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Optimal pension fund composition for an Italian private pension plan sponsor

Author

Listed:
  • Sebastiano Vitali

    (University of Bergamo)

  • Vittorio Moriggia

    (University of Bergamo)

  • Miloš Kopa

    (Charles University in Prague)

Abstract

We address the problem of a private pension plan sponsor who has to find the best pension funds for its members. Starting from a descriptive analysis of the pension plan members we identify a set of representative subscribers. Then, the optimal allocation for each representative will become a pension fund of the pension plan. For each representative, we propose a multistage stochastic program (MSP) which includes a multi-criteria objective function. The optimal choice is the portfolio allocation that minimizes the average value at risk deviation of the final wealth and satisfies a wealth target in the final stage and other constraints regarding pension plan regulations. Stochasticity arises from the investor’s salary process and from asset returns. Numerical results show the optimal dynamic portfolios with respect to the investor’s preferences and then the best pension funds the sponsor might offer.

Suggested Citation

  • Sebastiano Vitali & Vittorio Moriggia & Miloš Kopa, 2017. "Optimal pension fund composition for an Italian private pension plan sponsor," Computational Management Science, Springer, vol. 14(1), pages 135-160, January.
  • Handle: RePEc:spr:comgts:v:14:y:2017:i:1:d:10.1007_s10287-016-0263-4
    DOI: 10.1007/s10287-016-0263-4
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    1. Fabozzi, Frank J. & Focardi, Sergio M. & Jonas, Caroline L., 2005. "Market experience with modeling for defined-benefit pension funds: evidence from four countries," Journal of Pension Economics and Finance, Cambridge University Press, vol. 4(3), pages 313-327, November.
    2. Victor DeMiguel & Lorenzo Garlappi & Raman Uppal, 2009. "Optimal Versus Naive Diversification: How Inefficient is the 1-N Portfolio Strategy?," The Review of Financial Studies, Society for Financial Studies, vol. 22(5), pages 1915-1953, May.
    3. Francisco J. Gomes & Laurence J. Kotlikoff & Luis M. Viceira, 2008. "Optimal Life-Cycle Investing with Flexible Labor Supply: A Welfare Analysis of Life-Cycle Funds," American Economic Review, American Economic Association, vol. 98(2), pages 297-303, May.
    4. Cairns, Andrew J.G. & Blake, David & Dowd, Kevin, 2006. "Stochastic lifestyling: Optimal dynamic asset allocation for defined contribution pension plans," Journal of Economic Dynamics and Control, Elsevier, vol. 30(5), pages 843-877, May.
    5. Petri Hilli & Matti Koivu & Teemu Pennanen & Antero Ranne, 2007. "A stochastic programming model for asset liability management of a Finnish pension company," Annals of Operations Research, Springer, vol. 152(1), pages 115-139, July.
    6. repec:dgr:rugsom:07005 is not listed on IDEAS
    7. Giorgio Consigli & Massimo di Tria & Michele Gaffo & Gaetano Iaquinta & Vittorio Moriggia & Angelo Uristani, 2011. "Dynamic Portfolio Management for Property and Casualty Insurance," International Series in Operations Research & Management Science, in: Marida Bertocchi & Giorgio Consigli & Michael A. H. Dempster (ed.), Stochastic Optimization Methods in Finance and Energy, edition 1, chapter 0, pages 99-124, Springer.
    8. Richard, Scott F., 1975. "Optimal consumption, portfolio and life insurance rules for an uncertain lived individual in a continuous time model," Journal of Financial Economics, Elsevier, vol. 2(2), pages 187-203, June.
    9. E. A. Medova & J. K. Murphy & A. P. Owen & K. Rehman, 2008. "Individual asset liability management," Quantitative Finance, Taylor & Francis Journals, vol. 8(6), pages 547-560.
    10. Kouwenberg, Roy, 2001. "Scenario generation and stochastic programming models for asset liability management," European Journal of Operational Research, Elsevier, vol. 134(2), pages 279-292, October.
    11. Consiglio, Andrea & Tumminello, Michele & Zenios, Stavros A., 2015. "Desinging Guarantee Options in Defined Contributions Pension Plans," Working Papers 15-03, University of Pennsylvania, Wharton School, Weiss Center.
    12. Andrea Consiglio & Flavio Cocco & Stavros Zenios, 2007. "Scenario optimization asset and liability modelling for individual investors," Annals of Operations Research, Springer, vol. 152(1), pages 167-191, July.
    13. Andrea Consiglio & Flavio Cocco & Stavros A. Zenios, 2004. "www.Personal_Asset_Allocation," Interfaces, INFORMS, vol. 34(4), pages 287-302, August.
    14. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    15. Streutker, Matthijs & van der Vlerk, Maarten & Klein Haneveld, Wim, 2007. "Implementation of new regulatory rules in a multistage ALM model for Dutch pension funds," Research Report 07005, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    16. John M. Mulvey & Koray D. Simsek & Zhuojuan Zhang & Frank J. Fabozzi & William R. Pauling, 2008. "OR PRACTICE---Assisting Defined-Benefit Pension Plans," Operations Research, INFORMS, vol. 56(5), pages 1066-1078, October.
    17. Alois Geyer & William T. Ziemba, 2008. "The Innovest Austrian Pension Fund Financial Planning Model InnoALM," Operations Research, INFORMS, vol. 56(4), pages 797-810, August.
    18. Jitka Dupačová & Marida Bertocchi & Vittorio Moriggia, 2009. "Testing the structure of multistage stochastic programs," Computational Management Science, Springer, vol. 6(2), pages 161-185, May.
    19. Consiglio, Andrea & Tumminello, Michele & Zenios, Stavros A., 2015. "Designing and pricing guarantee options in defined contribution pension plans," Insurance: Mathematics and Economics, Elsevier, vol. 65(C), pages 267-279.
    20. David R. Cariño & Terry Kent & David H. Myers & Celine Stacy & Mike Sylvanus & Andrew L. Turner & Kouji Watanabe & William T. Ziemba, 1994. "The Russell-Yasuda Kasai Model: An Asset/Liability Model for a Japanese Insurance Company Using Multistage Stochastic Programming," Interfaces, INFORMS, vol. 24(1), pages 29-49, February.
    21. G. Consigli & M. Dempster, 1998. "Dynamic stochastic programmingfor asset-liability management," Annals of Operations Research, Springer, vol. 81(0), pages 131-162, June.
    22. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    23. Hoyland, Kjetil & Wallace, Stein W., 2001. "Analyzing legal regulations in the Norwegian life insurance business using a multistage asset-liability management model," European Journal of Operational Research, Elsevier, vol. 134(2), pages 293-308, October.
    24. John M Mulvey & Koray D Simsek & Zhuojuan Zhang, 2006. "Improving investment performance for pension plans," Journal of Asset Management, Palgrave Macmillan, vol. 7(2), pages 93-108, July.
    25. John M. Mulvey & Cenk Ural & Zhuojuan Zhang, 2007. "Improving performance for long-term investors: wide diversification, leverage, and overlay strategies," Quantitative Finance, Taylor & Francis Journals, vol. 7(2), pages 175-187.
    26. Soňa Kilianová & Georg Pflug, 2009. "Optimal pension fund management under multi-period risk minimization," Annals of Operations Research, Springer, vol. 166(1), pages 261-270, February.
    27. Abaffy, J. & Bertocchi, M. & Dupacova, J. & Moriggia, V. & Consigli, G., 2007. "Pricing nondiversifiable credit risk in the corporate Eurobond market," Journal of Banking & Finance, Elsevier, vol. 31(8), pages 2233-2263, August.
    28. Rockafellar, R. Tyrrell & Uryasev, Stanislav, 2002. "Conditional value-at-risk for general loss distributions," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1443-1471, July.
    29. Lans Bovenberg & Thijs Knaap, 2005. "Ageing, Funded Pensions and the Dutch Economy," CESifo Working Paper Series 1403, CESifo.
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    Cited by:

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    3. Markéta Horejšová & Sebastiano Vitali & Miloš Kopa & Vittorio Moriggia, 2020. "Evaluation of scenario reduction algorithms with nested distance," Computational Management Science, Springer, vol. 17(2), pages 241-275, June.
    4. Milos Kopa & Kristina Sutiene & Audrius Kabasinskas & Ausrine Lakstutiene & Aidas Malakauskas, 2022. "Dominance Tracking Index for Measuring Pension Fund Performance with Respect to the Benchmark," Sustainability, MDPI, vol. 14(15), pages 1-28, August.
    5. Giorgio Consigli & Vittorio Moriggia & Sebastiano Vitali, 2020. "Long-term individual financial planning under stochastic dominance constraints," Annals of Operations Research, Springer, vol. 292(2), pages 973-1000, September.
    6. Sebastiano Vitali & Vittorio Moriggia, 2021. "Pension fund management with investment certificates and stochastic dominance," Annals of Operations Research, Springer, vol. 299(1), pages 273-292, April.
    7. Moriggia, Vittorio & Kopa, Miloš & Vitali, Sebastiano, 2019. "Pension fund management with hedging derivatives, stochastic dominance and nodal contamination," Omega, Elsevier, vol. 87(C), pages 127-141.
    8. Sebastiano Vitali & Ruth Domínguez & Vittorio Moriggia, 2021. "Comparing stage-scenario with nodal formulation for multistage stochastic problems," 4OR, Springer, vol. 19(4), pages 613-631, December.

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