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A bi-level programming approach for global investment strategies with financial intermediation

Author

Listed:
  • Francisco Benita
  • Francisco López-Ramos
  • Stefano Nasini

    (LEM - Lille économie management - UMR 9221 - UA - Université d'Artois - UCL - Université catholique de Lille - Université de Lille - CNRS - Centre National de la Recherche Scientifique)

Abstract

Most mathematical programming models for investment selection and portfolio management rely on centralized decisions about both budget allocation in different (real and financial) investment options and portfolio composition within the different options. However, in more realistic market scenarios investors do not directly select the portfolio composition, but only provide guidelines and requirements for the investment procedure. Financial intermediaries are then responsible for the detailed portfolio management, resulting in a hierarchical investor-intermediary decision setting. In this work, a bi-level mixed-integer quadratic optimization problem is proposed for the decentralized selection of a portfolio of financial securities and real investments. Single-level reformulation techniques are presented, along with valid-inequalities which allow speeding-up their resolution procedure, when large-scale instances are taken into account. We conducted computational experiments on large historical stock market data from the Center for Research in Security Prices to validate and compare the proposed bi-level investment framework (and the resulting single-level reformulations), under different levels of investor's and intermediary's risk aversion and control. The empirical tests reveled the impact of decentralization on the investment performance, and provide a comparative analysis of the computational effort corresponding to the proposed solution approaches.

Suggested Citation

  • Francisco Benita & Francisco López-Ramos & Stefano Nasini, 2019. "A bi-level programming approach for global investment strategies with financial intermediation," Post-Print hal-02117530, HAL.
    • Handle: RePEc:hal:journl:hal-02117530
    DOI: 10.1016/j.ejor.2018.10.009
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    as
    1. Ehrgott, Matthias & Klamroth, Kathrin & Schwehm, Christian, 2004. "An MCDM approach to portfolio optimization," European Journal of Operational Research, Elsevier, vol. 155(3), pages 752-770, June.
    2. Cao, Dong & Chen, Mingyuan, 2006. "Capacitated plant selection in a decentralized manufacturing environment: A bilevel optimization approach," European Journal of Operational Research, Elsevier, vol. 169(1), pages 97-110, February.
    3. Demir, FIrat, 2009. "Financial liberalization, private investment and portfolio choice: Financialization of real sectors in emerging markets," Journal of Development Economics, Elsevier, vol. 88(2), pages 314-324, March.
    4. Hanan G. Jacoby & Emmanuel Skoufias, 1997. "Risk, Financial Markets, and Human Capital in a Developing Country," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 64(3), pages 311-335.
    5. Gondzio, Jacek & Grothey, Andreas, 2007. "Solving non-linear portfolio optimization problems with the primal-dual interior point method," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1019-1029, September.
    6. John A Doukas & L H P Lang, 2003. "Foreign direct investment, diversification and firm performance," Journal of International Business Studies, Palgrave Macmillan;Academy of International Business, vol. 34(2), pages 153-172, March.
    7. Fábián, Csaba I., 2008. "Handling CVaR objectives and constraints in two-stage stochastic models," European Journal of Operational Research, Elsevier, vol. 191(3), pages 888-911, December.
    8. Eugene F. Fama, 1968. "Risk, Return And Equilibrium: Some Clarifying Comments," Journal of Finance, American Finance Association, vol. 23(1), pages 29-40, March.
    9. Gabrel, Virginie & Murat, Cécile & Thiele, Aurélie, 2014. "Recent advances in robust optimization: An overview," European Journal of Operational Research, Elsevier, vol. 235(3), pages 471-483.
    10. Gulpinar, Nalan & Rustem, Berc, 2007. "Worst-case robust decisions for multi-period mean-variance portfolio optimization," European Journal of Operational Research, Elsevier, vol. 183(3), pages 981-1000, December.
    11. Fang, Yong & Chen, Lihua & Fukushima, Masao, 2008. "A mixed R&D projects and securities portfolio selection model," European Journal of Operational Research, Elsevier, vol. 185(2), pages 700-715, March.
    12. Michaelsen, Jacob B. & Goshay, Robert C., 1967. "Portfolio Selection in Financial Intermediaries: A New Approach," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 2(2), pages 166-199, June.
    13. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    14. Jonathan F. Bard, 1984. "Optimality conditions for the bilevel programming problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 31(1), pages 13-26, March.
    15. DemIr, FIrat, 2009. "Capital Market Imperfections and Financialization of Real Sectors in Emerging Markets: Private Investment and Cash Flow Relationship Revisited," World Development, Elsevier, vol. 37(5), pages 953-964, May.
    16. Rahmaniani, Ragheb & Crainic, Teodor Gabriel & Gendreau, Michel & Rei, Walter, 2017. "The Benders decomposition algorithm: A literature review," European Journal of Operational Research, Elsevier, vol. 259(3), pages 801-817.
    17. Brock, William & Lakonishok, Josef & LeBaron, Blake, 1992. "Simple Technical Trading Rules and the Stochastic Properties of Stock Returns," Journal of Finance, American Finance Association, vol. 47(5), pages 1731-1764, December.
    18. Alexander, Gordon J. & Baptista, Alexandre M., 2006. "Portfolio selection with a drawdown constraint," Journal of Banking & Finance, Elsevier, vol. 30(11), pages 3171-3189, November.
    19. West, Richard R., 1967. "“Homemade†Diversification vs. Corporate Diversification," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 2(4), pages 417-420, December.
    20. Yakov Amihud & Baruch Lev, 1981. "Risk Reduction as a Managerial Motive for Conglomerate Mergers," Bell Journal of Economics, The RAND Corporation, vol. 12(2), pages 605-617, Autumn.
    21. Vikas Agarwal, 2004. "Risks and Portfolio Decisions Involving Hedge Funds," The Review of Financial Studies, Society for Financial Studies, vol. 17(1), pages 63-98.
    22. Victor DeMiguel & Francisco J. Nogales, 2009. "Portfolio Selection with Robust Estimation," Operations Research, INFORMS, vol. 57(3), pages 560-577, June.
    23. Tornell, Aaron, 1990. "Real vs. financial investment can Tobin taxes eliminate the irreversibility distortion?," Journal of Development Economics, Elsevier, vol. 32(2), pages 419-444, April.
    24. Kawai, Norifumi & Strange, Roger, 2014. "Subsidiary autonomy and performance in Japanese multinationals in Europe," International Business Review, Elsevier, vol. 23(3), pages 504-515.
    25. Alan M Rugman, 1976. "Risk Reduction by International Diversification," Journal of International Business Studies, Palgrave Macmillan;Academy of International Business, vol. 7(2), pages 75-80, June.
    26. Li, Xiang & Qin, Zhongfeng & Kar, Samarjit, 2010. "Mean-variance-skewness model for portfolio selection with fuzzy returns," European Journal of Operational Research, Elsevier, vol. 202(1), pages 239-247, April.
    27. Hartmann, Sönke & Briskorn, Dirk, 2010. "A survey of variants and extensions of the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 207(1), pages 1-14, November.
    28. Kolm, Petter N. & Tütüncü, Reha & Fabozzi, Frank J., 2014. "60 Years of portfolio optimization: Practical challenges and current trends," European Journal of Operational Research, Elsevier, vol. 234(2), pages 356-371.
    29. Fama, Eugene F. & French, Kenneth R., 1993. "Common risk factors in the returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 33(1), pages 3-56, February.
    30. Allen Michel & Israel Shaked, 1986. "Multinational Corporations vs Domestic Corporations: Financial Performance and Characteristics," Journal of International Business Studies, Palgrave Macmillan;Academy of International Business, vol. 17(3), pages 89-100, September.
    31. Renata Mansini & Włodzimierz Ogryczak & M. Speranza, 2007. "Conditional value at risk and related linear programming models for portfolio optimization," Annals of Operations Research, Springer, vol. 152(1), pages 227-256, July.
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