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This paper is the continuation of "Pricing with coherent risk" and deals with further applications of coherent risk measures to problems of finance. First, we study the optimization problem. Three forms of this problem are considered.…

概率论 · 数学 2008-12-10 Alexander S. Cherny

In a market with transaction costs, the price of a derivative can be expressed in terms of (preconsistent) price systems (after Kusuoka (1995)). In this paper, we consider a market with binomial model for stock price and discuss how to…

概率论 · 数学 2008-12-10 Tzuu-Shuh Chiang , Shang-Yuan Shiu , Shuenn-Jyi Sheu

We consider an incomplete multi-asset binomial market model. We prove that for a wide class of contingent claims the extremal multi-step martingale measure is a power of the corresponding single-step extremal martingale measure. This allows…

数理金融 · 定量金融 2023-03-01 Jarek Kędra , Assaf Libman , Victoria Steblovskaya

This paper is concerned with the determination of pricing strategies for a firm that in each period of a finite horizon receives replenishment quantities of a single product which it sells in two markets, e.g., a long-distance market and an…

最优化与控制 · 数学 2015-09-25 Wen , Chen , Adam Fleischhacker , Michael N. Katehakis

We develop a behavioral asset pricing model in which agents trade in a market with information friction. Profit-maximizing agents switch between trading strategies in response to dynamic market conditions. Due to noisy private information…

交易与市场微观结构 · 定量金融 2019-05-02 Zhentao Shi , Huanhuan Zheng

Since exchange economy considerably varies in the market assets, asset prices have become an attractive research area for investigating and modeling ambiguous and uncertain information in today markets. This paper proposes a new generative…

综合金融 · 定量金融 2018-03-28 Farouq Abdulaziz Masoudy

Market-based mechanisms such as auctions are being studied as an appropriate means for resource allocation in distributed and mulitagent decision problems. When agents value resources in combination rather than in isolation, they must often…

人工智能 · 计算机科学 2013-01-30 Craig Boutilier , Moises Goldszmidt , Bikash Sabata

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

This paper studies the optimal investment problem with random endowment in an inventory-based price impact model with competitive market makers. Our goal is to analyze how price impact affects optimal policies, as well as both pricing rules…

数理金融 · 定量金融 2018-12-10 Michail Anthropelos , Scott Robertson , Konstantinos Spiliopoulos

Empirical evidence suggests that even the most competitive markets are not strictly efficient. Price histories can be used to predict near future returns with a probability better than random chance. Many markets can be considered as {\it…

统计力学 · 物理学 2009-10-31 Yi-Cheng Zhang

With model uncertainty characterized by a convex, possibly non-dominated set of probability measures, the agent minimizes the cost of hedging a path dependent contingent claim with given expected success ratio, in a discrete-time,…

数理金融 · 定量金融 2017-09-29 Erhan Bayraktar , Gu Wang

We introduce behavioral inequalities as a way to model dynamical systems defined by inequalities among their variables of interest. We claim that such a formulation enables the representation of safety-aware dynamical systems, systems with…

系统与控制 · 电气工程与系统科学 2025-04-03 Soutrik Bandyopadhyay , Debasattam Pal , Shubhendu Bhasin

We study utility indifference prices and optimal purchasing quantities for a contingent claim, in an incomplete semi-martingale market, in the presence of vanishing hedging errors and/or risk aversion. Assuming that the average indifference…

数理金融 · 定量金融 2016-09-23 Michail Anthropelos , Scott Robertson , Konstantinos Spiliopoulos

We price a contingent claim liability using the utility indifference argument. We consider an agent with exponential utility, who invests in a stock and a money market account with the goal of maximizing the utility of his investment at the…

证券定价 · 定量金融 2011-12-14 Maxim Bichuch

We consider a general local-stochastic volatility model and an investor with exponential utility. For a European-style contingent claim, whose payoff may depend on either a traded or non-traded asset, we derive an explicit approximation for…

数理金融 · 定量金融 2015-09-04 Matthew Lorig

Financial markets are often modelled as if time were unique and continuous across assets and markets. Financial markets are however asynchronous, order flow is event-driven, and waiting times between events are often random. Many of the…

交易与市场微观结构 · 定量金融 2026-04-29 Chris Angstmann , Tim Gebbie

We study a market model in which the volatility of the stock may jump at a random time from a fixed value to another fixed value. This model was already described in the literature. We present a new approach to the problem, based on partial…

统计力学 · 物理学 2008-12-02 Miquel Montero

We study the optimal timing of derivative purchases in incomplete markets. In our model, an investor attempts to maximize the spread between her model price and the offered market price through optimally timing her purchase. Both the…

证券定价 · 定量金融 2011-10-12 Tim Leung , Michael Ludkovski

We define and study a rather complex market model, inspired from the Santa Fe artificial market and the Minority Game. Agents have different strategies among which they can choose, according to their relative profitability, with the…

凝聚态物理 · 物理学 2009-11-07 Irene Giardina , Jean-Philippe Bouchaud

Strategy evaluation schemes are a crucial factor in any agent-based market model, as they determine the agents' strategy preferences and consequently their behavioral pattern. This study investigates how the strategy evaluation schemes…

投资组合管理 · 定量金融 2010-08-24 Yongjoo Baek , Sang Hoon Lee , Hawoong Jeong