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We discuss the time evolution of quotation of stocks and commodities and show that they form an Ising chain. We show that transaction costs induce arbitrage risk that usually is neglected. The full analysis of the portfolio theory is…

凝聚态物理 · 物理学 2015-06-24 E. W. Piotrowski , J. Sladkowski

This work proposes a way to align statistical modeling with decision making. We provide a method that propagates the uncertainty in predictive modeling to the uncertainty in operational cost, where operational cost is the amount spent by…

机器学习 · 统计学 2015-03-19 Theja Tulabandhula , Cynthia Rudin

This survey is an introduction to asymptotic methods for portfolio-choice problems with small transaction costs. We outline how to derive the corresponding dynamic programming equations and simplify them in the small-cost limit. This allows…

投资组合管理 · 定量金融 2017-05-25 Johannes Muhle-Karbe , Max Reppen , H. Mete Soner

We present an approach for pricing European call options in presence of proportional transaction costs, when the stock price follows a general exponential L\'{e}vy process. The model is a generalization of the celebrated work of Davis,…

数理金融 · 定量金融 2021-06-18 Nicola Cantarutti , João Guerra , Manuel Guerra , Maria do Rosário Grossinho

Mounting empirical evidence suggests that the observed extreme prices within a trading period can provide valuable information about the volatility of the process within that period. In this paper we define a class of stochastic volatility…

统计金融 · 定量金融 2009-01-12 Abel Rodriguez , Henryk Gzyl , German Molina , Enrique ter Horst

Motivated by how transaction amount constrain trading volume and price volatility in stock market, we, in this paper, study the relation between volume and price if amount of transaction is given. We find that accumulative trading volume…

交易与市场微观结构 · 定量金融 2015-05-14 Leilei Shi

We develop a theoretical trading conditioning model subject to price volatility and return information in terms of market psychological behavior, based on analytical transaction volume-price probability wave distributions in which we use…

交易与市场微观结构 · 定量金融 2010-02-09 Leilei Shi , Yiwen Wang , Ding Chen , Liyan Han , Yan Piao , Chengling Gou

Two major financial market complexities are transaction costs and uncertain volatility, and we analyze their joint impact on the problem of portfolio optimization. When volatility is constant, the transaction costs optimal investment…

投资组合管理 · 定量金融 2014-08-28 Maxim Bichuch , Ronnie Sircar

Paper is based on "The cost of illiquidity and its effects on hedging", L. C. G. Rogers and Surbjeet Singh, 2010. We generalize its thesis to constant elasticity model, which own previously used Black-Schoels model as a special case. The…

数理金融 · 定量金融 2014-09-23 Krzysztof Turek

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 stochastic volatility models under parameter uncertainty and investigate how model derived prices of European options are affected. We let the pricing parameters evolve dynamically in time within a specified region, and…

数理金融 · 定量金融 2018-07-12 Samuel N. Cohen , Martin Tegnér

We introduce a general decision tree framework to value an option to invest/divest in a project, focusing on the model risk inherent in the assumptions made by standard real option valuation methods. We examine how real option values depend…

综合金融 · 定量金融 2018-09-06 Carol Alexander , Xi Chen

American options are financial instruments that can be exercised at any time before expiration. In this paper we study the problem of pricing this kind of derivatives within a framework in which some of the properties --volatility and…

物理与社会 · 物理学 2008-12-02 Miquel Montero

Transaction costs appear in financial markets in more than one form. There are several results in the literature on small proportional transaction cost and not that many on fixed transaction cost. In the present work, we heuristically study…

投资组合管理 · 定量金融 2013-04-30 Jose V. Alcala , Arash Fahim

The purpose of this work is to explore the role that arbitrage opportunities play in pricing financial derivatives. We use a non-equilibrium model to set up a stochastic portfolio, and for the random arbitrage return, we choose a stationary…

综合数学 · 数学 2015-06-26 Sergei Fedotov , Stephanos Panayides

This paper deals with the problem of discrete-time option pricing by the mixed fractional version of Merton model with transaction costs. By a mean-self-financing delta hedging argument in a discrete-time setting, a European call option…

证券定价 · 定量金融 2017-02-02 Foad Shokrollahi

The pricing and hedging of a general class of options (including American, Bermudan and European options) on multiple assets are studied in the context of currency markets where trading is subject to proportional transaction costs, and…

证券定价 · 定量金融 2014-06-03 Alet Roux , Tomasz Zastawniak

This paper studies arbitrage pricing theory in financial markets with implicit transaction costs. We extend the existing theory to include the more realistic possibility that the price at which the investors trade is dependent on the traded…

证券定价 · 定量金融 2017-07-25 Erindi Allaj

We study convexity and monotonicity properties for prices of bonds and bond options when the short rate is modeled by a diffusion process. We provide conditions under which convexity of the price in the short rate is guaranteed. Under these…

偏微分方程分析 · 数学 2008-12-10 Erik Ekstrom , Johan Tysk

We study convexity and monotonicity properties of option prices in a model with jumps using the fact that these prices satisfy certain parabolic integro-differential equations. Conditions are provided under which preservation of convexity…

偏微分方程分析 · 数学 2008-12-10 Erik Ekström , Johan Tysk