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This paper addresses the energy management of a grid-connected renewable generation plant coupled with a battery energy storage device in the capacity firming market, designed to promote renewable power generation facilities in small…

In this article we present a non-linear dynamic programming algorithm for the computation of forward rates within the maximum smoothness framework. The algorithm implements the forward rate positivity constraint for a one-parametric family…

Optimization and Control · Mathematics 2016-08-16 Julián Manzano , Jörgen Blomvall

We study the problem of incorporating risk while making combinatorial decisions under uncertainty. We formulate a discrete submodular maximization problem for selecting a set using Conditional-Value-at-Risk (CVaR), a risk metric commonly…

Artificial Intelligence · Computer Science 2018-10-30 Lifeng Zhou , Pratap Tokekar

In Electricity markets, illiquidity, transaction costs and market price characteristics prevent managers to replicate exactly contracts. A residual risk is always present and the hedging strategy depends on a risk criterion chosen. We…

Computational Finance · Quantitative Finance 2018-08-29 Xavier Warin

Obtaining reliable estimates of conditional covariance matrices is an important task of heteroskedastic multivariate time series. In portfolio optimization and financial risk management, it is crucial to provide measures of uncertainty and…

Methodology · Statistics 2022-09-19 Davide Ravagli , Georgi N. Boshnakov

We study a linear-quadratic, optimal control problem on a discrete, finite time horizon with distributional ambiguity, in which the cost is assessed via Conditional Value-at-Risk (CVaR). We take steps toward deriving a scalable dynamic…

Systems and Control · Electrical Eng. & Systems 2022-06-28 Margaret P. Chapman , Laurent Lessard

In an equity market model with "Knightian" uncertainty regarding the relative risk and covariance structure of its assets, we characterize in several ways the highest return relative to the market that can be achieved using nonanticipative…

Probability · Mathematics 2012-02-15 Daniel Fernholz , Ioannis Karatzas

We statistically analyse a multivariate HJM diffusion model with stochastic volatility. The volatility process of the first factor is left totally unspecified while the volatility of the second factor is the product of an unknown process…

Statistics Theory · Mathematics 2019-06-07 Olivier Féron , Pierre Gruet , Marc Hoffmann

This paper investigates the pricing and hedging of variance swaps under a $3/2$ volatility model. Explicit pricing and hedging formulas of variance swaps are obtained under the benchmark approach, which only requires the existence of the…

Pricing of Securities · Quantitative Finance 2014-11-04 Leunglung Chan , Eckhard Platen

Dual control explicitly addresses the problem of trading off active exploration and exploitation in the optimal control of partially unknown systems. While the problem can be cast in the framework of stochastic dynamic programming, exact…

Systems and Control · Electrical Eng. & Systems 2019-11-12 Elena Arcari , Lukas Hewing , Melanie N. Zeilinger

We consider an optimal investment-consumption problem for a utility-maximizing investor who has access to assets with different liquidity and whose consumption rate as well as terminal wealth are subject to lower-bound constraints. Assuming…

Mathematical Finance · Quantitative Finance 2025-05-21 Yevhen Havrylenko

We consider a multi-objective risk-averse two-stage stochastic programming problem with a multivariate convex risk measure. We suggest a convex vector optimization formulation with set-valued constraints and propose an extended version of…

Optimization and Control · Mathematics 2017-11-20 Çağın Ararat , Özlem Çavuş , Ali İrfan Mahmutoğulları

This paper addresses the problem of utility maximization under uncertain parameters. In contrast with the classical approach, where the parameters of the model evolve freely within a given range, we constrain them via a penalty function. We…

Optimization and Control · Mathematics 2022-03-08 Ivan Guo , Nicolas Langrené , Grégoire Loeper , Wei Ning

A matrix optimization problem over an uncertain linear system on finite horizon (abbreviated as MOPUL) is studied, in which the uncertain transition matrix is regarded as a decision variable. This problem is in general NP-hard. By using the…

Optimization and Control · Mathematics 2023-10-31 Jintao Xu , Shu-Cherng Fang , Wenxun Xing

In this paper, we model financial markets with semi-Markov volatilities and price covarinace and correlation swaps for this markets. Numerical evaluations of vari- nace, volatility, covarinace and correlations swaps with semi-Markov…

Pricing of Securities · Quantitative Finance 2012-05-28 Giovanni Salvi , Anatoliy V. Swishchuk

In this paper, we present an alternative perspective on the mean-field LIBOR market model introduced by Desmettre et al. in arXiv:2109.10779. Our novel approach embeds the mean-field model in a classical setup, but retains the crucial…

Mathematical Finance · Quantitative Finance 2024-02-19 Manuel Hasenbichler , Wolfgang Müller , Stefan Thonhauser

In continuous-time portfolio selection for non-concave utility functions, the martingale duality approach is widely adopted in complete markets, while the dynamic programming approach may sometimes lead to singular solutions of the…

Optimization and Control · Mathematics 2026-04-17 Yang Liu , Alexander Schied , Zhenyu Shen

We propose a computational framework to quantify (measure) and to optimize the reliability of complex systems. The approach uses a graph representation of the system that is subject to random failures of its components (nodes and edges).…

Optimization and Control · Mathematics 2021-06-25 Joshua L. Pulsipher , Victor M. Zavala

For any financial institution, it is essential to understand the behavior of interest rates. Despite the growing use of Deep Learning, for many reasons (expertise, ease of use, etc.), classic rate models such as CIR and the Gaussian family…

Statistical Finance · Quantitative Finance 2024-10-01 Mohamed Ben Alaya , Ahmed Kebaier , Djibril Sarr

Electricity storage is used for intertemporal price arbitrage and for ancillary services that balance unforeseen supply and demand fluctuations via frequency regulation. We present an optimization model that computes bids for both arbitrage…

Optimization and Control · Mathematics 2026-05-12 Dirk Lauinger , Luc Coté , Andy Sun
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