多次投资情况下企业最优容量投资策略研究

与仅考虑一次投资机会情况不同,研究分析了多次投资机会对企业最优容量投资策略的影响,利用实物期权方法建立了企业投资时机和容量选择模型.研究结果表明当拥有较多的投资机会时,企业将会拥有较大的容量投资期权,并会提前实施投资,而且最终投资达到的容量规模也越大.     

企业的进入与研究开发策略

现有文献大都只考虑企业进入某项目的等待投资的期权. 而实际上,企业进入某项目后, 还具有研究与开发的实物期权. 通过建立新的模型,本文在此考虑了这种研究与开发的实物期 权,分析得出了企业进入某项目的最优时机及进入后进行研究与开发的最优时机,同时也得到 了等待投资和研究与开发这两种实物期权的价值. 进一步得到了企业的最优进入策略与企业 所具有的研究开发期权无关,但该项目的等待投资的期权价值与研究开发期权正相关.     

寡头发电商投资阈值与容量选择模型及其分析

发电容量投资不足或过剩都将带来巨大经济与社会损失.论文针对不确定需求下的电力市场,在分析了容量约束下的寡头发电商竞价策略基础上,运用实物期权和博弈论思想,构建了寡头发电投资阈值与容量选择模型,并通过数值仿真给出了投资商的投资阈值与最优投资容量,分析结果表明:1)随投资商数量的增加,投资阈值下降,但最优的投资容量也随之下降;若需求不确定性增大,投资阈值与最优容量则随之增大;2)就整个电力市场而言,在发电商数量比较少时,电力市场效率较低,但电力供给充裕;而在发电商数量较多时,市场效率较高,但电力供给却较为紧张.     

期权理念在风险投资决策中的应用

NPV方法是目前被普遍用来评价风险投资项目经济价值的方法,然而,这种方法忽视投费时机的最优选择问题.对此,本文分析了投资机会价值的期权特性,并构建了一个风险投资项目投资的时机选择模型,为风险投资决策提供了一种新的投资分析工具.     

委托代理框架下项目投资的最优合同设计

在不确定的市场环境下,企业的投资机会具有期权特点。本文在委托代理框架下,研究实物期权投资中的最优合同设计问题。考虑一个委托代理制的企业,委托人拥有推迟项目投资的期权,授予代理人执行该投资期权。信息不对称下,代理人有隐藏信息转移现金流的动机。为了实现自身利益的最大化,委托人设计合同,在该合同下,代理人将揭示真实的信息。在信息对称与信息不对称的情形下,分别建立实物期权模型,得到了委托人设计的最优合同。并通过数值分析,得到了如下的主要结论,信息不对称下,与信息对称相比,高成本的项目投资时机推迟,低成本的项目时机提前,投资期权价值减少。委托人的期权价值随着审核效率的提高而增大。当代理人越没有耐心时,委托人的期权价值越大。本文的研究为现实中的委托代理框架下的实物期权投资决策提供了一定的指导意义。     

考虑价格上限的寡头发电投资阈值与容量选择

发电容量投资不足或过剩都将带来巨大经济与社会损失.论文针对需求不确定且存在价格上限的情况,分析寡头发电商均衡的报价策略,在此基础上,运用实物期权和博弈论思想,构建寡头发电商投资阈值与容量选择模型,并通过数值仿真方法,分析对称寡头发电商的投资阈值与容量选择、最优价格上限与发电商数量,结果表明:1)价格上限较低时,寡头发电商会延迟投资,但总的投资容量会随发电商数量的增多而递增,而在价格上限较高时,则相反;2)最优的价格上限是无穷大,但发电投资商的数量对电力市场的可持续发展非常关键.     

非对称信息条件下实物期权最优投资问题研究

描述了实物期权投资者和经营者价值函数,分析了不同信息条件下实物期权的最优投 资决策. 在非对称信息条件下,实物期权经营者对于项目价值信息隐匿,这是一个具有逆向选 择的委托代理问题. 设计了以实物期权投资者利润数学期望最大为目标函数,以投资和数量折 扣作为状态方程的最优控制问题. 应用极大值原理推导了实物期权最优投资和数量折扣的求 解方案. 最后,进行了实物期权最优投资的仿真实验,验证了实物期权在项目投资问题上的分 析结果.     

债务容量与成长期权关系研究

本文利用期权博弈方法,探析投资成长期权如何影响公司债务融资决策问题。在不确定条件下,综合考虑利率、税率、债息和债务的期限结构这些影响融资和投资的重要因素,构建期权博弈理论模型,确定企业的最优债务容量,并运用数值方法给出了债务容量与投资成长期权的回报率之间是非线性的"U"形关系的结论。研究表明,当投资成长期权的回报率较低时,债务容量随着投资成长期权的回报率增加而债务容量减少;当投资成长期权的回报率达到较高水平时,债务容量随着投资成长期权的回报率增加而债务容量增加。从而给出了关于债务容量与投资成长期权之间的内在关系的新理论解释。     

基于融资约束和不确定性的公司最优投资时机选择模型

在借鉴McDonald和Siegel关于公司最优投资时机选择模型论述的基础上,加入融资约束程度变量,而且假定这种融资约束程度随公司未来收益的不确定性变化,依据实物期权定价理论以及伊藤引理,建立了基于不确定性和投资约束的公司最优投资时机选择模型.文章结合案例进行了数值计算,并对结果进行了分析.     

基于实物期权的项目组合投资决策研究

基于项目投资决策的可延迟性特征,将实物期权的决策灵活性思想引入到企业的投资组合决策中,建立了基于实物期权的0-1整数规划模型.模型以项目的期权价值最大化作为投资组合项目选择的标准,通过项目组合投资时机的灵活安排,实现了项目组合的总投资价值最大化.     

项目区域投资的期权特征与决策研究

运用期权的观点和方法研究项目区域投资问题具有重要的现实意义.在衡量投资区域机会价值的基础上,分析了项目区域投资的期权特征,建立了项目区域投资决策的实物期权模型,为实际中的多区域投资决策问题提供了一种量化分析方法.     

考虑需求异常扰动和管理者损失厌恶行为的能力结构投资模型

本文在需求异常扰动的情境下,研究了运作系统专有和柔性能力结构的投资决策模型,并在数理上证明和比较了管理者两种不同风险感知情况下的能力结构比率决策问题。研究表明:在需求异常扰动发生概率、扰动分布参数以及柔性扩张系数影响下,风险中性和存在损失厌恶行为的管理者在柔性能力投资决策上存在明显的差异,依据缺货损失程度采取的补贴或惩罚机制可以改善损失厌恶管理者的柔性能力投资决策偏差。     

不确定环境下新技术投资策略模型研究

探讨企业关于可升级换代新技术的投资策略选择问题,建立了基于实物期权方法的投资分析模型,模型有完备的解析解.阐述分析了企业可选择的五种基本投资策略,这些策略充分考虑了隐含的期权价值,可为企业管理者提供有益的决策参考和实践指导.     

An efficient curve in stochastic capacity expansion

An optimum expansion of a single capacity is considered when the installation cost is very large and future demand is given by an evolving process of Wiener. Risk of expansion is evaluated and included in the decision criteria which links the capacity expansion problem with financial investment theory, Numerical results show the existence of an optimum expansion capacity and an efficient curve which represent the optimum choices with respect to the possible combinations of expansion cost and risk.     

A Learning Real Options Framework with Application to Process Design and Capacity Planning

This paper studies the impact of learning on a multi‐staged investment scenario. In contrast to other models in the real options literature in which learning is viewed as a passive consequence of the delay period, this paper quantifies information acquisition by merging statistical decision theory with the real options framework. In this context, real option attributes are discussed from a Bayesian perspective, thresholds are identified for improved decision‐making, and information's impact on downstream decision‐making is discussed. Using real data provided by a firm in the aerospace maintenance, repair, and overhaul industry, the methodology is used to guide a multi‐phased irreversible investment decision involving process design and capacity planning.     

基于半离差风险收益的投资组合管理优化模型研究

本文在对投资组合管理理论分析的基础上,利用半离差法计算组合投资的风险与收益,克服了H. Markowitz提出的均值一方差模型研究的不足以及半方差模型的烦琐,提出了基于半离差风险收益的多目标优化模型;假设投资组合一般包括三种资产形式:股票、债券、现金。引进了机会成本概念在投资选择中的重要性,更加符合我国投资者的实际,便于操作,这为证券投资组合优化提供了一种新的方法,并有一定的参考借鉴价值。     

Operational Hedging and Diversification under Correlated Supply and Demand Uncertainty

When facing supply uncertainty caused by exogenous factors such as adverse weather conditions, firms diversify their supply sources following the wisdom of “not holding all eggs in one basket.” We study a firm that decides on investment and production levels of two unreliable but substitutable resources. Applying real options thinking, production decisions account for actual supply capabilities, whereas investment decisions are made in advance. To model triangular supply and demand correlations, we adapt the concepts of random capacity and stochastic proportional yield while using concordant ordered random variables. Optimal profit decreases monotonically in supply correlation and increases monotonically in supply–demand correlation. Optimal resource selection, however, depends on the trivariate interplay of supply and demand and responds non‐monotonically to changing correlations. Moreover, supply hedges (i.e., excess capacity at alternative sources) can be optimal even if supply resources are perfectly positively correlated. To accommodate changing degrees of correlation, the firm adjusts the lower margin capacities under random capacity; but under stochastic proportional production capability, it uses either low‐ or high‐margin capacities to create tailored “scale hedges” (i.e., excess capacity at one source which can partially substitute for diversification).     

Maximizing the rate of return on the capital employed in shipping capacity renewal

Decisions regarding investments in capacity expansion/renewal require taking into account both the operating fitness and the financial performance of the investment. While several operating requirements have been considered in the operations research literature, the corresponding financial aspects have not received as much attention. We introduce a model for the renewal of shipping capacity which maximizes the Average Internal Rate of Return (AIRR). Maximizing the AIRR sets stricter return requirements on money expenditures than classic profit maximization models and may describe more closely shipping investors׳ preferences. The resulting nonlinear model is linearized to ease computation. Based on data from a shipping company we compare a profit maximization model with an AIRR maximization model. Results show that while maximizing profits results in aggressive expansions of the fleet, maximizing the return provides more balanced renewal strategies which may be preferable to most shipping investors.     

Option Contracts and Capacity Management—Enabling Price Discrimination under Demand Uncertainty

We explore using an option contract as a price discrimination tool under demand uncertainty. In our capacity game model, a monopolistic supplier has to build capacity before observing the uncertain demand. The demand is generated by two potential customers, who privately know their own types. The types could be either high or low, differing in willingness to pay for each unit of demand. To discriminate between the customer types, the supplier designs option contracts so that only the high type will buy options in advance. The high type will do so because the options can hedge their risk of demand loss when capacity is tight. The supplier profits in three ways. First, the high type customers pay higher marginal prices on average. Second, the high type customers' demand is satisfied as a first priority, guaranteeing allocation efficiency. Third, the supplier can observe the number of options being purchased and so determine customer types, improving capacity investment efficiency. We compare our results to those of classical second degree price discrimination. We show that our proposed framework guarantees the same level of supplier profit even when the supplier cannot discriminate between the customers by bundling products.