随机波动率下的美式期权定价：逼近 早期运动面与蒙特卡罗模拟

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摘要翻译：
本研究的目的是发展评估美式期权价格的方法，当标的资产的波动性被描述为一个随机过程。作为这个问题的一部分，开发了美式期权的早期行使面建模技术。将这些方法与建模复杂度和计算速度进行了比较。本文给出了具有随机波动率的美式期权价格的半解析表达式。文中还给出了数值计算结果及其标定。将所得结果与不考虑挥发微笑影响的结果进行了比较。
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英文标题：
《American Options Pricing under Stochastic Volatility: Approximation of
  the Early Exercise Surface and Monte Carlo Simulations》
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作者：
Yu.A.Kuperin, P.A.Poloskov
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最新提交年份：
2010
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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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英文摘要：
  The aim of this study was to develop methods for evaluating the American-style option prices when the volatility of the underlying asset is described by a stochastic process. As part of this problem were developed techniques for modeling the early exercise surface of the American option. These methods of present work are compared to the complexity of modeling and computation speed. The paper presents the semi-analytic expression for the price of American options with stochastic volatility. The results of numerical computations and their calibration are also presented. The obtained results were compared with results excluding the effect of volatility smile.
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PDF链接：
https://arxiv.org/pdf/1009.5495

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