Performance Comparison of Minimum Variance, Market and Eigen Portfolios for US Equities

Anqi Xiong, Ali Akansu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The Sharpe ratios and PNL curves of minimum variance, market and eigenportfolios for stocks in the Dow Jones Industrial Average (DJIA) index are calculated. We employed in this study a) the exponential function to approximate the measured cross correlations of the end of day (EOD) returns for US equities in DJIA, and b) their empirical correlation and covariance matrices to design the three portfolio types, and compare their market performance from May 4, 1999 to November 1, 2018. It is shown that the performances of portfolios derived by using exponential model based and empirical correlation and covariance matrices are consistent. We also displayed the PNL curve of DIA for performance comparison. It is observed from these PNLs that the first eigenportfolio significantly outperforms the other portfolios and DIA.

Original languageEnglish (US)
Title of host publication2019 53rd Annual Conference on Information Sciences and Systems, CISS 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781728111513
DOIs
StatePublished - Apr 16 2019
Event53rd Annual Conference on Information Sciences and Systems, CISS 2019 - Baltimore, United States
Duration: Mar 20 2019Mar 22 2019

Publication series

Name2019 53rd Annual Conference on Information Sciences and Systems, CISS 2019

Conference

Conference53rd Annual Conference on Information Sciences and Systems, CISS 2019
CountryUnited States
CityBaltimore
Period3/20/193/22/19

Fingerprint

Covariance matrix
Exponential functions

All Science Journal Classification (ASJC) codes

  • Information Systems

Keywords

  • DiA
  • eigenportfolios
  • Exponential correlation model
  • market portfolio
  • minimum variance portfolio
  • profit and loss (PNL) curve
  • Sharpe ratio

Cite this

Xiong, A., & Akansu, A. (2019). Performance Comparison of Minimum Variance, Market and Eigen Portfolios for US Equities. In 2019 53rd Annual Conference on Information Sciences and Systems, CISS 2019 [8693035] (2019 53rd Annual Conference on Information Sciences and Systems, CISS 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CISS.2019.8693035
Xiong, Anqi ; Akansu, Ali. / Performance Comparison of Minimum Variance, Market and Eigen Portfolios for US Equities. 2019 53rd Annual Conference on Information Sciences and Systems, CISS 2019. Institute of Electrical and Electronics Engineers Inc., 2019. (2019 53rd Annual Conference on Information Sciences and Systems, CISS 2019).
@inproceedings{acbe694670c541338b18ae117cf3fc21,
title = "Performance Comparison of Minimum Variance, Market and Eigen Portfolios for US Equities",
abstract = "The Sharpe ratios and PNL curves of minimum variance, market and eigenportfolios for stocks in the Dow Jones Industrial Average (DJIA) index are calculated. We employed in this study a) the exponential function to approximate the measured cross correlations of the end of day (EOD) returns for US equities in DJIA, and b) their empirical correlation and covariance matrices to design the three portfolio types, and compare their market performance from May 4, 1999 to November 1, 2018. It is shown that the performances of portfolios derived by using exponential model based and empirical correlation and covariance matrices are consistent. We also displayed the PNL curve of DIA for performance comparison. It is observed from these PNLs that the first eigenportfolio significantly outperforms the other portfolios and DIA.",
keywords = "DiA, eigenportfolios, Exponential correlation model, market portfolio, minimum variance portfolio, profit and loss (PNL) curve, Sharpe ratio",
author = "Anqi Xiong and Ali Akansu",
year = "2019",
month = "4",
day = "16",
doi = "https://doi.org/10.1109/CISS.2019.8693035",
language = "English (US)",
series = "2019 53rd Annual Conference on Information Sciences and Systems, CISS 2019",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
booktitle = "2019 53rd Annual Conference on Information Sciences and Systems, CISS 2019",
address = "United States",

}

Xiong, A & Akansu, A 2019, Performance Comparison of Minimum Variance, Market and Eigen Portfolios for US Equities. in 2019 53rd Annual Conference on Information Sciences and Systems, CISS 2019., 8693035, 2019 53rd Annual Conference on Information Sciences and Systems, CISS 2019, Institute of Electrical and Electronics Engineers Inc., 53rd Annual Conference on Information Sciences and Systems, CISS 2019, Baltimore, United States, 3/20/19. https://doi.org/10.1109/CISS.2019.8693035

Performance Comparison of Minimum Variance, Market and Eigen Portfolios for US Equities. / Xiong, Anqi; Akansu, Ali.

2019 53rd Annual Conference on Information Sciences and Systems, CISS 2019. Institute of Electrical and Electronics Engineers Inc., 2019. 8693035 (2019 53rd Annual Conference on Information Sciences and Systems, CISS 2019).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - Performance Comparison of Minimum Variance, Market and Eigen Portfolios for US Equities

AU - Xiong, Anqi

AU - Akansu, Ali

PY - 2019/4/16

Y1 - 2019/4/16

N2 - The Sharpe ratios and PNL curves of minimum variance, market and eigenportfolios for stocks in the Dow Jones Industrial Average (DJIA) index are calculated. We employed in this study a) the exponential function to approximate the measured cross correlations of the end of day (EOD) returns for US equities in DJIA, and b) their empirical correlation and covariance matrices to design the three portfolio types, and compare their market performance from May 4, 1999 to November 1, 2018. It is shown that the performances of portfolios derived by using exponential model based and empirical correlation and covariance matrices are consistent. We also displayed the PNL curve of DIA for performance comparison. It is observed from these PNLs that the first eigenportfolio significantly outperforms the other portfolios and DIA.

AB - The Sharpe ratios and PNL curves of minimum variance, market and eigenportfolios for stocks in the Dow Jones Industrial Average (DJIA) index are calculated. We employed in this study a) the exponential function to approximate the measured cross correlations of the end of day (EOD) returns for US equities in DJIA, and b) their empirical correlation and covariance matrices to design the three portfolio types, and compare their market performance from May 4, 1999 to November 1, 2018. It is shown that the performances of portfolios derived by using exponential model based and empirical correlation and covariance matrices are consistent. We also displayed the PNL curve of DIA for performance comparison. It is observed from these PNLs that the first eigenportfolio significantly outperforms the other portfolios and DIA.

KW - DiA

KW - eigenportfolios

KW - Exponential correlation model

KW - market portfolio

KW - minimum variance portfolio

KW - profit and loss (PNL) curve

KW - Sharpe ratio

UR - http://www.scopus.com/inward/record.url?scp=85065180778&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85065180778&partnerID=8YFLogxK

U2 - https://doi.org/10.1109/CISS.2019.8693035

DO - https://doi.org/10.1109/CISS.2019.8693035

M3 - Conference contribution

T3 - 2019 53rd Annual Conference on Information Sciences and Systems, CISS 2019

BT - 2019 53rd Annual Conference on Information Sciences and Systems, CISS 2019

PB - Institute of Electrical and Electronics Engineers Inc.

ER -

Xiong A, Akansu A. Performance Comparison of Minimum Variance, Market and Eigen Portfolios for US Equities. In 2019 53rd Annual Conference on Information Sciences and Systems, CISS 2019. Institute of Electrical and Electronics Engineers Inc. 2019. 8693035. (2019 53rd Annual Conference on Information Sciences and Systems, CISS 2019). https://doi.org/10.1109/CISS.2019.8693035