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arXiv 1610.05018q-fin.MF
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完全Wiener驱动市场中最优投资组合的显式公式:泛函伊藤微积分方法

An explicit formula for optimal portfolios in complete Wiener driven markets: a functional Itô calculus approach

Kristoffer Lindensjö

摘要:

考虑了一个由Wiener过程驱动的完备金融市场中的标准最优投资问题,并利用泛函It^o演算的垂直导数导出了最优投资组合过程的显式表达式.与Malliavin演算方法相比,这种方法的一个优点是它只依赖于可积性条件。

英文摘要:

We consider a standard optimal investment problem in a complete financial market driven by a Wiener process and derive an explicit formula for the optimal portfolio process in terms of the vertical derivative from functional It^o calculus. An advantage with this approach compared to the Malliavin calculus approach is that it relies only on an integrability condition.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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