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We study a robust utility maximization problem in a general discrete-time frictionless market under quasi-sure no-arbitrage. The investor is assumed to have a random and concave utility function defined on the whole real-line. She also…

数理金融 · 定量金融 2024-02-28 Laurence Carassus , Massinissa Ferhoune

We consider an arbitrage-free, discrete time and frictionless market. We prove that an investor maximising the expected utility of her terminal wealth can always find an optimal investment strategy provided that her dissatisfaction of…

投资组合管理 · 定量金融 2014-09-09 Miklos Rasonyi

We consider an optimal investment problem to maximize expected utility of the terminal wealth, in an illiquid market with search frictions and transaction costs. In the market model, an investor's attempt of transaction is successful only…

数理金融 · 定量金融 2021-08-18 Jin Hyuk Choi , Tae Ung Gang

We calculate explicitly the optimal strategy for an investor with exponential utility function when the stock price follows an autoregressive Gaussian process. We also calculate its performance and analyse it when the trading horizon tends…

最优化与控制 · 数学 2015-01-08 Sándor Deák , Miklós Rásonyi

We consider a stochastic model of investment on an asset of a stock market for a prudent investor. She decides to buy permanent goods with a fraction $\a$ of the maximum amount of money owned in her life in order that her economic level…

无序系统与神经网络 · 物理学 2009-09-25 R. Baviera , M. Pasquini , M. Serva , A. Vulpiani

We consider a financial market model driven by an R^n-valued Gaussian process with stationary increments which is different from Brownian motion. This driving noise process consists of $n$ independent components, and each component has…

概率论 · 数学 2008-12-02 Akihiko Inoue , Yumiharu Nakano

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…

投资组合管理 · 定量金融 2019-09-19 Katia Colaneri , Stefano Herzel , Marco Nicolosi

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 construct an utility-based dynamic asset pricing model for a limit order market. The price is nonlinear in volume and subject to market impact. We solve an optimal hedging problem under the market impact and derive the dynamics of the…

证券定价 · 定量金融 2014-10-31 Masaaki Fukasawa

In this paper, the Kyle model of insider trading is extended by characterizing the trading volume with long memory and allowing the noise trading volatility to follow a general stochastic process. Under this newly revised model, the…

数理金融 · 定量金融 2019-01-08 Ben-zhang Yang , Xinjiang He , Nan-jing Huang

This paper addresses the question of how to invest in a robust growth-optimal way in a market where the instantaneous expected return of the underlying process is unknown. The optimal investment strategy is identified using a generalized…

投资组合管理 · 定量金融 2012-08-22 Constantinos Kardaras , Scott Robertson

We propose to study market efficiency from a computational viewpoint. Borrowing from theoretical computer science, we define a market to be \emph{efficient with respect to resources $S$} (e.g., time, memory) if no strategy using resources…

计算工程、金融与科学 · 计算机科学 2009-09-01 Jasmina Hasanhodzic , Andrew W. Lo , Emanuele Viola

We consider a discrete-time financial market model with finite time horizon and give conditions which guarantee the existence of an optimal strategy for the problem of maximizing expected terminal utility. Equivalent martingale measures are…

概率论 · 数学 2008-12-10 Miklos Rasonyi , Lukasz Stettner

We consider a discrete-time model of a financial market where a risky asset is bought and sold with transactions having a transient price impact. It is shown that the corresponding utility maximization problem admits a solution. We manage…

投资组合管理 · 定量金融 2025-11-18 Lóránt Nagy , Miklós Rásonyi

We study the problem of optimal portfolio selection in an illiquid market with discrete order flow. In this market, bids and offers are not available at any time but trading occurs more frequently near a terminal horizon. The investor can…

投资组合管理 · 定量金融 2009-07-14 Paul Gassiat , Huyen Pham , Mihai Sirbu

We introduce a criterion how to price derivatives in incomplete markets, based on the theory of growth optimal strategy in repeated multiplicative games. We present reasons why these growth-optimal strategies should be particularly relevant…

统计力学 · 物理学 2009-10-31 Erik Aurell , Roberto Baviera , Ola Hammarlid , Maurizio Serva , Angelo Vulpiani

We consider an optimal consumption/investment problem to maximize expected utility from consumption. In this market model, the investor is allowed to choose a portfolio which consists of one bond, one liquid risky asset (no transaction…

数理金融 · 定量金融 2019-01-30 Jin Hyuk Choi

We introduce a price impact model which accounts for finite market depth, tightness and resilience. Its coupled bid- and ask-price dynamics induce convex liquidity costs. We provide existence of an optimal solution to the classical problem…

数理金融 · 定量金融 2018-04-23 Peter Bank , Moritz Voß

We consider an illiquid financial market with different regimes modeled by a continuous-time finite-state Markov chain. The investor can trade a stock only at the discrete arrival times of a Cox process with intensity depending on the…

投资组合管理 · 定量金融 2012-04-26 Paul Gassiat , Fausto Gozzi , Huyên Pham

We study a problem of optimal investment/consumption over an infinite horizon in a market consisting of two possibly correlated assets: one liquid and one illiquid. The liquid asset is observed and can be traded continuously, while the…

投资组合管理 · 定量金融 2015-03-20 Salvatore Federico , Paul Gassiat , Fausto Gozzi
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