A Benchmark Approach To Quantitative Finance

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A Benchmark Approach To Quantitative Finance

Author : Eckhard Platen
ISBN : 9783540478560
Genre : Business & Economics
File Size : 78.30 MB
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A framework for financial market modeling, the benchmark approach extends beyond standard risk neutral pricing theory. It permits a unified treatment of portfolio optimization, derivative pricing, integrated risk management and insurance risk modeling. This book presents the necessary mathematical tools, followed by a thorough introduction to financial modeling under the benchmark approach, explaining various quantitative methods for the fair pricing and hedging of derivatives.
Category: Business & Economics

Risk Measures And Attitudes

Author : Francesca Biagini
ISBN : 9781447149262
Genre : Business & Economics
File Size : 59.86 MB
Format : PDF, ePub, Mobi
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Risk has been described in the past by a simple measure, such as the variance, and risk attitude is often considered simply a degree of risk aversion. However, this viewpoint is usually not sufficient. Risk Measures and Attitudes collects contributions which illustrate how modern approaches to both risk measures and risk attitudes are inevitably intertwined. The settings under which this is discussed include portfolio choice, mitigating credit risk and comparing risky alternatives. This book will be a useful study aid for students and researchers of actuarial science or risk management as well as practitioners.
Category: Business & Economics

Contemporary Quantitative Finance

Author : Carl Chiarella
ISBN : 9783642034787
Genre : Mathematics
File Size : 74.4 MB
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This volume contains a collection of papers dedicated to Professor Eckhard Platen to celebrate his 60th birthday, which occurred in 2009. The contributions have been written by a number of his colleagues and co-authors. All papers have been - viewed and presented as keynote talks at the international conference “Quantitative Methods in Finance” (QMF) in Sydney in December 2009. The QMF Conference Series was initiated by Eckhard Platen in 1993 when he was at the Australian - tional University (ANU) in Canberra. Since joining UTS in 1997 the conference came to be organised on a much larger scale and has grown to become a signi?cant international event in quantitative ?nance. Professor Platen has held the Chair of Quantitative Finance at the University of Technology, Sydney (UTS) jointly in the Faculties of Business and Science since 1997. Prior to this appointment, he was the Founding Head of the Centre for Fin- cial Mathematics at the Institute of Advanced Studies at ANU, a position to which he was appointed in 1994. Eckhard completed a PhD in Mathematics at the Technical University in Dresden in 1975 and in 1985 obtained his Doctor of Science degree (Habilitation degree in the German system) from the Academy of Sciences in Berlin where he headed the Stochastics group at the Weierstrass Institute.
Category: Mathematics

Advanced Modelling In Mathematical Finance

Author : Jan Kallsen
ISBN : 9783319458755
Genre : Mathematics
File Size : 55.11 MB
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This Festschrift resulted from a workshop on “Advanced Modelling in Mathematical Finance” held in honour of Ernst Eberlein’s 70th birthday, from 20 to 22 May 2015 in Kiel, Germany. It includes contributions by several invited speakers at the workshop, including several of Ernst Eberlein’s long-standing collaborators and former students. Advanced mathematical techniques play an ever-increasing role in modern quantitative finance. Written by leading experts from academia and financial practice, this book offers state-of-the-art papers on the application of jump processes in mathematical finance, on term-structure modelling, and on statistical aspects of financial modelling. It is aimed at graduate students and researchers interested in mathematical finance, as well as practitioners wishing to learn about the latest developments.
Category: Mathematics

Option Prices As Probabilities

Author : Christophe Profeta
ISBN : 3642103952
Genre : Mathematics
File Size : 39.97 MB
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Discovered in the seventies, Black-Scholes formula continues to play a central role in Mathematical Finance. We recall this formula. Let (B ,t? 0; F ,t? 0, P) - t t note a standard Brownian motion with B = 0, (F ,t? 0) being its natural ?ltra- 0 t t tion. Let E := exp B? ,t? 0 denote the exponential martingale associated t t 2 to (B ,t? 0). This martingale, also called geometric Brownian motion, is a model t to describe the evolution of prices of a risky asset. Let, for every K? 0: + ? (t) :=E (K?E ) (0.1) K t and + C (t) :=E (E?K) (0.2) K t denote respectively the price of a European put, resp. of a European call, associated with this martingale. Let N be the cumulative distribution function of a reduced Gaussian variable: x 2 y 1 ? 2 ? N (x) := e dy. (0.3) 2? ?? The celebrated Black-Scholes formula gives an explicit expression of? (t) and K C (t) in terms ofN : K ? ? log(K) t log(K) t ? (t)= KN ? + ?N ? ? (0.4) K t 2 t 2 and ? ?
Category: Mathematics

Option Pricing And Estimation Of Financial Models With R

Author : Stefano M. Iacus
ISBN : 1119990203
Genre : Business & Economics
File Size : 38.29 MB
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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.
Category: Business & Economics

Numerical Solution Of Stochastic Differential Equations With Jumps In Finance

Author : Eckhard Platen
ISBN : 9783642136948
Genre : Mathematics
File Size : 52.45 MB
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In financial and actuarial modeling and other areas of application, stochastic differential equations with jumps have been employed to describe the dynamics of various state variables. The numerical solution of such equations is more complex than that of those only driven by Wiener processes, described in Kloeden & Platen: Numerical Solution of Stochastic Differential Equations (1992). The present monograph builds on the above-mentioned work and provides an introduction to stochastic differential equations with jumps, in both theory and application, emphasizing the numerical methods needed to solve such equations. It presents many new results on higher-order methods for scenario and Monte Carlo simulation, including implicit, predictor corrector, extrapolation, Markov chain and variance reduction methods, stressing the importance of their numerical stability. Furthermore, it includes chapters on exact simulation, estimation and filtering. Besides serving as a basic text on quantitative methods, it offers ready access to a large number of potential research problems in an area that is widely applicable and rapidly expanding. Finance is chosen as the area of application because much of the recent research on stochastic numerical methods has been driven by challenges in quantitative finance. Moreover, the volume introduces readers to the modern benchmark approach that provides a general framework for modeling in finance and insurance beyond the standard risk-neutral approach. It requires undergraduate background in mathematical or quantitative methods, is accessible to a broad readership, including those who are only seeking numerical recipes, and includes exercises that help the reader develop a deeper understanding of the underlying mathematics.
Category: Mathematics

Applied Quantitative Finance

Author : Wolfgang Karl Härdle
ISBN : 9783540691792
Genre : Mathematics
File Size : 31.84 MB
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Recent years have witnessed a growing importance of quantitative methods in both financial research and industry. This development requires the use of advanced techniques on a theoretical and applied level, especially when it comes to the quantification of risk and the valuation of modern financial products. Applied Quantitative Finance (2nd edition) provides a comprehensive and state-of-the-art treatment of cutting-edge topics and methods. It provides solutions to and presents theoretical developments in many practical problems such as risk management, pricing of credit derivatives, quantification of volatility and copula modelling. The synthesis of theory and practice supported by computational tools is reflected in the selection of topics as well as in a finely tuned balance of scientific contributions on practical implementation and theoretical concepts. This linkage between theory and practice offers theoreticians insights into considerations of applicability and, vice versa, provides practitioners comfortable access to new techniques in quantitative finance. Themes that are dominant in current research and which are presented in this book include among others the valuation of Collaterized Debt Obligations (CDOs), the high-frequency analysis of market liquidity, the pricing of Bermuda options and realized volatility. All Quantlets for the calculation of the given examples are downloadable from the Springer web pages.
Category: Mathematics

Mastering R For Quantitative Finance

Author : Edina Berlinger
ISBN : 9781783552085
Genre : Computers
File Size : 50.50 MB
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This book is intended for those who want to learn how to use R's capabilities to build models in quantitative finance at a more advanced level. If you wish to perfectly take up the rhythm of the chapters, you need to be at an intermediate level in quantitative finance and you also need to have a reasonable knowledge of R.
Category: Computers

Kredit Und Kapital

Author : Werner Ehrlicher
ISBN : STANFORD:36105123842317
Genre : Capital
File Size : 20.59 MB
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Category: Capital

Advances In Mathematics Of Finance

Author : Łukasz Stettner
ISBN : UOM:39015075672249
Genre : Finance
File Size : 72.3 MB
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"This volume contains 15 papers contributed by the participands of the 2nd General AMaMeF conference and Banach Center converence 'Advances in mathematics of finance' organized in Bȩdlewo, Poland from 30th April till 5th May, 2007. AMaMeF (Advances Mathematical Methods of Finance) is a scientific programme of the European Science Foundation for 2005-2010"--Preface (p. 5).
Category: Finance

Quantitative Analysis In Financial Markets

Author : Marco Avellaneda
ISBN : 9810246935
Genre : Mathematics
File Size : 41.51 MB
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Contains lectures presented at the Courant Institute's Mathematical Finance Seminar.
Category: Mathematics

Implementing Models In Quantitative Finance Methods And Cases

Author : Gianluca Fusai
ISBN : 3540499598
Genre : Business & Economics
File Size : 88.87 MB
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This book puts numerical methods in action for the purpose of solving practical problems in quantitative finance. The first part develops a toolkit in numerical methods for finance. The second part proposes twenty self-contained cases covering model simulation, asset pricing and hedging, risk management, statistical estimation and model calibration. Each case develops a detailed solution to a concrete problem arising in applied financial management and guides the user towards a computer implementation. The appendices contain "crash courses" in VBA and Matlab programming languages.
Category: Business & Economics

Personal Benchmark

Author : Charles Widger
ISBN : 9781118963333
Genre : Business & Economics
File Size : 49.91 MB
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In Personal Benchmark: Integrating Behavioral Finance and Investment Management, Chuck Widger and Dr. Daniel Crosby outline the ways in which a program of embedded behavioral finance, fueled by what matters most to you, can be your protection against irrational financial behavior. Along the way, you'll learn how to improve your investment experience, increase returns formerly sacrificed to misbehavior, and worry less about "The Economy" as you become increasingly focused on "My Economy." Welcome to a new way of investing, a new paradigm for conceptualizing wealth, and a system of turning emotion from your portfolio's worst enemy into its best friend! In this new model, risk is simply the likelihood that we will underperform our dreams. Irrationality is acting in ways that thwart our ability to reach those dreams. And the optimal portfolio is not the one that generates the highest return in abstraction, it is the one that helps us meet our goals without killing our nerves before we get there. This book gives advisors the tools needed to effectively communicate the design and execution of the Personal Benchmark solution.
Category: Business & Economics

Operations Research Models In Quantitative Finance

Author : Euro Working Group for Financial Modeling. Meeting
ISBN : CORNELL:31924074387246
Genre : Business & Economics
File Size : 63.45 MB
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The articles included in the volume cover a range of diverse topics linked by a common theme: the use of formal modelling techniques to promote better understanding of financial markets and improve management of financial operations. Apart from a theoretical discussion, most of the papers model validation or verification using market data. This collection of articles sets the framework for other studies that could link theory and practice.
Category: Business & Economics

Paul Wilmott Introduces Quantitative Finance

Author : Paul Wilmott
ISBN : 0471498629
Genre : Business & Economics
File Size : 69.22 MB
Format : PDF
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In this updated student edition, Paul Wilmott updates and extends his earlier classic, Derivatives: The Theory and Practice of Financial Engineering. Included on CD are numerous Bloomberg screen dumps to illustrate, in real terms, the points raised in the book, along with essential Visual basic code, spreadsheet explanations of the models, and the reproduction of term sheets and option classification tables. The author presents all the current financial theories in a manner designed to make them easy to understand and implement. Note: CD-ROM/DVD and other supplementary materials are not included as part of eBook file.
Category: Business & Economics

Active Portfolio Management A Quantitative Approach For Producing Superior Returns And Selecting Superior Returns And Controlling Risk

Author : Richard C. Grinold
ISBN : 9780071376952
Genre : Business & Economics
File Size : 42.62 MB
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"This new edition of Active Portfolio Management continues the standard of excellence established in the first edition, with new and clear insights to help investment professionals." -William E. Jacques, Partner and Chief Investment Officer, Martingale Asset Management. "Active Portfolio Management offers investors an opportunity to better understand the balance between manager skill and portfolio risk. Both fundamental and quantitative investment managers will benefit from studying this updated edition by Grinold and Kahn." -Scott Stewart, Portfolio Manager, Fidelity Select Equity ® Discipline Co-Manager, Fidelity Freedom ® Funds. "This Second edition will not remain on the shelf, but will be continually referenced by both novice and expert. There is a substantial expansion in both depth and breadth on the original. It clearly and concisely explains all aspects of the foundations and the latest thinking in active portfolio management." -Eric N. Remole, Managing Director, Head of Global Structured Equity, Credit Suisse Asset Management. Mathematically rigorous and meticulously organized, Active Portfolio Management broke new ground when it first became available to investment managers in 1994. By outlining an innovative process to uncover raw signals of asset returns, develop them into refined forecasts, then use those forecasts to construct portfolios of exceptional return and minimal risk, i.e., portfolios that consistently beat the market, this hallmark book helped thousands of investment managers. Active Portfolio Management, Second Edition, now sets the bar even higher. Like its predecessor, this volume details how to apply economics, econometrics, and operations research to solving practical investment problems, and uncovering superior profit opportunities. It outlines an active management framework that begins with a benchmark portfolio, then defines exceptional returns as they relate to that benchmark. Beyond the comprehensive treatment of the active management process covered previously, this new edition expands to cover asset allocation, long/short investing, information horizons, and other topics relevant today. It revisits a number of discussions from the first edition, shedding new light on some of today's most pressing issues, including risk, dispersion, market impact, and performance analysis, while providing empirical evidence where appropriate. The result is an updated, comprehensive set of strategic concepts and rules of thumb for guiding the process of-and increasing the profits from-active investment management.
Category: Business & Economics

Mathematical And Statistical Methods For Actuarial Sciences And Finance

Author : Marco Corazza
ISBN : 9783319898247
Genre : Business & Economics
File Size : 35.60 MB
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The interaction between mathematicians, statisticians and econometricians working in actuarial sciences and finance is producing numerous meaningful scientific results. This volume introduces new ideas, in the form of four-page papers, presented at the international conference Mathematical and Statistical Methods for Actuarial Sciences and Finance (MAF), held at Universidad Carlos III de Madrid (Spain), 4th-6th April 2018. The book covers a wide variety of subjects in actuarial science and financial fields, all discussed in the context of the cooperation between the three quantitative approaches. The topics include: actuarial models; analysis of high frequency financial data; behavioural finance; carbon and green finance; credit risk methods and models; dynamic optimization in finance; financial econometrics; forecasting of dynamical actuarial and financial phenomena; fund performance evaluation; insurance portfolio risk analysis; interest rate models; longevity risk; machine learning and soft-computing in finance; management in insurance business; models and methods for financial time series analysis, models for financial derivatives; multivariate techniques for financial markets analysis; optimization in insurance; pricing; probability in actuarial sciences, insurance and finance; real world finance; risk management; solvency analysis; sovereign risk; static and dynamic portfolio selection and management; trading systems. This book is a valuable resource for academics, PhD students, practitioners, professionals and researchers, and is also of interest to other readers with quantitative background knowledge.
Category: Business & Economics

Statistical Tools For Finance And Insurance

Author : Pavel Cizek
ISBN : 3642180620
Genre : Business & Economics
File Size : 48.29 MB
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Statistical Tools for Finance and Insurance presents ready-to-use solutions, theoretical developments and method construction for many practical problems in quantitative finance and insurance. Written by practitioners and leading academics in the field, this book offers a unique combination of topics from which every market analyst and risk manager will benefit. Features of the significantly enlarged and revised second edition: Offers insight into new methods and the applicability of the stochastic technology Provides the tools, instruments and (online) algorithms for recent techniques in quantitative finance and modern treatments in insurance calculations Covers topics such as - expected shortfall for heavy tailed and mixture distributions* - pricing of variance swaps* - volatility smile calibration in FX markets - pricing of catastrophe bonds and temperature derivatives* - building loss models and ruin probability approximation - insurance pricing with GLM* - equity linked retirement plans*(new topics in the second edition marked with*) Presents extensive examples
Category: Business & Economics