摘要翻译:
抽象地定义了一个财富过程集,它由包含严格正半鞅且满足直观重平衡性质的非负C{A}DL{A}g过程组成。在不存在第一类套利的条件下,证明了所有的财富过程都是半鞅的,并且Emery拓扑中的财富过程集的闭包包含所有的“最优”财富过程。
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英文标题:
《On the closure in the Emery topology of semimartingale wealth-process
sets》
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作者:
Constantinos Kardaras
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最新提交年份:
2013
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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:
A wealth-process set is abstractly defined to consist of nonnegative c\`{a}dl\`{a}g processes containing a strictly positive semimartingale and satisfying an intuitive re-balancing property. Under the condition of absence of arbitrage of the first kind, it is established that all wealth processes are semimartingales and that the closure of the wealth-process set in the Emery topology contains all "optimal" wealth processes.
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PDF链接:
https://arxiv.org/pdf/1108.0945