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It is well known that quantile regression model minimizes the portfolio extreme risk, whenever the attention is placed on the estimation of the response variable left quantiles. We show that, by considering the entire conditional…

Portfolio Management · Quantitative Finance 2015-07-02 Giovanni Bonaccolto , Massimiliano Caporin , Sandra Paterlini

The risk of dying increases exponentially with age, in humans as well as in many other species. This increase is often attributed to the "accumulation of damage" known to occur in many biological structures and systems. The aim of this…

Populations and Evolution · Quantitative Biology 2020-07-01 Anders Ledberg

We pose the decumulation strategy for a Defined Contribution (DC) pension plan as a problem in optimal stochastic control. The controls are the withdrawal amounts and the asset allocation strategy. We impose maximum and minimum constraints…

Computational Finance · Quantitative Finance 2020-08-18 Peter A. Forsyth

As life expectancy in Kenya increases, so does the need for efficient pension schemes that can secure a dignified retirement and protect members from old age poverty. Limited research, however, has explored the efficiency of these schemes…

Risk Management · Quantitative Finance 2025-11-17 Sylvester Willys Namagwa

As the developed world replaces Defined Benefit (DB) pension plans with Defined Contribution (DC) plans, there is a need to develop decumulation strategies for DC plan holders. Optimal decumulation can be viewed as a problem in optimal…

Optimization and Control · Mathematics 2025-02-25 Peter A. Forsyth , Yuying Li

Risk contributions of portfolios form an indispensable part of risk adjusted performance measurement. The risk contribution of a portfolio, e.g., in the Euler or Aumann-Shapley framework, is given by the partial derivatives of a risk…

Risk Management · Quantitative Finance 2022-11-14 Akif Ince , Ilaria Peri , Silvana Pesenti

In this paper we assume a multivariate risk model has been developed for a portfolio and its capital derived as a homogeneous risk measure. The Euler (or gradient) principle, then, states that the capital to be allocated to each component…

Computation · Statistics 2015-08-06 Rodrigo S. Targino , Gareth W. Peters , Pavel V. Shevchenko

We study an asset allocation stochastic problem with restriction for a defined-contribution pension plan during the accumulation phase. We consider a financial market with stochastic interest rate, composed of a risk-free asset, a real zero…

Portfolio Management · Quantitative Finance 2018-08-23 Calisto Guambe , Rodwell Kufakunesu , Gusti Van Zyl , Conrad Beyers

This paper studies the optimal investment problem for a hybrid pension plan under model uncertainty, where both the contribution and the benefit are adjusted depending on the performance of the plan. Furthermore, an age and time-dependent…

Optimization and Control · Mathematics 2023-02-07 Ke Fu , Ximin Rong , Hui Zhao

The efficiency of pension schemes in Kenya invites elevated interest owing to the increasing pension contribution amounts and the expectation that benefits paid out of these schemes would protect members from old age poverty. The study…

Risk Management · Quantitative Finance 2025-11-17 Sylvester Willys Namagwa

In many countries life expectancy gains have been substantially higher than predicted by even recent forecasts. This is primarily due to increasing rates of improvement in old-age mortality not captured by existing models. In this paper we…

Methodology · Statistics 2021-09-07 Søren Fiig Jarner

Despite the fact that the Euler allocation principle has been adopted by many financial institutions for their internal capital allocation process, a comprehensive description of Euler allocation seems still to be missing. We try to fill…

Portfolio Management · Quantitative Finance 2008-12-02 Dirk Tasche

Elderly ICU patients with coexisting diabetes mellitus and heart failure experience markedly elevated short-term mortality, yet few predictive models are tailored to this high-risk group. Diabetes mellitus affects nearly 30% of U.S. adults…

Applications · Statistics 2025-06-19 Junyi Fan , Shuheng Chen , Li Sun , Yong Si , Elham Pishgar , Kamiar Alaei , Greg Placencia , Maryam Pishgar

Flexibility of energy consumption can be harnessed for the purposes of ancillary services in a large power grid. In prior work by the authors a randomized control architecture is introduced for individual loads for this purpose. In examples…

Optimization and Control · Mathematics 2016-08-10 Yue Chen , Ana Bušić , Sean Meyn

Mortality patterns at a subnational level or across subpopulations are often used to examine the health of a population. In small populations, however, death counts are erratic. To deal with this problem, demographers have proposed…

Methodology · Statistics 2023-03-21 Esther Denecke , Pavel Grigoriev , Roland Rau

Systemic risk is the risk that a company- or industry-level risk could trigger a huge collapse of another or even the whole institution. Various systemic risk measures have been proposed in the literature to quantify the domino and…

Risk Management · Quantitative Finance 2024-05-14 Tong Pu , Yifei Zhang , Yiying Zhang

\noindent The modal age at death is an increasingly used measure for understanding longevity and mortality patterns. However, existing estimation methods focus on point estimates, overlooking the inherent variability and uncertainty in…

Applications · Statistics 2025-10-07 Silvio C. Patricio , Paola Vazquez-Castillo

We investigate the extent to which groups with elevated mortality rates ex ante might opt out of guaranteed national pensions in favour of demographically aligned plans, which we label equitable longevity risk sharing (ELRiS) pools, even if…

General Economics · Economics 2025-12-02 Moshe A. Milevsky , Thomas S. Salisbury , Robyn Allen

Using an extended version of the credit risk model CreditRisk+, we develop a flexible framework with numerous applications amongst which we find stochastic mortality modelling, forecasting of death causes as well as profit and loss…

Risk Management · Quantitative Finance 2016-11-28 Jonas Hirz , Uwe Schmock , Pavel V. Shevchenko

Risk prediction is central to both clinical medicine and public health. While many machine learning models have been developed to predict mortality, they are rarely applied in the clinical literature, where classification tasks typically…

Machine Learning · Statistics 2017-12-05 Maggie Makar , Marzyeh Ghassemi , David Cutler , Ziad Obermeyer