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In this paper we study a risk-minimizing hedging problem for a semimartingale incomplete financial market where d+1 assets are traded continuously and whose price is expressed in units of the num\'{e}raire portfolio. According to the…

Portfolio Management · Quantitative Finance 2014-02-07 Claudia Ceci , Katia Colaneri , Alessandra Cretarola

We study the pricing and hedging of derivatives in incomplete financial markets by considering the local risk-minimization method in the context of the benchmark approach, which will be called benchmarked local risk-minimization. We show…

Pricing of Securities · Quantitative Finance 2014-02-18 Francesca Biagini , Alessandra Cretarola , Eckhard Platen

In this paper we investigate the local risk-minimization approach for a combined financial-insurance model where there are restrictions on the information available to the insurance company. In particular we assume that, at any time, the…

Portfolio Management · Quantitative Finance 2014-11-18 Claudia Ceci , Katia Colaneri , Alessandra Cretarola

We consider the mean-variance hedging problem under partial information in the case where the flow of observable events does not contain the full information on the underlying asset price process. We introduce a martingale equation of a new…

Pricing of Securities · Quantitative Finance 2008-12-02 M. Mania , R. Tevzadze , T. Toronjadze

We consider a financial market model with a single risky asset whose price process evolves according to a general jump-diffusion with locally bounded coefficients and where market participants have only access to a partial information flow.…

Portfolio Management · Quantitative Finance 2015-08-14 Claudio Fontana , Bernt Øksendal , Agnès Sulem

We investigate the optimal investment-reinsurance problem for insurance company with partial information on the market price of the risk. Through the use of filtering techniques we convert the original optimization problem involving…

Portfolio Management · Quantitative Finance 2024-08-15 Claudia Ceci , Katia Colaneri

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

In a Markovian model for a financial market, we characterize the best arbitrage with respect to the market portfolio that can be achieved using nonanticipative investment strategies, in terms of the smallest positive solution to a parabolic…

Computational Finance · Quantitative Finance 2010-10-26 Daniel Fernholz , Ioannis Karatzas

We propose a hedging approach for general contingent claims when liquidity is a concern and trading is subject to transaction cost. Multiple assets with different liquidity levels are available for hedging. Our risk criterion targets a…

Mathematical Finance · Quantitative Finance 2018-07-02 Panagiotis Christodoulou , Nils Detering , Thilo Meyer-Brandis

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

It has been understood that the "local" existence of the Markowitz' optimal portfolio or the solution to the local-risk minimization problem is guaranteed by some specific mathematical structures on the underlying assets price processes…

Risk Management · Quantitative Finance 2018-12-31 Tahir Choulli , Jun Deng

The Markowitz problem consists of finding in a financial market a self-financing trading strategy whose final wealth has maximal mean and minimal variance. We study this in continuous time in a general semimartingale model and under cone…

Portfolio Management · Quantitative Finance 2012-06-04 Christoph Czichowsky , Martin Schweizer

A financial market model where agents trade using realistic combinations of buy-and-hold strategies is considered. Minimal assumptions are made on the discounted asset-price process - in particular, the semimartingale property is not…

Pricing of Securities · Quantitative Finance 2009-11-02 Constantinos Kardaras , Eckhard Platen

A constrained informationally efficient market is defined to be one whose price process arises as the outcome of some equilibrium where agents face restrictions on trade. This paper investigates the case of short sale constraints, a setting…

General Finance · Quantitative Finance 2014-01-10 Robert A. Jarrow , Martin Larsson

This paper presents an optimal allocation problem in a financial market with one risk-free and one risky asset, when the market is driven by a stochastic market price of risk. We solve the problem in continuous time, for an investor with a…

Portfolio Management · Quantitative Finance 2019-09-19 Katia Colaneri , Stefano Herzel , Marco Nicolosi

We study the optimal liquidation problem in a market model where the bid price follows a geometric pure jump process whose local characteristics are driven by an unobservable finite-state Markov chain and by the liquidation rate. This model…

Mathematical Finance · Quantitative Finance 2019-06-27 Katia Colaneri , Zehra Eksi , Rüdiger Frey , Michaela Szölgyenyi

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

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 optimal liquidation strategies under partial information for a single asset within a finite time horizon. We propose a model tailored for high-frequency trading, capturing price formation driven solely by order flow through…

Mathematical Finance · Quantitative Finance 2024-11-08 Etienne Chevalier , Yadh Hafsi , Vathana Ly Vath

This paper is concerned with an optimal reinsurance and investment problem for an insurance firm under the criterion of mean-variance. The driving Brownian motion and the rate in return of the risky asset price dynamic equation cannot be…

Optimization and Control · Mathematics 2020-06-04 Shihao Zhu , Jingtao Shi
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