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Producing the tangency portfolio as a cornerportfolio

Published online by Cambridge University Press:  26 August 2013

Reza Keykhaei and
Mohamad-Taghi Jahandideh
Reza Keykhaei
Affiliation:
Department of Mathematics, Khansar Faculty of Computer and Mathematics, University of Isfahan, Isfahan 81746-73441, Iran.. r.keykhaei@math.iut.ac.ir
Mohamad-Taghi Jahandideh
Affiliation:
College of Mathematical Sciences, Isfahan University of Technology, 84156-83111, Isfahan, Iran.; jahandid@cc.iut.ac.ir

Abstract

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One-fund theorem states that an efficient portfolio in a Mean-Variance (M-V) portfolioselection problem for a set of some risky assets and a riskless asset can be representedby a combination of a unique risky fund (tangency portfolio) and the riskless asset. Inthis paper, we introduce a method for which the tangency portfolio can be produced as acorner portfolio. So, the tangency portfolio can be computed easily and fast by anyalgorithm designed for tracing out the M-V efficient frontier via computing the cornerportfolios. Moreover, we show that how this method can be used for tracing out the M-Vefficient frontier when problem contains a riskless asset in which the borrowing is notallowed.

Keywords

M-V OptimizationParametric Quadratic ProgrammingCritical Line AlgorithmCapital Allocation LineTangency Portfolio

Information

Type
Research Article
Information
RAIRO - Operations Research , Volume 47 , Issue 3 , July 2013, pp. 311 - 320
Copyright
© EDP Sciences, ROADEF, SMAI, 2013

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