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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

As machine learning models are increasingly being employed to make consequential decisions in real-world settings, it becomes critical to ensure that individuals who are adversely impacted (e.g., loan denied) by the predictions of these…

Machine Learning · Computer Science 2023-10-12 Martin Pawelczyk , Teresa Datta , Johannes van-den-Heuvel , Gjergji Kasneci , Himabindu Lakkaraju

Within the context of the banking-related literature on contingent convertible bonds, we comprehensively formalise the design and features of a relatively new type of insurance-linked security, called a contingent convertible catastrophe…

Pricing of Securities · Quantitative Finance 2018-04-24 Krzysztof Burnecki , Mario Nicoló Giuricich , Zbigniew Palmowski

We study a dynamic portfolio optimization problem related to convergence trading, which is an investment strategy that exploits temporary mispricing by simultaneously buying relatively underpriced assets and selling short relatively…

Portfolio Management · Quantitative Finance 2019-10-08 Sühan Altay , Katia Colaneri , Zehra Eksi

This work proposes a conformal approach for energy storage arbitrage to control the downside risk arising from imperfect price forecasts. Energy storage arbitrage relies solely on predictions of future market prices, while inaccurate price…

Systems and Control · Electrical Eng. & Systems 2025-12-10 Yiqian Wu , Ming Yi , Bolun Xu , James Anderson

This paper introduces a novel methodology for the pricing and management of share buyback contracts, overcoming the limitations of traditional optimal control methods, which frequently encounter difficulties with high-dimensional state…

Pricing of Securities · Quantitative Finance 2024-07-15 Bastien Baldacci , Philippe Bergault , Olivier Guéant

In this paper, we consider the chance constrained based uncertain portfolio optimization problem in which the uncertain parameters are stochastic in nature. The primary goal of the work is to formulate the uncertain problem into a…

Optimization and Control · Mathematics 2023-11-09 Pulak Swain , Akshay Kumar Ojha

In this paper, we present a probabilistic adaptation of an Assume/Guarantee contract formalism. For the sake of generality, we assume that the extended state machines used in the contracts and implementations define sets of runs on a given…

Performance · Computer Science 2009-04-20 Benoît Delahaye , Benoît Caillaud

The field of portfolio selection is an active research topic, which combines elements and methodologies from various fields, such as optimization, decision analysis, risk management, data science, forecasting, etc. The modeling and…

Portfolio Management · Quantitative Finance 2020-10-28 A. Georgantas

Many online companies sell advertisement space in second-price auctions with reserve. In this paper, we develop a probabilistic method to learn a profitable strategy to set the reserve price. We use historical auction data with features to…

Machine Learning · Statistics 2015-06-25 Maja R. Rudolph , Joseph G. Ellis , David M. Blei

This paper considers the constrained portfolio optimization in a generalized life-cycle model. The individual with a stochastic income manages a portfolio consisting of stocks, a bond, and life insurance to maximize his or her consumption…

Portfolio Management · Quantitative Finance 2024-10-29 Wenyuan Li , Pengyu Wei

Traditional insurance pricing relies on risk-based principles that ensure actuarial fairness and solvency but do not explicitly account for policyholders' price sensitivity. We formulate insurance pricing as a decision-making problem and…

Machine Learning · Statistics 2026-05-29 Sascha Günther , Dimitri Semenovich , Mario V. Wüthrich

This paper proposes a forecast-centric adaptive learning model that engages with the past studies on the order book and high-frequency data, with applications to hypothesis testing. In line with the past literature, we produce brackets of…

Statistical Finance · Quantitative Finance 2021-03-02 Parley Ruogu Yang

Multiscale stochastic volatility models have been developed as an efficient way to capture the principle effects on derivative pricing and portfolio optimization of randomly varying volatility. The recent book Fouque, Papanicolaou, Sircar…

Computational Finance · Quantitative Finance 2015-09-17 Jean-Pierre Fouque , Matthew Lorig , Ronnie Sircar

Overconservatism has long been recognized as a major issue with robust optimization, despite its key advantages of tractability, performance guarantee, and limited information. To address this issue, a new criterion is proposed that can…

Optimization and Control · Mathematics 2026-03-20 Yingjie Lan

An investor's risk aversion is assumed to tend to infinity. In a fairly general setting, we present conditions ensuring that the respective utility indifference prices of a given contingent claim converge to its super replication price.

Probability · Mathematics 2009-04-10 Laurence Carassus , Miklos Rasonyi

Sophisticated machine learning (ML) models to inform trading in the financial sector create problems of interpretability and risk management. Seemingly robust forecasting models may behave erroneously in out of distribution settings. In…

Machine Learning · Computer Science 2021-10-01 Gabriel Deza , Adelin Travers , Colin Rowat , Nicolas Papernot

Providing a measure of market risk is an important issue for investors and financial institutions. However, the existing models for this purpose are per definition symmetric. The current paper introduces an asymmetric capital asset pricing…

Pricing of Securities · Quantitative Finance 2024-05-07 Abdulnasser Hatemi-J

Possibilistic risk theory starts from the hypothesis that risk is modelled by fuzzy numbers. In particular, in a possibilistic portfolio choice problem, the return of a risky asset will be a fuzzy number. The expected utility operators have…

Portfolio Management · Quantitative Finance 2019-07-01 Irina Georgescu , Louis Aimé Fono

We consider the problem setting of prediction with expert advice with possibly heavy-tailed losses, i.e. the only assumption on the losses is an upper bound on their second moments, denoted by $\theta$. We develop adaptive algorithms that…

Machine Learning · Computer Science 2026-01-09 Antoine Moulin , Emmanuel Esposito , Dirk van der Hoeven