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In this paper, we consider a financial market with assets exposed to some risks inducing jumps in the asset prices, and which can still be traded after default times. We use a default-intensity modeling approach, and address in this…

Portfolio Management · Quantitative Finance 2015-10-21 Thomas Lim , Marie-Claire Quenez

We study an optimal investment problem under default risk where related information such as loss or recovery at default is considered as an exogenous random mark added at default time. Two types of agents who have different levels of…

Pricing of Securities · Quantitative Finance 2017-03-02 Ying Jiao , Idris Kharroubi

We consider a financial market with a stock exposed to a counterparty risk inducing a drop in the price, and which can still be traded after this default time. We use a default-density modeling approach, and address in this incomplete…

Probability · Mathematics 2009-03-06 Ying Jiao , Huyen Pham

Within the well-known framework of financial portfolio optimization, we analyze the existing relationships between the condition of arbitrage and the utility maximization in presence of \emph{insider information}. We assume that, since the…

Mathematical Finance · Quantitative Finance 2019-12-05 Bernardo D'Auria , José Antonio Salmerón

We consider an investor facing a classical portfolio problem of optimal investment in a log-Brownian stock and a fixed-interest bond, but constrained to choose portfolio and consumption strategies that reduce a dynamic shortfall risk…

Portfolio Management · Quantitative Finance 2017-08-04 Imke Redeker , Ralf Wunderlich

We address the problem of portfolio optimization under the simplest coherent risk measure, i.e. the expected shortfall. As it is well known, one can map this problem into a linear programming setting. For some values of the external…

Physics and Society · Physics 2008-12-02 Stefano Ciliberti , Imre Kondor , Marc Mezard

We study optimal investment in an asset subject to risk of default for investors that rely on different levels of information. The price dynamics can include noises both from a Wiener process and a Poisson random measure with infinite…

Pricing of Securities · Quantitative Finance 2013-12-23 Giulia Di Nunno , Steffen Sjursen

In this paper, we study the robust optimal investment and risk control problem for an insurer who owns the insider information about the financial market and the insurance market under model uncertainty. Both financial risky asset process…

Numerical Analysis · Mathematics 2022-07-15 Chao Yu , Yuhan Cheng , Yilun Song

Default risk calculus plays a crucial role in portfolio optimization when the risky asset is under threat of bankruptcy. However, traditional stochastic control techniques are not applicable in this scenario, and additional assumptions are…

Portfolio Management · Quantitative Finance 2023-05-10 José A. Salmerón , Giulia Di Nunno , Bernardo D'Auria

We study the anticipating version of the classical portfolio optimization problem in a financial market with the presence of a trader who possesses privileged information about the future (insider information), but who is also subjected to…

Mathematical Finance · Quantitative Finance 2024-10-22 Bernardo D'Auria , Carlos Escudero

In an incomplete market underpinned by the trinomial model, we consider two investors : an ordinary agent whose decisions are driven by public information and an insider who possesses from the beginning a surplus of information encoded…

Probability · Mathematics 2024-07-16 Hélène Halconruy

We derive closed-form solutions to the optimal stopping problems related to the pricing of perpetual American standard and lookback put and call options in the extensions of the Black-Merton-Scholes model with progressively enlarged…

Mathematical Finance · Quantitative Finance 2025-07-08 Pavel V. Gapeev , Libo Li

Insider information and model uncertainty are two unavoidable problems for the portfolio selection theory in reality. This paper studies the robust optimal portfolio strategy for an investor who owns general insider information under model…

Numerical Analysis · Mathematics 2022-07-11 Chao Yu , Yuhan Cheng

In a unified framework we study equilibrium in the presence of an insider having information on the signal of the firm value, which is naturally connected to the fundamental price of the firm related asset. The fundamental value itself is…

Pricing of Securities · Quantitative Finance 2018-03-07 José Manuel Corcuera , Giulia Di Nunno , Gergely Farkas , Bernt Øksendal

We consider a counter-adversarial sequential decision-making problem where an agent computes its private belief (posterior distribution) of the current state of the world, by filtering private information. According to its private belief,…

Systems and Control · Electrical Eng. & Systems 2020-04-09 Inês Lourenço , Robert Mattila , Cristian R. Rojas , Bo Wahlberg

This paper considers finitely many investors who perform mean-variance portfolio selection under relative performance criteria. That is, each investor is concerned about not only her terminal wealth, but how it compares to the average…

Mathematical Finance · Quantitative Finance 2026-05-14 Yu-Jui Huang , Li-Hsien Sun

In 1996, Pikovsky and Karatzas did one of the earliest studies on portfolio optimization problems in presence of insider information. They were able to successfully show that the knowledge of the stock price at future time is an insider…

Probability · Mathematics 2019-10-29 Bernardo D'Auria , José Antonio Salmerón

We study the maximization of the logarithmic utility for an insider with different anticipating techniques. Our aim is to compare the utilization of Russo-Vallois forward and Skorokhod integrals in this context. Theoretical analysis and…

Optimization and Control · Mathematics 2025-09-16 Mauricio Elizalde , Carlos Escudero , Tomoyuki Ichiba

This paper develops a continuous-time filtering framework for estimating a hazard rate subject to an unobservable change-point. This framework naturally arises in both financial and insurance applications, where the default intensity of a…

Mathematical Finance · Quantitative Finance 2026-01-12 Matteo Buttarazzi , Claudia Ceci

An insider is a team member who covertly deviates from the team's optimal collaborative strategy to pursue a private objective while still appearing cooperative. Such an insider may initially behave cooperatively but later switch to selfish…

Optimization and Control · Mathematics 2026-04-01 Gehui Xu , Kaiwen Chen , Zhong-Ping Jiang , Thomas Parisini , Andreas A. Malikopoulos
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