Portfolio Optimization With Ambiguous Correlation And Stochastic Volatilities

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Nonlinear Expectations and Stochastic Calculus under Uncertainty

Author : Shige Peng
Publisher : Springer Nature
ISBN 13 : 3662599031
Total Pages : 216 pages
Book Rating : 4.6/5 (625 download)

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Book Synopsis Nonlinear Expectations and Stochastic Calculus under Uncertainty by : Shige Peng

Download or read book Nonlinear Expectations and Stochastic Calculus under Uncertainty written by Shige Peng and published by Springer Nature. This book was released on 2019-09-09 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is focused on the recent developments on problems of probability model uncertainty by using the notion of nonlinear expectations and, in particular, sublinear expectations. It provides a gentle coverage of the theory of nonlinear expectations and related stochastic analysis. Many notions and results, for example, G-normal distribution, G-Brownian motion, G-Martingale representation theorem, and related stochastic calculus are first introduced or obtained by the author. This book is based on Shige Peng’s lecture notes for a series of lectures given at summer schools and universities worldwide. It starts with basic definitions of nonlinear expectations and their relation to coherent measures of risk, law of large numbers and central limit theorems under nonlinear expectations, and develops into stochastic integral and stochastic calculus under G-expectations. It ends with recent research topic on G-Martingale representation theorem and G-stochastic integral for locally integrable processes. With exercises to practice at the end of each chapter, this book can be used as a graduate textbook for students in probability theory and mathematical finance. Each chapter also concludes with a section Notes and Comments, which gives history and further references on the material covered in that chapter. Researchers and graduate students interested in probability theory and mathematical finance will find this book very useful.

Developments in Mean-Variance Efficient Portfolio Selection

Author : M. Agarwal
Publisher : Springer
ISBN 13 : 1137359927
Total Pages : 258 pages
Book Rating : 4.1/5 (373 download)

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Book Synopsis Developments in Mean-Variance Efficient Portfolio Selection by : M. Agarwal

Download or read book Developments in Mean-Variance Efficient Portfolio Selection written by M. Agarwal and published by Springer. This book was released on 2015-12-11 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses new determinants for optimal portfolio selection. It reviews the existing modelling framework and creates mean-variance efficient portfolios from the securities companies on the National Stock Exchange. Comparisons enable researchers to rank them in terms of their effectiveness in the present day Indian securities market.

Portfolios of Real Options

Author : Rainer Brosch
Publisher : Springer Science & Business Media
ISBN 13 : 3540782990
Total Pages : 168 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Portfolios of Real Options by : Rainer Brosch

Download or read book Portfolios of Real Options written by Rainer Brosch and published by Springer Science & Business Media. This book was released on 2008-03-29 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Valuing portfolios of options embedded in investment decisions is arguably one of the most important and challenging problems in real options and corporate ?nance in general. Although the problem is common and vitally important in the value creation process of almost any corporation, it has not yet been satisfactorily addressed. It is key for any corporation facing strategic resource allocation decisions, be it a pharmaceutical ?rm valuing and managing its pipeline of drugs, a telecom company having to select a set of technological alternatives, a venture capital or private equity ?rm investing in a portfolio of ventures, or any company allocating resources. Portfolios of real options typically interact such that the value of the whole differs from the sum of the separate parts. Thus one must address and value the particular con?guration of options embedded in a speci?c situation, taking into account the con?guration of other options already present in the portfolio, which in turn depends on the correlation struc ture among the various underlying assets and the strategic dependencies among the options themselves (e. g. , mutual exclusivity, strategic additiv ity, compoundness, complementarity etc. ). In that sense, optimal decisions also depend on past option exercise decisions by management and organi zational capabilities put in place in the past.

Robust Mechanism Design

Author : Dirk Bergemann
Publisher : World Scientific
ISBN 13 : 981437458X
Total Pages : 471 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Robust Mechanism Design by : Dirk Bergemann

Download or read book Robust Mechanism Design written by Dirk Bergemann and published by World Scientific. This book was released on 2012 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foreword by Eric Maskin (Nobel Laureate in Economics, 2007)This volume brings together the collected contributions on the theme of robust mechanism design and robust implementation that Dirk Bergemann and Stephen Morris have been working on for the past decade. The collection is preceded by a comprehensive introductory essay, specifically written for this volume with the aim of providing the readers with an overview of the research agenda pursued in the collected papers.The introduction selectively presents the main results of the papers, and attempts to illustrate many of them in terms of a common and canonical example, namely a single unit auction with interdependent values. It is our hope that the use of this example facilitates the presentation of the results and that it brings the main insights within the context of an important economic mechanism, namely the generalized second price auction.

Empirical Asset Pricing

Author : Wayne Ferson
Publisher : MIT Press
ISBN 13 : 0262039370
Total Pages : 497 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Empirical Asset Pricing by : Wayne Ferson

Download or read book Empirical Asset Pricing written by Wayne Ferson and published by MIT Press. This book was released on 2019-03-12 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the theory and methods of empirical asset pricing, integrating classical foundations with recent developments. This book offers a comprehensive advanced introduction to asset pricing, the study of models for the prices and returns of various securities. The focus is empirical, emphasizing how the models relate to the data. The book offers a uniquely integrated treatment, combining classical foundations with more recent developments in the literature and relating some of the material to applications in investment management. It covers the theory of empirical asset pricing, the main empirical methods, and a range of applied topics. The book introduces the theory of empirical asset pricing through three main paradigms: mean variance analysis, stochastic discount factors, and beta pricing models. It describes empirical methods, beginning with the generalized method of moments (GMM) and viewing other methods as special cases of GMM; offers a comprehensive review of fund performance evaluation; and presents selected applied topics, including a substantial chapter on predictability in asset markets that covers predicting the level of returns, volatility and higher moments, and predicting cross-sectional differences in returns. Other chapters cover production-based asset pricing, long-run risk models, the Campbell-Shiller approximation, the debate on covariance versus characteristics, and the relation of volatility to the cross-section of stock returns. An extensive reference section captures the current state of the field. The book is intended for use by graduate students in finance and economics; it can also serve as a reference for professionals.

Optimal Portfolios with Stochastic Interest Rates and Defaultable Assets

Author : Holger Kraft
Publisher : Springer Science & Business Media
ISBN 13 : 9783540212300
Total Pages : 190 pages
Book Rating : 4.2/5 (123 download)

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Book Synopsis Optimal Portfolios with Stochastic Interest Rates and Defaultable Assets by : Holger Kraft

Download or read book Optimal Portfolios with Stochastic Interest Rates and Defaultable Assets written by Holger Kraft and published by Springer Science & Business Media. This book was released on 2004-04-13 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: The continuous-time portfolio problem consists of finding the optimal investment strategy of an investor. In the classical Merton problem the investor can allocate his funds to a riskless savings account and risky assets. However, to get explicit results, it is assumed that the interest rates are deterministic and that the assets are default free. In this monograph both assumptions are weakened: The author analyzes and solves portfolio problems with stochastic interest rates and with defaultable assets. Besides, he briefly discusses how portfolio problems with foreign assets can be handled. The focus of the monograph is twofold: On the one hand, the economical problems are carefully explained, on the other hand their formal solution is rigorously presented. For this reason the text should be of interest to researchers with a Finance background as well as to researchers with a more formal background who would like to see how mathematics is applied to portfolio theory. TOC:Preliminaries from Stochastics.- Optimal Portfolios with Stochastic Interest Rates.- Elasticity Approach to Portfolio Optimization.- Barrier Derivatives with Curved Boundaries.- Optimal Portfolios with Dafaultable Assets - A Firm Value Approach.- References.- Abbreviations.- Notations.

Commodity Price Dynamics

Author : Craig Pirrong
Publisher : Cambridge University Press
ISBN 13 : 1139501976
Total Pages : 239 pages
Book Rating : 4.1/5 (395 download)

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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 239 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.

Hedge Funds

Author : Vikas Agarwal
Publisher : Now Publishers Inc
ISBN 13 : 1933019174
Total Pages : 85 pages
Book Rating : 4.9/5 (33 download)

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Book Synopsis Hedge Funds by : Vikas Agarwal

Download or read book Hedge Funds written by Vikas Agarwal and published by Now Publishers Inc. This book was released on 2005 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hedge Funds summarizes the academic research on hedge funds and commodity trading advisors. The hedge fund industry has grown tremendously over the recent years. According to some industry estimates, hedge funds have increased from $39 million in 1990 to about $972 million in 2004 and the total number of hedge funds has gone up from 610 to 7,436 over the same period. At the same time, hedge fund strategies have changed significantly. In 1990 the macro strategy dominated the industry while in 2004 the equity hedge strategy had the largest share of the market. There has also been a shift in the type of investor in hedge funds. In the early 1990's the typical investor was a high net-worth individual investor, today the typical investor is an institutional investor. Thus, the hedge fund market has not only grown tremendously, but the nature of the market has changed. Despite the enormous growth of this industry, there is limited information available on hedge funds. As a result, there is a need for rigorous research from both the investors' and regulators' point of view. Investors need research to better understand their investment and their risk exposure. This research also helps investors recognize the extent of diversification benefits hedge funds offer in combination with investments in traditional asset classes, such as stocks and bonds. Regulators can use this research to identify situations where regulation may be needed to protect investors' interests and to understand the impact hedge funds trading strategies have on the stability of the financial markets. The first part of Hedge Funds summarizes hedge fund performance, including comparisons of risk-return characteristics of hedge funds with those of mutual funds, factors driving hedge fund returns, and persistence in hedge fund performance. The second part reviews research regarding the unique contractual features and characteristics of hedge funds and their influence on the risk-return tradeoffs. The third part reviews the role of hedge funds in a portfolio including the extent of diversification benefits and limitations of standard mean-variance framework for asset allocation. Finally, the authors summarize the research on the biases in hedge fund databases.

Financial Modeling Under Non-Gaussian Distributions

Author : Eric Jondeau
Publisher : Springer Science & Business Media
ISBN 13 : 1846286964
Total Pages : 541 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Financial Modeling Under Non-Gaussian Distributions by : Eric Jondeau

Download or read book Financial Modeling Under Non-Gaussian Distributions written by Eric Jondeau and published by Springer Science & Business Media. This book was released on 2007-04-05 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines non-Gaussian distributions. It addresses the causes and consequences of non-normality and time dependency in both asset returns and option prices. The book is written for non-mathematicians who want to model financial market prices so the emphasis throughout is on practice. There are abundant empirical illustrations of the models and techniques described, many of which could be equally applied to other financial time series.

Stochastic Control Theory

Author : Makiko Nisio
Publisher : Springer
ISBN 13 : 4431551239
Total Pages : 263 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis Stochastic Control Theory by : Makiko Nisio

Download or read book Stochastic Control Theory written by Makiko Nisio and published by Springer. This book was released on 2014-11-27 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a systematic introduction to the optimal stochastic control theory via the dynamic programming principle, which is a powerful tool to analyze control problems. First we consider completely observable control problems with finite horizons. Using a time discretization we construct a nonlinear semigroup related to the dynamic programming principle (DPP), whose generator provides the Hamilton–Jacobi–Bellman (HJB) equation, and we characterize the value function via the nonlinear semigroup, besides the viscosity solution theory. When we control not only the dynamics of a system but also the terminal time of its evolution, control-stopping problems arise. This problem is treated in the same frameworks, via the nonlinear semigroup. Its results are applicable to the American option price problem. Zero-sum two-player time-homogeneous stochastic differential games and viscosity solutions of the Isaacs equations arising from such games are studied via a nonlinear semigroup related to DPP (the min-max principle, to be precise). Using semi-discretization arguments, we construct the nonlinear semigroups whose generators provide lower and upper Isaacs equations. Concerning partially observable control problems, we refer to stochastic parabolic equations driven by colored Wiener noises, in particular, the Zakai equation. The existence and uniqueness of solutions and regularities as well as Itô's formula are stated. A control problem for the Zakai equations has a nonlinear semigroup whose generator provides the HJB equation on a Banach space. The value function turns out to be a unique viscosity solution for the HJB equation under mild conditions. This edition provides a more generalized treatment of the topic than does the earlier book Lectures on Stochastic Control Theory (ISI Lecture Notes 9), where time-homogeneous cases are dealt with. Here, for finite time-horizon control problems, DPP was formulated as a one-parameter nonlinear semigroup, whose generator provides the HJB equation, by using a time-discretization method. The semigroup corresponds to the value function and is characterized as the envelope of Markovian transition semigroups of responses for constant control processes. Besides finite time-horizon controls, the book discusses control-stopping problems in the same frameworks.

Notes On The Theory Of Choice

Author : David Kreps
Publisher : Routledge
ISBN 13 : 0429967160
Total Pages : 228 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Notes On The Theory Of Choice by : David Kreps

Download or read book Notes On The Theory Of Choice written by David Kreps and published by Routledge. This book was released on 2018-05-04 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Professor Kreps presents a first course on the basic models of choice theory that underlie much of economic theory. This course, taught for several years at the Graduate School of Business, Stanford University, gives the student an introduction to the axiomatic method of economic analysis, without placing too heavy a demand on mathematical sophistication.The course begins with the basics of choice and revealed preference theory and then discusses numerical representations of ordinal preference. Models with uncertainty come next: First is von Neumann?Morgenstern utility, and then choice under uncertainty with subjective uncertainty, using the formulation of Anscombe and Aumann, and then sketching the development of Savage's classic theory. Finally, the course delves into a number of special topics, including de Finetti's theorem, modeling choice on a part of a larger problem, dynamic choice, and the empirical evidence against the classic models.

Mathematical Methods for Financial Markets

Author : Monique Jeanblanc
Publisher : Springer Science & Business Media
ISBN 13 : 1846287375
Total Pages : 754 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Mathematical Methods for Financial Markets by : Monique Jeanblanc

Download or read book Mathematical Methods for Financial Markets written by Monique Jeanblanc and published by Springer Science & Business Media. This book was released on 2009-10-03 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical finance has grown into a huge area of research which requires a large number of sophisticated mathematical tools. This book simultaneously introduces the financial methodology and the relevant mathematical tools in a style that is mathematically rigorous and yet accessible to practitioners and mathematicians alike. It interlaces financial concepts such as arbitrage opportunities, admissible strategies, contingent claims, option pricing and default risk with the mathematical theory of Brownian motion, diffusion processes, and Lévy processes. The first half of the book is devoted to continuous path processes whereas the second half deals with discontinuous processes. The extensive bibliography comprises a wealth of important references and the author index enables readers quickly to locate where the reference is cited within the book, making this volume an invaluable tool both for students and for those at the forefront of research and practice.

Practical Methods of Financial Engineering and Risk Management

Author : Rupak Chatterjee
Publisher : Apress
ISBN 13 : 143026134X
Total Pages : 379 pages
Book Rating : 4.4/5 (32 download)

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Book Synopsis Practical Methods of Financial Engineering and Risk Management by : Rupak Chatterjee

Download or read book Practical Methods of Financial Engineering and Risk Management written by Rupak Chatterjee and published by Apress. This book was released on 2014-09-26 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Risk control, capital allocation, and realistic derivative pricing and hedging are critical concerns for major financial institutions and individual traders alike. Events from the collapse of Lehman Brothers to the Greek sovereign debt crisis demonstrate the urgent and abiding need for statistical tools adequate to measure and anticipate the amplitude of potential swings in the financial markets—from ordinary stock price and interest rate moves, to defaults, to those increasingly frequent "rare events" fashionably called black swan events. Yet many on Wall Street continue to rely on standard models based on artificially simplified assumptions that can lead to systematic (and sometimes catastrophic) underestimation of real risks. In Practical Methods of Financial Engineering and Risk Management, Dr. Rupak Chatterjee— former director of the multi-asset quantitative research group at Citi—introduces finance professionals and advanced students to the latest concepts, tools, valuation techniques, and analytic measures being deployed by the more discerning and responsive Wall Street practitioners, on all operational scales from day trading to institutional strategy, to model and analyze more faithfully the real behavior and risk exposure of financial markets in the cold light of the post-2008 realities. Until one masters this modern skill set, one cannot allocate risk capital properly, price and hedge derivative securities realistically, or risk-manage positions from the multiple perspectives of market risk, credit risk, counterparty risk, and systemic risk. The book assumes a working knowledge of calculus, statistics, and Excel, but it teaches techniques from statistical analysis, probability, and stochastic processes sufficient to enable the reader to calibrate probability distributions and create the simulations that are used on Wall Street to valuate various financial instruments correctly, model the risk dimensions of trading strategies, and perform the numerically intensive analysis of risk measures required by various regulatory agencies.

Derivatives in Financial Markets with Stochastic Volatility

Author : Jean-Pierre Fouque
Publisher : Cambridge University Press
ISBN 13 : 9780521791632
Total Pages : 222 pages
Book Rating : 4.7/5 (916 download)

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Book Synopsis Derivatives in Financial Markets with Stochastic Volatility by : Jean-Pierre Fouque

Download or read book Derivatives in Financial Markets with Stochastic Volatility written by Jean-Pierre Fouque and published by Cambridge University Press. This book was released on 2000-07-03 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2000, addresses pricing and hedging derivative securities in uncertain and changing market volatility.

Linear Multiobjective Programming

Author : M. Zeleny
Publisher : Springer Science & Business Media
ISBN 13 : 3642808085
Total Pages : 233 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Linear Multiobjective Programming by : M. Zeleny

Download or read book Linear Multiobjective Programming written by M. Zeleny and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1.1. The origin of the multiobjective problem and a short historical review The continuing search for a discovery of theories, tools and c- cepts applicable to decision-making processes has increased the complexity of problems eligible for analytical treatment. One of the more pertinent criticisms of current decision-making theory and practice is directed against the traditional approximation of multiple goal behavior of men and organizations by single, technically-convenient criterion. Reins- tementof the role of human judgment in more realistic, multiple goal se,ttings has been one of the ma~or recent developments in the literature. Consider the following simplified problem. There is a large number of people to be transported daily between two industrial areas and their adjacent residential areas. Given some budgetary and technological c- straints we would like to determine optimal transportation modes as well as the number of units of each to be scheduled for service. What is the optimal solution? Are we interested in the cheapest transportation? Do we want the fastest, the safest, the cleanest, the most profitable, the most durable? There are many criteria which are to be considered: travel times, consumer's cost, construction cost, operating cost, expected fatalities and injuries, probability of delays, etc.

Robust Optimization

Author : Aharon Ben-Tal
Publisher : Princeton University Press
ISBN 13 : 1400831059
Total Pages : 565 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Robust Optimization by : Aharon Ben-Tal

Download or read book Robust Optimization written by Aharon Ben-Tal and published by Princeton University Press. This book was released on 2009-08-10 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robust optimization is still a relatively new approach to optimization problems affected by uncertainty, but it has already proved so useful in real applications that it is difficult to tackle such problems today without considering this powerful methodology. Written by the principal developers of robust optimization, and describing the main achievements of a decade of research, this is the first book to provide a comprehensive and up-to-date account of the subject. Robust optimization is designed to meet some major challenges associated with uncertainty-affected optimization problems: to operate under lack of full information on the nature of uncertainty; to model the problem in a form that can be solved efficiently; and to provide guarantees about the performance of the solution. The book starts with a relatively simple treatment of uncertain linear programming, proceeding with a deep analysis of the interconnections between the construction of appropriate uncertainty sets and the classical chance constraints (probabilistic) approach. It then develops the robust optimization theory for uncertain conic quadratic and semidefinite optimization problems and dynamic (multistage) problems. The theory is supported by numerous examples and computational illustrations. An essential book for anyone working on optimization and decision making under uncertainty, Robust Optimization also makes an ideal graduate textbook on the subject.

Quantitative Methods for Economics and Finance

Author : J.E. Trinidad-Segovia
Publisher : MDPI
ISBN 13 : 3036501967
Total Pages : 418 pages
Book Rating : 4.0/5 (365 download)

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Book Synopsis Quantitative Methods for Economics and Finance by : J.E. Trinidad-Segovia

Download or read book Quantitative Methods for Economics and Finance written by J.E. Trinidad-Segovia and published by MDPI. This book was released on 2021-02-12 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of papers for the Special Issue “Quantitative Methods for Economics and Finance” of the journal Mathematics. This Special Issue reflects on the latest developments in different fields of economics and finance where mathematics plays a significant role. The book gathers 19 papers on topics such as volatility clusters and volatility dynamic, forecasting, stocks, indexes, cryptocurrencies and commodities, trade agreements, the relationship between volume and price, trading strategies, efficiency, regression, utility models, fraud prediction, or intertemporal choice.