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ON Integrated Chance Constraints in ALM for Pension Funds

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  • Youssouf A. F. Toukourou
  • Franc{c}ois Dufresne

Abstract

We discuss the role of integrated chance constraints (ICC) as quantitative risk constraints in asset and liability management (ALM) for pension funds. We define two types of ICC: the one period integrated chance constraint (OICC) and the multiperiod integrated chance constraint (MICC). As their names suggest, the OICC covers only one period whereas several periods are taken into account with the MICC. A multistage stochastic linear programming model is therefore developed for this purpose and a special mention is paid to the modeling of the MICC. Based on a numerical example, we firstly analyse the effects of the OICC and the MICC on the optimal decisions (asset allocation and contribution rate) of a pension fund. By definition, the MICC is more restrictive and safer compared to the OICC. Secondly, we quantify this MICC safety increase. The results show that although the optimal decisions from the OICC and the MICC differ, the total costs are very close, showing that the MICC is definitely a better approach since it is more prudent.

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  • Youssouf A. F. Toukourou & Franc{c}ois Dufresne, 2015. "ON Integrated Chance Constraints in ALM for Pension Funds," Papers 1503.05343, arXiv.org.
    • Handle: RePEc:arx:papers:1503.05343
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    Cited by:

    1. Maria Teresa Medeiros Garcia & Liane Costa Gabriel, 2021. "Asset Liability Management: Evidence from the Banco de Portugal defined benefit pension fund," Working Papers REM 2021/0159, ISEG - Lisbon School of Economics and Management, REM, Universidade de Lisboa.

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