Abstract

http://ssrn.com/abstract=1977577
 
 

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Risk Parity, Maximum Diversification, and Minimum Variance: An Analytic Perspective


Roger G Clarke


Analytic Investors, Inc.

Harindra De Silva


Analytic Investors, Inc.

Steven Thorley


Marriott School of Management, BYU

June 1, 2012

Journal of Portfolio Management, Vol. 39, No. 3, pp. 39-53 (Spring 2013).

Abstract:     
Analytic solutions to Risk Parity, Maximum Diversification, and Minimum Variance portfolios provide useful perspectives about their construction and composition. Individual asset weights depend on both systematic and idiosyncratic risk in all three risk-based portfolios, but systematic risk eliminates many investable assets in long-only constrained Maximum Diversification and Minimum Variance portfolios. On the other hand, all investable assets are included in Risk Parity portfolios, and idiosyncratic risk has little impact on the magnitude of the weights. The algebraic forms for optimal asset weights derived in this paper yield generalizable properties of risk-based portfolios, in contrast to empirical simulations that employ a specific set of historical returns, proprietary risk models, and multiple constraints. The analytic solutions reveal precisely how the various kinds of predicted risk impact the relative magnitude of security weights under each type of risk-based portfolio construction.

Keywords: Minimum Variance, Maximum Diversification, Risk Parity, Risk-Based, Portfolio Construction

JEL Classification: G11

Accepted Paper Series


Not Available For Download

Date posted: January 1, 2012 ; Last revised: November 21, 2013

Suggested Citation

Clarke, Roger G and de Silva, Harindra and Thorley, Steven, Risk Parity, Maximum Diversification, and Minimum Variance: An Analytic Perspective (June 1, 2012). Journal of Portfolio Management, Vol. 39, No. 3, pp. 39-53 (Spring 2013).. Available at SSRN: http://ssrn.com/abstract=1977577 or http://dx.doi.org/10.2139/ssrn.1977577

Contact Information

Roger G Clarke
Analytic Investors, Inc. ( email )
700 So. Flower St., Suite 2400
Los Angeles, CA 90017
United States
Harindra De Silva
Analytic Investors, Inc. ( email )
555 West 5th Street
50th Floor
Los Angeles, CA 90013
United States
213-688-3015 (Phone)
213-688-8856 (Fax)
Steven Thorley (Contact Author)
Marriott School of Management, BYU ( email )
616 TNRB
Brigham Young University
Provo, UT 84602
United States
801-378-6065 (Phone)
801-378-5984 (Fax)
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