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Cross-sectional age-skill profiles suggest that workers' cognitive skills start declining by their thirties if not earlier. If accurate, such age-driven skill losses pose a major threat to the human capital of societies with rapidly aging…

General Economics · Economics 2025-05-08 Eric A. Hanushek , Lavinia Kinne , Frauke Witthoeft , Ludger Woessmann

We consider a large, homogeneous portfolio of life or disability annuity policies. The policies are assumed to be independent conditional on an external stochastic process representing the economic-demographic environment. Using a…

Risk Management · Quantitative Finance 2014-08-27 Boualem Djehiche , Björn Löfdahl

In an incomplete financial market with general continuous semimartingale dynamics; we model an investor with log-utility preferences who, in addition to an initial capital, receives units of a non-traded endowment process. Using duality…

Mathematical Finance · Quantitative Finance 2026-01-23 Michail Anthropelos , Constantinos Kardaras , Constantinos Stefanakis

For many households, investing for retirement is one of the most significant decisions and is fraught with uncertainty. In a classic study in behavioral economics, Benartzi and Thaler (1999) found evidence using bar charts that investors…

Human-Computer Interaction · Computer Science 2021-07-28 Ryan Wesslen , Alireza Karduni , Douglas Markant , Wenwen Dou

There is little disagreement among insurance actuaries and financial economists about the societal benefits of longevity-risk pooling in the form of life annuities, defined benefit pensions, self-annuitization funds, and even tontine…

Risk Management · Quantitative Finance 2024-02-02 Jan L. M. Dhaene , Moshe A. Milevsky

This paper provides an analysis of the effects of attrition and non-response on employment and wages using the Canadian Survey of Labour and Income Dynamics. We consider a structural model composed of three freely correlated equations for…

Applications · Statistics 2007-10-25 Brahim Boudarbat , Lee Grenon

We study the problem of optimal liquidity withdrawal for a representative liquidity provider (LP) in an automated market maker (AMM). LPs earn fees from trading activity but are exposed to impermanent loss (IL) due to price fluctuations.…

Trading and Market Microstructure · Quantitative Finance 2025-10-21 Philippe Bergault , Sébastien Bieber , Leandro Sánchez-Betancourt

This paper considers the portfolio management problem of optimal investment, consumption and life insurance. We are concerned with time inconsistency of optimal strategies. Natural assumptions, like different discount rates for consumption…

Optimization and Control · Mathematics 2011-07-25 Ivar Ekeland , Oumar Mbodji , Traian A. Pirvu

This paper considers nonlinear regular-singular stochastic optimal control of large insurance company. The company controls the reinsurance rate and dividend payout process to maximize the expected present value of the dividend pay-outs…

Risk Management · Quantitative Finance 2010-08-31 Zongxia Liang , Jicheng Yao

We consider the impact of ambiguity on the optimal timing of a class of two-dimensional integral option contracts when the exercise payoff is a positively homogeneous measurable function. Hence, the considered class of exercise payoffs…

Mathematical Finance · Quantitative Finance 2019-06-19 Luis H. R. Alvarez E. , Sören Christensen

We introduce a linear space of finitely additive measures to treat the problem of optimal expected utility from consumption under a stochastic clock and an unbounded random endowment process. In this way we establish existence and…

Probability · Mathematics 2008-12-10 Gordan Zitkovic

We determine the optimal amount of life insurance for a household of two wage earners. We consider the simple case of exponential utility, thereby removing wealth as a factor in buying life insurance, while retaining the relationship among…

Portfolio Management · Quantitative Finance 2013-06-28 Erhan Bayraktar , Virginia R. Young

We study a problem of utility maximization under model uncertainty with information including jumps. We prove first that the value process of the robust stochastic control problem is described by the solution of a quadratic-exponential…

Probability · Mathematics 2016-10-11 Monique Jeanblanc , Anis Matoussi , Armand Ngoupeyou

In this paper, we study expected utility maximization under ratchet and drawdown constraints on consumption in a general incomplete semimartingale market using duality methods. The optimization is considered with respect to two parameters:…

Optimization and Control · Mathematics 2022-07-19 Anastasiya Tanana

The long term estimation of the Marxist average rate of profit does not adhere to a theoretically grounded standard regarding which economic activities should or should not be included for such purposes, which is relevant because…

General Economics · Economics 2026-01-21 Jose Mauricio Gomez Julian

Currently, pension providers are running into trouble mainly due to the ultra-low interest rates and the guarantees associated to some pension benefits. With the aim of reducing the pension volatility and providing adequate pension levels…

Risk Management · Quantitative Finance 2020-08-07 M. Carmen Boado-Penas , Julia Eisenberg , Paul Krühner

Both inflation and unemployment inflict social losses. When a tradeoff exists between the two, what would be the best combination of inflation and unemployment? A well known approach in economics to address this question consists to write…

Optimization and Control · Mathematics 2015-10-02 Monika Dryl , Agnieszka B. Malinowska , Delfim F. M. Torres

We provide an extension of the explicit solution of a mixed optimal stopping-optimal stochastic control problem introduced by Henderson and Hobson. The problem examines wether the optimal investment problem on a local martingale financial…

Portfolio Management · Quantitative Finance 2015-02-13 Emilie Fabre , Guillaume Royer , Nizar Touzi

Motivated by recent results on the dual formulation of optimal stopping problems, we investigate in this short paper how the knowledge of an approximating dual martingale can improve the efficiency of primal methods. In particular, we show…

Computational Finance · Quantitative Finance 2026-02-11 Aurélien Alfonsi , Ahmed Kebaier , Jérôme Lelong

This paper proposes a paradigm shift in the valuation of long term annuities, away from classical no-arbitrage valuation towards valuation under the real world probability measure. Furthermore, we apply this valuation method to two examples…

Mathematical Finance · Quantitative Finance 2017-11-09 Kevin Fergusson , Eckhard Platen
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