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使用稀PLS跟踪动态资产分配的双变量增强指数

Dynamic Asset Allocation for Bivariate Enhanced Index Tracking using Sparse PLS
课程网址: http://videolectures.net/amlcf09_mcwilliams_daab/  
主讲教师: Brian McWilliams
开课单位: 伦敦帝国学院
开课时间: 信息不详。欢迎您在右侧留言补充。
课程语种: 英语
中文简介:
指数跟踪是一种流行的投资组合管理策略,它涉及到创建一个投资组合,其收益率与基准指数的收益率非常接近。与索引跟踪相关联的问题有两个:资产选择和资产分配。资产选择涉及从n个可用资产中选择p的一个子集,而资产分配涉及将总可用资本的一部分投资于p资产中的每一个资产,目的是重现指数的表现。投资于资产i的资本占总资本的比例i,因此pp i=1 i=1。这些投资组合权重通常通过最小化跟踪误差来估算,即指数收益率Yt与投资组合收益率ˆy之间的误差,由t−1pt t=1(Yt−ˆYt)2给出。在此基础上,资产配置问题成为一个以投资组合权重为参数的标准回归问题。文献中,在同时解决资产选择和分配问题方面,只做了一些尝试;例如,[8]使用二次规划方法,而[3]中的方法基于遗传算法。我们的兴趣在于采用一种统一的方法,同时选择可用资产篮中的一个子集,并将跟踪误差最小化。我们采用正则回归方法。在完全索引复制场景中,资产选择可以被认为是为某些资产分配零权重,这样这些资产就不会包含在投资组合中,而所选资产应该能够复制索引。这些想法最近在最小方差投资组合的背景下得到了利用,而L1惩罚最小二乘法被证明是创建稳健投资组合的一种很有前景的方法[4];另请参见[5]的相关工作。我们主要从三个方面扩展这些想法。首先,我们考虑一个多变量的指数跟踪问题,在这个问题中,所选择的投资组合将重现多个指数的表现。其次,我们对要跟踪的指数的增强版本感兴趣,这样投资组合也会以给定的年度百分比回报率(例如,加上15%)超额执行每个指数。第三,我们提出了一种实时性好、完全自适应的方法,即每次有新的数据点可用时,资产分配和优化解决方案都可以以递归方式更新,从而减少计算量。最后一个特性使该方法对于数据中呈现的非平稳性更为强大,并且在交易成本之前,Yelds具有更好的跟踪结果。
课程简介: Index tracking is a popular portfolio management strategy which involves creating a portfolio whose returns track very closely those achieved by a benchmark index. There are two interconnected problems associated with index tracking: asset selection and asset allocation. Asset selection involves selecting a subset of p out of n available assets, whereas asset allocation involves investing a proportion of the total available capital in each one of the p assets with the objective of reproducing the performance of the index. The capital invested in asset i is in proportion i of the total capital so that Pp i=1 i = 1. These portfolio weights are generally estimated by minimzing the tracking error, that is the error between the index returns yt and the portfolio returns ˆy, given by T−1PT t=1(yt − ˆyt)2. Following this setting, the problem of asset allocation becomes a standard regression problem with the portfolio weights being the parameters to be estimated. In the literature, only a few attempts have been made to tackle both the asset selection and allocation problems at the same time; for instance, [8] use a quadratic programming approach and the method in [3] is based on genetic algorithms. Our interest lies in taking a unified approach which simultaneously selects a subset of assets in the available basket and minimizes the tracking error. We take a regularized regression approach. In a full index replication scenario, asset selection can be thought of as assigning certain assets a zero weight, so that those assets are not included in the portfolio, whereas the selected one should be able to reproduce the index. These ideas have recently been exploited in the context of minimum variance portfolios and L1-penalized least squares have been proved to be a promising method for creating robust portfolios [4]; see also the related work by [5]. We extend on these ideas in three main ways. Firstly, we consider a multivariate version of the index tracking problem, where the selected portfolio is expected to reproduce the performance of multiple indices. Secondly, we are interested in enhanced versions of the indices to be tracked so that the portfolio is also expected to overperform each index by a given annual percentage return (say, plus 15%). Thirdly, we propose a methodology that works well in real-time and is fully adaptive, in the sense that both the asset allocation and optimization solutions can be updated in a recursive manner, keeping the number of computations low, every time new data points are made available. This last feature makes the methodology more robust against non-stationarities presented in the data and yelds superior tracking results, before transaction costs.
关 键 词: 计算金融学; 指数跟踪; 资产选择; 资产分配
课程来源: 视频讲座网
最后编审: 2019-12-19:cwx
阅读次数: 34