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The mean-variance hedging (MVH) problem is studied in a partially observable market where the drift processes can only be inferred through the observation of asset or index processes. Although most of the literatures treat the MVH problem…

Computational Finance · Quantitative Finance 2013-11-26 Masaaki Fujii , Akihiko Takahashi

We investigate the optimal reinsurance problem under the criterion of maximizing the expected utility of terminal wealth when the insurance company has restricted information on the loss process. We propose a risk model with claim arrival…

Mathematical Finance · Quantitative Finance 2020-05-15 Matteo Brachetta , Claudia Ceci

This paper investigates the finite horizon risk-sensitive portfolio optimization in a regime-switching credit market with physical and information-induced default contagion. It is assumed that the underlying regime-switching process has…

Portfolio Management · Quantitative Finance 2021-07-28 Lijun Bo , Huafu Liao , Xiang Yu

We study the optimal asset allocation problem for a fund manager whose compensation depends on the performance of her portfolio with respect to a benchmark. The objective of the manager is to maximise the expected utility of her final…

Portfolio Management · Quantitative Finance 2020-11-17 Flavio Angelini , Katia Colaneri , Stefano Herzel , Marco Nicolosi

In this paper we investigate the hedging problem of a unit-linked life insurance contract via the local risk-minimization approach, when the insurer has a restricted information on the market. In particular, we consider an endowment…

Mathematical Finance · Quantitative Finance 2017-09-26 Claudia Ceci , Katia Colaneri , Alessandra Cretarola

The question of pricing and hedging a given contingent claim has a unique solution in a complete market framework. When some incompleteness is introduced, the problem becomes however more difficult. Several approaches have been adopted in…

Probability · Mathematics 2007-08-08 Pauline Barrieu , Nicole El Karoui

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…

Portfolio Management · Quantitative Finance 2008-12-10 N. Lazrieva , T. Toronjadze

We present an algorithm producing a dynamic non-self-financing hedging strategy in an incomplete market corresponding to investor-relevant risk criterion. The optimization is a two stage process that first determines admissible model…

Statistics Theory · Mathematics 2008-12-10 N. Josephy , L. Kimball , A. Nagaev , M. Pasniewski , V. Steblovskaya

We propose a novel computational procedure for quadratic hedging in high-dimensional incomplete markets, covering mean-variance hedging and local risk minimization. Starting from the observation that both quadratic approaches can be treated…

Computational Finance · Quantitative Finance 2024-11-25 Alessandro Gnoatto , Silvia Lavagnini , Athena Picarelli

This paper investigates the optimal management of an aggregated defined benefit pension plan in a stochastic environment. The interest rate follows the Ornstein-Uhlenbeck model, the benefits follow the geometric Brownian motion while the…

Portfolio Management · Quantitative Finance 2023-02-20 Guohui Guan , Zongxia Liang , Yi Xia

This paper addresses the trade-off between internalisation and externalisation in the management of stochastic trade flows. We consider agents who must absorb flows and manage risk by deciding whether to warehouse it or hedge in the market,…

Trading and Market Microstructure · Quantitative Finance 2025-03-05 Philippe Bergault , Olivier Guéant , Hamza Bodor

In this paper, we prove the global risk optimality of the hedging strategy of contingent claim, which is explicitly (or called semi-explicitly) constructed for an incomplete financial market with external risk factors of non-Gaussian…

Probability · Mathematics 2015-08-28 Wanyang Dai

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

Financial portfolio optimization is a widely studied problem in mathematics, statistics, financial and computational literature. It adheres to determining an optimal combination of weights associated with financial assets held in a…

Portfolio Management · Quantitative Finance 2013-01-21 Ankit Dangi

We propose an optimal portfolio problem in the incomplete market where the underlying assets depend on economic factors with delayed effects, such models can describe the short term forecasting and the interaction with time lag among…

Mathematical Finance · Quantitative Finance 2018-05-04 Shuenn-Jyi Sheu , Li-Hsien Sun , Zheng Zhang

This paper investigates optimal portfolio strategies in a market where the drift is driven by an unobserved Markov chain. Information on the state of this chain is obtained from stock prices and expert opinions in the form of signals at…

Portfolio Management · Quantitative Finance 2016-02-03 Rüdiger Frey , Abdelali Gabih , Ralf Wunderlich

This paper investigates the optimal hedging strategies of an informed broker interacting with multiple traders in a financial market. We develop a theoretical framework in which the broker, possessing exclusive information about the drift…

Trading and Market Microstructure · Quantitative Finance 2025-06-11 Philippe Bergault , Pierre Cardaliaguet , Wenbin Yan

In this paper, we study the mean-variance portfolio selection problem under partial information with drift uncertainty. First we show that the market model is complete even in this case while the information is not complete and the drift is…

Portfolio Management · Quantitative Finance 2020-10-27 Jie Xiong , Zuo quan Xu , Jiayu Zheng

We consider an optimal liquidation problem with instantaneous price impact and stochastic resilience for small instantaneous impact factors. Within our modelling framework, the optimal portfolio process converges to the solution of an…

Mathematical Finance · Quantitative Finance 2023-07-07 Ulrich Horst , Evgueni Kivman

Shorting for hedging exposes to risk when the market dynamics is uncertain. Managing uncertainty and risk exposure is key in portfolio management practice. This paper develops a robust framework for dynamic minimum-variance hedging that…

Risk Management · Quantitative Finance 2026-04-03 Adele Ravagnani , Mattia Chiappari , Andrea Flori , Piero Mazzarisi , Marco Patacca
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