Document Type

Book Chapter

Department/Unit

Department of Economics

Title

Internet bubble examination with mean-variance ratio

Language

English

Abstract

© Springer Science+Business Media New York 2015. To evaluate the performance of the prospects X and Y, financial professionals are interested in testing the equality of their Sharpe ratios (SRs), the ratios of the excess expected returns to their standard deviations. Bai et al. (Statistics and Probability Letters 81, 1078–1085, 2011d) have developed the mean-varianceratio (MVR) statistic to test the equality of their MVRs, the ratios of the excess expected returns to its variances. They have also provided theoretical reasoning to use MVR and proved that their proposed statistic is uniformly most powerful unbiased. Rejecting the null hypothesis infers that X will have either smaller variance or larger excess mean return or both leading to the conclusion that X is the better investment. In this paper, we illustrate the superiority of the MVR test over the traditional SR test by applying both tests to analyze the performance of the S &P 500 index and the NASDAQ 100 index after the bursting of the Internet bubble in the 2000s. Our findings show that while the traditional SR test concludes the two indices being analyzed to be indistinguishable in their performance, the MVR test statistic shows that the NASDAQ 100 index underperformed the S&P 500 index, which is the real situation after the bursting of the Internet bubble in the 2000s. This shows the superiority of the MVR test statistic in revealing short-term performance and, in turn, enables investors to make better decisions in their investments.

Publication Date

2015

Source Publication Title

Handbook of financial econometrics and statistics

Editors

Lee, Cheng-Few ; Lee, John C.

Start Page

1451

End Page

1465

Publisher

Springer New York

DOI

10.1007/978-1-4614-7750-1_53

ISBN (print)

9781461477495

ISBN (electronic)

9781461477501

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