SET-VALUED INTRINSIC MEASURES OF SYSTEMIC RISK

Jana Hlavinovã, Birgit Rudloff () and Alexander Smirnow ()
Additional contact information
Jana Hlavinovã: Institute for Statistics and Mathematics, WU Vienna University of Economics and Business, Welthandelsplatz 1, 1220 Vienna, Austria
Birgit Rudloff: Institute for Statistics and Mathematics, WU Vienna University of Economics and Business, Welthandelsplatz 1, 1220 Vienna, Austria
Alexander Smirnow: Department of Banking and Finance, University of Zurich, Plattenstrasse 14, 8032 Zürich, Switzerland

International Journal of Theoretical and Applied Finance (IJTAF), 2024, vol. 27, issue 07n08, 1-34

Abstract: In recent years, it has become apparent that an isolated microprudential approach to capital adequacy requirements of individual institutions is insufficient. It can increase the homogeneity of the financial system and ultimately the cost to society. For this reason, the focus of the financial and mathematical literature has shifted toward the macroprudential regulation of the financial network as a whole. In particular, systemic risk measures have been discussed as a risk measurement and mitigation tool. In this spirit, we adopt a general approach of multivariate, set-valued risk measures and combine it with the notion of intrinsic risk measures. In order to define the risk of a financial position, intrinsic risk measures utilize only internal capital, which is received when part of the currently held assets are sold, instead of relying on external capital. We translate this methodology into the systemic framework and show that systemic intrinsic risk measures have desirable properties such as the set-valued equivalents of monotonicity and quasi-convexity. Furthermore, for convex acceptance sets we derive a dual representation of the systemic intrinsic risk measure. We apply our methodology to a modified Eisenberg–Noe network of banks and discuss the appeal of this approach from a regulatory perspective, as it does not require to inject external capital into the system. We show evidence that this approach allows to mitigate systemic risk by moving the network toward more stable assets.

Keywords: Systemic risk; set-valued risk measure; intrinsic risk measure; convex duality (search for similar items in EconPapers)
Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0219024924500250
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijtafx:v:27:y:2024:i:07n08:n:s0219024924500250

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0219024924500250

Access Statistics for this article

International Journal of Theoretical and Applied Finance (IJTAF) is currently edited by L P Hughston

More articles in International Journal of Theoretical and Applied Finance (IJTAF) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().