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We design an adaptive virtual element method (AVEM) of lowest order over triangular meshes with hanging nodes in 2d, which are treated as polygons. AVEM hinges on the stabilization-free a posteriori error estimators recently derived in [8].…

Numerical Analysis · Mathematics 2023-02-28 L. Beirão da Veiga , C. Canuto , R. H. Nochetto , G. Vacca , M. Verani

This paper presents the Virtual Element Method (VEM) for the modeling of crack propagation in 2D within the context of linear elastic fracture mechanics (LEFM). By exploiting the advantage of mesh flexibility in the VEM, we establish an…

Computational Engineering, Finance, and Science · Computer Science 2018-08-02 Vien Minh Nguyen-Thanh , Xiaoying Zhuang , Hung Nguyen-Xuan , Timon Rabczuk , Peter Wriggers

We consider insurance derivatives depending on an external physical risk process, for example a temperature in a low dimensional climate model. We assume that this process is correlated with a tradable financial asset. We derive optimal…

Pricing of Securities · Quantitative Finance 2008-12-10 Stefan Ankirchner , Peter Imkeller , Alexandre Popier

We develop a semi-static framework for the variance-optimal hedging of multi-asset derivatives exposed to correlation and covariance risk. The approach combines continuous-time dynamic trading in the underlying assets with a static…

Mathematical Finance · Quantitative Finance 2026-03-27 Konstantinos Chatziandreou , Sven Karbach

In this paper a new algorithm for adaptive dynamic channel estimation for frequency selective time varying fading OFDM channels is proposed. The new algorithm adopts a new strategy that successfully increases OFDM symbol rate. Instead of…

Optimization and Control · Mathematics 2010-09-23 Wessam M. Afifi , Hassan M. Elkamchouchi

This study proposes an Ensemble Differential Evolution with Simula-tion-Based Hybridization and Self-Adaptation (EDESH-SA) approach for inven-tory management (IM) under uncertainty. In this study, DE with multiple runs is combined with a…

Optimization and Control · Mathematics 2023-10-16 Sarit Maitra , Vivek Mishra , Sukanya Kundu

We consider efficient estimation of flexible transformation models with interval-censored data. To reduce the dimension of semi-parametric models, the unknown monotone transformation function is approximated via monotone splines. A…

Methodology · Statistics 2019-12-30 Minggen Lu , Yan Liu , Chin-Shang Li , Jianguo Sun

This paper introduces a deep learning method for solving an elliptic hemivariational inequality (HVI). In this method, an expectation minimization problem is first formulated based on the variational principle of underlying HVI, which is…

Numerical Analysis · Mathematics 2021-04-13 Jianguo Huang , Chunmei Wang , Haoqin Wang

Deep hedging is a deep-learning-based framework for derivative hedging in incomplete markets. The advantage of deep hedging lies in its ability to handle various realistic market conditions, such as market frictions, which are challenging…

Computational Finance · Quantitative Finance 2023-07-26 Masanori Hirano , Kentaro Minami , Kentaro Imajo

We consider the mean-variance hedging problem under partial Information. The underlying asset price process follows a continuous semimartingale and strategies have to be constructed when only part of the information in the market is…

Probability · Mathematics 2008-12-10 M. Mania , R. Tevzadze , T. Toronjadze

We study how we can adapt a predictor to a non-stationary environment with advises from multiple experts. We study the problem under complete feedback when the best expert changes over time from a decision theoretic point of view. Proposed…

Machine Learning · Computer Science 2017-08-08 Vishnu Raj , Sheetal Kalyani

We examine whether hedging effectiveness is affected by asymmetry in the return distribution by applying tail specific metrics to compare the hedging effectiveness of short and long hedgers using crude oil futures contracts. The metrics…

Computational Finance · Quantitative Finance 2011-03-29 John Cotter , Jim Hanly

We introduce the Historical and Dynamic Volatility Ratios (HVR/DVR) and show that equity and index volatilities are cointegrated at intraday and daily horizons. This allows us to construct a VECM to forecast portfolio volatility by…

Portfolio Management · Quantitative Finance 2025-09-30 Gabriele Casto

A variational framework, initially developed for high-order mesh optimisation, is being extended for r-adaptation. The method is based on the minimisation of a functional of the mesh deformation. To achieve adaptation, elements of the…

Computational Geometry · Computer Science 2019-01-07 Julian Marcon , Michael Turner , David Moxey , Spencer J. Sherwin , Joaquim Peiró

In this work, solution of the finite horizon hybrid optimal control problem as the central element of the receding horizon optimal control (model predictive control) is investigated based on the indirect approach. The response of a hybrid…

Systems and Control · Computer Science 2020-09-24 Babak Tavassoli

We show how D4PG can be used in conjunction with quantile regression to develop a hedging strategy for a trader responsible for derivatives that arrive stochastically and depend on a single underlying asset. We assume that the trader makes…

Computational Finance · Quantitative Finance 2023-01-05 Jay Cao , Jacky Chen , Soroush Farghadani , John Hull , Zissis Poulos , Zeyu Wang , Jun Yuan

We study the approximation of certain stochastic integrals with respect to a d-dimensional diffusion by corresponding stochastic integrals with piece-wise constant integrands. In finance this corresponds to replacing a continuously adjusted…

Probability · Mathematics 2007-05-23 Mika Hujo

This paper provides an insight to the time-varying dynamics of the shape of the distribution of financial return series by proposing an exponential weighted moving average model that jointly estimates volatility, skewness and kurtosis over…

Risk Management · Quantitative Finance 2012-06-08 A. Gabrielsen , P. Zagaglia , A. Kirchner , Z. Liu

We investigate the adaptive robust control framework for portfolio optimization and loss-based hedging under drift and volatility uncertainty. Adaptive robust problems offer many advantages but require handling a double optimization problem…

Optimization and Control · Mathematics 2020-05-06 Tao Chen , Michael Ludkovski

Reliable and accurate prediction of time series plays a crucial role in maritime industry, such as economic investment, transportation planning, port planning and design, etc. The dynamic growth of maritime time series has the predominantly…

Computational Engineering, Finance, and Science · Computer Science 2019-05-14 Yan Li , Ryan Wen Liu , Zhao Liu , Jingxian Liu
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