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Fair risk allocation in illiquid markets

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  • Csóka, Péter

Abstract

Let us consider a financial firm having some divisions which have invested into some risky assets. Using coherent measures of risk there is some diversification benefit that should be allocated somehow. We use cooperative game theory and simulations to assess the possibility to jointly satisfy three inherent fairness requirements for allocating risk capital in illiquid markets: Core Compatibility, Equal Treatment Property, and Strong Monotonicity. We show that practically it is not possible to allocate risk in illiquid markets satisfying the three fairness notions at the same time, one has to give up at least one of them.

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  • Csóka, Péter, 2017. "Fair risk allocation in illiquid markets," Finance Research Letters, Elsevier, vol. 21(C), pages 228-234.
    • Handle: RePEc:eee:finlet:v:21:y:2017:i:c:p:228-234
    DOI: 10.1016/j.frl.2016.11.007
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    1. Azeem Malik & Wing Lon Ng, 2014. "Intraday liquidity patterns in limit order books," Studies in Economics and Finance, Emerald Group Publishing Limited, vol. 31(1), pages 46-71, February.
    2. Homburg, Carsten & Scherpereel, Peter, 2008. "How should the cost of joint risk capital be allocated for performance measurement?," European Journal of Operational Research, Elsevier, vol. 187(1), pages 208-227, May.
    3. Csóka, Péter & Herings, P. Jean-Jacques & Kóczy, László Á., 2009. "Stable allocations of risk," Games and Economic Behavior, Elsevier, vol. 67(1), pages 266-276, September.
    4. Carlo Acerbi & Giacomo Scandolo, 2008. "Liquidity risk theory and coherent measures of risk," Quantitative Finance, Taylor & Francis Journals, vol. 8(7), pages 681-692.
    5. Michael Kalkbrener, 2005. "An Axiomatic Approach To Capital Allocation," Mathematical Finance, Wiley Blackwell, vol. 15(3), pages 425-437, July.
    6. Lönnbark, Carl & Holmberg, Ulf & Brännäs, Kurt, 2011. "Value at Risk and Expected Shortfall for large portfolios," Finance Research Letters, Elsevier, vol. 8(2), pages 59-68, June.
    7. Hamid Uddin, 2009. "Reexamination of stock liquidity risk with a relative measure," Studies in Economics and Finance, Emerald Group Publishing Limited, vol. 26(1), pages 24-35, March.
    8. Umut Çetin & Robert A. Jarrow & Philip Protter, 2008. "Liquidity risk and arbitrage pricing theory," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 8, pages 153-183, World Scientific Publishing Co. Pte. Ltd..
    9. Dóra Balog & Tamás László Bátyi & Péter Csóka & Miklós Pintér, 2014. "Properties of risk capital allocation methods: Core Compatibility, Equal Treatment Property and Strong Monotonicity," CERS-IE WORKING PAPERS 1417, Institute of Economics, Centre for Economic and Regional Studies.
    10. Acerbi, Carlo & Tasche, Dirk, 2002. "On the coherence of expected shortfall," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1487-1503, July.
    11. SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    12. Kim, Joseph H.T. & Hardy, Mary R., 2009. "A capital allocation based on a solvency exchange option," Insurance: Mathematics and Economics, Elsevier, vol. 44(3), pages 357-366, June.
    13. Philippe Artzner & Freddy Delbaen & Jean‐Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228, July.
    14. Buch, A. & Dorfleitner, G., 2008. "Coherent risk measures, coherent capital allocations and the gradient allocation principle," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 235-242, February.
    15. Kawee Numpacharoen & Amporn Atsawarungruangkit, 2012. "Generating Correlation Matrices Based on the Boundaries of Their Coefficients," PLOS ONE, Public Library of Science, vol. 7(11), pages 1-7, November.
    16. Kissell, Robert & Glantz, Morton & Malamut, Roberto, 2004. "A practical framework for estimating transaction costs and developing optimal trading strategies to achieve best execution," Finance Research Letters, Elsevier, vol. 1(1), pages 35-46, March.
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    Cited by:

    1. Lim, Hanah, 2022. "Benefit attribution in financial systems with bilateral netting," Finance Research Letters, Elsevier, vol. 45(C).
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    3. Csóka, Péter & Hevér, Judit, 2018. "Portfolio valuation under liquidity constraints with permanent price impact," Finance Research Letters, Elsevier, vol. 26(C), pages 235-241.

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    More about this item

    Keywords

    Market microstructure; Coherent measures of risk; Portfolio performance evaluation; Risk capital allocation; Cooperative game theory;
    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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