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摘要翻译：
我们研究具有变点的指数Levy模型，变点是一个随机变量，与初始Levy过程无关。在具有初始扩大过滤的正则空间上，我们描述了变点模型的所有等价鞅测度，并给出了F-散度最小等价鞅测度存在的条件。利用效用最大化与F$-散度最小化之间的联系，我们得到了变点情况下初始扩大过滤和指数效用情况下逐步扩大过滤最优策略的一般公式。考虑带变点的Black-Scholes模型，我们给出了结果。
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英文标题：
《$F$-divergence minimal equivalent martingale measures and optimal
portfolios for exponential Levy models with a change-point》
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作者：
S. Cawston, L. Vostrikova
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最新提交年份：
2011
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分类信息：
一级分类：Quantitative Finance 数量金融学
二级分类：Portfolio Management 项目组合管理
分类描述：Security selection and optimization, capital allocation, investment strategies and performance measurement
证券选择与优化、资本配置、投资策略与绩效评价
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一级分类：Mathematics 数学
二级分类：Probability 概率
分类描述：Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory
概率论与随机过程的理论与应用：例如中心极限定理，大偏差，随机微分方程，统计力学模型，排队论
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英文摘要：
We study exponential Levy models with change-point which is a random variable, independent from initial Levy processes. On canonical space with initially enlarged filtration we describe all equivalent martingale measures for change-point model and we give the conditions for the existence of f-divergence minimal equivalent martingale measure. Using the connection between utility maximisation and $f$-divergence minimisation, we obtain a general formula for optimal strategy in change-point case for initially enlarged filtration and also for progressively enlarged filtration in the case of exponential utility. We illustrate our results considering the Black-Scholes model with change-point.
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PDF链接：
https://arxiv.org/pdf/1004.3525
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