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Based on a point of view that solvency and security are first, this paper considers regular-singular stochastic optimal control problem of a large insurance company facing positive transaction cost asked by reinsurer under solvency…

Risk Management · Quantitative Finance 2010-12-22 Zongxia Liang , Jicheng Yao

This paper considers an insurer with two collaborating business lines that must make three critical decisions: (1) dividend payout, (2) a combination of proportional and excess-of-loss reinsurance coverage, and (3) capital injection between…

Optimization and Control · Mathematics 2025-11-17 Tim J. Boonen , Engel John C. Dela Vega

This paper is concerned with a pairs trading rule. The idea is to monitor two historically correlated securities. When divergence is underway, i.e., one stock moves up while the other moves down, a pairs trade is entered which consists of a…

Pricing of Securities · Quantitative Finance 2013-02-26 Qingshuo Song , Qing Zhang

Boosting techniques and neural networks are particularly effective machine learning methods for insurance pricing. Often in practice, there are nevertheless endless debates about the choice of the right loss function to be used to train the…

Machine Learning · Statistics 2021-07-12 Michel Denuit , Arthur Charpentier , Julien Trufin

We study the optimal portfolio liquidation problem over a finite horizon in a limit order book with bid-ask spread and temporary market price impact penalizing speedy execution trades. We use a continuous-time modeling framework, but in…

Probability · Mathematics 2014-01-10 Idris Kharroubi , Huyen Pham

We evaluate the hedging performance of a high-order compact finite difference scheme from [4] for option pricing in Bates model. We compare the scheme's hedging performance to standard finite difference methods in different examples. We…

Computational Finance · Quantitative Finance 2017-10-17 Bertram Düring , Alexander Pitkin

Asset allocation is an investment strategy that aims to balance risk and reward by constantly redistributing the portfolio's assets according to certain goals, risk tolerance, and investment horizon. Unfortunately, there is no simple…

Portfolio Management · Quantitative Finance 2022-08-16 Ricard Durall

We study a notion of good-deal hedging, that corresponds to good-deal valuation for generalized good-deal constraints. Under model uncertainty about the market prices of risk of hedging assets, a robust approach leads to a reduction or even…

Mathematical Finance · Quantitative Finance 2019-06-27 Dirk Becherer , Klebert Kentia

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 introduce $\textit{Backward Conformal Prediction}$, a method that guarantees conformal coverage while providing flexible control over the size of prediction sets. Unlike standard conformal prediction, which fixes the coverage level and…

Machine Learning · Statistics 2026-02-13 Etienne Gauthier , Francis Bach , Michael I. Jordan

We design and analyze minimax-optimal algorithms for online linear optimization games where the player's choice is unconstrained. The player strives to minimize regret, the difference between his loss and the loss of a post-hoc benchmark…

Machine Learning · Computer Science 2013-02-12 H. Brendan McMahan

Portfolio optimization methods suffer from a catalogue of known problems, mainly due to the facts that pair correlations of asset returns are unstable, and that extremal risk measures such as maximum drawdown are difficult to predict due to…

Portfolio Management · Quantitative Finance 2022-05-20 Jan Rosenzweig

We present a universal algorithm for online trading in Stock Market which performs asymptotically at least as good as any stationary trading strategy that computes the investment at each step using a fixed function of the side information…

Machine Learning · Computer Science 2014-11-05 Vladimir V'yugin , Vladimir Trunov

Portfolio optimization is an important process in finance that consists in finding the optimal asset allocation that maximizes expected returns while minimizing risk. When assets are allocated in discrete units, this is a combinatorial…

Statistical Mechanics · Physics 2022-10-04 Álvaro Rubio-García , Juan José García-Ripoll , Diego Porras

This article deals with the problem of optimal allocation of capital to corporate bonds in fixed income portfolios when there is the possibility of correlated defaults. Under fairly general assumptions for the distribution of the total net…

Adaptation and Self-Organizing Systems · Physics 2008-12-10 Mark B. Wise , Vineer Bhansali

It is well-known that using delta hedging to hedge financial options is not feasible in practice. Traders often rely on discrete-time hedging strategies based on fixed trading times or fixed trading prices (i.e., trades only occur if the…

Mathematical Finance · Quantitative Finance 2024-02-06 Cheng Cai , Tiziano De Angelis , Jan Palczewski

In spite of the growing consideration for optimal execution in the financial mathematics literature, numerical approximations of optimal trading curves are almost never discussed. In this article, we present a numerical method to…

Trading and Market Microstructure · Quantitative Finance 2014-12-30 Olivier Guéant , Jean-Michel Lasry , Jiang Pu

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

In this paper, we propose a predictor-corrector type Consensus Based Optimization (CBO) algorithm on a convex feasible set. Our proposed algorithm generalizes the CBO algorithm in [11] to tackle a constrained optimization problem for the…

Optimization and Control · Mathematics 2021-10-14 Hyeong-Ohk Bae , Seung-Yeal Ha , Myeongju Kang , Hyuncheul Lim , Chanho Min , Jane Yoo

Online conformal prediction (OCP) seeks prediction intervals that achieve long-run $1-\alpha$ coverage for arbitrary (possibly adversarial) data streams, while remaining as informative as possible. Existing OCP methods often require manual…

Machine Learning · Statistics 2026-02-04 Tuo Liu , Edgar Dobriban , Francesco Orabona