# Tangency portfolios in the LP solvable portfolio selection models

Reza Keykhaei; Mohamad Taghi Jahandideh

RAIRO - Operations Research (2012)

- Volume: 46, Issue: 2, page 149-158
- ISSN: 0399-0559

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topKeykhaei, Reza, and Jahandideh, Mohamad Taghi. "Tangency portfolios in the LP solvable portfolio selection models." RAIRO - Operations Research 46.2 (2012): 149-158. <http://eudml.org/doc/276396>.

@article{Keykhaei2012,

abstract = {A risk measure in a portfolio selection problem is linear programming (LP) solvable, if
it has a linear formulation when the asset returns are represented by discrete random
variables, i.e., they are defined by their realizations under specified
scenarios. The efficient frontier corresponding to an LP solvable model is a piecewise
linear curve. In this paper we describe a method which realizes and produces a tangency
portfolio as a by-product during the procedure of tracing out of the efficient frontier of
risky assets in an LP solvable model, when our portfolio contains some risky assets and a
riskless asset, using nonsmooth optimization methods. We show that the test of finding the
tangency portfolio can be limited only for two portfolios. Also, we describe that how this
method can be employed to trace out the efficient frontier corresponding to a portfolio
selection problem in the presence of a riskless asset.},

author = {Keykhaei, Reza, Jahandideh, Mohamad Taghi},

journal = {RAIRO - Operations Research},

keywords = {Linear programming; LP solvable portfolio selection models; subgradient; tangency portfolio; Aneja-Nair method; linear programming},

language = {eng},

month = {7},

number = {2},

pages = {149-158},

publisher = {EDP Sciences},

title = {Tangency portfolios in the LP solvable portfolio selection models},

url = {http://eudml.org/doc/276396},

volume = {46},

year = {2012},

}

TY - JOUR

AU - Keykhaei, Reza

AU - Jahandideh, Mohamad Taghi

TI - Tangency portfolios in the LP solvable portfolio selection models

JO - RAIRO - Operations Research

DA - 2012/7//

PB - EDP Sciences

VL - 46

IS - 2

SP - 149

EP - 158

AB - A risk measure in a portfolio selection problem is linear programming (LP) solvable, if
it has a linear formulation when the asset returns are represented by discrete random
variables, i.e., they are defined by their realizations under specified
scenarios. The efficient frontier corresponding to an LP solvable model is a piecewise
linear curve. In this paper we describe a method which realizes and produces a tangency
portfolio as a by-product during the procedure of tracing out of the efficient frontier of
risky assets in an LP solvable model, when our portfolio contains some risky assets and a
riskless asset, using nonsmooth optimization methods. We show that the test of finding the
tangency portfolio can be limited only for two portfolios. Also, we describe that how this
method can be employed to trace out the efficient frontier corresponding to a portfolio
selection problem in the presence of a riskless asset.

LA - eng

KW - Linear programming; LP solvable portfolio selection models; subgradient; tangency portfolio; Aneja-Nair method; linear programming

UR - http://eudml.org/doc/276396

ER -

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