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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…

投资组合管理 · 定量金融 2016-02-03 Rüdiger Frey , Abdelali Gabih , Ralf Wunderlich

We address a portfolio selection problem that combines active (outperformance) and passive (tracking) objectives using techniques from convex analysis. We assume a general semimartingale market model where the assets' growth rate processes…

投资组合管理 · 定量金融 2019-03-19 Ali Al-Aradi , Sebastian Jaimungal

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…

投资组合管理 · 定量金融 2015-10-21 Thomas Lim , Marie-Claire Quenez

We consider a stochastic factor financial model where the asset price process and the process for the stochastic factor depend on an observable Markov chain and exhibit an affine structure. We are faced with a finite time investment horizon…

投资组合管理 · 定量金融 2014-03-21 Marcos Escobar , Daniela Neykova , Rudi Zagst

We investigate how and when to diversify capital over assets, i.e., the portfolio selection problem, from a signal processing perspective. To this end, we first construct portfolios that achieve the optimal expected growth in i.i.d.…

投资组合管理 · 定量金融 2012-07-18 Sait Tunc , Mehmet A. Donmez , Suleyman S. Kozat

In this paper we develop a concrete and fully implementable approach to the optimization of functionally generated portfolios in stochastic portfolio theory. The main idea is to optimize over a family of rank-based portfolios parameterized…

投资组合管理 · 定量金融 2021-10-12 Steven Campbell , Ting-Kam Leonard Wong

We propose a novel portfolio selection approach that manages to ease some of the problems that characterise standard expected utility maximisation. The optimal portfolio is no longer defined as the extremum of a suitably chosen utility…

凝聚态物理 · 物理学 2009-09-29 P. Rossi , M. Tavoni , F. Cocco , R. Marschinski

We study the problem of optimal long term portfolio selection with a view to beat a benchmark. Two kinds of objectives are considered. One concerns the probability of outperforming the benchmark and seeks either to minimise the decay rate…

概率论 · 数学 2017-12-04 Anatolii A. Puhalskii

We study a utility maximization problem in a financial market with a stochastic drift process, combining a worst-case approach with filtering techniques. Drift processes are difficult to estimate from asset prices, and at the same time…

投资组合管理 · 定量金融 2021-11-04 Jörn Sass , Dorothee Westphal

Recent developments in deep learning techniques have motivated intensive research in machine learning-aided stock trading strategies. However, since the financial market has a highly non-stationary nature hindering the application of…

投资组合管理 · 定量金融 2020-12-15 Kentaro Imajo , Kentaro Minami , Katsuya Ito , Kei Nakagawa

We consider a multi-stock continuous time incomplete market model with random coefficients. We study the investment problem in the class of strategies which do not use direct observations of the appreciation rates of the stocks, but rather…

数理金融 · 定量金融 2015-02-10 Nikolai Dokuchaev

We consider the problem of dynamic buying and selling of shares from a collection of $N$ stocks with random price fluctuations. To limit investment risk, we place an upper bound on the total number of shares kept at any time. Assuming that…

投资组合管理 · 定量金融 2009-09-23 Michael J. Neely

We study a portfolio selection problem in a continuous-time It\^o-Markov additive market with prices of financial assets described by Markov additive processes which combine L\'evy processes and regime switching models. Thus the model takes…

投资组合管理 · 定量金融 2018-06-12 Zbigniew Palmowski , Łukasz Stettner , Anna Sulima

A Markovian modulation captures the trend in the market and influences the market coefficients accordingly. The different scenarios presented by the market are modeled as the distinct states of a discrete-time Markov chain. In our paper, we…

最优化与控制 · 数学 2022-02-09 Bernardo D'Auria , José A. Salmerón

This paper develops a method to derive optimal portfolios and risk premia explicitly in a general diffusion model for an investor with power utility and a long horizon. The market has several risky assets and is potentially incomplete.…

概率论 · 数学 2012-03-08 Paolo Guasoni , Scott Robertson

We investigate an optimal investment problem with a general performance criterion which, in particular, includes discontinuous functions. Prices are modeled as diffusions and the market is incomplete. We find an explicit solution for the…

概率论 · 数学 2008-12-02 Nikolai Dokuchaev , Ulrich Haussmann

This paper considers the problem of randomized influence maximization over a Markovian graph process: given a fixed set of nodes whose connectivity graph is evolving as a Markov chain, estimate the probability distribution (over this fixed…

社会与信息网络 · 计算机科学 2017-11-10 Buddhika Nettasinghe , Vikram Krishnamurthy

We consider optimal investment problems for a diffusion market model with non-observable random drifts that evolve as an Ito's process. Admissible strategies do not use direct observations of the market parameters, but rather use historical…

投资组合管理 · 定量金融 2008-12-02 Nikolai Dokuchaev

We consider an investor faced with the utility maximization problem in which the risky asset price process has pure-jump dynamics affected by an unobservable continuous-time finite-state Markov chain, the intensity of which can also be…

数理金融 · 定量金融 2017-06-13 Sühan Altay , Katia Colaneri , Zehra Eksi

Rough stochastic volatility models have attracted a lot of attentions recently, in particular for the linear option pricing problem. In this paper, starting with power utilities, we propose to use a martingale distortion representation of…

数理金融 · 定量金融 2017-12-12 Jean-Pierre Fouque , Ruimeng Hu
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