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Risk Allocation under Liquidity Constraints

Author

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  • Péter Csóka

    (Department of Finance, Corvinus University of Budapest and “Momentum” Game Theory Research Group, Centre for Economic and Regional Studies, Hungarian Academy of Sciences, Hungary)

  • P. Jean-Jacques Herings

    (Department of Economics, Maastricht University, The Netherlands)

Abstract

Risk allocation games are cooperative games that are used to attribute the risk of a financial entity to its divisions. In this paper, we extend the literature on risk allocation games by incorporating liquidity considerations. A liquidity policy specifies state-dependent liquidity requirements that a portfolio should obey. To comply with the liquidity policy, a financial entity may have to liquidate part of its assets, which is costly. The definition of a risk allocation game under liquidity constraints is not straight- forward, since the presence of a liquidity policy leads to externalities. We argue that the standard worst case approach should not be used here and present an alternative definition. We show that the resulting class of transferable utility games coincides with the class of totally balanced games. It follows from our results that also when taking liquidity considerations into account there is always a stable way to allocate risk.

Suggested Citation

  • Péter Csóka & P. Jean-Jacques Herings, 2014. "Risk Allocation under Liquidity Constraints," Working Papers 2014.47, Fondazione Eni Enrico Mattei.
    • Handle: RePEc:fem:femwpa:2014.47
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    References listed on IDEAS

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    Cited by:

    1. Dóra Balog, 2017. "Capital Allocation in the Insurance Sector," Financial and Economic Review, Magyar Nemzeti Bank (Central Bank of Hungary), vol. 16(3), pages 74-97.
    2. Judit Hevér & Péter Csóka, 2023. "The effect of funding liquidity regulation and ESG promotion on market liquidity," CERS-IE WORKING PAPERS 2307, Institute of Economics, Centre for Economic and Regional Studies.
    3. Hevér, Judit, 2017. "A likviditás és a permanens árhatás szerepe a portfólióértékelésben [The role of liquidity policy and permanent price impact in portfolio valuation]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(6), pages 594-611.
    4. Peter Csoka & Judit Hever, 2023. "The Effect of Regulatory Requirements and ESG Promotion on Market Liquidity," MNB Working Papers 2023/1, Magyar Nemzeti Bank (Central Bank of Hungary).
    5. Hevér, Judit, 2020. "A piaci likviditás és a szabályozás kapcsolatának vizsgálata általános egyensúlyelméleti modellkeretben [The effect of regulation on market liquidity: a general equilibrium approach]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(7), pages 708-733.
    6. Hougaard, Jens Leth & Smilgins, Aleksandrs, 2016. "Risk capital allocation with autonomous subunits: The Lorenz set," Insurance: Mathematics and Economics, Elsevier, vol. 67(C), pages 151-157.
    7. Csóka, Péter & Hevér, Judit, 2018. "Portfolio valuation under liquidity constraints with permanent price impact," Finance Research Letters, Elsevier, vol. 26(C), pages 235-241.
    8. Balog, Dóra & Bátyi, Tamás László & Csóka, Péter & Pintér, Miklós, 2017. "Properties and comparison of risk capital allocation methods," European Journal of Operational Research, Elsevier, vol. 259(2), pages 614-625.

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    More about this item

    Keywords

    Market Microstructure; Coherent Measures of Risk; Market Liquidity; Portfolio Performance Evaluation; Risk Capital Allocation; Totally Balanced Games;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

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