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One typical assumption in inverse reinforcement learning (IRL) is that human experts act to optimize the expected utility of a stochastic cost with a fixed distribution. This assumption deviates from actual human behaviors under ambiguity.…

Machine Learning · Computer Science 2019-09-25 Rui Chen , Wenshuo Wang , Zirui Zhao , Ding Zhao

In this paper, we examine the effect of background risk on portfolio selection and optimal reinsurance design under the criterion of maximizing the probability of reaching a goal. Following the literature, we adopt dependence uncertainty to…

Risk Management · Quantitative Finance 2022-01-06 Yichun Chi , Zuo Quan Xu , Sheng Chao Zhuang

To find a trade-off between profitability and prudence, financial practitioners need to choose appropriate risk measures. Two key points are: Firstly, investors' risk attitudes under uncertainty conditions should be an important reference…

Risk Management · Quantitative Finance 2019-07-30 Wentao Hu

Estimating the covariance of asset returns, i.e., the risk model, is a key component of financial portfolio construction and evaluation. Most risk modeling approaches produce a factor model that decomposes the asset variability into two…

The evolution with time of the correlation structure of equity returns is studied by means of a filtered network approach investigating persistences and recurrences and their implications for risk diversification strategies. We build…

Portfolio Management · Quantitative Finance 2014-10-22 Nicoló Musmeci , Tomaso Aste , Tiziana Di Matteo

This paper introduces a novel approach to financial risk analysis that does not rely on traditional price and market data, instead using market news to model assets as distributions over a metric space of risk factors. By representing asset…

Computational Finance · Quantitative Finance 2024-11-01 Marcus Gawronsky , Chun-Sung Huang

This paper investigates a robust optimal consumption, investment, and reinsurance problem for an insurer with Epstein-Zin recursive preferences operating under model uncertainty. The insurer's surplus follows the diffusion approximation of…

Optimization and Control · Mathematics 2025-11-06 Elizabeth Dadzie , Wilfried Kuissi-Kamdem , Marcel Ndengo

In July 2023, Nasdaq announced a `Special Rebalance' of the Nasdaq-100 index to reduce the index weights of its large constituents. A rebalance as suggested currently by Nasdaq index methodology may have several undesirable effects. These…

Portfolio Management · Quantitative Finance 2023-11-21 Johannes Ruf

This paper revisits and extends the 2013 development by Rockafellar and Uryasev of the Risk Quadrangle (RQ) as a unified scheme for integrating risk management, optimization, and statistical estimation. The RQ features four…

Optimization and Control · Mathematics 2026-03-31 Bogdan Grechuk , Anton Malandii , Terry Rockafellar , Stan Uryasev

In the present paper, the minimal investment risk for a portfolio optimization problem with imposed budget and investment concentration constraints is considered using replica analysis. Since the minimal investment risk is influenced by the…

Portfolio Management · Quantitative Finance 2017-02-21 Takashi Shinzato

Cybersecurity threat and risk analysis (RA) approaches are used to identify and mitigate security risks early-on in the software development life-cycle. Existing approaches automate only parts of the analysis procedure, leaving key…

Software Engineering · Computer Science 2022-08-04 Katja Tuma , Romy Van Der Lee

We derive a closed-form expression capturing the degree of Relative Risk Aversion (RRA) of investors for non-"fair" lotteries. We argue that our formula is superior to earlier methods that have been proposed, as it is a function of only…

General Economics · Economics 2022-11-10 George Samartzis , Nikitas Pittis

In the present work, the optimal portfolio minimizing the investment risk with cost is discussed analytically, where this objective function is constructed in terms of two negative aspects of investment, the risk and cost. We note the…

Portfolio Management · Quantitative Finance 2018-05-23 Takashi Shinzato

We study the problem of option pricing and hedging strategies within the frame-work of risk-return arguments. An economic agent is described by a utility function that depends on profit (an expected value) and risk (a variance). In the…

Statistical Mechanics · Physics 2008-12-02 Erik Aurell , Karol Życzkowski

In this paper, as a first step in examining the properties of a feasible portfolio subset that is characterized by budget and risk constraints, we assess the maximum and minimum of the investment concentration using replica analysis. To do…

Portfolio Management · Quantitative Finance 2016-08-17 Takashi Shinzato

The future value of a security is described as a random variable. Distribution of this random variable is the formal image of risk uncertainty. On the other side, any present value is defined as a value equivalent to the given future value.…

General Finance · Quantitative Finance 2013-02-05 Krzysztof Piasecki

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 propose a novel composite reward function for reinforcement learning in financial trading that balances return and risk using four differentiable terms: annualized return downside risk differential return and the Treynor ratio Unlike…

Machine Learning · Computer Science 2025-06-06 Uditansh Srivastava , Shivam Aryan , Shaurya Singh

This paper considers nonlinear regular-singular stochastic optimal control of large insurance company. The company controls the reinsurance rate and dividend payout process to maximize the expected present value of the dividend pay-outs…

Risk Management · Quantitative Finance 2010-08-31 Zongxia Liang , Jicheng Yao

We study risk sharing among agents with preferences modeled by heterogeneous distortion risk measures, who are not necessarily risk averse. Pareto optimality for agents using risk measures is often studied through the lens of…

Risk Management · Quantitative Finance 2026-03-11 Mario Ghossoub , Qinghua Ren , Ruodu Wang
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