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This paper studies a robust continuous-time Markowitz portfolio selection pro\-blem where the model uncertainty carries on the covariance matrix of multiple risky assets. This problem is formulated into a min-max mean-variance problem over…

Portfolio Management · Quantitative Finance 2017-03-14 Amine Ismail , Huyên Pham

Motivated by empirical evidence for rough volatility models, this paper investigates continuous-time mean-variance (MV) portfolio selection under the Volterra Heston model. Due to the non-Markovian and non-semimartingale nature of the…

Portfolio Management · Quantitative Finance 2020-01-30 Bingyan Han , Hoi Ying Wong

Analytical, free of time consuming Monte Carlo simulations, framework for credit portfolio systematic risk metrics calculations is presented. Techniques are described that allow calculation of portfolio-level systematic risk measures…

Risk Management · Quantitative Finance 2010-08-02 Mikhail Voropaev

This paper is concerned with portfolio optimization models for creating high-quality lists of recommended items to balance the accuracy and diversity of recommendations. However, the statistics (i.e., expectation and covariance of ratings)…

Information Retrieval · Computer Science 2024-10-01 Tomoya Yanagi , Shunnosuke Ikeda , Yuichi Takano

When we implement a portfolio selection methodology under a mean-risk formulation, it is essential to correctly model investors' risk aversion which may be time-dependent, or even state-dependent during the investment procedure. In this…

Portfolio Management · Quantitative Finance 2015-08-04 Xiangyu Cui , Xun Li , Duan Li , Yun Shi

This paper resolves a question proposed in Kardaras and Robertson [Ann. Appl. Probab. 22 (2012) 1576-1610]: how to invest in a robust growth-optimal way in a market where precise knowledge of the covariance structure of the underlying…

Portfolio Management · Quantitative Finance 2013-09-09 Erhan Bayraktar , Yu-Jui Huang

We set up a structural model to study credit risk for a portfolio containing several or many credit contracts. The model is based on a jump--diffusion process for the risk factors, i.e. for the company assets. We also include correlations…

Risk Management · Quantitative Finance 2008-12-02 Rudi Schäfer , Markus Sjölin , Andreas Sundin , Michal Wolanski , Thomas Guhr

Previous literature shows that prevalent risk measures such as Value at Risk or Expected Shortfall are ineffective to curb excessive risk-taking by a tail-risk-seeking trader with S-shaped utility function in the context of portfolio…

Portfolio Management · Quantitative Finance 2020-11-09 John Armstrong , Damiano Brigo , Alex S. L. Tse

Under mean-variance-utility framework, we propose a new portfolio selection model, which allows wealth and time both have influences on risk aversion in the process of investment. We solved the model under a game theoretic framework and…

Portfolio Management · Quantitative Finance 2020-08-11 Ben-Zhang Yang , Xin-Jiang He , Song-Ping Zhu

We present a simulation-and-regression method for solving dynamic portfolio allocation problems in the presence of general transaction costs, liquidity costs and market impacts. This method extends the classical least squares Monte Carlo…

Portfolio Management · Quantitative Finance 2019-06-05 Rongju Zhang , Nicolas Langrené , Yu Tian , Zili Zhu , Fima Klebaner , Kais Hamza

In this paper, we study closed-loop equilibrium strategies for mean-variance portfolio selection problem in a hidden Markov model with dynamic attention behavior. In addition to the investment strategy, the investor's attention to news is…

Optimization and Control · Mathematics 2022-05-19 Y. Zhang , Z. Jin , J. Wei , G. Yin

The comparative statics of the optimal portfolios across individuals is carried out for a continuous-time complete market model, where the risky assets price process follows a joint geometric Brownian motion with time-dependent and…

Portfolio Management · Quantitative Finance 2012-01-04 Jianming Xia

The aim of this work consists in the study of the optimal investment strategy for a behavioural investor, whose preference towards risk is described by both a probability distortion and an S-shaped utility function. Within a continuous-time…

Portfolio Management · Quantitative Finance 2013-04-30 Miklos Rasonyi , Andrea M. Rodrigues

The portfolio optimisation problem, first raised by Harry Markowitz in 1952, has been a fundamental and central topic to understanding the stock market and making decisions. There has been plenty of works contributing to development of the…

Portfolio Management · Quantitative Finance 2019-07-09 Xiang Meng

We consider a liquidation problem in which a risk-averse trader tries to liquidate a fixed quantity of an asset in the presence of market impact and random price fluctuations. The trader encounters a trade-off between the transaction costs…

Trading and Market Microstructure · Quantitative Finance 2022-01-31 Seungki Min , Ciamac C. Moallemi , Costis Maglaras

We analyze the consumption-portfolio selection problem of an investor facing both Brownian and jump risks. We bring new tools, in the form of orthogonal decompositions, to bear on the problem in order to determine the optimal portfolio in…

Probability · Mathematics 2009-06-15 Yacine Aït-Sahalia , Julio Cacho-Diaz , T. R. Hurd

A new jump diffusion regime-switching model is introduced, which allows for linking jumps in asset prices with regime changes. We prove the existence and uniqueness of the solution to the risk-sensitive asset management criterion…

Portfolio Management · Quantitative Finance 2016-01-21 Grzegorz Andruszkiewicz , Mark H. A. Davis , Sébastien Lleo

In this paper, we study the portfolio utility maximization in the case where the risky asset is driven by a Brownian motion and an independent homogeneous Poisson measure, with strategies that may include jump signals. This means that the…

Optimization and Control · Mathematics 2026-05-21 Lokmane Abbas Turki , Sigui Brice Dro , Idris Kharroubi

Providing optimal portfolio selection for investors has always been one of the hot topics in academia. In view of the traditional portfolio model could not adapt to the actual capital market and can provide erroneous results. This paper…

Portfolio Management · Quantitative Finance 2024-11-26 Yong Li

The "standard" Merton formulation of optimal investment and consumption involves optimizing the integrated lifetime utility of consumption, suitably discounted, together with the discounted future bequest. In this formulation the utility of…

Portfolio Management · Quantitative Finance 2008-12-02 Roman Naryshkin , Matt Davison