股票价格服从跳-扩散过程的下降敲出买入期权定价模型

本文讨论了一种新型期权-下降敲出买入期权定价问题.建立了由Possion跳-扩散过程驱动下的股票价格行为模型.在此模型下,推导出一种欧式下降敲出买入期权的定价公式.     

r=q时美式期权最佳实施边界在到期日附近的渐近展开

利用美式期权的性质及最佳实施边界S(t)满足的非线性积分方程得到S(t)的先验估计,然后利用此先验估计将对S(t)的渐近展开转化为满足方程VE(S,t)=K-S的S(t)的渐近展开,最后得到利率r与红利率q相等时美式期权最佳实施边界在到期日附近的渐近展开．     

考虑即时采购价格的物流服务供应链优化

物流服务市场的不确定性会影响物流服务供应链的服务水平和收益。在考虑随机即时采购价格以及基础物流提供商在正常情况和应急情况下具有不同物流能力投资成本的情形下,引入期权机制研究不确定市场环境下物流服务供应链的优化决策,以提高物流服务供应链柔性和降低市场不确定性带来的风险。构建物流服务供应链的期权契约模型,采用Stackelberg博弈理论和优化算法分析和求得物流服务集成商的最优期权采购和即时采购策略,以及基础物流提供商的最优物流能力投资策略。结果表明即时采购价格将影响基础物流提供商和物流服务集成商的决策。最后通过数值分析研究即时采购价格的不确定程度对物流服务集成商和提供商的优化策略和利润的影响。     

基于CVaR测度和期权市场化定价的供应链协调研究

本文基于条件风险值(CVaR)和期权市场化定价规则,研究了具有风险规避特性的销售商和风险中性的供应商组成的供应链系统的协调问题。首先,利用CVaR风险测度工具建立了包含风险厌恶系数的销售商目标函数,得出了满足供应链协调的期权参数之间的关系。之后又根据Black-Schoels(B-S)模型得到满足市场化定价规则的期权参数之间的关系。通过联立上述两个条件证明了存在既满足供应链协调条件又满足期权市场化定价规则的期权定价组合(o^*,e^*),说明满足市场化定价规则的的期权契约能很好地协调风险规避型供应链。另外,文章还分析了模型中主要参数对该期权定价组合以及供应链各方利润的影响。最后,以数值分析的方式探讨了各参数实际对供应链系统运作效率的影响程度。     

可转包两台流水作业机排序的近似算法

研究可转包的两台流水作业机排序问题, 目标是极小化最大完工时间和总外包费用之和. 首先给出最坏情况界为2的近似算法, 接着对工件满足有序化约束的情形给出最坏情况界为\frac{3}{2}的改进算法, 以上算法界均为紧界.     

Valuing virtual production capacities on flow commodities

As a result of storability restrictions, the price risk management of flow commodities (such as natural gas, oil, and electrical power) is by no means a trivial matter.To protect price spikes, consumers purchase diverse swing-type contracts, whereas contract writers try to hedge themselves by appropriate physical assets, for instance, using storage utilities, through transmission and/or production capacities. However, the correct valuation of such contacts and their physical counterparts is still under lively debate. In this approach, an axiomatic setting to discuss price dynamics for flow commodity contracts is suggested. By means of a minimal set of reasonable assumptions we suggest a framework where the standard change-of-numeraire transformation converts a flow commodity market into a market consisting of zero bonds and some additional risky asset. Utilizing this structure, we apply the toolkit of interest rate theory to price the availability of production capacity on a flow commodity.This research is supported by the Swiss Innovation Promotion Agency KTI/CTI.     

IMPACT OF OPERATING COSTS ON INVESTMENT STRATEGIES IN NEW TECHNOLOGY ADOPTION WITH A FURTHER NEW TECHNOLOGY ANTICIPATED

The adoption of new technologies often represents a crucial component of firms＇ investment decisions. This paper studies a dynamic duopoly model in which two firms compete in adoption of current technology with a further new technology anticipated. Here it is assumed that the operating costs are not zero which has more explanatory power of the real world. There exist three kinds of equilibria that may occur in adoption of current technology, which mainly depends on the level of operating costs and the first-move advantage. It shows that the faster technological substitution or innovation encourages the leader to invest earlier while induces the follower to invest later. Furthermore,like the investment costs,with the increase of operating costs the follower tends to invest later while the leader tends to invest earlier ,the investment thresholds are more sensitive to the change of operating costs than that of investment costs.     

A reduced form model for ESO valuation

In this paper we extend a reduced form model for the valuation of employee share options (ESOs) to incorporate employee departure, and company takeover. We also allow for performance linked vesting and other exotic features specific to ESOs. We clarify the assumptions underlying the reduced form model, and discuss their implications. We analyze the probabilistic structure of the model which includes an explicit characterization of the set of equivalent martingale measures, as well as the computation of the variance optimal martingale measure and the minimal martingale measure. Moreover, we deduce an additive decomposition of the relative entropy. Particular ESO specifications are studied emphasizing different aspects of the proposed framework. In this context, we also provide strict no-arbitrage bounds for ESO prices by applying optimal stopping. Furthermore, possible limitations of the proposed model are explored by examining departures from the crucial assumptions of no-arbitrage, i.e. by considering the effects of the employee having inside information.     

美式债券期权定价熵模型

基于熵定价理论,结合美式期权解析近似求解的G eske-Johnson方法,构建了美式债券期权定价熵模型,给出了标的资产为零息票债券和息票债券的美式期权估值的解析近似计算公式,并展示了具体的算法步骤.     

Approximate valuation of average options

This paper concerns the valuation of average options of European type where an investor has the right to buy the average of an asset price process over some time interval, as the terminal price, at a prespecified exercise price. A discrete model is first constructed and a recurrence formula is derived for the exact price of the discrete average call option. For the continuous average call option price, we derive some approximations and theoretical upper and lower bounds. These approximations are shown to be very accurate for at-the-money and in-the-money cases compared to the simulation results. The theoretical bounds can be used to provide useful information in pricing average options.