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We introduce distributional dynamic programming (DP) methods for optimizing statistical functionals of the return distribution, with standard reinforcement learning as a special case. Previous distributional DP methods could optimize the…

In this paper, we investigate a financial market model consisting of a risky asset, modeled as a general diffusion parameterized by a scale function and a speed measure, and a bank account process with a constant interest rate. This…

Mathematical Finance · Quantitative Finance 2025-12-09 Alexis Anagnostakis , David Criens , Mikhail Urusov

There is no exact closed form formula for pricing of European options with discrete cash dividends under the model where the underlying asset price follows a piecewise lognormal process with jumps at dividend ex-dates. This paper presents…

Computational Finance · Quantitative Finance 2021-06-24 Fabien Le Floc'h

Models of adaptive bet-hedging commonly adopt insights from Kelly's famous work on optimal gambling strategies and the financial value of information. In particular, such models seek evolutionary solutions that maximize long term average…

Populations and Evolution · Quantitative Biology 2020-03-18 Omri Tal , Tat Dat Tran

Data augmentation has been shown to effectively improve the performance of multimodal machine learning models. This paper introduces a generative model for data augmentation by leveraging the correlations among multiple modalities.…

Computer Vision and Pattern Recognition · Computer Science 2021-10-26 Zixu Wang , Yishu Miao , Lucia Specia

Dividend discount models have been developed in a deterministic setting. Some authors (Hurley and Johnson, 1994 and 1998; Yao, 1997) have introduced randomness in terms of stochastic growth rates, delivering closed-form expressions for the…

Pricing of Securities · Quantitative Finance 2017-04-24 Arianna Agosto , Alessandra Mainini , Enrico Moretto

The purpose of this paper is to improve the accuracy of dynamic hedging using implied volatilities generated by genetic programming. Using real data from S&P500 index options, the genetic programming's ability to forecast Black and Scholes…

Computational Finance · Quantitative Finance 2020-07-01 Fathi Abid , Wafa Abdelmalek , Sana Ben Hamida

Randomized iterative methods have gained recent interest in machine learning and signal processing for solving large-scale linear systems. One such example is the randomized Douglas-Rachford (RDR) method, which updates the iterate by…

Numerical Analysis · Mathematics 2025-06-13 Liqi Guo , Ruike Xiang , Deren Han , Jiaxin Xie

The proposed model modifies option pricing formulas for the basic case of log-normal probability distribution providing correspondence to formulated criteria of efficiency and completeness. The model is self-calibrating by historic…

Pricing of Securities · Quantitative Finance 2008-12-02 Pavel Levin

Data augmentation methods in combination with deep neural networks have been used extensively in computer vision on classification tasks, achieving great success; however, their use in time series classification is still at an early stage.…

Statistical Finance · Quantitative Finance 2020-10-29 Elizabeth Fons , Paula Dawson , Xiao-jun Zeng , John Keane , Alexandros Iosifidis

In this paper, we are concerned with the optimization of a dynamic investment portfolio when the securities which follow a multivariate Merton model with dependent jumps are periodically invested and proceed by approximating the…

Portfolio Management · Quantitative Finance 2021-04-26 Bahareh Afhami , Mohsen Rezapour , Mohsen Madadi , Vahed Maroufy

We propose and study a simple model of dynamical redistribution of capital in a diversified portfolio. We consider a hypothetical situation of a portfolio composed of N uncorrelated stocks. Each stock price follows a multiplicative random…

Statistical Mechanics · Physics 2015-06-25 Matteo Marsili , Sergei Maslov , Yi-Cheng Zhang

We propose a novel framework for modeling time-varying persistence in economic time series, allowing for smoothly evolving heterogeneity in shock dynamics. We leverage localized regression techniques to flexibly identify changes in…

General Finance · Quantitative Finance 2025-06-06 Jozef Barunik , Lukas Vacha

This paper introduces a semi-analytical method for pricing American options on assets (stocks, ETFs) that pay discrete and/or continuous dividends. The problem is notoriously complex because discrete dividends create abrupt price drops and…

Pricing of Securities · Quantitative Finance 2026-01-06 Andrey Itkin

In this article, we discuss the continuous version of the generalized exchange-driven growth model which is a variant of the coagulation model in which a smaller size particle is detached from a bigger one and merges with another particle.…

Analysis of PDEs · Mathematics 2025-09-03 Prasanta K. Barik , Fernando P. da Costa , João T. Pinto , Rafael Sasportes

Conservation principles like conservation of charge or energy provide a natural way to couple and constrain different physical variables. In this letter, we propose a dynamical system model that exploits these constraints for solving…

Optimization and Control · Mathematics 2017-07-24 Oindrila Chatterjee , Shantanu Chakrabartty

We propose a method for extending a given asset pricing formula to account for two additional sources of risk: the risk associated with future changes in market--calibrated parameters and the remaining risk associated with idiosyncratic…

Disordered Systems and Neural Networks · Physics 2008-12-02 T. R. Hurd

We study the application of dynamic pricing to insurance. We view this as an online revenue management problem where the insurance company looks to set prices to optimize the long-run revenue from selling a new insurance product. We develop…

Econometrics · Economics 2019-07-12 Yuqing Zhang , Neil Walton

This paper develops numerical methods for finding optimal dividend pay-out and reinsurance policies. A generalized singular control formulation of surplus and discounted payoff function are introduced, where the surplus is modeled by a…

Computational Finance · Quantitative Finance 2011-11-11 Zhuo Jin , George Yin , Chao Zhu

This paper develops a dynamic equilibrium model of the insurance market that jointly characterizes insurers' underwriting, investment, recapitalization, and dividend policies under model uncertainty and financial frictions. Competitive…

Risk Management · Quantitative Finance 2026-03-20 Bingzheng Chen , Jan Dhaene , Chun Liu , Shunzhi Pang