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This paper focuses on a dynamic multi-asset mean-variance portfolio selection problem under model uncertainty. We develop a continuous time framework for taking into account ambiguity aversion about both expected return rates and…

投资组合管理 · 定量金融 2021-12-02 Huyen Pham , Xiaoli Wei , Chao Zhou

This paper examines the volatility and covariance dynamics of cash and futures contracts that underlie the Optimal Hedge Ratio (OHR) across different hedging time horizons. We examine whether hedge ratios calculated over a short term…

风险管理 · 定量金融 2011-03-31 John Cotter , Jim Hanly

In this chapter we first briefly review the existing approaches to hedging in rough volatility models. Next, we present a simple but general result which shows that in a one-factor rough stochastic volatility model, any option may be…

数理金融 · 定量金融 2021-05-11 Masaaki Fukasawa , Blanka Horvath , Peter Tankov

Optimal B-robust estimate is constructed for multidimensional parameter in drift coefficient of diffusion type process with small noise. Optimal mean-variance robust (optimal V -robust) trading strategy is find to hedge in mean-variance…

投资组合管理 · 定量金融 2008-12-10 N. Lazrieva , T. Toronjadze

We extend the classical mean-variance (MV) framework and propose a robust and sparse portfolio selection model incorporating an ellipsoidal uncertainty set to reduce the impact of estimation errors and fixed transaction costs to penalize…

投资组合管理 · 定量金融 2024-12-30 J. Chen , S. D. Ahipaşaoğlu , N. Zhang , Y. Yang

Robust optimization provides a principled framework for decision-making under uncertainty, with broad applications in finance, engineering, and operations research. In portfolio optimization, uncertainty in expected returns and covariances…

统计金融 · 定量金融 2025-10-15 Daniel Cunha Oliveira , Grover Guzman , Nick Firoozye

We study the design of portfolios under a minimum risk criterion. The performance of the optimized portfolio relies on the accuracy of the estimated covariance matrix of the portfolio asset returns. For large portfolios, the number of…

投资组合管理 · 定量金融 2016-01-20 Liusha Yang , Romain Couillet , Matthew R. McKay

The cryptocurrency market is volatile, non-stationary and non-continuous. Together with liquid derivatives markets, this poses a unique opportunity to study risk management, especially the hedging of options, in a turbulent market. We study…

证券定价 · 定量金融 2022-12-05 Jovanka Lili Matic , Natalie Packham , Wolfgang Karl Härdle

We present a framework for hedging a portfolio of derivatives in the presence of market frictions such as transaction costs, market impact, liquidity constraints or risk limits using modern deep reinforcement machine learning methods. We…

计算金融 · 定量金融 2018-02-12 Hans Bühler , Lukas Gonon , Josef Teichmann , Ben Wood

We present a robust Deep Hedging framework for the pricing and hedging of option portfolios that significantly improves training efficiency and model robustness. In particular, we propose a neural model for training model embeddings which…

计算金融 · 定量金融 2025-04-24 Fabienne Schmid , Daniel Oeltz

The objectives of option hedging/trading extend beyond mere protection against downside risks, with a desire to seek gains also driving agent's strategies. In this study, we showcase the potential of robust risk-aware reinforcement learning…

计算金融 · 定量金融 2023-12-27 David Wu , Sebastian Jaimungal

Robust estimation for modern portfolio selection on a large set of assets becomes more important due to large deviation of empirical inference on big data. We propose a distributionally robust methodology for high-dimensional mean-variance…

统计方法学 · 统计学 2024-09-12 Ruike Wu , Yanrong Yang , Han Lin Shang , Huanjun Zhu

This paper presents hedging strategies for European and exotic options in a Levy market. By applying Taylor's Theorem, dynamic hedging portfolios are con- structed under different market assumptions, such as the existence of power jump…

投资组合管理 · 定量金融 2008-12-10 Wing Yan Yip , Sofia Olhede , David Stephens

In this paper, both dynamic mean-variance portfolio selection problems and dynamic variance hedging problems are discussed under non-Markovian framework. Explicit closed-loop equilibrium strategies of these problems are respectively…

最优化与控制 · 数学 2018-02-06 Tianxiao Wang

In this study, we constitute an adaptive hedging method based on empirical mode decomposition (EMD) method to extract the adaptive hedging horizon and build a time series cross-validation method for robust hedging performance estimation.…

计量经济学 · 经济学 2023-02-02 Wang Haoyu , Junpeng Di , Qing Han

This work studies the dynamic risk management of the risk-neutral value of the potential credit losses on a portfolio of derivatives. Sensitivities-based hedging of such liability is sub-optimal because of bid-ask costs, pricing models…

计算金融 · 定量金融 2023-12-22 Roberto Daluiso , Marco Pinciroli , Michele Trapletti , Edoardo Vittori

Building on the functional-analytic framework of operator-valued kernels and un-truncated signature kernels, we propose a scalable, provably convergent signature-based algorithm for a broad class of high-dimensional, path-dependent hedging…

泛函分析 · 数学 2025-02-06 Nicola Muca Cirone , Cristopher Salvi

This work focuses on the dynamic hedging of financial derivatives, where a reinforcement learning algorithm is designed to minimize the variance of the delta hedging process. In contrast to previous research in this area, we apply…

最优化与控制 · 数学 2023-06-21 Cong Zheng , Jiafa He , Can Yang

We study hedging and pricing of unattainable contingent claims in a non-Markovian regime-switching financial model. Our financial market consists of a bank account and a risky asset whose dynamics are driven by a Brownian motion and a…

证券定价 · 定量金融 2013-03-19 Łukasz Delong , Antoon Pelsser

We study robust notions of good-deal hedging and valuation under combined uncertainty about the drifts and volatilities of asset prices. Good-deal bounds are determined by a subset of risk-neutral pricing measures such that not only…

数理金融 · 定量金融 2017-04-11 Dirk Becherer , Klebert Kentia
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