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arXiv 1606.05877q-fin.MF
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投资组合收益的一种新分解

A new decomposition of portfolio return

Robert Fernholz

摘要:

对于一个函数生成的投资组合,相对对数收益率自然分解为生成函数的对数变化和漂移过程。在本文中,这种分解被推广到任意的股票投资组合的应用菲斯克-Stratonovich积分。在扩展的方法中,生成函数由结构过程表示,漂移过程被归入交易过程,该交易过程测量交易对投资组合的损益。

英文摘要:

For a functionally generated portfolio, there is a natural decomposition of the relative log-return into the log-change in the generating function and a drift process. In this note, this decomposition is extended to arbitrary stock portfolios by an application of Fisk-Stratonovich integration. With the extended methodology, the generating function is represented by a structural process, and the drift process is subsumed into a trading process that measures the profit and loss to the portfolio from trading.

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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