A neural network versus Black–Scholes: a comparison of pricing and hedging performances

An Erratum has been published for this article in Journal of Forecasting 22(6‐7) 2003, 551 The Black–Scholes formula is a well‐known model for pricing and hedging derivative securities. It relies, however, on several highly questionable assumptions. This paper examines whether a neural network (MLP) can be used to find a call option pricing formula better corresponding to market prices and the properties of the underlying asset than the Black–Scholes formula. The neural network method is applied to the out‐of‐sample pricing and delta‐hedging of daily Swedish stock index call options from 1997 to 1999. The relevance of a hedge‐analysis is stressed further in this paper. As benchmarks, the Black–Scholes model with historical and implied volatility estimates are used. Comparisons reveal that the neural network models outperform the benchmarks both in pricing and hedging performances. A moving block bootstrap is used to test the statistical significance of the results. Although the neural networks are superior, the results are sometimes insignificant at the 5% level. Copyright © 2003 John Wiley & Sons, Ltd.     

民营企业实施股份期权激励的探析

阐述了股票期权及股份期权的含义与区别，说明了股份期权激励在民营企业实施的意义和前景，结合我国民营企业所处的环境及企业发展状况，提出了我国民营企业实施股份期权制度的若干策略。     

R ＆ D STRATEGIC INVESTMENT IN AN ASYMMETRICAL CASE

This article analyzes R ＆ D investment decisions in an asymmetrical case. The investment decisions share three important characteristics. First, the investment is completely irreversible. Second, there are two kinds of uncertainties over the future returns from the investment and over technology in R ＆ D process, respectively. Third, there is strategic competition in the asymmetrical case. This article presents the optimal investment threshold values and the optimal investment rule of high-efficient firm （leader）, and shows that the investment threshold values are reduced by competition of two firms. Finally, the mixed investment strategies for two firms, the probability that each firm separately exercises the option to invest, and the probability that two firms simultaneously exercise the option are given in the paper.     

期权理论在高新企业价值评估中的应用

分析了高新技术企业特点，说明了传统的企业价值评估方法不能应用于对高新技术企业的评估。如果把高新技术企业投资看成是为了获得一个未来取得现金流的机会，高新技术企业具有期权性质，就可以用期权理论及Black-Scholes模型评估高新企业的价值。     

组合期权交易策略的概率分析

在假定股票价格服从Ito过程条件下，讨论了采用组合期权交易策略的投资者获益的概率及损益的数学期望，得到了具体计算式，只要投资者获得相应数据，通过具体计算式加以计算，便可以为期权投资者提供数量上的重要参考依据，对期权投资者具有实用价值。     

两因素HJM模型下债券、期货、期权的定价

在HJM模型下考虑远期利率由2个独立布朗运动驱动的零息票债券的期限结构,给出零息票债券和债券期货的定价公式,以及债券期货期权的定价公式。     

北京史与北京学

史以载道，学以至用。史和学之间的关系可以说是史为根基、学为干躯。北京历史的轨迹完整清晰，发展的方向亦具有不可改变之趋。长城、运河、阿尔泰山丝绸之路使北京具有其他城市所无法取代的特殊地位。历史奠定了现实，现实建造了未来。北京的历史、现实、未来决定了北京学是一门显学，有必用和大用。     

首次公开发行股票(IPO)定价模型的评析

对首次公开发行股票定价的三种模型的假设条件、应用优势和局限性进行了评估.     

The Challenging Topics and Future Directions of the Research in Limnology and Watershed Sciences

Based on reviewing the problems in limnology and watershed sciences in meeting the national demands and the development of theories and methodology, this paper proposed some challenging topics to the sciences, covering the process of lake evolution and the quantitative analysis of human impacts, in -lake nutrient cycling an biogeo-chemical process, the process and mechanisms of material flow in lake-watershed system, digital watershed and the modeling of the surface process of lake -watershed, and ecosystem health and scientific management of lake-watershed.     

实物期权在折扣销售上的创新应用

介绍了实物期权定价技术,为中国电信“一元小灵通”建立了定价模型,探讨了其中所隐含的实物期权定价技术,并评价了其潜在的风险、盈利及取得盈利的相应条件。