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Optimal Trading With Multiplicative Transient Price Impact For Non Stochastic Or Stochastic Liquidity
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Book Synopsis Optimal Trading with Multiplicative Transient Price Impact for Non-stochastic Or Stochastic Liquidity by : Peter Frentrup
Download or read book Optimal Trading with Multiplicative Transient Price Impact for Non-stochastic Or Stochastic Liquidity written by Peter Frentrup and published by . This book was released on 2019* with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Discrete Homotopy Analysis for Optimal Trading Execution with Nonlinear Transient Market Impact by : Gianbiagio Curato
Download or read book Discrete Homotopy Analysis for Optimal Trading Execution with Nonlinear Transient Market Impact written by Gianbiagio Curato and published by . This book was released on 2016 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal execution in financial markets is the problem of how to trade a large quantity of shares incrementally in time in order to minimise the expected cost. In this paper we study the problem of the optimal execution in the presence of nonlinear transient market impact. Mathematically such problem is equivalent to solve a strongly nonlinear integral equation, which in our model is a weakly singular Urysohn equation of the first kind. We propose an approach based on homotopy analysis method (HAM), whereby a well behaved initial trading strategy is continuously deformed to lower the expected execution cost. Specifically we propose a discrete version of the HAM, i.e. the DHAM approach, in order to use the method when the integrals to compute have no closed form solution. We find that the optimal solution is front loaded for concave instantaneous impact even when the investor is risk neutral. More important we find that the expected cost of the DHAM strategy is significantly smaller than the cost of conventional strategies.
Book Synopsis Optimal Trade Execution Under Stochastic Volatility and Liquidity by : Patrick Cheridito
Download or read book Optimal Trade Execution Under Stochastic Volatility and Liquidity written by Patrick Cheridito and published by . This book was released on 2014 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study the problem of optimally liquidating a financial position in a discrete-time model with stochastic volatility and liquidity. We consider the three cases where the objective is to minimize the expectation, an expected exponential and a mean-variance criterion of the implementation cost. In the first case, the optimal solution can be fully characterized by a forward-backward system of stochastic equations depending on conditional expectations of future liquidity. In the other two cases we derive Bellman equations from which the optimal solutions can be obtained numerically by discretizing the control space. In all three cases we compute optimal strategies for different simulated realizations of prices, volatility and liquidity and compare the outcomes to the ones produced by the deterministic strategies of Bertsimas and Lo and Almgren and Chriss.
Book Synopsis Optimal Execution with Nonlinear Transient Market Impact by : Gianbiagio Curato
Download or read book Optimal Execution with Nonlinear Transient Market Impact written by Gianbiagio Curato and published by . This book was released on 2017 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study the problem of the optimal execution of a large trade in the propagator model with nonlinear transient impact. From brute force numerical optimization of the cost functional, we find that the optimal solution for a buy program typically features a few short intense buying periods separated by long periods of weak selling. Indeed, in some cases we find negative expected cost. We show that this undesirable characteristic of the nonlinear transient impact model may be mitigated either by introducing a bid-ask spread cost or by imposing convexity of the instantaneous market impact function for large trading rates.
Book Synopsis Optimal Liquidation with Signals by : Eduardo Abi Jaber
Download or read book Optimal Liquidation with Signals written by Eduardo Abi Jaber and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider a class of optimal liquidation problems where the agent's transactions create transient price impact driven by a Volterra-type propagator along with temporary price impact. We formulate these problems as minimization of a revenue-risk functionals, where the agent also exploits available information on a progressively measurable price predicting signal. By using an infinite dimensional stochastic control approach, we characterize the value function in terms of a solution to a free-boundary L2-valued backward stochastic differential equation and an operator-valued Riccati equation. We then derive analytic solutions to these equations which yields an explicit expression for the optimal trading strategy.We show that our formulas can be implemented in a straightforward and efficient way for a large class of price impact kernels with possible singularities such as the power-law kernel.
Book Synopsis Optimal Liquidity Trading by : Gur Huberman
Download or read book Optimal Liquidity Trading written by Gur Huberman and published by . This book was released on 2011 with total page 59 pages. Available in PDF, EPUB and Kindle. Book excerpt: A liquidity trader wishes to trade a fixed number of shares within a certain time horizon and to minimize the mean and variance of the costs of trading. Explicit formulas for the optimal trading strategies show that risk-averse liquidity traders reduce their order sizes over time and execute a higher fraction of their total trading volume in early periods when price volatility or liquidity increases. In the presence of transaction fees, traders want to trade less often when either price volatility or liquidity goes up or when the speed of price reversion declines. In the multi-asset case, price effects across assets have a substantial impact on trading behavior.
Book Synopsis Arbitrage-free Price-impact Functions and Optimal Liquidity Trading by : Werner Stanzl
Download or read book Arbitrage-free Price-impact Functions and Optimal Liquidity Trading written by Werner Stanzl and published by . This book was released on 2000 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimal Trading Strategies: Quantitative Approaches For Managing Market Impact And Trading Risk by : Kissell & Glantz
Download or read book Optimal Trading Strategies: Quantitative Approaches For Managing Market Impact And Trading Risk written by Kissell & Glantz and published by . This book was released on with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Commodity Price Dynamics by : Craig Pirrong
Download or read book Commodity Price Dynamics written by Craig Pirrong and published by Cambridge University Press. This book was released on 2011-10-31 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Commodities have become an important component of many investors' portfolios and the focus of much political controversy over the past decade. This book utilizes structural models to provide a better understanding of how commodities' prices behave and what drives them. It exploits differences across commodities and examines a variety of predictions of the models to identify where they work and where they fail. The findings of the analysis are useful to scholars, traders and policy makers who want to better understand often puzzling - and extreme - movements in the prices of commodities from aluminium to oil to soybeans to zinc.
Book Synopsis Handbook of Brownian Motion - Facts and Formulae by : Andrei N. Borodin
Download or read book Handbook of Brownian Motion - Facts and Formulae written by Andrei N. Borodin and published by Springer Science & Business Media. This book was released on 2015-07-14 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is easy reference to a wealth of facts and formulae associated with Brownian motion, collecting in one volume more than 2500 numbered formulae. The book serves as a basic reference for researchers, graduate students, and people doing applied work with Brownian motion and diffusions, and can be used as a source of explicit examples when teaching stochastic processes.
Book Synopsis Handbook on Systemic Risk by : Jean-Pierre Fouque
Download or read book Handbook on Systemic Risk written by Jean-Pierre Fouque and published by Cambridge University Press. This book was released on 2013-05-23 with total page 993 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook on Systemic Risk, written by experts in the field, provides researchers with an introduction to the multifaceted aspects of systemic risks facing the global financial markets. The Handbook explores the multidisciplinary approaches to analyzing this risk, the data requirements for further research, and the recommendations being made to avert financial crisis. The Handbook is designed to encourage new researchers to investigate a topic with immense societal implications as well as to provide, for those already actively involved within their own academic discipline, an introduction to the research being undertaken in other disciplines. Each chapter in the Handbook will provide researchers with a superior introduction to the field and with references to more advanced research articles. It is the hope of the editors that this Handbook will stimulate greater interdisciplinary academic research on the critically important topic of systemic risk in the global financial markets.
Book Synopsis Empirical Market Microstructure by : Joel Hasbrouck
Download or read book Empirical Market Microstructure written by Joel Hasbrouck and published by Oxford University Press. This book was released on 2007-01-04 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interactions that occur in securities markets are among the fastest, most information intensive, and most highly strategic of all economic phenomena. This book is about the institutions that have evolved to handle our trading needs, the economic forces that guide our strategies, and statistical methods of using and interpreting the vast amount of information that these markets produce. The book includes numerous exercises.
Book Synopsis Stochastic Analysis for Finance with Simulations by : Geon Ho Choe
Download or read book Stochastic Analysis for Finance with Simulations written by Geon Ho Choe and published by Springer. This book was released on 2016-07-14 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to stochastic analysis and quantitative finance; it includes both theoretical and computational methods. Topics covered are stochastic calculus, option pricing, optimal portfolio investment, and interest rate models. Also included are simulations of stochastic phenomena, numerical solutions of the Black–Scholes–Merton equation, Monte Carlo methods, and time series. Basic measure theory is used as a tool to describe probabilistic phenomena. The level of familiarity with computer programming is kept to a minimum. To make the book accessible to a wider audience, some background mathematical facts are included in the first part of the book and also in the appendices. This work attempts to bridge the gap between mathematics and finance by using diagrams, graphs and simulations in addition to rigorous theoretical exposition. Simulations are not only used as the computational method in quantitative finance, but they can also facilitate an intuitive and deeper understanding of theoretical concepts. Stochastic Analysis for Finance with Simulations is designed for readers who want to have a deeper understanding of the delicate theory of quantitative finance by doing computer simulations in addition to theoretical study. It will particularly appeal to advanced undergraduate and graduate students in mathematics and business, but not excluding practitioners in finance industry.
Book Synopsis Handbook of Financial Markets: Dynamics and Evolution by : Thorsten Hens
Download or read book Handbook of Financial Markets: Dynamics and Evolution written by Thorsten Hens and published by Elsevier. This book was released on 2009-06-12 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: The models of portfolio selection and asset price dynamics in this volume seek to explain the market dynamics of asset prices. Presenting a range of analytical, empirical, and numerical techniques as well as several different modeling approaches, the authors depict the state of debate on the market selection hypothesis. By explicitly assuming the heterogeneity of investors, they present models that are descriptive and normative as well, making the volume useful for both finance theorists and financial practitioners. Explains the market dynamics of asset prices, offering insights about asset management approaches Assumes a heterogeneity of investors that yields descriptive and normative models of portfolio selections and asset pricing dynamics
Book Synopsis Monte Carlo Simulation and Finance by : Don L. McLeish
Download or read book Monte Carlo Simulation and Finance written by Don L. McLeish and published by John Wiley & Sons. This book was released on 2011-09-13 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monte Carlo methods have been used for decades in physics, engineering, statistics, and other fields. Monte Carlo Simulation and Finance explains the nuts and bolts of this essential technique used to value derivatives and other securities. Author and educator Don McLeish examines this fundamental process, and discusses important issues, including specialized problems in finance that Monte Carlo and Quasi-Monte Carlo methods can help solve and the different ways Monte Carlo methods can be improved upon. This state-of-the-art book on Monte Carlo simulation methods is ideal for finance professionals and students. Order your copy today.
Book Synopsis Econophysics of Order-driven Markets by : Frédéric Abergel
Download or read book Econophysics of Order-driven Markets written by Frédéric Abergel and published by Springer Science & Business Media. This book was released on 2011-04-06 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary goal of the book is to present the ideas and research findings of active researchers from various communities (physicists, economists, mathematicians, financial engineers) working in the field of "Econophysics", who have undertaken the task of modelling and analyzing order-driven markets. Of primary interest in these studies are the mechanisms leading to the statistical regularities ("stylized facts") of price statistics. Results pertaining to other important issues such as market impact, the profitability of trading strategies, or mathematical models for microstructure effects, are also presented. Several leading researchers in these fields report on their recent work and also review the contemporary literature. Some historical perspectives, comments and debates on recent issues in Econophysics research are also included.
Book Synopsis International Dimensions of Monetary Policy by : Jordi Galí
Download or read book International Dimensions of Monetary Policy written by Jordi Galí and published by University of Chicago Press. This book was released on 2010-03-15 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: United States monetary policy has traditionally been modeled under the assumption that the domestic economy is immune to international factors and exogenous shocks. Such an assumption is increasingly unrealistic in the age of integrated capital markets, tightened links between national economies, and reduced trading costs. International Dimensions of Monetary Policy brings together fresh research to address the repercussions of the continuing evolution toward globalization for the conduct of monetary policy. In this comprehensive book, the authors examine the real and potential effects of increased openness and exposure to international economic dynamics from a variety of perspectives. Their findings reveal that central banks continue to influence decisively domestic economic outcomes—even inflation—suggesting that international factors may have a limited role in national performance. International Dimensions of Monetary Policy will lead the way in analyzing monetary policy measures in complex economies.
