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This paper studies the problem of optimal investment in incomplete markets, robust with respect to stopping times. We work on a Brownian motion framework and the stopping times are adapted to the Brownian filtration. Robustness can only be…

概率论 · 数学 2008-12-02 Traian A Pirvu , Ulrich G Haussmann

In this paper, we develop an expected utility model for the retirement behavior in the decumulation phase of Australian retirees with sequential family status subject to consumption, housing, investment, bequest and government provided…

经济学 · 定量金融 2016-06-30 Johan G. Andreasson , Pavel V. Shevchenko , Alex Novikov

We study the optimal investment and proportional reinsurance problem of an insurance company, whose investment preferences are described via a forward dynamic utility of exponential type in a stochastic factor model allowing for a possible…

数理金融 · 定量金融 2022-10-20 Katia Colaneri , Alessandra Cretarola , Benedetta Salterini

We study an intertemporal consumption and portfolio choice problem under Knightian uncertainty in which agent's preferences exhibit local intertemporal substitution. We also allow for market frictions in the sense that the pricing…

最优化与控制 · 数学 2020-11-10 Giorgio Ferrari , Hanwu Li , Frank Riedel

We consider a general discrete-time financial market with proportional transaction costs as in [Kabanov, Stricker and R\'{a}sonyi Finance and Stochastics 7 (2003) 403--411] and [Schachermayer Math. Finance 14 (2004) 19--48]. In addition to…

概率论 · 数学 2008-12-10 Bruno Bouchard , Huyên Pham

We determine the optimal strategies for purchasing term life insurance and for investing in a risky financial market in order to maximize the probability of reaching a bequest goal while consuming from an investment account. We extend…

投资组合管理 · 定量金融 2016-02-29 Erhan Bayraktar , David Promislow , Virginia Young

We investigate optimal consumption policies in the liquidity risk model introduced in Pham and Tankov (2007). Our main result is to derive smoothness results for the value functions of the portfolio/consumption choice problem. As an…

概率论 · 数学 2008-07-03 Alessandra Cretarola , Fausto Gozzi , Huyên Pham , Peter Tankov

We consider the problem of optimal annuitization with labour income, where an agent aims to maximize utility from consumption and labour income under age-dependent force of mortality. Using a dynamic programming approach, we derive…

投资组合管理 · 定量金融 2025-10-14 Criscent Birungi , Cody Hyndman

In this article we consider a special case of an optimal consumption/optimal portfolio problem first studied by Constantinides and Magill and by Davis and Norman, in which an agent with constant relative risk aversion seeks to maximise…

数理金融 · 定量金融 2014-09-12 David Hobson , Yeqi Zhu

I analyze long-term contracting in insurance markets with asymmetric information. The buyer privately observes her risk type, which evolves stochastically over time. A long-term contract specifies a menu of insurance policies, contingent on…

理论经济学 · 经济学 2022-09-01 Vitor Farinha Luz

This paper investigates the consumption and investment decisions of an individual facing uncertain lifespan and stochastic labor income within a Black-Scholes market framework. A key aspect of our study involves the agent's option to choose…

投资组合管理 · 定量金融 2025-06-05 An Chen , Giorgio Ferrari , Shihao Zhu

This paper studies robust forward investment and consumption preferences and optimal strategies for a risk-averse and ambiguity-averse agent in an incomplete financial market with drift and volatility uncertainties. We focus on non-zero…

投资组合管理 · 定量金融 2025-09-17 Wing Fung Chong , Gechun Liang

We consider the problem of how an individual can use term life insurance to maximize the probability of reaching a given bequest goal, an important problem in financial planning. We assume that the individual buys instantaneous term life…

数理金融 · 定量金融 2015-03-10 Erhan Bayraktar , Virginia R. Young , David Promislow

Tontines were once a popular type of mortality-linked investment pool. They promised enormous rewards to the last survivors at the expense of those died early. And, while this design appealed to the gambling instinc}, it is a suboptimal way…

数理金融 · 定量金融 2016-11-01 Moshe A. Milevsky , Thomas S. Salisbury

We consider a discrete-time version of the popular optimal dividend pay-out problem in risk theory. The novel aspect of our approach is that we allow for a risk averse insurer, i.e., instead of maximising the expected discounted dividends…

概率论 · 数学 2015-12-02 Nicole Bäuerle , Anna Jaśkiewicz

We consider a financial market model driven by an R^n-valued Gaussian process with stationary increments which is different from Brownian motion. This driving noise process consists of $n$ independent components, and each component has…

概率论 · 数学 2008-12-02 Akihiko Inoue , Yumiharu Nakano

This paper addresses the problem of determining the optimal time for an individual to convert retirement savings into a lifetime annuity. The individual invests their wealth into a dividend-paying fund that follows the dynamics of a…

数理金融 · 定量金融 2025-09-17 Matteo Buttarazzi , Tiziano De Angelis , Gabriele Stabile

This study investigates an optimal investment problem for an insurance company operating under the Cramer-Lundberg risk model, where investments are made in both a risky asset and a risk-free asset. In contrast to other literature that…

数理金融 · 定量金融 2024-06-25 J. Cerda-Hernandez , A. Sikov , A. Ramos

We show that the mutual fund theorems of Merton (1971) extend to the problem of optimal investment to minimize the probability of lifetime ruin. We obtain two such theorems by considering a financial market both with and without a riskless…

投资组合管理 · 定量金融 2008-12-10 Erhan Bayraktar , Virginia R. Young

The comparative statics of the optimal portfolios across individuals is carried out for a continuous-time complete market model, where the risky assets price process follows a joint geometric Brownian motion with time-dependent and…

投资组合管理 · 定量金融 2012-01-04 Jianming Xia