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This paper introduces an economic framework to assess optimal longevity risk transfers between institutions, focusing on the interactions between a buyer exposed to long-term longevity risk and a seller offering longevity protection. While…

General Economics · Economics 2026-05-26 David Landriault , Bin Li , Hong Li , Yuanyuan Zhang

In life insurance, life tables are used to estimate the survival distribution of individuals from a given population. However, these tables only provide survival probabilities at integer ages but no information about the distribution of…

Risk Management · Quantitative Finance 2026-03-19 Jean-Loup Dupret , Edouard Motte

In a collectivised pension fund, investors agree that any money remaining in the fund when they die can be shared among the survivors. We compute analytically the optimal investment-consumption strategy for a fund of $n$ identical investors…

Portfolio Management · Quantitative Finance 2019-11-25 John Armstrong , Cristin Buescu

Birth rates have dramatically decreased and, with continuous improvements in life expectancy, pension expenditure is on an irreversibly increasing path. This will raise serious concerns for the sustainability of the public pension systems…

Risk Management · Quantitative Finance 2020-01-01 M. Carmen Boado-Penas , Julia Eisenberg , Ralf Korn

A collectivised fund is a proposed form of pension investment, in which all investors agree that any funds associated with deceased members should be split among survivors. For this to be a viable financial product, it is necessary to know…

Portfolio Management · Quantitative Finance 2020-04-06 John Armstrong , Cristin Buescu

In this paper, we study a stochastic optimal control problem with stochastic volatility. We prove the sufficient and necessary maximum principle for the proposed problem. Then we apply the results to solve an investment, consumption and…

Portfolio Management · Quantitative Finance 2018-08-15 Rodwell Kufakunesu , Calisto Guambe

In this paper we consider reinsurance or risk sharing from a macroeconomic point of view. Our aim is to find socially optimal reinsurance treaties. In our setting we assume that there are $n$ insurance companies each bearing a certain risk…

Risk Management · Quantitative Finance 2021-07-21 Nicole Bäuerle , Alexander Glauner

This paper develops a dynamic equilibrium model of the insurance market that jointly characterizes insurers' underwriting, investment, recapitalization, and dividend policies under model uncertainty and financial frictions. Competitive…

Risk Management · Quantitative Finance 2026-03-20 Bingzheng Chen , Jan Dhaene , Chun Liu , Shunzhi Pang

Efficient risk transfer is an important condition for ensuring the sustainability of a market according to the established economics literature. In an inefficient market, significant financial imbalances may develop and potentially…

General Economics · Economics 2023-08-17 Henry Skeoch , Christos Ioannidis

We are concerned with the market-consistent valuation of lifelong health insurance products, which are subject to adjustments derived from the actuarial equivalence principle and driven by (medical) inflation. Such products are…

Mathematical Finance · Quantitative Finance 2026-04-30 Simon Hochgerner , Jonas Ingmanns , Nicole Kastanek

In economic analysis, rational decision-makers often take actions to reduce their risk exposure. These actions include purchasing market insurance and implementing prevention measures to modify the shape of the loss distribution. Under the…

Risk Management · Quantitative Finance 2025-02-24 Qiqi Li , Wei Wang , Yiying Zhang

The aim of this paper is to compare two asset allocation methods for a pension scheme during the decumulation phase in the simplified portfolio selection between a risky asset following a geometric Brownian motion and a riskless asset. The…

Portfolio Management · Quantitative Finance 2010-01-13 Frédéric Planchet , Pierre-Emanuel Thérond

In high-risk environments, traditional indemnity insurance is often unaffordable or ineffective, despite its well-known optimality under expected utility. We compare excess-of-loss indemnity insurance with parametric insurance within a…

General Economics · Economics 2026-02-10 Benjamin Avanzi , Debbie Kusch Falden , Mogens Steffensen

Systemic risk arises as a multi-layer network phenomenon. Layers represent direct financial exposures of various types, including interbank liabilities, derivative- or foreign exchange exposures. Another network layer of systemic risk…

Risk Management · Quantitative Finance 2018-03-13 Anton Pichler , Sebastian Poledna , Stefan Thurner

In this paper we investigate the hedging problem of a unit-linked life insurance contract via the local risk-minimization approach, when the insurer has a restricted information on the market. In particular, we consider an endowment…

Mathematical Finance · Quantitative Finance 2017-09-26 Claudia Ceci , Katia Colaneri , Alessandra Cretarola

In this paper, we investigate the optimization of mutual proportional reinsurance --- a mutual reserve system that is intended for the collective reinsurance needs of homogeneous mutual members, such as P&I Clubs in marine mutual insurance…

Optimization and Control · Mathematics 2011-12-20 John Liu , Michael Taksar , Jiguang Yuan

This paper investigates the robust {non-zero-sum} games in an aggregated {overfunded} defined benefit (abbr. DB) pension plan. The sponsoring firm is concerned with the investment performance of the fund surplus while the participants act…

Risk Management · Quantitative Finance 2021-03-17 Guohui Guan , Jiaqi Hu , Zongxia Liang

This paper discusses the financial risks faced by the UK Pension Protection Fund (PPF) and what, if anything, it can do about them. It draws lessons from the regulatory regimes under which other financial institutions, such as banks and…

Risk Management · Quantitative Finance 2011-03-31 David Blake , John Cotter , Kevin Dowd

Variable annuities, as a class of retirement income products, allow equity market exposure for a policyholder's retirement fund with electable additional guarantees to limit the downside risk of the market. Management fees and guarantee…

Pricing of Securities · Quantitative Finance 2017-05-12 Jin Sun , Pavel V. Shevchenko , Man Chung Fung

This paper proposes a simulation-based framework for assessing and improving the performance of a pension fund management scheme. This framework is modular and allows the definition of customized performance metrics that are used to assess…

Optimization and Control · Mathematics 2026-03-17 Raphael Chinchilla , Thomas D. Rueter , Timothy R. McDade , Peter R. Fisher , Emmanuel Candes , Trevor Hastie , Stephen Boyd