Arbeitspapier

Fair risk allocation in illiquid markets

Let us consider a financially constrained leveraged financial firm having some divisions which have invested into some risky assets. Using coherent measures of risk the sum of the capital requirements of the divisions is larger than the capital requirement of the firm itself, there is some diversification benefit that should be allocated somehow for proper performance evaluation of the divisions. In this paper we use cooperative game theory and simulation to assess the possibility to jointly satisfy three natural fairness requirements for allocating risk capital in illiquid markets: Core Compatibility, Equal Treatment Property and Strong Monotonicity. Core Compatibility can be viewed as the allocated risk to each coalition (subset) of divisions should be at least as much as the risk increment the coalition causes by joining the rest of the divisions. Equal Treatment Property guarantees that if two divisions have the same standalone risk and also they contribute the same risk to all the subsets of divisions not containing them, then the same risk capital should be allocated to them. Strong Monotonicity requires that if a division weakly reduces its stand-alone risk and also its risk contribution to all the subsets of the other divisions, then as an incentive its allocated risk capital should not increase. Analyzing the simulation results we conclude that in most of the cases 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.

ISBN
978-615-5447-68-6
Sprache
Englisch

Erschienen in
Series: IEHAS Discussion Papers ; No. MT-DP - 2015/9

Klassifikation
Wirtschaft
Cooperative Games
General Financial Markets: General (includes Measurement and Data)
Thema
Market Microstructure
Coherent Measures of Risk
Market Liquidity
Funding Liquidity
Portfolio Performance Evaluation
Risk Capital Allocation
Risk Contributions
Totally Balanced Games
Simulation

Ereignis
Geistige Schöpfung
(wer)
Csóka, Péter
Ereignis
Veröffentlichung
(wer)
Hungarian Academy of Sciences, Institute of Economics
(wo)
Budapest
(wann)
2015

Handle
Letzte Aktualisierung
10.03.2025, 11:43 MEZ

Datenpartner

Dieses Objekt wird bereitgestellt von:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.

Objekttyp

  • Arbeitspapier

Beteiligte

  • Csóka, Péter
  • Hungarian Academy of Sciences, Institute of Economics

Entstanden

  • 2015

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