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Seeking Alpha? It’s a Bad Guideline for Portfolio Optimization

Levy, Moshe and Roll, Richard (2015) Seeking Alpha? It’s a Bad Guideline for Portfolio Optimization. Social Science Working Paper, 1411. California Institute of Technology , Pasadena, CA. (Unpublished)

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Alpha is the most popular measure for evaluating the performance of both individual assets and funds. The alpha of an asset with respect to a given benchmark portfolio measures the change in the portfolio’s Sharpe ratio driven by a marginal increase in the asset’s portfolio weight. Thus, alpha indicates which assets should be marginally over/underweighted relative to the benchmark weights, and by how much. This study shows that alpha is actually a bad guideline for portfolio optimization. The reason is that alpha only measures the effects of infinitesimal changes in the portfolio weights. For small but finite changes, which are those relevant to investors, the optimal weight adjustments are almost unrelated to the alphas. In fact, in many cases the optimal adjustment is in the opposite direction of alpha – it may be optimal to reduce the weight of an asset with a positive alpha, and vice versa. Rather than employing alphas as a guideline, one can do much better by direct optimization with the desired constraint on the distance from the benchmark portfolio weights.

Item Type:Report or Paper (Working Paper)
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URLURL TypeDescription ItemPublished Article
Group:Social Science Working Papers
Subject Keywords:Alpha, portfolio performance, portfolio optimization, mean-variance analysis
Classification Code:JEL: G11
Record Number:CaltechAUTHORS:20170726-105902733
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:79411
Deposited By: Hanna Storlie
Deposited On:07 Aug 2017 21:32
Last Modified:08 Dec 2017 21:55

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