Utility Maximization Trading Two Futures with Transaction Costs

Utility Maximization Trading Two Futures with Transaction Costs

Author: Maxim Bichuch

Publisher:

Published: 2014

Total Pages: 58

ISBN-13:

DOWNLOAD EBOOK

An agent invests in two types of futures contracts, whose prices are possibly correlated arithmetic Brownian motions, and invests in a money market account with a constant interest rate. The agent pays a transaction cost for trading in futures proportional to the size of the trade. She also receives utility from consumption. The agent maximizes expected infinite-horizon discounted utility from consumption. We determine the first two terms in the asymptotic expansion of the value function in the transaction cost parameter around the known value function for the case of zero transaction cost. The method of solution when the futures are uncorrelated follows a method used previously to obtain the analogous result for one risky asset. However, when the futures are correlated, a new methodology must be developed. It is suspected in this case that the value function is not twice continuously differentiable, and this prevents application of the former methodology.


Paris-Princeton Lectures on Mathematical Finance 2013

Paris-Princeton Lectures on Mathematical Finance 2013

Author: Fred Espen Benth

Publisher: Springer

Published: 2013-07-11

Total Pages: 326

ISBN-13: 3319004131

DOWNLOAD EBOOK

The current volume presents four chapters touching on some of the most important and modern areas of research in Mathematical Finance: asset price bubbles (by Philip Protter); energy markets (by Fred Espen Benth); investment under transaction costs (by Paolo Guasoni and Johannes Muhle-Karbe); and numerical methods for solving stochastic equations (by Dan Crisan, K. Manolarakis and C. Nee).The Paris-Princeton Lecture Notes on Mathematical Finance, of which this is the fifth volume, publish cutting-edge research in self-contained, expository articles from renowned specialists. The aim is to produce a series of articles that can serve as an introductory reference source for research in the field.


Behavioral Finance

Behavioral Finance

Author: Lucy F. Ackert

Publisher: South Western Educational Publishing

Published: 2010

Total Pages: 0

ISBN-13: 9780538752862

DOWNLOAD EBOOK

The book begins by building upon the established, conventional principles of finance that you've have already learned in your principles course. The authors then move into psychological principles of behavioral finance, including heuristics and biases, overconfidence, emotion and social forces. You immediately see how human behavior influences the decisions of individual investors and professional finance practitioners, managers, and markets. You also gain a strong understanding of how social forces impact individuals' choices. The book clearly explains what behavioral finance indicates about observed market outcomes as well as how psychological biases potentially impact the behavior of managers. The book's solid academic approach provides opportunities for you to utilize theory and complete applications in every chapter as you learn the implications of behavioral finance on retirement, pensions, education, debiasing, and client management. The book spends a significant amount of time examining how today's practitioners can use behavioral finance to further their professional success.


Optimal Mean Reversion Trading: Mathematical Analysis And Practical Applications

Optimal Mean Reversion Trading: Mathematical Analysis And Practical Applications

Author: Tim Siu-tang Leung

Publisher: World Scientific

Published: 2015-11-26

Total Pages: 221

ISBN-13: 9814725935

DOWNLOAD EBOOK

Optimal Mean Reversion Trading: Mathematical Analysis and Practical Applications provides a systematic study to the practical problem of optimal trading in the presence of mean-reverting price dynamics. It is self-contained and organized in its presentation, and provides rigorous mathematical analysis as well as computational methods for trading ETFs, options, futures on commodities or volatility indices, and credit risk derivatives.This book offers a unique financial engineering approach that combines novel analytical methodologies and applications to a wide array of real-world examples. It extracts the mathematical problems from various trading approaches and scenarios, but also addresses the practical aspects of trading problems, such as model estimation, risk premium, risk constraints, and transaction costs. The explanations in the book are detailed enough to capture the interest of the curious student or researcher, and complete enough to give the necessary background material for further exploration into the subject and related literature.This book will be a useful tool for anyone interested in financial engineering, particularly algorithmic trading and commodity trading, and would like to understand the mathematically optimal strategies in different market environments.


Economics as an Art of Thought

Economics as an Art of Thought

Author: Peter Earl

Publisher: Routledge

Published: 2013-04-15

Total Pages: 450

ISBN-13: 1135633487

DOWNLOAD EBOOK

This volume unites scholars from all over the world, and with very different theoretical perspectives. Their chapters probe into typical Shacklean themes of time and money, uncertainty and expectation, and into the roots of G.L.S. Shackle's philosophical and methodological stance.


Louis Bachelier's Theory of Speculation

Louis Bachelier's Theory of Speculation

Author: Louis Bachelier

Publisher: Princeton University Press

Published: 2011-12-12

Total Pages: 205

ISBN-13: 1400829305

DOWNLOAD EBOOK

March 29, 1900, is considered by many to be the day mathematical finance was born. On that day a French doctoral student, Louis Bachelier, successfully defended his thesis Théorie de la Spéculation at the Sorbonne. The jury, while noting that the topic was "far away from those usually considered by our candidates," appreciated its high degree of originality. This book provides a new translation, with commentary and background, of Bachelier's seminal work. Bachelier's thesis is a remarkable document on two counts. In mathematical terms Bachelier's achievement was to introduce many of the concepts of what is now known as stochastic analysis. His purpose, however, was to give a theory for the valuation of financial options. He came up with a formula that is both correct on its own terms and surprisingly close to the Nobel Prize-winning solution to the option pricing problem by Fischer Black, Myron Scholes, and Robert Merton in 1973, the first decisive advance since 1900. Aside from providing an accurate and accessible translation, this book traces the twin-track intellectual history of stochastic analysis and financial economics, starting with Bachelier in 1900 and ending in the 1980s when the theory of option pricing was substantially complete. The story is a curious one. The economic side of Bachelier's work was ignored until its rediscovery by financial economists more than fifty years later. The results were spectacular: within twenty-five years the whole theory was worked out, and a multibillion-dollar global industry of option trading had emerged.


The New Palgrave Dictionary of Economics

The New Palgrave Dictionary of Economics

Author:

Publisher: Springer

Published: 2016-05-18

Total Pages: 7493

ISBN-13: 1349588024

DOWNLOAD EBOOK

The award-winning The New Palgrave Dictionary of Economics, 2nd edition is now available as a dynamic online resource. Consisting of over 1,900 articles written by leading figures in the field including Nobel prize winners, this is the definitive scholarly reference work for a new generation of economists. Regularly updated! This product is a subscription based product.


Strategic Asset Allocation

Strategic Asset Allocation

Author: John Y. Campbell

Publisher: OUP Oxford

Published: 2002-01-03

Total Pages: 272

ISBN-13: 019160691X

DOWNLOAD EBOOK

Academic finance has had a remarkable impact on many financial services. Yet long-term investors have received curiously little guidance from academic financial economists. Mean-variance analysis, developed almost fifty years ago, has provided a basic paradigm for portfolio choice. This approach usefully emphasizes the ability of diversification to reduce risk, but it ignores several critically important factors. Most notably, the analysis is static; it assumes that investors care only about risks to wealth one period ahead. However, many investors—-both individuals and institutions such as charitable foundations or universities—-seek to finance a stream of consumption over a long lifetime. In addition, mean-variance analysis treats financial wealth in isolation from income. Long-term investors typically receive a stream of income and use it, along with financial wealth, to support their consumption. At the theoretical level, it is well understood that the solution to a long-term portfolio choice problem can be very different from the solution to a short-term problem. Long-term investors care about intertemporal shocks to investment opportunities and labor income as well as shocks to wealth itself, and they may use financial assets to hedge their intertemporal risks. This should be important in practice because there is a great deal of empirical evidence that investment opportunities—-both interest rates and risk premia on bonds and stocks—-vary through time. Yet this insight has had little influence on investment practice because it is hard to solve for optimal portfolios in intertemporal models. This book seeks to develop the intertemporal approach into an empirical paradigm that can compete with the standard mean-variance analysis. The book shows that long-term inflation-indexed bonds are the riskless asset for long-term investors, it explains the conditions under which stocks are safer assets for long-term than for short-term investors, and it shows how labor income influences portfolio choice. These results shed new light on the rules of thumb used by financial planners. The book explains recent advances in both analytical and numerical methods, and shows how they can be used to understand the portfolio choice problems of long-term investors.


Essentials of Excel, Excel VBA, SAS and Minitab for Statistical and Financial Analyses

Essentials of Excel, Excel VBA, SAS and Minitab for Statistical and Financial Analyses

Author: Cheng-Few Lee

Publisher: Springer

Published: 2016-11-24

Total Pages: 1043

ISBN-13: 3319388673

DOWNLOAD EBOOK

This introductory textbook for business statistics teaches statistical analysis and research methods via business case studies and financial data using Excel, Minitab, and SAS. Every chapter in this textbook engages the reader with data of individual stock, stock indices, options, and futures. One studies and uses statistics to learn how to study, analyze, and understand a data set of particular interest. Some of the more popular statistical programs that have been developed to use statistical and computational methods to analyze data sets are SAS, SPSS, and Minitab. Of those, we look at Minitab and SAS in this textbook. One of the main reasons to use Minitab is that it is the easiest to use among the popular statistical programs. We look at SAS because it is the leading statistical package used in industry. We also utilize the much less costly and ubiquitous Microsoft Excel to do statistical analysis, as the benefits of Excel have become widely recognized in the academic world and its analytical capabilities extend to about 90 percent of statistical analysis done in the business world. We demonstrate much of our statistical analysis using Excel and double check the analysis and outcomes using Minitab and SAS—also helpful in some analytical methods not possible or practical to do in Excel.


Liquidity, Markets and Trading in Action

Liquidity, Markets and Trading in Action

Author: Deniz Ozenbas

Publisher: Springer Nature

Published: 2022

Total Pages: 111

ISBN-13: 3030748170

DOWNLOAD EBOOK

This open access book addresses four standard business school subjects: microeconomics, macroeconomics, finance and information systems as they relate to trading, liquidity, and market structure. It provides a detailed examination of the impact of trading costs and other impediments of trading that the authors call rictions It also presents an interactive simulation model of equity market trading, TraderEx, that enables students to implement trading decisions in different market scenarios and structures. Addressing these topics shines a bright light on how a real-world financial market operates, and the simulation provides students with an experiential learning opportunity that is informative and fun. Each of the chapters is designed so that it can be used as a stand-alone module in an existing economics, finance, or information science course. Instructor resources such as discussion questions, Powerpoint slides and TraderEx exercises are available online.