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Design Of A Investment Portfolio Using Non-Linear Programming: Case Of Colombia 2013-2014, Diseno De Un Portafolio De Inversion A Partir De Un Modelo De Programacion No Lineal: Caso Colombia 2013-2014

Author

Listed:
  • John Dairo Ramirez Aristizabal
  • Eduardo Alexander Duque Grisales

Abstract

The relationship between risk and profitability of a financial asset is a constant concern of the investor in shaping their investment portfolio. The main goal in building the portfolio is to optimally allocate investments among different asset considering the concept of diversification. This paper focuses on the application of a nonlinear programming model for determining an investment portfolio in the Colombian market equities for the years 2013 and 2014, from the set of combinations of assets that maximize expected return for a given level of risk or that minimum risk for a given level of expected return. To do this, it implements and evaluates a model on a historical bases of financial asset prices in the Colombian equities market and compared them with the actual return on investment portfolios in Colombia.

Suggested Citation

  • John Dairo Ramirez Aristizabal & Eduardo Alexander Duque Grisales, 2016. "Design Of A Investment Portfolio Using Non-Linear Programming: Case Of Colombia 2013-2014, Diseno De Un Portafolio De Inversion A Partir De Un Modelo De Programacion No Lineal: Caso Colombia 2013-2014," Revista Internacional Administracion & Finanzas, The Institute for Business and Finance Research, vol. 9(2), pages 31-47.
    • Handle: RePEc:ibf:riafin:v:9:y:2016:i:2:p:31-47
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    References listed on IDEAS

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    1. Oscar Becerra & Luis Fernando Melo, 2008. "Medidas de riesgo financiero usando cópulas: teoría y aplicaciones," Borradores de Economia 489, Banco de la Republica de Colombia.
    2. Constantin Zopounidis & Michael Doumpos, 2013. "Multicriteria decision systems for financial problems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(2), pages 241-261, July.
    3. Fang, Yong & Lai, K.K. & Wang, Shou-Yang, 2006. "Portfolio rebalancing model with transaction costs based on fuzzy decision theory," European Journal of Operational Research, Elsevier, vol. 175(2), pages 879-893, December.
    4. Constantin Zopounidis & Michael Doumpos, 2013. "Rejoinder on: Multicriteria decision systems for financial problems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(2), pages 282-286, July.
    5. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    6. Aouni, Belaid & Ben Abdelaziz, Foued & Martel, Jean-Marc, 2005. "Decision-maker's preferences modeling in the stochastic goal programming," European Journal of Operational Research, Elsevier, vol. 162(3), pages 610-618, May.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Portfolio Investment; Nonlinear Programming; Risk Aversion; Financial Assets;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • G00 - Financial Economics - - General - - - General
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G23 - Financial Economics - - Financial Institutions and Services - - - Non-bank Financial Institutions; Financial Instruments; Institutional Investors

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