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Portfolio optimization under solvency II: a multi-objective approach incorporating market views and real-world constraints

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  • Marco Di Francesco

    (UnipolSai Assicurazioni)

Abstract

We propose a new approach to handle the problem of portfolio optimization for non-life insurance company incorporating the solvency capital requirement (SCR), market views and their confident levels, several equality and inequality real-world constraints and transaction costs. We analyze two case studies: first, we consider a tri-objective optimization problem in which we minimize the Market SCR, the variance of the so-called basic own funds (BOF) and maximize the return of portfolio; secondly, we consider bi-objective optimization problem in which we minimize the variance of BOF and maximize the return of portfolio while considering the Market SCR as a constraint. We introduce a scenario-based framework in which the reference model is given by an internal model. By entropy pooling approach, we blended market views and their confident levels with the reference model to build the posterior distribution. The latter is used to compute the variance of BOF and the portfolio return. In both case studies, we obtain good results in term of risk-reward tradeoff and diversification.

Suggested Citation

  • Marco Di Francesco, 2021. "Portfolio optimization under solvency II: a multi-objective approach incorporating market views and real-world constraints," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 44(1), pages 269-294, June.
    • Handle: RePEc:spr:decfin:v:44:y:2021:i:1:d:10.1007_s10203-021-00320-3
    DOI: 10.1007/s10203-021-00320-3
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    1. Gilli, Manfred & Maringer, Dietmar & Schumann, Enrico, 2011. "Numerical Methods and Optimization in Finance," Elsevier Monographs, Elsevier, edition 1, number 9780123756626.
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    1. Alfonso Valero, 2024. "Diversification strategies for indirect real estate. Intersection of business, economics, and society in shanghai mixed-use developments," SN Business & Economics, Springer, vol. 4(10), pages 1-26, October.

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