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This paper considers a newly delayed reinsurance and investment optimization problem incorporating random risk aversion, in which an insurer pursues maximization of the expected certainty equivalent of her/his terminal wealth and the…

Optimization and Control · Mathematics 2026-01-23 Jian-hao Kang , Zhun Gou , Nan-jing Huang

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…

Portfolio Management · Quantitative Finance 2016-02-29 Erhan Bayraktar , David Promislow , Virginia Young

A continuous-time financial portfolio selection model with expected utility maximization typically boils down to solving a (static) convex stochastic optimization problem in terms of the terminal wealth, with a budget constraint. In…

Portfolio Management · Quantitative Finance 2022-01-07 Hanqing Jin , Zuo Quan Xu , Xun Yu Zhou

This paper studies a sequential decision problem where payoff distributions are known and where the riskiness of payoffs matters. Equivalently, it studies sequential choice from a repeated set of independent lotteries. The decision-maker is…

Theoretical Economics · Economics 2024-01-02 Zengjing Chen , Larry G. Epstein , Guodong Zhang

The decision to annuitize wealth in retirement planning has become increasingly complex due to rising longevity risk and changing retirement patterns, including increased labor force participation at older ages. While an extensive…

Mathematical Finance · Quantitative Finance 2026-02-05 Criscent Birungi , Cody Hyndman

We study Online Linear Programming (OLP) with batching. The planning horizon is cut into $K$ batches, and the decisions on customers arriving within a batch can be delayed to the end of their associated batch. Compared with OLP without…

Machine Learning · Computer Science 2024-08-02 Haoran Xu , Peter W. Glynn , Yinyu Ye

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…

Portfolio Management · Quantitative Finance 2016-05-20 Bahman Angoshtari , Erhan Bayraktar , Virginia R. Young

Previous research on option strategies has primarily focused on their behavior near expiration, with limited attention to the transient value process of the portfolio. In this paper, we formulate Iron Condor portfolio optimization as a…

Portfolio Management · Quantitative Finance 2025-01-23 Hanyue Huang , Qiguo Sun , Xibei Yang

When the planning horizon is long, and the safe asset grows indefinitely, isoelastic portfolios are nearly optimal for investors who are close to isoelastic for high wealth, and not too risk averse for low wealth. We prove this result in a…

Portfolio Management · Quantitative Finance 2014-08-19 Paolo Guasoni , Johannes Muhle-Karbe , Hao Xing

This paper investigates an optimal investment problem under the tail Value at Risk (tail VaR, also known as expected shortfall, conditional VaR, average VaR) and portfolio insurance constraints confronted by a defined-contribution pension…

Portfolio Management · Quantitative Finance 2023-09-06 Hui Mi , Zuo Quan Xu , Dongfang Yang

We consider an optimal investment and risk control problem for an insurer under the mean-variance (MV) criterion. By introducing a deterministic auxiliary process defined forward in time, we formulate an alternative time-consistent problem…

Portfolio Management · Quantitative Finance 2021-01-12 Yang Shen , Bin Zou

We propose a consumption-investment decision model where past consumption peak $h$ plays a crucial role. There are two important consumption levels: the lowest constrained level and a reference level, at which the risk aversion in terms of…

Portfolio Management · Quantitative Finance 2022-11-23 Zongxia Liang , Xiaodong Luo , Fengyi Yuan

In this paper, we investigate the Merton portfolio management problem in the context of non-exponential discounting. This gives rise to time-inconsistency of the decision-maker. If the decision-maker at time t=0 can commit his/her…

Portfolio Management · Quantitative Finance 2008-12-02 Ivar Ekeland , Traian A. Pirvu

In this report we derive the strategic (deterministic) allocation to bonds and stocks resulting in the optimal mean-variance trade-off on a given investment horizon. The underlying capital market features a mean-reverting process for equity…

Mathematical Finance · Quantitative Finance 2022-01-17 Søren Fiig Jarner

This paper studies an optimal investment and risk control problem for an insurer with default contagion and regime-switching. The insurer in our model allocates his/her wealth across multi-name defaultable stocks and a riskless bond under…

Mathematical Finance · Quantitative Finance 2018-07-17 Lijun Bo , Huafu Liao , Yongjin Wang

For $n$ assets and discrete-time rebalancing, the probability to complete a given schedule of investments and withdrawals is maximized over progressively measurable portfolio weight functions. Applications consider two assets, namely the…

Portfolio Management · Quantitative Finance 2024-10-22 Hayden Brown

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…

Machine Learning · Computer Science 2022-03-15 Shruthi Sukumar , Adrian F. Ward , Camden Elliott-Williams , Shabnam Hakimi , Michael C. Mozer

We study the optimal dividend problem in the dual model where dividend payments can only be made at the jump times of an independent Poisson process. In this context, Avanzi et al. [5] solved the case with i.i.d. hyperexponential jumps;…

Probability · Mathematics 2017-08-15 José-Luis Pérez , Kazutoshi Yamazaki

We consider a discrete-time dividend payout problem with risk sensitive shareholders. It is assumed that they are equipped with a risk aversion coefficient and construct their discounted payoff with the help of the exponential premium…

Probability · Mathematics 2017-03-08 Nicole Bäuerle , Anna Jaśkiewicz

This paper is devoted to study the effects arising from imposing a value-at-risk (VaR) constraint in mean-variance portfolio selection problem for an investor who receives a stochastic cash flow which he/she must then invest in a…

Portfolio Management · Quantitative Finance 2010-11-24 Jun Ye , Tiantian Li