Pension Benefit Security: A Comparison of Solvency Requirements, a Pension Guarantee Fund, and Sponsor Support

AuthorDirk Broeders,An Chen
Published date01 June 2013
Date01 June 2013
DOIhttp://doi.org/10.1111/j.1539-6975.2012.01465.x
C
The Journal of Risk and Insurance, 2013, Vol. 80, No. 2, 239-272
DOI: 10.1111/j.1539-6975.2012.01465.x
PENSION BENEFIT SECURITY:ACOMPARISON OF
SOLVENCY REQUIREMENTS,APENSION GUARANTEE
FUND,AND SPONSOR SUPPORT
Dirk Broeders
An Chen
ABSTRACT
Developed countries apply different security mechanisms in regulation to
protect pension benefits: solvency requirements, a pension guarantee fund
(PGF), and sponsor support. We compare these mechanisms for a general-
ized form of hybrid pension schemes. We calculate the expected log return
for the beneficiaries, the shortfall probability, that is, the likelihood of the
pension payment falling below the promised level and the expected loss
given shortfall. Comparing solvency requirements to a pension guarantee
system or sponsor support involves trading off risk and return. Additional
spending on default insurance reduces the shortfall probability and the ex-
pected loss given shortfall but also lowers the probability of high positive
returns as are feasible under solvency requirements.
INTRODUCTION
An occupational pension plan is a financial contract between an employer and its
(former) employees aimed at providing a supplementary retirement income. The
employer is often called the pension plan sponsor and the (former) employees the
beneficiaries. The accumulated pension assets and liabilities are in many cases admin-
istered by a pension fund.1Therefore, pension assets are typically placed bankruptcy
remote in a pension fund. Funding a pension plan boils down to accumulating suf-
ficient assets to pay future benefits. A pension plan is fully funded if the value of
pension assets is at least equal to that of pension liabilities.
Dirk Broeders is at De Nederlandsche Bank (DNB), Supervisory Policy Division, Strategy
Department, P.O.Box 98, 1000 AB Amsterdam, the Netherlands. An Chen is at the Department
of Economics, University of Bonn, Adenauerallee 24-42, 53113 Bonn, Germany. Broeders can
be contacted via e-mail: dirk.broeders@dnb.nl. The authors are grateful to two anonymous
referees, Anna Rita Bacinello, Paul Cavelaars, Marien de Haan, Birgit Koos, Jing Li, Marco
Navone, and David Rijsbergen. The views expressed in this article are personal and do not
necessarily reflect those of DNB or the University of Bonn.
1Sometimes, this role may also be performed by an insurance company or directly by the
sponsor. If pension assets and liabilities are “on balance sheet” items of the sponsor, the
beneficiaries are directly exposed to the sponsor’s default risk.
239
240 THE JOURNAL OF RISK AND INSURANCE
The pension fund’s assets are invested in capital markets and as such exposed to
market risks. In addition, the pension fund is exposed to a variety of other risks,
including longevity risk, inflation risk, liquidity risk, and the sponsor’s default risk.
These risks relate to the mismatch of assets and liabilities. If all future cash out-
flows constituting the pension fund’s liabilities match the future cash inflows gen-
erated by its assets, then mismatch risk is negligible. However, if such a match
cannot be realized, then shortfalls or surpluses will occur in the future. The prin-
cipal duty of pension fund trustees is to keep these risks within acceptable limits so
that the beneficiaries’ entitlements are secured. In practice, the mismatch between
assets and liabilities is often large. This is typically true for defined benefit pen-
sion plans, where beneficiaries receive a minimum guaranteed income after retire-
ment. This amount is usually related to years of service and income.2The mismatch
risks or funding risks need to be absorbed by one or more of the pension fund’s
stakeholders.
This article, to the best of our knowledge, is the first to rigorously analyze secu-
rity mechanisms focusing on protecting pension benefits. We consider three security
mechanisms to allocate the risks across stakeholders: solvency requirements in which
case the pension fund does not share risks with external shareholders but holds addi-
tional assets over the liabilities as means of a buffer, a government-imposed pension
guarantee fund (PGF) in which the funding risks are borne by the pension guaran-
tee fund, and a sponsor guarantee in which the funding risks are absorbed by the
corporate shareholders.3This analysis is relevant to the current debate within the Eu-
ropean Union on equivalent regulatory regimes. Historically, the different European
countries developed divergent pension systems and consequently diverse regulatory
regimes. The European Commission (2010) recently issued a “green paper” on ade-
quate, sustainable, and safe pension systems. Part of this common goal is to bridge
the gap between different regulatory regimes. The current article is also relevant for
corporations dealing with the funding decisions of their pension plans. Finally, this
study provides a theoretical framework for PGF to set a fair price on their exposures.
However,it should be acknowledged that in practice implementing a fair price-setting
mechanism is often thwarted by political or practical considerations.
This article begins with describing the solvency requirements, the PGF, and sponsor
support in the “Different Security Mechanism” section. The “Problem Setup”outlines
the pension contract payoff and the economic environment, followed by the “Bench-
mark Model: Solvency Requirements” section where we analyze the solvency re-
quirements. The performance of the PGF and the sponsor support is addressed in
the “Protection by a Pension Guarantee Fund”and “Sponsor Support” sections, re-
spectively.The “A Further Discussion of Security Mechanisms” section compares the
three security mechanisms. The final section highlights the main conclusions. Techni-
cal derivations are available upon request or at: www.bwl3.uni-bonn.de/institut/dr-
chen.
2The alternative is a defined contribution plan in which the amount of the employer’s annual
contribution is specified. In this case the pension depends on the cumulative contributions
and investment returns.
3Other security mechanisms arecontribution adjustments and benefit adjustments. See CEIOPS
(2008). In these cases the beneficiaries are the key risk bearers.
PENSION BENEFIT SECURITY 241
DIFFERENT SECURITY MECHANISM
This section focuses on providing some background information on the three security
mechanisms: solvency requirements, a pension guarantee fund, and sponsor support.
Solvency Requirements
The objective of supervision of pension funds is to offer a high degree of security to
(future) retirees. As a first security mechanism pension funds in some jurisdictions are
required to hold a solvency margin of additional assets over the marked-to-market
value of pension benefits. This solvency margin is intended to absorb the risks inherent
in possible changes in the value of assets and liabilities. The additional assets are also
known as “regulatory capital” or “regulatory own funds” (see EuropeanCommission,
2003).
The additional assets over the liabilities can be used to absorb losses from adverse
events on the financial markets or in the development of the liabilities. Typicaladverse
events include a sharp decline in interest rates, a steep fall in stock prices, and an
increase in longevity estimations. The calculation of the amount of regulatory own
funds can, for instance, be based on a value-at-risk (VaR) risk measure for a specific
time horizon and confidence level.4This means that, theoretically, the required buffer
is at least sufficient to prevent a fund’s assets from falling below the level of its
liabilities within a certain probability margin. Examples of solvency regimesare found
in Denmark (Jørgensen, 2002) and in the Netherlands (Broeders and Pr¨
opper, 2010).5
Solvency requirements for pension funds raise the question whether or not Solvency
II for insurance companies (European Commission, 2009) should also be applied to
pension funds. Pension funds and life insurers are, after all, competing with each
other across Europe. Pension funds in several member states are offering similar
products as insurance companies but without the same regulatory capital require-
ments. The European insurance and reinsurance federation (CEA, 2008) argues that
there is no reason why beneficiaries of pension funds should have a lower security
level than beneficiaries of pensions provided by life insurance companies. The Eu-
ropean Federation for Retirement Provision, however, puts forward that applying
the proposed Solvency II directive to pension funds would result in many sponsors
withdrawing from defined benefit pensions and, hence, substantially reduced retire-
ment incomes (EFRP, 2008). It would also cause substantial shifts from equity to bond
investments, affecting financial markets. Solvency II advocates risk-based regulation,
which focuses on downside risk. It suggests using risk measures like default probabil-
ity and loss given default. In the “Risk-Based Capital Requirements Under Solvency
II” section we will discuss risk-based solvency requirements in detail.
Pension Guarantee Fund
A PGF may also operate as the guarantor of defined pension benefits. In this case
risks are effectively pooled with other pension funds and corporations. Such a system
4Alternatively, Butsic (1994) uses expected policyholder’s deficit as the solvency measure.
Olivieri and Pitacco (2003) specifically look at solvency requirements and longevity risk.
5In the Netherlands, for example, regulatory capital for pension funds is calibrated on a 1-year
default probability of 2.5 percent.

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