基于两个相关资产的亚式期权定价研究

本文研究具有浮动敲定价格的亚式期权,应用物理概率测度和公平保费原理的理论,求出亚式期权的期权定价公式。假设房价波动遵循非齐次泊松跳跃扩散过程,期权敲定价格满足公式,得到亚式期权的定价公式及亚式看涨期权的平价公式。     

论实物期权及其在风险投资中的应用

本文从广义的期权定义中引出实物期权的概念，对金融期权和产物期权进行比较分析，并借鉴金融期权的定价方法，得出实物期权的定价公式，在此基础上，对风险投资中的实物期权进行分析研究，通过计算风险投资项目中实物期权的价值，比较含有实物期权的风险投资项目与一般投资项目的价值，可以看出在风险投资中引入实物期权的思想，对风险投资家作出正确的投资决策，以及对风险资本的保值增值有重大的指导意义。     

兼有亚式期权和指数期权特性的新型经理人期权模型

本文剖析了经理人股票期权激励中凸显的问题,结合亚式期权和指数期权的特点,构造了一种改变收益结构的新型期权,并推导出该期权价值的近似解析式;最后,模拟实证分析指出该模型较其他模型有着较好的激励效果。     

多维美式勒式期权定价研究

本文运用最小二乘蒙特卡洛模拟方法,对多维美式勒式期权的定价问题进行了研究,并得到了在二维情况下美式勒式期权最优执行边界的示意图。从期权定价的领域来看,本文既是对多维期权研究的补充,也是对一维美式勒式期权研究的扩展。     

亚式期权定价估值模型风险管理的实证分析

近年来我国场外衍生品业务蓬勃发展，这与期货、期权上市品种越来越多，挂钩标的资产和场内对冲工具越来越丰富密切相关，对于服务实体经济发展，给产业客户提供套期保值和价格保护工具发挥了重要作用。其中，亚式类期权在国内市场上受到关注度很高，因此本文对常见的亚式算术平均期权以数据验证的方式进行介绍，首先从赔付公式分析了结算价采用平均值对费率和希腊值线性衰减作用以及行权价调整对期权结构影响两方面的普适特征，随后介绍了场外衍生品实际业务中常用的三个模型，最后结合实际的“保险+期货”豆粕亚式看涨期权项目，根据期权要素和行情计算了费率、希腊值、调整虚实程度以及压力测试情境下的各项指标，阐述了对场外期权业务定价估值、对冲、限额管理以及流动性评估等风险管理工作的影响，以及使用所述三个模型在定价估值和对冲风险管理需要注意的特点。     

布莱克-斯科尔斯期权定价模型分析

本文首先介绍期权定价模型兴起的经济背景并详细分析了期权价值的主要影响因素;接着主要围绕最为著名的期权定价模型——布莱克-斯科尔斯期权定价模型,对其成立的前提条件、推导过程作了较为详细的说明,并通过实例运用模型进行期权定价,简单分析了期权价值对布莱克-斯科尔斯期权定价模型中各个变量的敏感性。     

基于模糊决策空间的B-S期权评价模型研究

在不确定情况下,如何对期权价值进行准确定价一直是研究的热点.在项目评价中,由于人类思维及行为具有模糊以及难以量化的特点,传统的期权定价方法使决策不可避免地再次被刚性化.为此本文应用模糊理论及贝氏定理来度量该模糊性及模糊样本信息效果,据以作为估计期权定价模型中相关变量期望值的依据,并藉以建立模糊期权定价模型,以确定不确定性情况下的B-S期权定价问题.     

汇率在目标区域下的扩散模型的期权定价浅析

本文考虑了标的资产服从目标区域下的汇率扩散模型的外汇期权定价。利用套期保值的方法分别得到了不支付红利、支付红利以及强路径依赖的亚式外汇期权满足的偏微分方程。     

风险投资项目的模糊实物期权定价公式

现有的实物期权定价模型均假定公式中的变量取确定的数值,而实际上,由于风险投资的不确定性,有些数值是难以确定的.本文结合模糊集合理论和实物期权定价模型,提出评价风险投资项目的模糊实物期权定价公式,来描述符合实际环境下投资项目的期权价值.     

局部型幂型期权

幂型期权因其设计简单、权利金低等特点成为众多投资者追逐的对象.面对投资者不同的需求,并结合幂型期权的特点,本文设计出了一种创新幂式期权—局部型幂式期权,并给出了相应的定价公式,通过比较发现局部幂型期权的权利金更低,更容易得到投资者的青睐.     

股票期权的个人所得税问题探讨

股票期权制度是一种新型的薪酬激励制度。股票期权制度作为富有成效的激励制度之一，在发达国家得到了广泛的应用，已成为市场经济国家和地区的企业对员工进行长期激励的非常普遍的方式。近两年来，股票期权成为我国企业改革和发展的一个热门话题，并在部分企业开始实施。如何针对股票期权所得的特点，并借鉴国外经验，制定相应的税收政策，是我们迫切需要解决的问题。本对我国股票期权所得税目、纳税义务发生时间、计税依据、税收优惠及税收征管等作了较为详细的探讨。     

Asset-Backed Securitization in Singapore: Value of Embedded Buy-Back Options

Asset backed securities have been promoted as an important financing instrument for property developers to raise capital in Singapore. In 1999 alone, S$1.92 billion worth of bonds have been issued via the securitization of six commercial properties and one residential condominium project under construction. Buy-back option is a unique feature embedded in the asset-backed securitization (ABS) in Singapore, which allow the originator to retain a contingent claim on the upside potential of the asset price. Based on the multi-period binomial option pricing framework proposed by Cox et al. (1979), the prices of the options embedded in the ABS contracts are estimated. Using the securitization of the 132,111 square feet 268 Orchard Road office building for illustration, the premium of the options embedded in the 10-year ABS deal was estimated at S$28.47 million, or 15.48 percent of the bond value. Recognition of the value of embedded options is important for structuring a fair and transparent ABS deal.     

Pricing and hedging power options

In this paper we study the pricing and hedging of options whose payoff is a polynomial function of the underlying price at expiration; so-called ‘power options’. Working in the well-known Black and Scholes (1973) framework we derive closed-form formulas for the prices of general power calls and puts. Parabola options are studied as a special case. Power options can be hedged by statically combining ordinary options in such a way that their payoffs form a piecewise linear function which approximates the power option's payoff. Traditional delta hedging may subsequently be used to reduce any residual risk.     

Real estate development as an option

Subject to legal limitations, the owner of undeveloped real estate can determine both the date and density at which to develop his property. Alternatively, he can abandon his property. The value of these options depends partly on the stochastic evolution through time of the operating revenues and construction costs of developed property. In this paper the option pricing problem is solved analytically and numerically for the optimal data and density of development, the optimal date of abandonment, and the resulting market values of the developed and undeveloped properties.     

PRICING AND HEDGING SHORT STERLING OPTIONS USING NEURAL NETWORKS

This paper compares the performance of artificial neural networks (ANNs) with that of the modified Black model in both pricing and hedging short sterling options. Using high‐frequency data, standard and hybrid ANNs are trained to generate option prices. The hybrid ANN is significantly superior to both the modified Black model and the standard ANN in pricing call and put options. Hedge ratios for hedging short sterling options positions using short sterling futures are produced using the standard and hybrid ANN pricing models, the modified Black model, and also standard and hybrid ANNs trained directly on the hedge ratios. The performance of hedge ratios from ANNs directly trained on actual hedge ratios is significantly superior to those based on a pricing model, and to the modified Black model. Copyright © 2012 John Wiley & Sons, Ltd.     

Terms Structure of Interest Rates and Implicit Options: The Case of Japanese Bond Futures

The quality option for Japanese Government Bond Futures contracts is analysed using a term structure approach based upon a two-factor Heath, Jarrow and Morton (1990b) model. The option value is found to be 0.12%–0.2% of par three months prior to delivery. Also, analysis of variance confirms that the quality option has a negative theta .     

Free boundary and optimal stopping problems for American Asian options

We give a complete and self-contained proof of the existence of a strong solution to the free boundary and optimal stopping problems for pricing American path-dependent options. The framework is sufficiently general to include geometric Asian options with nonconstant volatility and recent path-dependent volatility models.      

Option pricing with random volatilities in complete markets

This article presents the theory of option pricing with random volatilities in complete markets. As such, it makes two contributions. First, the newly developed martingale measure technique is used to synthesize results dating from Merton (1973) through Eisenberg, (1985, 1987). This synthesis illustrates how Merton's formula, the CEV formula, and the Black-Scholes formula are special cases of the random volatility model derived herein. The impossibility of obtaining a self-financing trading strategy to duplicate an option in incomplete markets is demonstrated. This omission is important because option pricing models are often used for risk management, which requires the construction of synthetic options.Second, we derive a new formula, which is easy to interpret and easy to program, for pricing options given a random volatility. This formula (for a European call option) is seen to be a weighted average of Black-Scholes values, and is consistent with recent empirical studies finding evidence of mean-reversion in volatilities.Helpful comments from an anonymous referee are greatly appreciated.     

A Model of Equity Based Compensation with Tax

In this paper, we develop a two‐stage continuous time model of employee stock option (ESO) valuation under different tax regimes. We show that tax rules can have significant effects on ESO exercise behavior. In addition, we find that incentive stock options (ISO) are the optimal form of compensation for all levels of employees in the UK. In the US, restricted stock plans are preferred, and tax breaks offered by incentive schemes are only beneficial to employees with high liquid wealth (or small option holdings relative to wealth) or low risk aversion. We also analyze 83b elections for restricted stock plans in the US and find that making an election is a sub‐optimal decision for both the employee and the firm.