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Efficient Portfolio Optimization in the Wealth Creation and Maximum Drawdown Space

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Abstract

It is widely known that the Markowitz formulation of the portfolio optimization problem, based on maximizing expected return and minimizing risk, is the main pillar of the portfolio management theoretical foundations. Nevertheless, its limited impact in investment management practice is also widely recognized1, which has fostered new approaches to the portfolio optimization problem.

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Bibliography

  • Artzner, P., Delbaen, F., Eber, J-M. and Heath, D. (1998) ‘Coherent Measures of Risk’, Mathematical Finance, Vol. 9, November, 203–228.

    Article  Google Scholar 

  • Bhansali, V. (2005) ‘Putting Economics (Back) into Quantitative Models’, Risk Magazines Annual Quant Congress, New York, 89 November.

    Google Scholar 

  • Bhansali, V. and Wise, M. (2001) ‘Forecasting Portfolio Risk in Normal and Stressed Markets’, Journal of Risk, 4(1), Fall 2001, 91–106.

    Google Scholar 

  • Black, F. and Litterman, R. (1992) ‘Global Portfolio Optimization’, Financial Analyst Journal, SeptemberOctober, 28–43.

    Google Scholar 

  • Chabra, A.B. (2005) ‘Beyond Markowitz: A Comprehensive Wealth Allocation Framework for Individual Investors’, The Journal of Wealth Management, 7(4), Spring, 8–34.

    Article  Google Scholar 

  • Cheng, S., Liu, Y. and Wang, S. (2004) ‘Progress in Risk Measurement’, Advanced Modelling and Optimization, Vol. 6, No. 1.

    Google Scholar 

  • Cuthbertson, K. and Nitzsche, D. (2004) Quantitative Financial Economics, Second Edition, John Wiley & Sons.

    Google Scholar 

  • Danthine, J-P. and Donaldson, J.B. (2002) Intermediate Financial Theory, Prentice Hall.

    Google Scholar 

  • De Giorgi, E. (2002) ‘A Note on Portfolio Selection under Various Risk Measures’, Institute of Empirical Research, University of Zurich, 19 August.

    Google Scholar 

  • Dowd, K. (2005) Measuring Market Risk, Second Edition, John Wiley & Sons.

    Book  Google Scholar 

  • Fisher, L. (1975). ‘Using Modern Portfolio Theory to Maintain an Efficiently Diversified Portfolio’, Financial Analyst Journal 31(3), 73–85.

    Article  Google Scholar 

  • Greenspan, A. (2008) ‘We Will Never Have the Perfect Model of Risk’, Financial Times, 16 March.

    Google Scholar 

  • He, G. and Litterman, R. (1999) ‘The Intuition Behind Black-Litterman Model Portfolios’, Investment Management Research, Goldman Sachs Investment Management.

    Google Scholar 

  • Holland J. (1975) Adaptation in Natural and Artificial Systems, The University of Michigan Press.

    Google Scholar 

  • Houck, C.R., Joines, J.A. and Kay, M.G. (1995) ‘A Genetic Algorithm for Function Optimization: A Matlab Implementation’, Technical Report NCSU-IE-TR-95–09, North Carolina State University, Raleigh, NC(1995).

    Google Scholar 

  • Hurlimann, W. (2002) ‘An Alternative Approach to Portfolio Selection’, In Proceedings of the 12th international AFIR Colloquium, Cancun, Mexico.

    Google Scholar 

  • IMF (2008) International Financial Statistics, CD-ROM.

    Google Scholar 

  • León, C. and Laserna, J.M. (2008) ‘Asignación Estratégica de Activos para Fondos de Pensiones Obligatorias en Colombia: Un Enfoque Alternativo’, Borradores de Economía, Vol. 523, Banco de la República.

    Google Scholar 

  • Litterman, R. (2003) ‘Risk Measurement’, Modern Investment Management: An Equilibrium Approach, John Wiley & Sons, Hoboken, New Jersey.

    Google Scholar 

  • Lohre, H., Neumann, T. and Winterfeldt, T. (2007) ‘Portfolio Construction with Downside Risk’, Available at SSRN: http://ssrn.com/abstract=1112982.

    Google Scholar 

  • Loraschi, A. (1995) Distributed Genetic Algorithms with an Application to Portfolio Selection. SIGE Consulnza S.P.A. Milano, Italy.

    Book  Google Scholar 

  • Magdon-Ismail, M. and Atiya, A. (2004) ‘Maximum Drawdown’, Risk, October, 1085–1100.

    Google Scholar 

  • Markowitz, H.M. (1952) ‘Portfolio Selection’, The Journal of Finance, 7(1), March, 77–91.

    Google Scholar 

  • Pedersen, C.S. and Rudholm-Alfvin, T. (2003) ‘Selecting a Risk-Adjusted Shareholder Performance Measure’, Journal of Asset Management, 4(3), October, 152–172.

    Article  Google Scholar 

  • Pézier, J. (2007) ‘Global Portfolio Optimization Revisited: A Least Discrimination Alternative to Black-Litterman’, ICMA Centre Discussion Papers in Finance, ICMA, University of Reading.

    Google Scholar 

  • Popper, K. (1990) A World of Propensities, Thoemmes, Bristol.

    Google Scholar 

  • Rebonato, R. (2007) Plight of the Fortune Tellers, Princeton University Press.

    Google Scholar 

  • Reveiz, A. (2008) ‘The Case for Active Management for the Perspective of Complexity Theory’, Borradores de Economia. Vol. 495, Banco de la República.

    Google Scholar 

  • Reveiz, A. and León, C. (2008) ‘Administración de fondos de pensiones y multifondos en Colombia’, Borradores de Economía, Vol. 506, Banco de la República.

    Google Scholar 

  • Reveiz, A., León, C., Laserna, J.M. and Martinez, I. (2008) ‘Recomendaciones para la modificación del régimen de pensiones obligatorias de Colombia’, Ensayos sobre Política Económica, 26(56), edición junio 2008, 78–113.

    Google Scholar 

  • Roy, D. (1952) ‘Safety First and the Holding of Assets’, Econometrics, 20(3), July, 431–449.

    Article  Google Scholar 

  • Rubinstein, M. (2002) ‘Markowitz’s ‘Portfolio Selection’: A Fifty-Year Retrospective’, The Journal of Finance, 57(3), June 1041–1045.

    Article  Google Scholar 

  • Sharpe, W.F. (1974) ‘Imputing Expected Returns from Portfolio Composition’, Journal of Financial and Quantitative Analysis, 9(3), 463–472.

    Article  Google Scholar 

  • Taleb, N.N. (2004) Fooled by Randomness, Random House.

    Google Scholar 

  • Taleb, N.N. (2007) The Black Swan, Random House.

    Google Scholar 

  • Zimmermann, H., Drobetz, W. and Oertmann, P. (2003) Global Asset Allocation, John Wiley & Sons.

    Google Scholar 

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© 2010 Palgrave Macmillan, a division of Macmillan Publishers Limited

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Reveiz, A., León, C. (2010). Efficient Portfolio Optimization in the Wealth Creation and Maximum Drawdown Space. In: Berkelaar, A.B., Coche, J., Nyholm, K. (eds) Interest Rate Models, Asset Allocation and Quantitative Techniques for Central Banks and Sovereign Wealth Funds. Palgrave Macmillan, London. https://doi.org/10.1057/9780230251298_7

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