How Robust Is Robust Covariance? Evidence from International Portfolio Selection

35 Pages Posted: 23 Jan 2015

See all articles by Tsung-Wu Ho

Tsung-Wu Ho

National Taiwan Normal University, College of Management

Date Written: June 16, 2013

Abstract

This paper investigates whether the use of robust covariance improves portfolio performance and, in the presence of uncertainty, whether the 1/N strategy is as good as you think. In addition to sample covariance, we use a battery of robust covariance matrix. Our empirical evidence has two findings: First, the range of in-sample estimation horizon and out-of-sample holding period matter the most; secondly, generally, assets selected by robust covariance does not matter, the only exception is covariance estimated by multivariate t distribution Although the 1/N strategy is as optimal as the literature suggests, it does not cover all assets, yet n assets selected out of N by certain strategy perform better. Whether the out-of-sample holding period is set to be 1 and 3 months, our empirical illustration shows that: n assets selected from 90-day estimation window performs best, portfolio with 1/n weight consistently outperforms that with pre-optimized weights. As a result, robust investment strategy matters the most, rather than robust covariance. The factors that affect covariance estimator is not outliers, but the one that balance information.

Keywords: international portfolio, robust covariance, rolling, estimation errors

JEL Classification: C13; C51; G11

Suggested Citation

Ho, Tsung-Wu, How Robust Is Robust Covariance? Evidence from International Portfolio Selection (June 16, 2013). Available at SSRN: https://ssrn.com/abstract=2280172 or http://dx.doi.org/10.2139/ssrn.2280172

Tsung-Wu Ho (Contact Author)

National Taiwan Normal University, College of Management ( email )

No. 31, Shi-Da Road
Taipei, 10610
Taiwan
+886(2)7734-5624 (Phone)

HOME PAGE: http://web.ntnu.edu.tw/~tsungwu/

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