The Axiomatic Approach to Risk Measures for Capital Determination

Publikation: Beitrag in FachzeitschriftÜbersichtsarbeitForschungPeer-Review

Autoren

  • Hans Föllmer
  • Stefan Weber

Externe Organisationen

  • Humboldt-Universität zu Berlin (HU Berlin)
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)301-337
Seitenumfang37
FachzeitschriftAnnual Review of Financial Economics
Jahrgang7
PublikationsstatusVeröffentlicht - 7 Dez. 2015

Abstract

The quantification of downside risk in terms of capital requirements is a key issue for both regulators and the financial industry. This review presents the axiomatic approach, which is based on monetary risk measures. These provide a unifying mathematical framework for the determination of capital requirements, for economic indices of riskiness, and for the analysis of preferences in the face of risk and Knightian uncertainty. In the special case of distribution-based risk measures, we review recent advances in characterizing their statistical properties such as elicitability and robustness.

ASJC Scopus Sachgebiete

Zitieren

The Axiomatic Approach to Risk Measures for Capital Determination. / Föllmer, Hans; Weber, Stefan.
in: Annual Review of Financial Economics, Jahrgang 7, 07.12.2015, S. 301-337.

Publikation: Beitrag in FachzeitschriftÜbersichtsarbeitForschungPeer-Review

Föllmer H, Weber S. The Axiomatic Approach to Risk Measures for Capital Determination. Annual Review of Financial Economics. 2015 Dez 7;7:301-337. doi: 10.1146/annurev-financial-111914-042031
Föllmer, Hans ; Weber, Stefan. / The Axiomatic Approach to Risk Measures for Capital Determination. in: Annual Review of Financial Economics. 2015 ; Jahrgang 7. S. 301-337.
Download
@article{1ef50168fc584bd7b9f5a97eb3ba4945,
title = "The Axiomatic Approach to Risk Measures for Capital Determination",
abstract = "The quantification of downside risk in terms of capital requirements is a key issue for both regulators and the financial industry. This review presents the axiomatic approach, which is based on monetary risk measures. These provide a unifying mathematical framework for the determination of capital requirements, for economic indices of riskiness, and for the analysis of preferences in the face of risk and Knightian uncertainty. In the special case of distribution-based risk measures, we review recent advances in characterizing their statistical properties such as elicitability and robustness.",
keywords = "Capital requirements, Elicitability, Indices of riskiness, Monetary risk measures, Robustness, Variational preferences",
author = "Hans F{\"o}llmer and Stefan Weber",
note = "Publisher Copyright: {\textcopyright}2015 by Annual Reviews. All rights reserved.",
year = "2015",
month = dec,
day = "7",
doi = "10.1146/annurev-financial-111914-042031",
language = "English",
volume = "7",
pages = "301--337",
journal = "Annual Review of Financial Economics",
issn = "1941-1367",
publisher = "Annual Reviews Inc.",

}

Download

TY - JOUR

T1 - The Axiomatic Approach to Risk Measures for Capital Determination

AU - Föllmer, Hans

AU - Weber, Stefan

N1 - Publisher Copyright: ©2015 by Annual Reviews. All rights reserved.

PY - 2015/12/7

Y1 - 2015/12/7

N2 - The quantification of downside risk in terms of capital requirements is a key issue for both regulators and the financial industry. This review presents the axiomatic approach, which is based on monetary risk measures. These provide a unifying mathematical framework for the determination of capital requirements, for economic indices of riskiness, and for the analysis of preferences in the face of risk and Knightian uncertainty. In the special case of distribution-based risk measures, we review recent advances in characterizing their statistical properties such as elicitability and robustness.

AB - The quantification of downside risk in terms of capital requirements is a key issue for both regulators and the financial industry. This review presents the axiomatic approach, which is based on monetary risk measures. These provide a unifying mathematical framework for the determination of capital requirements, for economic indices of riskiness, and for the analysis of preferences in the face of risk and Knightian uncertainty. In the special case of distribution-based risk measures, we review recent advances in characterizing their statistical properties such as elicitability and robustness.

KW - Capital requirements

KW - Elicitability

KW - Indices of riskiness

KW - Monetary risk measures

KW - Robustness

KW - Variational preferences

UR - http://www.scopus.com/inward/record.url?scp=84923305416&partnerID=8YFLogxK

U2 - 10.1146/annurev-financial-111914-042031

DO - 10.1146/annurev-financial-111914-042031

M3 - Review article

AN - SCOPUS:84923305416

VL - 7

SP - 301

EP - 337

JO - Annual Review of Financial Economics

JF - Annual Review of Financial Economics

SN - 1941-1367

ER -