英文标题：
《Modified Brownian Motion Approach to Modelling Returns Distribution》
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作者：
Gurjeet Dhesi, Muhammad Bilal Shakeel and Ling Xiao
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最新提交年份：
2015
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英文摘要：
An innovative extension of Geometric Brownian Motion model is developed by incorporating a weighting factor and a stochastic function modelled as a mixture of power and trigonometric functions. Simulations based on this Modified Brownian Motion Model with optimal weighting factors selected by goodness of fit tests, substantially outperform the basic Geometric Brownian Motion model in terms of fitting the returns distribution of historic data price indices. Furthermore we attempt to provide an interpretation of the additional stochastic term in relation to irrational behaviour in financial markets and outline the importance of this novel model.
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中文摘要：
几何布朗运动模型的一个创新性扩展是通过引入加权因子和一个随机函数，将其建模为幂函数和三角函数的混合物。基于该修正布朗运动模型的模拟，在拟合历史数据价格指数的收益分布方面，通过拟合优度检验选择最佳权重因子，大大优于基本几何布朗运动模型。此外，我们试图解释金融市场中与非理性行为有关的额外随机项，并概述这种新模型的重要性。
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分类信息：

一级分类：Quantitative Finance 数量金融学
二级分类：Pricing of Securities 证券定价
分类描述：Valuation and hedging of financial securities, their derivatives, and structured products
金融证券及其衍生产品和结构化产品的估值和套期保值
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一级分类：Quantitative Finance 数量金融学
二级分类：General Finance 一般财务
分类描述：Development of general quantitative methodologies with applications in finance
通用定量方法的发展及其在金融中的应用
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