Option Pricing And Portfolio Optimization

Author : Ralf Korn,Elke Korn
Publisher : American Mathematical Soc.
Page : 272 pages
File Size : 40,8 Mb
Release : 2001
Category : Business & Economics
ISBN : 0821821237

Get Book

Option Pricing and Portfolio Optimization by Ralf Korn,Elke Korn Pdf

Understanding and working with the current models of financial markets requires a sound knowledge of the mathematical tools and ideas from which they are built. Banks and financial houses all over the world recognize this and are avidly recruiting mathematicians, physicists, and other scientists with these skills. The mathematics involved in modern finance springs from the heart of probability and analysis: the Itô calculus, stochastic control, differential equations, martingales, and so on. The authors give rigorous treatments of these topics, while always keeping the applications in mind. Thus, the way in which the mathematics is developed is governed by the way it will be used, rather than by the goal of optimal generality. Indeed, most of purely mathematical topics are treated in extended "excursions" from the applications into the theory. Thus, with the main topic of financial modelling and optimization in view, the reader also obtains a self-contained and complete introduction to the underlying mathematics. This book is specifically designed as a graduate textbook. It could be used for the second part of a course in probability theory, as it includes as applied introduction to the basics of stochastic processes (martingales and Brownian motion) and stochastic calculus. It would also be suitable for a course in continuous-time finance that assumes familiarity with stochastic processes. The prerequisites are basic probability theory and calculus. Some background in stochastic processes would be useful, but not essential.

Author : Richard M. Bookstaber
Publisher : McGraw-Hill Companies
Page : 330 pages
File Size : 53,8 Mb
Release : 1991
Category : Business & Economics
ISBN : STANFORD:36105000164744

Get Book

Option Pricing and Investment Strategies by Richard M. Bookstaber Pdf

Author : Stefano M. Iacus
Publisher : John Wiley & Sons
Page : 402 pages
File Size : 46,7 Mb
Release : 2011-02-23
Category : Business & Economics
ISBN : 9781119990208

Get Book

Option Pricing and Estimation of Financial Models with R by Stefano M. Iacus Pdf

Presents inference and simulation of stochastic process in the field of model calibration for financial times series modelled by continuous time processes and numerical option pricing. Introduces the bases of probability theory and goes on to explain how to model financial times series with continuous models, how to calibrate them from discrete data and further covers option pricing with one or more underlying assets based on these models. Analysis and implementation of models goes beyond the standard Black and Scholes framework and includes Markov switching models, Lévy models and other models with jumps (e.g. the telegraph process); Topics other than option pricing include: volatility and covariation estimation, change point analysis, asymptotic expansion and classification of financial time series from a statistical viewpoint. The book features problems with solutions and examples. All the examples and R code are available as an additional R package, therefore all the examples can be reproduced.

Author : W. Brent Lindquist,Svetlozar T. Rachev,Yuan Hu,Abootaleb Shirvani
Publisher : Springer Nature
Page : 268 pages
File Size : 49,5 Mb
Release : 2022-11-09
Category : Business & Economics
ISBN : 9783031152863

Get Book

Advanced REIT Portfolio Optimization by W. Brent Lindquist,Svetlozar T. Rachev,Yuan Hu,Abootaleb Shirvani Pdf

This book provides an investor-friendly presentation of the premises and applications of the quantitative finance models governing investment in one asset class of publicly traded stocks, specifically real estate investment trusts (REITs). The models provide highly advanced analytics for REIT investment, including: portfolio optimization using both historic and predictive return estimation; model backtesting; a complete spectrum of risk assessment and management tools with an emphasis on early warning systems, risk budgeting, estimating tail risk, and factor analysis; derivative valuation; and incorporating ESG ratings into REIT investment. These quantitative finance models are presented in a unified framework consistent with dynamic asset pricing (rational finance). Given its scope and practical orientation, this book will appeal to investors interested in portfolio optimization and innovative tools for investment risk assessment.

Author : Holger Kraft
Publisher : Springer Science & Business Media
Page : 178 pages
File Size : 52,8 Mb
Release : 2012-08-27
Category : Business & Economics
ISBN : 9783642170416

Get Book

Optimal Portfolios with Stochastic Interest Rates and Defaultable Assets by Holger Kraft Pdf

This thesis summarizes most of my recent research in the field of portfolio optimization. The main topics which I have addressed are portfolio problems with stochastic interest rates and portfolio problems with defaultable assets. The starting point for my research was the paper "A stochastic control ap proach to portfolio problems with stochastic interest rates" (jointly with Ralf Korn), in which we solved portfolio problems given a Vasicek term structure of the short rate. Having considered the Vasicek model, it was obvious that I should analyze portfolio problems where the interest rate dynamics are gov erned by other common short rate models. The relevant results are presented in Chapter 2. The second main issue concerns portfolio problems with default able assets modeled in a firm value framework. Since the assets of a firm then correspond to contingent claims on firm value, I searched for a way to easily deal with such claims in portfolio problems. For this reason, I developed the elasticity approach to portfolio optimization which is presented in Chapter 3. However, this way of tackling portfolio problems is not restricted to portfolio problems with default able assets only, but it provides a general framework allowing for a compact formulation of portfolio problems even if interest rates are stochastic.

Author : Robert A. Jarrow,Andrew Rudd
Publisher : McGraw-Hill/Irwin
Page : 268 pages
File Size : 44,9 Mb
Release : 1983
Category : Business & Economics
ISBN : STANFORD:36105001949838

Get Book

Option Pricing by Robert A. Jarrow,Andrew Rudd Pdf

Author : Erol Hakanoglu,Jamil Baz,Helen Guo
Publisher : McGraw-Hill Education
Page : 320 pages
File Size : 44,9 Mb
Release : 2022-04-05
Category : Business & Economics
ISBN : 1264270151

Get Book

Portfolio Selection and Asset Pricing: Models of Financial Economics and Their Applications in Investing by Erol Hakanoglu,Jamil Baz,Helen Guo Pdf

Top experts from PIMCO deliver a uniquely comprehensive guide for sophisticated investors and advanced graduate students—covering everything from financial mathematics to the practical realities of asset allocation and pricing Investors like you typically have a choice to make when seeking guidance for portfolio selection—either a book of practical, hands-on approaches to their craft or an academic tome of theories and mathematical formulas. Portfolio Selection and Asset Pricing strikes the right balance with an extensive discussion of mathematical foundations of portfolio choice and asset pricing models, and the practice of asset allocation. This guide is conveniently organized into four sections: Mathematical Foundations—normed vector spaces, optimization in discrete and continuous time, utility theory, and uncertainty Portfolio Models—single-period and continuous-time portfolio choice, analogies, asset allocation for a sovereign as an example, and liability-driven allocation Asset Pricing—capital asset pricing models, factor models, option pricing, and expected returns Robust Asset Allocation—estimation of optimization inputs, such as the Black-Litterman Model, shrinkage, and robust optimizers From a top-notch team with impeccable credentials, Portfolio Selection and Asset Pricing provides everything you need to generate long-term profits for your clients while reducing risk.

Author : Pierre L' Ecuyer,Art B. Owen
Publisher : Springer Science & Business Media
Page : 669 pages
File Size : 51,6 Mb
Release : 2010-01-14
Category : Mathematics
ISBN : 9783642041075

Get Book

Monte Carlo and Quasi-Monte Carlo Methods 2008 by Pierre L' Ecuyer,Art B. Owen Pdf

This book represents the refereed proceedings of the Eighth International Conference on Monte Carlo (MC)and Quasi-Monte Carlo (QMC) Methods in Scientific Computing, held in Montreal (Canada) in July 2008. It covers the latest theoretical developments as well as important applications of these methods in different areas. It contains two tutorials, eight invited articles, and 32 carefully selected articles based on the 135 contributed presentations made at the conference. This conference is a major event in Monte Carlo methods and is the premiere event for quasi-Monte Carlo and its combination with Monte Carlo. This series of proceedings volumes is the primary outlet for quasi-Monte Carlo research.

Author : Svenja Hager
Publisher : Springer Science & Business Media
Page : 176 pages
File Size : 47,8 Mb
Release : 2008-09-08
Category : Business & Economics
ISBN : 9783834997029

Get Book

Pricing Portfolio Credit Derivatives by Means of Evolutionary Algorithms by Svenja Hager Pdf

Svenja Hager aims at pricing non-standard illiquid portfolio credit derivatives which are related to standard CDO tranches with the same underlying portfolio of obligors. Instead of assuming a homogeneous dependence structure between the default times of different obligors, as it is assumed in the standard market model, the author focuses on the use of heterogeneous correlation structures.

Author : Paolo Brandimarte
Publisher : John Wiley & Sons
Page : 501 pages
File Size : 52,9 Mb
Release : 2013-06-06
Category : Mathematics
ISBN : 9781118625576

Get Book

Numerical Methods in Finance and Economics by Paolo Brandimarte Pdf

A state-of-the-art introduction to the powerful mathematical and statistical tools used in the field of finance The use of mathematical models and numerical techniques is a practice employed by a growing number of applied mathematicians working on applications in finance. Reflecting this development, Numerical Methods in Finance and Economics: A MATLAB?-Based Introduction, Second Edition bridges the gap between financial theory and computational practice while showing readers how to utilize MATLAB?--the powerful numerical computing environment--for financial applications. The author provides an essential foundation in finance and numerical analysis in addition to background material for students from both engineering and economics perspectives. A wide range of topics is covered, including standard numerical analysis methods, Monte Carlo methods to simulate systems affected by significant uncertainty, and optimization methods to find an optimal set of decisions. Among this book's most outstanding features is the integration of MATLAB?, which helps students and practitioners solve relevant problems in finance, such as portfolio management and derivatives pricing. This tutorial is useful in connecting theory with practice in the application of classical numerical methods and advanced methods, while illustrating underlying algorithmic concepts in concrete terms. Newly featured in the Second Edition: * In-depth treatment of Monte Carlo methods with due attention paid to variance reduction strategies * New appendix on AMPL in order to better illustrate the optimization models in Chapters 11 and 12 * New chapter on binomial and trinomial lattices * Additional treatment of partial differential equations with two space dimensions * Expanded treatment within the chapter on financial theory to provide a more thorough background for engineers not familiar with finance * New coverage of advanced optimization methods and applications later in the text Numerical Methods in Finance and Economics: A MATLAB?-Based Introduction, Second Edition presents basic treatments and more specialized literature, and it also uses algebraic languages, such as AMPL, to connect the pencil-and-paper statement of an optimization model with its solution by a software library. Offering computational practice in both financial engineering and economics fields, this book equips practitioners with the necessary techniques to measure and manage risk.

Author : Olivier Le Courtois,Christian Walter
Publisher : World Scientific
Page : 372 pages
File Size : 45,8 Mb
Release : 2014-01-21
Category : Mathematics
ISBN : 9781783263103

Get Book

Extreme Financial Risks and Asset Allocation by Olivier Le Courtois,Christian Walter Pdf

Each financial crisis calls for — by its novelty and the mechanisms it shares with preceding crises — appropriate means to analyze financial risks. In Extreme Financial Risks and Asset Allocation, the authors present in an accessible and timely manner the concepts, methods, and techniques that are essential for an understanding of these risks in an environment where asset prices are subject to sudden, rough, and unpredictable changes. These phenomena, mathematically known as “jumps”, play an important role in practice. Their quantitative treatment is generally tricky and is sparsely tackled in similar books. One of the main appeals of this book lies in its approachable and concise presentation of the ad hoc mathematical tools without sacrificing the necessary rigor and precision. This book contains theories and methods which are usually found in highly technical mathematics books or in scattered, often very recent, research articles. It is a remarkable pedagogical work that makes these difficult results accessible to a large readership. Researchers, Masters and PhD students, and financial engineers alike will find this book highly useful. Contents:IntroductionMarket FrameworkStatistical Description of MarketsLévy ProcessesStable Distributions and ProcessesLaplace Distributions and ProcessesThe Time Change FrameworkTail DistributionsRisk BudgetsThe Psychology of RiskMonoperiodic Portfolio ChoiceDynamic Portfolio ChoiceConclusion Readership: Researchers, graduate students and financial engineers in the field of mathematical and quantitative finance. Key Features:This book offers an excellent synthesis of the academic literature in a clear, ordered, and intuitive wayThe continuous-time theory of the choice of portfolio is exposed with particular care when asset dynamics are modeled with processes admitting a jump component. This is a technically difficult topic that is tackled here with a lot of clarityThe collated works in this book facilitates access to the most recent techniques, making it user-friendly for readersKeywords:Lévy Process;Extreme Risks;Risk Management;Portfolio Management;Asset AllocationReviews: “A pedagogical work of updated financial models using Lévy processes. Very well written, very well explained and argued with examples and appropriate simulations. Recommended to academics, researchers and PhD students, slightly less to practitioners.” Zentralblatt MATH

Author : Matthew F. Dixon,Igor Halperin,Paul Bilokon
Publisher : Springer Nature
Page : 565 pages
File Size : 48,8 Mb
Release : 2020-07-01
Category : Business & Economics
ISBN : 9783030410681

Get Book

Machine Learning in Finance by Matthew F. Dixon,Igor Halperin,Paul Bilokon Pdf

This book introduces machine learning methods in finance. It presents a unified treatment of machine learning and various statistical and computational disciplines in quantitative finance, such as financial econometrics and discrete time stochastic control, with an emphasis on how theory and hypothesis tests inform the choice of algorithm for financial data modeling and decision making. With the trend towards increasing computational resources and larger datasets, machine learning has grown into an important skillset for the finance industry. This book is written for advanced graduate students and academics in financial econometrics, mathematical finance and applied statistics, in addition to quants and data scientists in the field of quantitative finance. Machine Learning in Finance: From Theory to Practice is divided into three parts, each part covering theory and applications. The first presents supervised learning for cross-sectional data from both a Bayesian and frequentist perspective. The more advanced material places a firm emphasis on neural networks, including deep learning, as well as Gaussian processes, with examples in investment management and derivative modeling. The second part presents supervised learning for time series data, arguably the most common data type used in finance with examples in trading, stochastic volatility and fixed income modeling. Finally, the third part presents reinforcement learning and its applications in trading, investment and wealth management. Python code examples are provided to support the readers' understanding of the methodologies and applications. The book also includes more than 80 mathematical and programming exercises, with worked solutions available to instructors. As a bridge to research in this emergent field, the final chapter presents the frontiers of machine learning in finance from a researcher's perspective, highlighting how many well-known concepts in statistical physics are likely to emerge as important methodologies for machine learning in finance.

Author : Pierre Henry-Labordere
Publisher : CRC Press
Page : 403 pages
File Size : 41,6 Mb
Release : 2008-09-22
Category : Business & Economics
ISBN : 9781420087000

Get Book

Analysis, Geometry, and Modeling in Finance by Pierre Henry-Labordere Pdf

Analysis, Geometry, and Modeling in Finance: Advanced Methods in Option Pricing is the first book that applies advanced analytical and geometrical methods used in physics and mathematics to the financial field. It even obtains new results when only approximate and partial solutions were previously available.Through the problem of option pricing, th

Author : Rainer Brosch
Publisher : Springer Science & Business Media
Page : 168 pages
File Size : 49,7 Mb
Release : 2008-03-29
Category : Business & Economics
ISBN : 9783540782995

Get Book

Portfolios of Real Options by Rainer Brosch Pdf

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.

Author : Frank J. Fabozzi,Petter N. Kolm,Dessislava A. Pachamanova,Sergio M. Focardi
Publisher : John Wiley & Sons
Page : 513 pages
File Size : 45,8 Mb
Release : 2007-04-27
Category : Business & Economics
ISBN : 9780470164891

Get Book

Robust Portfolio Optimization and Management by Frank J. Fabozzi,Petter N. Kolm,Dessislava A. Pachamanova,Sergio M. Focardi Pdf

Praise for Robust Portfolio Optimization and Management "In the half century since Harry Markowitz introduced his elegant theory for selecting portfolios, investors and scholars have extended and refined its application to a wide range of real-world problems, culminating in the contents of this masterful book. Fabozzi, Kolm, Pachamanova, and Focardi deserve high praise for producing a technically rigorous yet remarkably accessible guide to the latest advances in portfolio construction." --Mark Kritzman, President and CEO, Windham Capital Management, LLC "The topic of robust optimization (RO) has become 'hot' over the past several years, especially in real-world financial applications. This interest has been sparked, in part, by practitioners who implemented classical portfolio models for asset allocation without considering estimation and model robustness a part of their overall allocation methodology, and experienced poor performance. Anyone interested in these developments ought to own a copy of this book. The authors cover the recent developments of the RO area in an intuitive, easy-to-read manner, provide numerous examples, and discuss practical considerations. I highly recommend this book to finance professionals and students alike." --John M. Mulvey, Professor of Operations Research and Financial Engineering, Princeton University