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This paper studies a one-sector optimal growth model with i.i.d. productivity shocks that are allowed to be unbounded. The utility function is assumed to be non-negative and unbounded from above. The novel feature in our framework is that…

Economics · Quantitative Finance 2021-07-21 Nicole Bäuerle , Anna Jaśkiewicz

We develop a finite horizon continuous time market model, where risk averse investors maximize utility from terminal wealth by dynamically investing in a risk-free money market account, a stock written on a default-free dividend process,…

Pricing of Securities · Quantitative Finance 2011-12-23 Agostino Capponi , Martin Larsson

The growing demand for intelligent applications beyond the network edge, coupled with the need for sustainable operation, are driving the seamless integration of deep learning (DL) algorithms into energy-limited, and even energy-harvesting…

Machine Learning · Computer Science 2024-11-08 Marcello Bullo , Seifallah Jardak , Pietro Carnelli , Deniz Gündüz

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 the income fluctuation problem with capital income risk (i.e., dispersion in the rate of return to wealth). Wealth returns and labor earnings are allowed to be serially correlated and mutually dependent. Rewards can be…

Theoretical Economics · Economics 2018-12-05 Qingyin Ma , John Stachurski , Alexis Akira Toda

We present an analytical model to study the role of expectation feedbacks and overlapping portfolios on systemic stability of financial systems. Building on [Corsi et al., 2016], we model a set of financial institutions having Value at Risk…

General Economics · Economics 2018-07-23 Piero Mazzarisi , Fabrizio Lillo , Stefano Marmi

We investigate a framework for robo-advisors to estimate non-expert clients' risk aversion using adaptive binary-choice questionnaires. We model risk aversion using cost functions and spectral risk measures in a static setting. We prove the…

Machine Learning · Statistics 2025-12-25 Ziteng Cheng , Anthony Coache , Sebastian Jaimungal

We constructively prove the existence of time-discrete consumption processes for stochastic money accounts that fulfill a pre-specified positively homogeneous projection property (PHPP) and let the account always be positive and exactly…

General Finance · Quantitative Finance 2012-06-21 Tom Fischer

This paper presents a method for incorporating risk aversion into existing decision tree models used in economic evaluations. The method involves applying a probability weighting function based on rank dependent utility theory to reduced…

Theoretical Economics · Economics 2024-01-24 Jacob Smith

We consider an irreversible investment problem under incomplete information, where the investor decides whether and when to make investments in a project. Upon investment, the investor acquires previously hidden information from the…

Optimization and Control · Mathematics 2025-10-01 Topias Tolonen-Weckström

This paper investigates the optimal investment, consumption, and life insurance strategies for households under the impact of health shock risk. Considering the uncertainty of the future health status of family members, a non-homogeneous…

Applications · Statistics 2024-02-02 Zhen Zhao , Wei Liu , Xiaoyi Tang

In this paper, we propose a new class of optimization problems, which maximize the terminal wealth and accumulated consumption utility subject to a mean variance criterion controlling the final risk of the portfolio. The multiple-objective…

Mathematical Finance · Quantitative Finance 2020-11-30 Ben-Zhang Yang , Xin-Jiang He , Song-Ping Zhu

We explore intertemporal preferences that are recursive and account for local intertemporal substitution. First, we establish a rigorous foundation for these preferences and analyze their properties. Next, we examine the associated optimal…

Optimization and Control · Mathematics 2024-09-13 Hanwu Li , Frank Riedel

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…

Portfolio Management · Quantitative Finance 2012-01-04 Jianming Xia

In this paper the fractional trading ansatz of money management is reconsidered with special attention to chance and risk parts in the goal function of the related optimization problem. By changing the goal function with due regards to…

Risk Management · Quantitative Finance 2016-12-12 Stanislaus Maier-Paape

We study optimal portfolio choice under Epstein-Zin recursive utility in the presence of general leverage constraints. We first establish that the optimal value function is the unique viscosity solution to the associated…

Portfolio Management · Quantitative Finance 2025-10-24 Dejian Tian , Weidong Tian , Jianjun Zhou , Zimu Zhu

Understanding consumption dynamics and its impact on the whole economy and welfare within the present economic crisis is not an easy task. Indeed the level of consumer demand for different goods varies with the prices, consumer incomes and…

General Finance · Quantitative Finance 2017-05-11 Roberto De Luca , Marco Di Mauro , Angelo Falzarano , Adele Naddeo

We consider a stochastic inventory control problem under censored demands, lost sales, and positive lead times. This is a fundamental problem in inventory management, with significant literature establishing near-optimality of a simple…

Machine Learning · Computer Science 2019-05-14 Shipra Agrawal , Randy Jia

We study hedging and pricing of unattainable contingent claims in a non-Markovian regime-switching financial model. Our financial market consists of a bank account and a risky asset whose dynamics are driven by a Brownian motion and a…

Pricing of Securities · Quantitative Finance 2013-03-19 Łukasz Delong , Antoon Pelsser

We model the behavioral biases of human decision-making in securing interdependent systems and show that such behavioral decision-making leads to a suboptimal pattern of resource allocation compared to non-behavioral (rational)…

Cryptography and Security · Computer Science 2020-11-25 Mustafa Abdallah , Daniel Woods , Parinaz Naghizadeh , Issa Khalil , Timothy Cason , Shreyas Sundaram , Saurabh Bagchi
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