基于蒙特卡罗模拟的中国可转换债券估值模型

Yu Liu, Gongqiu Zhang
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摘要

我们通过蒙特卡洛模拟和动态程序设计来解决中国可转换债券(CCB)的定价问题。在每个行权时间,我们利用正股的状态变量对延续值进行回归,然后运用标准的反向归纳法得到直到时间零点的系数,从而得到建行的价格。我们通过模拟对建设银行进行定价,并测试定价过低策略的表现:做多 10 个定价最低的建设银行,并每天进行再平衡。结果显示,该策略的表现明显优于作为基准的双低策略。在实践中,建设银行发行人通常使用向下调整条款来避免认沽条款的财务困境。因此,我们将向下调整条款视为触发认沽拨备的概率事件。这样,我们就可以将向下调整条款与认沽拨备简单地结合起来。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Valuation Model of Chinese Convertible Bonds Based on Monte Carlo Simulation
We address the problem of pricing Chinese convertible bonds(CCB) by Monte Carlo simulation and dynamic programming. At each exercising time, we use the state variables of the underlying stock to regress the continuation value, and then we apply standard backward induction to get the coefficients until the moment of time zero, thus the price of the CCB is obtained. We apply the pricing of CCBs by simulation and test the performance of an under-priced strategy: long the 10 most underpriced CCBs and rebalance daily. The result show this strategy significantly outperforms the double-low strategy which is used as a benchmark. In practice, CCB issuers usually use the downward adjustment clause to to avoid financial distress upon put provision. Therefore, we treat the downward adjustment clause as a probabilistic event triggering the put provision. In this way, we combine the downward adjustment clause with put provision in a simple manner.
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