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Erschienen in: European Actuarial Journal 1/2015

01.07.2015 | Original Research Paper

Optimal supervisory rules for pension funds under diverse pension security mechanisms

verfasst von: An Chen, Simona Clever

Erschienen in: European Actuarial Journal | Ausgabe 1/2015

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Abstract

The present paper analyzes optimal supervisory rules for pension funds taking account of diverse pension security mechanisms: support provided by either a plan sponsor, a pension guarantee fund or by both. Assuming that the regulatory rule is either to control the shortfall probability or expected shortfall, we show that both the security mechanisms and risk measures used by the regulators have a substantial impact on the optimal regulation and hence need to be considered adequately when setting regulatory rules.

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Fußnoten
1
Frequently, the sponsoring company has also a claim on the pension fund’s assets. The payoff of the sponsor can be determined residually: \(\max \{X_T-\Phi _{PF}(T),0\}\).
 
2
In practice, the regulatory boundary is often at or close to 1. However, if the funding ratio is below this level this will not automatically entail liquidation of the pension fund, as a grace period is often allowed for recovery. Therefore, the effective barrier level is lower. See Broeders and Chen [2] for a formal analysis of the impact of recovery periods.
 
3
We hereby implicitly assume continuous monitoring and prompt corrective action by the regulator.
 
4
A good example here from the USA is Delphi where the retirees typically received pension payments ranging from $ 3,000 to 4,000 a month, but a 55-year old retiree could receive at most $ 2025 from the Pension Benefit Guaranty Corporation.
 
5
The order of the security mechanisms is not relevant for the results of the following analysis.
 
6
Here \(\eta \in [0,1)\).
 
Literatur
1.
Zurück zum Zitat Bikker JA, Broeders DWGA, de Dreu J (2010) Stock market performance and pension fund investment policy: rebalancing, free float, or market timing? Int J Cent Bank 6(2):53–79 Bikker JA, Broeders DWGA, de Dreu J (2010) Stock market performance and pension fund investment policy: rebalancing, free float, or market timing? Int J Cent Bank 6(2):53–79
2.
Zurück zum Zitat Broeders DWGA, Chen A (2010) Pension regulation and the market value of pension liabilities—a contingent claims analysis using Parisian options. J Bank Financ 34(6):1201–1214CrossRef Broeders DWGA, Chen A (2010) Pension regulation and the market value of pension liabilities—a contingent claims analysis using Parisian options. J Bank Financ 34(6):1201–1214CrossRef
3.
Zurück zum Zitat Broeders DWGA, Chen A (2013) Pension benefit security: a comparison of solvency requirements, a pension guarantee fund and sponsor support. J Risk Insur 80(2):239–272CrossRef Broeders DWGA, Chen A (2013) Pension benefit security: a comparison of solvency requirements, a pension guarantee fund and sponsor support. J Risk Insur 80(2):239–272CrossRef
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Metadaten
Titel
Optimal supervisory rules for pension funds under diverse pension security mechanisms
verfasst von
An Chen
Simona Clever
Publikationsdatum
01.07.2015
Verlag
Springer Berlin Heidelberg
Erschienen in
European Actuarial Journal / Ausgabe 1/2015
Print ISSN: 2190-9733
Elektronische ISSN: 2190-9741
DOI
https://doi.org/10.1007/s13385-015-0103-x

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