyze the effect of the dynamic barrier on the bond price. Our studies show that the different shape curve of a bond's price can be obtained by adjusting the relevant parameter on the default boundary, and then can control the risk or get a higher bond's yield

     

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