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We consider the holder of an individual tontine retirement account, with maximum and minimum withdrawal amounts (per year) specified. The tontine account holder initiates the account at age 65, and earns mortality credits while alive, but…

计算金融 · 定量金融 2022-11-22 Peter A. Forsyth , Kenneth R. Vetzal , G. Westmacott

We consider the problem of seeking an optimal set of model points associated to a fixed portfolio of life insurance policies. Such an optimal set is characterized by minimizing a certain risk functional, which gauges the average discrepancy…

证券定价 · 定量金融 2020-03-24 Enrico Ferri

In this paper we consider an optimal investment and reinsurance problem with partially unknown model parameters which are allowed to be learned. The model includes multiple business lines and dependence between them. The aim is to maximize…

最优化与控制 · 数学 2025-10-16 Nicole Bäuerle , Gregor Leimcke

Individuals are often faced with temptations that can lead them astray from long-term goals. We're interested in developing interventions that steer individuals toward making good initial decisions and then maintaining those decisions over…

机器学习 · 计算机科学 2022-03-15 Shruthi Sukumar , Adrian F. Ward , Camden Elliott-Williams , Shabnam Hakimi , Michael C. Mozer

We study the problem of active portfolio management where an investor aims to outperform a benchmark strategy's risk profile while not deviating too far from it. Specifically, an investor considers alternative strategies whose terminal…

数理金融 · 定量金融 2022-06-22 Silvana Pesenti , Sebastian Jaimungal

The basic financial purpose of an enterprise is maximization of its value. Trade credit management should also contribute to realization of this fundamental aim. Many of the current asset management models that are found in financial…

投资组合管理 · 定量金融 2013-01-17 Grzegorz Michalski

One of the crucial problems in mathematical finance is to mitigate the risk of a financial position by setting up hedging positions of eligible financial securities. This leads to focusing on set-valued maps associating to any financial…

数理金融 · 定量金融 2017-11-02 Michel Baes , Cosimo Munari

This paper is concerned with an optimal reinsurance and investment problem for an insurance firm under the criterion of mean-variance. The driving Brownian motion and the rate in return of the risky asset price dynamic equation cannot be…

最优化与控制 · 数学 2020-06-04 Shihao Zhu , Jingtao Shi

This paper investigates the problem of maximizing expected terminal utility in a discrete-time financial market model with a finite horizon under non-dominated model uncertainty. We use a dynamic programming framework together with…

数理金融 · 定量金融 2017-10-03 Laurence Carassus , Romain Blanchard

This paper considers an optimal control of a big financial company with debt liability under bankrupt probability constraints. The company, which faces constant liability payments and has choices to choose various production/business…

风险管理 · 定量金融 2010-08-11 Zongxia Liang , Bin Sun

Retirees who exhaust their savings while still alive are said to experience financial ruin. These savings are typically grown during the accumulation phase then spent during the retirement decumulation phase. Extensive research into…

综合金融 · 定量金融 2015-09-10 Christopher J. Rook

We establish when the two problems of minimizing a function of lifetime minimum wealth and of maximizing utility of lifetime consumption result in the same optimal investment strategy on a given open interval $O$ in wealth space. To answer…

最优化与控制 · 数学 2008-12-02 Erhan Bayraktar , Virginia R. Young

This paper concerns discrete-time infinite-horizon stochastic control systems with Borel state and action spaces and universally measurable policies. We study optimization problems on strategic measures induced by the policies in these…

最优化与控制 · 数学 2023-12-22 Huizhen Yu

We develop a theory for pricing non-diversifiable mortality risk in an incomplete market. We do this by assuming that the company issuing a mortality-contingent claim requires compensation for this risk in the form of a pre-specified…

证券定价 · 定量金融 2008-12-02 Moshe A. Milevsky , S. David Promislow , Virginia R. Young

Any firm whose business strategy has an exposure constraint that limits its potential gain naturally considers expansion, as this can increase its exposure. We model business expansion as an enlargement of the opportunity set for business…

风险管理 · 定量金融 2021-12-14 Ling Wang , Kexin Chen , Mei Choi Chiu , Hoi Ying Wong

It is well-known that Excess-of-Loss reinsurance has more marketability than Stop-Loss reinsurance, though Stop-Loss reinsurance is the most prominent setting discussed in the optimal (re)insurance design literature. We point out that…

应用统计 · 统计学 2024-05-02 Ernest Aboagye , Vali Asimit , Tsz Chai Fung , Liang Peng , Qiuqi Wang

In recent decades, companies have frequently adopted share repurchase programs to return capital to shareholders or for other strategic purposes, instructing investment banks to rapidly buy back shares on their behalf. When the executing…

证券定价 · 定量金融 2026-01-27 Stefano Corti , Roberto Daluiso , Andrea Pallavicini

In this paper, we study an optimal insurance problem for a risk-averse individual who seeks to maximize the rank-dependent expected utility (RDEU) of her terminal wealth, and insurance is priced via a general distortion-deviation premium…

风险管理 · 定量金融 2022-02-08 Xiaoqing Liang , Ruodu Wang , Virginia Young

In this paper, we study the problem of expected utility maximization of an agent who, in addition to an initial capital, receives random endowments at maturity. Contrary to previous studies, we treat as the variables of the optimization…

概率论 · 数学 2008-12-10 Julien Hugonnier , Dmitry Kramkov

We assume that an individual invests in a financial market with one riskless and one risky asset, with the latter's price following geometric Brownian motion as in the Black-Scholes model. Under a constant rate of consumption, we find the…

投资组合管理 · 定量金融 2016-05-20 Bahman Angoshtari , Erhan Bayraktar , Virginia R. Young