Download or read book Optimal Consumption and Portfolio Policies when Asset Prices Follow a Diffusion Process written by John C. Cox and published by . This book was released on 1987 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Asset Pricing and Optimal Portfolio Choice in the Presence of Illiquid Durable Consumption Goods written by Sanford J. Grossman and published by . This book was released on 1987 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: We analyze a model of optimal consumption and portfolio selection in which consumption services are generated by holding a durable good. The durable good is illiquid in that a transaction cost must be paid when the good is sold. It is shown that optimal consumption is not a smooth function of wealth; it is optimal for the consumer to wait until a large change in wealth occurs before adjusting his consumption. As a consequence, the consumption based capital asset pricing model fails to hold. Nevertheless, it is shown that the standard, one factor, market portfolio based capital asset pricing model does hold in this environment. It is shown that the optimal durable level is characterized by three numbers (not random variables), say x, y, and z (where x

Download or read book Asset Pricing and Optimal Portfolio Choice in the Presence of Illiquid Durable Consumption Goods written by Sanford J. Grossman and published by . This book was released on 2012 with total page 59 pages. Available in PDF, EPUB and Kindle. Book excerpt: We analyze a model of optimal consumption and portfolio selection in which consumption services are generated by holding a durable good. The durable good is illiquid in that a transaction cost must be paid when the good is sold. It is shown that optimal consumption is not a smooth function of wealth; it is optimal for the consumer to wait until a large change in wealth occurs before adjusting his consumption. As a consequence, the consumption based capital asset pricing model fails to hold. Nevertheless, it is shown that the standard, one factor, market portfolio based capital asset pricing model does hold in this environment. It is shown that the optimal durable level is characterized by three numbers (not random variables), say x, y, and z (where x lt; y lt; z). The consumer views the ratio of consumption to wealth (c/W) as his state variable. If this ratio is between x and z, then he does not sell the durable. If c/W is less than x or greater than z, then he sells his durable and buys a new durable of size S so that S/W = y. Thus y is his quot;targetquot; level of c/W. If the stock market moves up enough so that c/W falls below x, then he sells his small durable to buy a larger durable. However, there will be many changes in the value of his wealth for which c/W stays between x and z, and thus consumption does not change. Numerical simulations show that small transactions costs can make consumption changes occur very infrequently. Further, the effect of transactions costs on the demand for risky assets is substantial.

Download or read book Quasi Monte Carlo Methods in Finance with Application to Optimal Asset Allocation written by Mario Rometsch and published by diplom.de. This book was released on 2014-04-11 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inhaltsangabe:Introduction: Portfolio optimization is a widely studied problem in finance. The common question is, how a small investor should invest his wealth in the market to attain certain goals, like a desired payoff or some insurance against unwished events. The starting point for the mathematical treatment of this is the work of Harry Markowitz in the 1950s. His idea was to set up a relation between the mean return of a portfolio and its variance. In his terminology, an efficient portfolio has minimal variance of return among others with the same mean rate of return. Furthermore, if linear combinations of efficient portfolios and a riskless asset are allowed, this leads to the market portfolio, so that a linear combination of the risk-free asset and the market portfolio dominates any other portfolio in the mean-variance sense. Later, this theory was extended resulting in the CAPM, or capital asset pricing model, which was independently introduced by Treynor, Sharpe, Lintner and Mossin in the 1960s. In this model, every risky asset has a mean rate of return that exceeds the risk-free rate by a specific risk premium, which depends on a certain attribute of the asset, namely its _. The so-called _ in turn is the covariance of the asset return normalized by the variance of the market portfolio. The problem of the CAPM is its static nature, investments are made once and then the state of the model changes. Due to this and other simplifications, this model was and is often not found to be realistic. An impact to this research field were the two papers of Robert Merton in 1969 and 1971. He applied the theory of Ito calculus and stochastic optimal control and solved the corresponding Hamilton-Jacobi-Bellman equation. For his multiperiod model, he assumed constant coefficients and an investor with power utility. Extending the mean-variance analysis, he found that a long-term investor would prefer a portfolio that includes hedging components to protect against fluctuations in the market. Again this approach was generalized by numerous researchers and results in the problem of solving a nonlinear partial differential equation. The next milestone in this series is the work by Cox and Huang from 1989, where they solve for Optimal Consumption and Portfolio Policies when Asset Prices Follow a Diffusion Process . They apply the martingale technique to get rid of the nonlinear PDE and rather solve a linear PDE. This, with several refinements, is [...]

Download or read book Theory of Valuation written by Sudipto Bhattacharya and published by World Scientific. This book was released on 2005 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of Theory of Valuation is a collection of important papers in the field of theoretical financial economics published from 1973 to 1986, and original accompanying essays contributed by eminent researchers including Robert C Merton, Edward C Prescott, Stephen A Ross, and Joseph E Stiglitz. Since then, with the perspective of major theoretical strides in the field, the book has more than fulfilled its original expectations. The realization that it remains today a compendium of classic articles and a must-read for any serious student in theoretical financial economics, has prompted the publication of a new edition. This second edition presents a summary statement of significant research in theoretical financial economics for both the specialist and non-specialist financial economist. It also provides material for PhD-level courses covering valuation theory, and elective reading for advanced MasterOCOs and undergraduate courses. In addition to reproducing the original contributions, this edition includes the seminal paper by Edward C Prescott and Rajnish Mehra, OC Recursive Competitive Equilibrium: The Case of Homogeneous Households, OCO originally published in Econometrica in 1980."

Download or read book Machine Learning for Asset Management and Pricing written by Henry Schellhorn and published by SIAM. This book was released on 2024-03-26 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook covers the latest advances in machine learning methods for asset management and asset pricing. Recent research in deep learning applied to finance shows that some of the (usually confidential) techniques used by asset managers result in better investments than the more standard techniques. Cutting-edge material is integrated with mainstream finance theory and statistical methods to provide a coherent narrative. Coverage includes an original machine learning method for strategic asset allocation; the no-arbitrage theory applied to a wide portfolio of assets as well as other asset management methods, such as mean-variance, Bayesian methods, linear factor models, and strategic asset allocation; recent techniques such as neural networks and reinforcement learning, and more classical ones, including nonlinear and linear programming, principal component analysis, dynamic programming, and clustering. The authors use technical and nontechnical arguments to accommodate readers with different levels of mathematical preparation. The book is easy to read yet rigorous and contains a large number of exercises. Machine Learning for Asset Management and Pricing is intended for graduate students and researchers in finance, economics, financial engineering, and data science focusing on asset pricing and management. It will also be of interest to finance professionals and analysts interested in applying machine learning to investment strategies and asset management. This textbook is appropriate for courses on asset management, optimization with applications, portfolio theory, and asset pricing.

Download or read book Portfolio Choice Problems written by Nicolas Chapados and published by Springer Science & Business Media. This book was released on 2011-07-12 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: This brief offers a broad, yet concise, coverage of portfolio choice, containing both application-oriented and academic results, along with abundant pointers to the literature for further study. It cuts through many strands of the subject, presenting not only the classical results from financial economics but also approaches originating from information theory, machine learning and operations research. This compact treatment of the topic will be valuable to students entering the field, as well as practitioners looking for a broad coverage of the topic.

Download or read book Theory Of Valuation 2nd Edition written by Sudipto Bhattacharya and published by World Scientific. This book was released on 2005-07-12 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of Theory of Valuation is a collection of important papers in the field of theoretical financial economics published from 1973 to 1986, and original accompanying essays contributed by eminent researchers including Robert C Merton, Edward C Prescott, Stephen A Ross, and Joseph E Stiglitz.Since then, with the perspective of major theoretical strides in the field, the book has more than fulfilled its original expectations. The realization that it remains today a compendium of classic articles and a must-read for any serious student in theoretical financial economics, has prompted the publication of a new edition.This second edition presents a summary statement of significant research in theoretical financial economics for both the specialist and non-specialist financial economist. It also provides material for PhD-level courses covering valuation theory, and elective reading for advanced Master's and undergraduate courses.In addition to reproducing the original contributions, this edition includes the seminal paper by Edward C Prescott and Rajnish Mehra, “Recursive Competitive Equilibrium: The Case of Homogeneous Households,” originally published in Econometrica in 1980.

Download or read book Mathematical Optimization Theory and Operations Research written by Yury Kochetov and published by Springer Nature. This book was released on 2020-09-13 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes refereed proceedings of the 19th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2020, held in Novosibirsk, Russia, in July 2020. Due to the COVID-19 pandemic the conference was held online. The 25 full papers and 8 short papers presented in this volume were carefully reviewed and selected from a total of 102 submissions. The papers in the volume are organised according to the following topical headings: ​combinatorial optimization; mathematical programming; global optimization; game theory and mathematical economics; heuristics and metaheuristics; machine learning and data analysis.

Download or read book Handbook of Financial Econometrics written by Yacine Ait-Sahalia and published by Elsevier. This book was released on 2009-10-19 with total page 809 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of original articles—8 years in the making—shines a bright light on recent advances in financial econometrics. From a survey of mathematical and statistical tools for understanding nonlinear Markov processes to an exploration of the time-series evolution of the risk-return tradeoff for stock market investment, noted scholars Yacine Aït-Sahalia and Lars Peter Hansen benchmark the current state of knowledge while contributors build a framework for its growth. Whether in the presence of statistical uncertainty or the proven advantages and limitations of value at risk models, readers will discover that they can set few constraints on the value of this long-awaited volume. - Presents a broad survey of current research—from local characterizations of the Markov process dynamics to financial market trading activity - Contributors include Nobel Laureate Robert Engle and leading econometricians - Offers a clarity of method and explanation unavailable in other financial econometrics collections

Download or read book Handbook of Computational Economics written by Karl Schmedders and published by Newnes. This book was released on 2013-12-31 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Computational Economics summarizes recent advances in economic thought, revealing some of the potential offered by modern computational methods. With computational power increasing in hardware and algorithms, many economists are closing the gap between economic practice and the frontiers of computational mathematics. In their efforts to accelerate the incorporation of computational power into mainstream research, contributors to this volume update the improvements in algorithms that have sharpened econometric tools, solution methods for dynamic optimization and equilibrium models, and applications to public finance, macroeconomics, and auctions. They also cover the switch to massive parallelism in the creation of more powerful computers, with advances in the development of high-power and high-throughput computing. Much more can be done to expand the value of computational modeling in economics. In conjunction with volume one (1996) and volume two (2006), this volume offers a remarkable picture of the recent development of economics as a science as well as an exciting preview of its future potential. - Samples different styles and approaches, reflecting the breadth of computational economics as practiced today - Focuses on problems with few well-developed solutions in the literature of other disciplines - Emphasizes the potential for increasing the value of computational modeling in economics

Download or read book Asset Pricing and Portfolio Choice Theory written by Kerry Back and published by Oxford University Press, USA. This book was released on 2010 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the classical results on single-period, discrete-time, and continuous-time models of portfolio choice and asset pricing. It also treats asymmetric information, production models, various proposed explanations for the equity premium puzzle, and topics important for behavioral finance.

Download or read book Asset Pricing written by John H. Cochrane and published by Princeton University Press. This book was released on 2009-04-11 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of the prestigious Paul A. Samuelson Award for scholarly writing on lifelong financial security, John Cochrane's Asset Pricing now appears in a revised edition that unifies and brings the science of asset pricing up to date for advanced students and professionals. Cochrane traces the pricing of all assets back to a single idea--price equals expected discounted payoff--that captures the macro-economic risks underlying each security's value. By using a single, stochastic discount factor rather than a separate set of tricks for each asset class, Cochrane builds a unified account of modern asset pricing. He presents applications to stocks, bonds, and options. Each model--consumption based, CAPM, multifactor, term structure, and option pricing--is derived as a different specification of the discounted factor. The discount factor framework also leads to a state-space geometry for mean-variance frontiers and asset pricing models. It puts payoffs in different states of nature on the axes rather than mean and variance of return, leading to a new and conveniently linear geometrical representation of asset pricing ideas. Cochrane approaches empirical work with the Generalized Method of Moments, which studies sample average prices and discounted payoffs to determine whether price does equal expected discounted payoff. He translates between the discount factor, GMM, and state-space language and the beta, mean-variance, and regression language common in empirical work and earlier theory. The book also includes a review of recent empirical work on return predictability, value and other puzzles in the cross section, and equity premium puzzles and their resolution. Written to be a summary for academics and professionals as well as a textbook, this book condenses and advances recent scholarship in financial economics.

Download or read book Stochastic Analysis Control Optimization and Applications written by William M. McEneaney and published by Springer Science & Business Media. This book was released on 1999 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt: In view of Professor Wendell Fleming's many fundamental contributions, his profound influence on the mathematical and systems theory communi ties, his service to the profession, and his dedication to mathematics, we have invited a number of leading experts in the fields of control, optimiza tion, and stochastic systems to contribute to this volume in his honor on the occasion of his 70th birthday. These papers focus on various aspects of stochastic analysis, control theory and optimization, and applications. They include authoritative expositions and surveys as well as research papers on recent and important issues. The papers are grouped according to the following four major themes: (1) large deviations, risk sensitive and Hoc control, (2) partial differential equations and viscosity solutions, (3) stochastic control, filtering and parameter esti mation, and (4) mathematical finance and other applications. We express our deep gratitude to all of the authors for their invaluable contributions, and to the referees for their careful and timely reviews. We thank Harold Kushner for having graciously agreed to undertake the task of writing the foreword. Particular thanks go to H. Thomas Banks for his help, advice and suggestions during the entire preparation process, as well as for the generous support of the Center for Research in Scientific Computation. The assistance from the Birkhauser professional staff is also greatly appreciated.

Download or read book Intelligent and Other Computational Techniques in Insurance written by A. F. Shapiro and published by World Scientific. This book was released on 2003 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent advances in the theory and implementation of intelligent and other computational techniques in the insurance industry. The paradigms covered encompass artificial neural networks and fuzzy systems, including clustering versions, optimization and resampling methods, algebraic and Bayesian models, decision trees and regression splines. Thus, the focus is not just on intelligent techniques, although these constitute a major component; the book also deals with other current computational paradigms that are likely to impact on the industry. The application areas include asset allocation, asset and liability management, cash-flow analysis, claim costs, classification, fraud detection, insolvency, investments, loss distributions, marketing, pricing and premiums, rate-making, retention, survival analysis, and underwriting.

Download or read book Portfolio Theory and Management written by H. Kent Baker and published by Oxford University Press. This book was released on 2013-01-07 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt: Portfolio management is an ongoing process of constructing portfolios that balances an investor's objectives with the portfolio manager's expectations about the future. This dynamic process provides the payoff for investors. Portfolio management evaluates individual assets or investments by their contribution to the risk and return of an investor's portfolio rather than in isolation. This is called the portfolio perspective. Thus, by constructing a diversified portfolio, a portfolio manager can reduce risk for a given level of expected return, compared to investing in an individual asset or security. According to modern portfolio theory (MPT), investors who do not follow a portfolio perspective bear risk that is not rewarded with greater expected return. Portfolio diversification works best when financial markets are operating normally compared to periods of market turmoil such as the 2007-2008 financial crisis. During periods of turmoil, correlations tend to increase thus reducing the benefits of diversification. Portfolio management today emerges as a dynamic process, which continues to evolve at a rapid pace. The purpose of Portfolio Theory and Management is to take readers from the foundations of portfolio management with the contributions of financial pioneers up to the latest trends emerging within the context of special topics. The book includes discussions of portfolio theory and management both before and after the 2007-2008 financial crisis. This volume provides a critical reflection of what worked and what did not work viewed from the perspective of the recent financial crisis. Further, the book is not restricted to the U.S. market but takes a more global focus by highlighting cross-country differences and practices. This 30-chapter book consists of seven sections. These chapters are: (1) portfolio theory and asset pricing, (2) the investment policy statement and fiduciary duties, (3) asset allocation and portfolio construction, (4) risk management, (V) portfolio execution, monitoring, and rebalancing, (6) evaluating and reporting portfolio performance, and (7) special topics.

Download or read book Handbooks in Operations Research and Management Science Financial Engineering written by John R. Birge and published by Elsevier. This book was released on 2007-11-16 with total page 1026 pages. Available in PDF, EPUB and Kindle. Book excerpt: The remarkable growth of financial markets over the past decades has been accompanied by an equally remarkable explosion in financial engineering, the interdisciplinary field focusing on applications of mathematical and statistical modeling and computational technology to problems in the financial services industry. The goals of financial engineering research are to develop empirically realistic stochastic models describing dynamics of financial risk variables, such as asset prices, foreign exchange rates, and interest rates, and to develop analytical, computational and statistical methods and tools to implement the models and employ them to design and evaluate financial products and processes to manage risk and to meet financial goals. This handbook describes the latest developments in this rapidly evolving field in the areas of modeling and pricing financial derivatives, building models of interest rates and credit risk, pricing and hedging in incomplete markets, risk management, and portfolio optimization. Leading researchers in each of these areas provide their perspective on the state of the art in terms of analysis, computation, and practical relevance. The authors describe essential results to date, fundamental methods and tools, as well as new views of the existing literature, opportunities, and challenges for future research.