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1.
文章研究不具有平稳增量的随机过程下的欧式期权定价问题.假设标的资产价格变化过程由混合分数布朗运动来刻画,在此环境下研究欧式看涨期权.利用复制策略得到欧式看涨期权价值所满足的偏微分方程.结合欧式看涨期权价值满足的终端条件,运用Mellin变换得到偏微分方程的解析解,即混合分数布朗运动环境下欧式看涨期权定价公式.  相似文献   

2.
主要研究支付红利的欧式看涨期权定价的数值模拟问题。对支付红利的欧式看涨期权的模型作了推导,并通过变量代换得到满足终端条件的常系数反抛物方程。我们用时间向前差商和空间中心差商得到欧式看涨期权的差分格式,对一定条件下格式的稳定性进行了讨论。并利用matlab作出欧式看涨期权在各个时期不同股票价格的价值图像。  相似文献   

3.
假定标的资产服从几何布朗运动,基于Merton、Vasicek以及Hull-White利率模型,分别给出对应的欧式看涨期权定价公式的显式表达式,并得到Gauss利率下欧式看涨期权定价公式的一般形式。  相似文献   

4.
在Black-Scholes市场假设下,研究了离散监督障碍期权的解析定价问题.首先,通过变量变换,给出了多维边际分布的平均向量和协方差矩阵.其次,通过使用条件概率和多维正态分布的特征,获得离散监督向上敲出欧式看涨期权和离散监督向下敲出欧式看跌期权的解析定价公式.最后,讨论和分析了离散监督障碍对障碍期权价格的影响.研究结果表明,随着上障碍的增大,离散监督向上敲出的欧式看涨期权价格变大;离散监督向下敲出欧式看跌期权价格随着下障碍的增加而变小.  相似文献   

5.
利用倒向随机微分方程和鞅测度变换,提出了基于实际概率和信息的欧式期权非风险中性定价模型,同时得到了欧式看涨和看跌期权的定价公式和套期保值策略。  相似文献   

6.
跳扩散型普通欧式看涨(看跌)期权已成为期权定价研究的热门问题之一,研究者们从不同的角度,使用了不同的方法来解决这一类期权定价问题。利用套期保值的方法求出了幂型支付欧式期权的价格所满足的带终值条件的随机微分方程.  相似文献   

7.
研究了Merton时变利率模型下带有交易费的欧式期权定价问题,利用径向基函数法对其近似求解,借助于数值实验,探讨了无风险利率时变及波动率变化对期权价格的影响.实验结果表明,径向基函数法求解欧式看涨期权具有高精度、计算简单、易操作等优点.  相似文献   

8.
假设在期权有效期内σ、rj是时间t的已知函数的情况下,对欧式期权的BlacleScholes定价方程进行修正,从而获得更接近真实世界的欧式看涨期权的定价公式。并利用新的期权定价公式对具有期权特性的公司权益资本进行评价。获得一般性的公司最优资本结构的结果.  相似文献   

9.
讨论了指数期权中指数价格遵循分数Brown运动时的期权定价问题,并假设利率为常数的情况下,利用保险精算原理和价格过程的实际概率测度,得到了欧式指数看涨和看跌期权的定价公式.  相似文献   

10.
根据投资组合理论,本文建立了支付股息欧式看涨期权的价格模型,并在此基础上研究了两种定价方法。  相似文献   

11.
The European and American call options,for which the prices of their underlying asset follow compound Poisson process,are evaluated by a probability method.Formulas that can be used to evaluate the options are obtained,which include not only the elements of an option:the price of the call option,the exercise price and the expiration date,but also the riskless interest rate,nevertheless exclude the volatility of the underlying asset.In practice,the evaluated results obtained by these formulas can proved references of making strategic decision for an investor who buys the call option and a company who sells the call option.  相似文献   

12.
Higher education has been one of the major thematic areas of the European Journal of Education over the years, and the relationships between higher education the world of work have been one of the 10 major themes in this area. The multitude of related articles shows substantial changes of the situation and the related discourse. The employment and work situation of graduates underwent changes in the course of expansion, the respective political climate had its ups and downs, and the knowledge base on the impact of study conditions and provisions of graduate employment and work improved over time. This notwithstanding, we note a constant return to the persistent questions as to whether we have too few or too many graduates. In recent years, higher education has been increasingly exposed to greater instrumental expectations. The paradigms of ‘knowledge society’ and ‘knowledge economy’ reinforce a call for higher education to serve more directly the ‘employability’ of graduates. As views vary strikingly regarding issues such as specialisation vs. general competences, preparation for predictable tasks vs. preparing for an unexpected future, etc., higher education could keep a diversity of options in the best ways to ensure professional relevance.  相似文献   

13.
运用基于公司价值基础上的违约信用风险模型,在完全市场中,对带有违约风险的外国股票欧式买入期权定价模型进行研究.采用等价鞅测度变换的方法,对有违约风险的用国内货币执行价的外国股票欧式买入期权和有违约风险的用外币执行价的外国股票欧式买入期权给出了封闭形式的解析定价公式.  相似文献   

14.
INTRODUCTION The valuation and hedging of the ever increasing number of exotic options, is a topic that interests many practitioners seeking to answer their customer’s need to hedge risk (in particular in the foreign ex- change markets). Exotic options, or “path-dependent” options, such as compound options, reset options and Barrier options and the like, are options whose payoff depends on the behavior of the price of the underlying between 0 and the maturity (assumed to be fixed), rath…  相似文献   

15.
1 Introduction a Basic research on how to formulate a theory or a method that allows extracting general characteristics of a system from partial and incomplete information can be traced back to the 18th century; Jakob Bernoulli (1713), Laplace (1744) and …  相似文献   

16.
本文在风险中性假设的基础上,对n期二叉树模型下的欧式看涨期权公式进行了重新完整的推导,并对当n趋向无穷大时的极限情况给出详细的证明  相似文献   

17.
在约化方法框架下,假设原生资产服从几何布朗运动,利率和违约强度均服从Vasicek模型,利用风险对冲技巧和无套利原理推导出国债回收条件下的一类含交易对手违约的欧式期权定价模型且利用偏微分方程方法得到其定价公式.在此基础上,讨论了回收参数对期权价格的影响.  相似文献   

18.
期权定价问题是现代金融中最基本的问题之一.在以往的期权理论中,主要在随机环境下处理期权定价问题.本文尝试运用不确定理论去处理一类特殊的多资产欧式期权—彩虹期权的定价问题.  相似文献   

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