销售努力及双市场化期权下的三级供应链协调

本文针对需求随机且受到零售商销售努力影响的情况,研究了由制造商、分销商和零售商组成的三级供应链的协调问题。文章首先用双期权契约对三级供应链进行协调,即在制造商和分销商以及分销商和零售商之间都采用期权契约,发现在零售商独自承担努力成本的情况下仅通过双期权契约无法协调供应链。因此在双期权契约的基础上加入了努力成本共担契约,发现当期权价格满足某种线性关系以及零售商努力成本按特定比例分摊时,联合双期权契约和努力成本共担契约能顺利协调供应链。在此基础上,文章还引入了期权的市场化定价规则,研究了期权采用市场化定价规则对供应链协调产生的影响,研究表明,引入期权市场化定价规则增加了供应链协调需要满足的条件,降低了协调的可能性,且协调状态下的期权价格受到市场因素如利率、价格波动率等的影响。最后,文章给出了期权市场化定价规则下供应链协调的条件以及参数变化对协调的影响。     

信用风险下的变化类型权证期权定价

主要利用公司价值模型将信用风险引入到变化类型权证期权定价中,通过鞅和概率的方法,推导出信用风险下的变化类型权证期权的定价公式,给出了更切合实际的期权定价.     

随机波动率下股价服从O-U过程的期权定价

假设股票价格遵循指数O-U过程,利用随机分析中的鞅方法,得到了具有随机波动率的欧式期权的定价公式,推广了B-S模型.     

VISCOSITY SOLUTIONS OF HJB EQUATIONS ARISING FROM THE VALUATION OF EUROPEAN PASSPORT OPTIONS

The passport option is a call option on the balance of a trading account. The option holder retains the gain from trading, while the issuer is liable for the net loss. In this article, the mathematical foundation for pricing the European passport option is established. The pricing equation which is a fully nonlinear equation is derived using the dynamic programming principle. The comparison principle, uniqueness and convexity preserving of the viscosity solutions of related H J13 equation are proved. A relationship between the passport and lookback options is discussed.     

The regularity of the free boundary for strike reset option

A strike reset option is an option that allows its holder to reset the strike price to the prevailing underlying asset price at a moment chosen by the holder. The pricing model of the option can be formulated as a parabolic variational inequality and the optimal reset strategy is the free boundary. The smoothness of the free boundary in some cases was showed in our article published in JDE. We would prove its smoothness in the other case in this paper by a generalized comparison principle for the variational inequality.     

THE REGULARITY OF THE FREE BOUNDARY FOR STRIKE RESET OPTION

A strike reset option is an option that allows its holder to reset the strike price to the prevailing underlying asset price at a moment chosen by the holder. The pricing model of the option can be formulated as a parabolic variational inequality and the optimal reset strategy is the free boundary. The smoothness of the free boundary in some cases was showed in our article published in JDE. We would prove its smoothness in the other case in this paper by a generalized comparison principle for the variational inequality.     

不确定的时间范围下含期权的最优投资决策

不同于以往研究的含期权的最优投资消费决策,研究了不确定的时间范围下含期权的最优投资决策,运用动态规划原理和随机分析的方法,解决对应的最优控制问题,最优策略可通过对应的HJB方程得到,并显式地得到了HARA效用下的最优投资策略及最优财富过程.     

期权定价新型二叉树参数模型的构造

对目前普遍使用的期权定价二叉树模型的缺陷进行了分析,利用矩法构造出新型的二叉树参数模型.新的模型避免了负的概率并且具有很高的计算精度,因而可应用于计算各种期权的价格.     

实物期权方法在自主创新项目投资决策中的应用

传统的投资决策方法由于蕴含着不确定性和可逆转性的假设使其不适应于高风险、高收益并存的自主创新项目投资决策.将实物期权思想融入自主创新项目投资决策方法,考虑了项目由于柔性经营的期权价值,能更准确地反映项目的价值,从而提高投资决策的科学性和合理性.从实物期权理论的基本原理出发,通过具体实例对比说明实物期权方法应用于自主创新项目投资决策的优势.     

Black-Scholes期权定价的风险(英文)

Black-Scholes期权定价的推导假定对冲是连续的以达到无风险. 但事实上, 股市收市后将不再有交易, 所以投资者不能连续的调整其投资组合, 故期权定价的风险是存在的. 本文讨论了这种不连续对冲带来的期权定价的风险, 并以美国股市的几种指标股为例, 给出其比率. 比率多在5%以上, 有的可以达到38%, 可见传统期权定价的风险不容小觑.