Advanced Quantitative Finance With C

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Advanced Quantitative Finance with C++

Author : Alonso Peña
Publisher : CreateSpace
ISBN 13 : 9781508461401
Total Pages : 124 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Advanced Quantitative Finance with C++ by : Alonso Peña

Download or read book Advanced Quantitative Finance with C++ written by Alonso Peña and published by CreateSpace. This book was released on 2015-02-13 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: Create and implement mathematical models in C++ using quantitative finance Overview Describes the key mathematical models used for price equity, currency, interest rates, and credit derivatives The complex models are explained step-by-step along with a flow chart of every implementation Illustrates each asset class with fully solved C++ examples, both basic and advanced, that support and complement the text In Detail This book will introduce you to the key mathematical models used to price financial derivatives, as well as the implementation of main numerical models used to solve them. In particular, equity, currency, interest rates, and credit derivatives are discussed. In the first part of the book, the main mathematical models used in the world of financial derivatives are discussed. Next, the numerical methods used to solve the mathematical models are presented. Finally, both the mathematical models and the numerical methods are used to solve some concrete problems in equity, forex, interest rate, and credit derivatives. The models used include the Black-Scholes and Garman-Kohlhagen models, the LIBOR market model, structural and intensity credit models. The numerical methods described are Monte Carlo simulation (for single and multiple assets), Binomial Trees, and Finite Difference Methods. You will find implementation of concrete problems including European Call, Equity Basket, Currency European Call, FX Barrier Option, Interest Rate Swap, Bankruptcy, and Credit Default Swap in C++. What you will learn from this book Solve complex pricing problems in financial derivatives using a structured approach with the Bento Box template Explore some key numerical methods including binomial trees, finite differences, and Monte Carlo simulation Develop your understanding of equity, forex, interest rate, and credit derivatives through concrete examples Implement simple and complex derivative instruments in C++ Discover the most important mathematical models used in quantitative finance today to price derivative instruments Effectively Incorporate object oriented programming (OOP) principles into the code Approach The book takes the reader through a fast but structured crash-course in quantitative finance, from theory to practice.

C++ for Financial Mathematics

Author : John Armstrong
Publisher : CRC Press
ISBN 13 : 1498750060
Total Pages : 411 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis C++ for Financial Mathematics by : John Armstrong

Download or read book C++ for Financial Mathematics written by John Armstrong and published by CRC Press. This book was released on 2017-01-06 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: If you know a little bit about financial mathematics but don’t yet know a lot about programming, then C++ for Financial Mathematics is for you. C++ is an essential skill for many jobs in quantitative finance, but learning it can be a daunting prospect. This book gathers together everything you need to know to price derivatives in C++ without unnecessary complexities or technicalities. It leads the reader step-by-step from programming novice to writing a sophisticated and flexible financial mathematics library. At every step, each new idea is motivated and illustrated with concrete financial examples. As employers understand, there is more to programming than knowing a computer language. As well as covering the core language features of C++, this book teaches the skills needed to write truly high quality software. These include topics such as unit tests, debugging, design patterns and data structures. The book teaches everything you need to know to solve realistic financial problems in C++. It can be used for self-study or as a textbook for an advanced undergraduate or master’s level course.

Introduction to C++ for Financial Engineers

Author : Daniel J. Duffy
Publisher : John Wiley & Sons
ISBN 13 : 1118856465
Total Pages : 405 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis Introduction to C++ for Financial Engineers by : Daniel J. Duffy

Download or read book Introduction to C++ for Financial Engineers written by Daniel J. Duffy and published by John Wiley & Sons. This book was released on 2013-10-24 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to the C++ programming language and how to use it to write applications in quantitative finance (QF) and related areas. No previous knowledge of C or C++ is required -- experience with VBA, Matlab or other programming language is sufficient. The book adopts an incremental approach; starting from basic principles then moving on to advanced complex techniques and then to real-life applications in financial engineering. There are five major parts in the book: C++ fundamentals and object-oriented thinking in QF Advanced object-oriented features such as inheritance and polymorphism Template programming and the Standard Template Library (STL) An introduction to GOF design patterns and their applications in QF Applications The kinds of applications include binomial and trinomial methods, Monte Carlo simulation, advanced trees, partial differential equations and finite difference methods. This book includes a companion website with all source code and many useful C++ classes that you can use in your own applications. Examples, test cases and applications are directly relevant to QF. This book is the perfect companion to Daniel J. Duffy’s book Financial Instrument Pricing using C++ (Wiley 2004, 0470855096 / 9780470021620)

Introduction to Quantitative Finance

Author : Robert R. Reitano
Publisher : MIT Press
ISBN 13 : 026201369X
Total Pages : 747 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Introduction to Quantitative Finance by : Robert R. Reitano

Download or read book Introduction to Quantitative Finance written by Robert R. Reitano and published by MIT Press. This book was released on 2010-01-29 with total page 747 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to many mathematical topics applicable to quantitative finance that teaches how to “think in mathematics” rather than simply do mathematics by rote. This text offers an accessible yet rigorous development of many of the fields of mathematics necessary for success in investment and quantitative finance, covering topics applicable to portfolio theory, investment banking, option pricing, investment, and insurance risk management. The approach emphasizes the mathematical framework provided by each mathematical discipline, and the application of each framework to the solution of finance problems. It emphasizes the thought process and mathematical approach taken to develop each result instead of the memorization of formulas to be applied (or misapplied) automatically. The objective is to provide a deep level of understanding of the relevant mathematical theory and tools that can then be effectively used in practice, to teach students how to “think in mathematics” rather than simply to do mathematics by rote. Each chapter covers an area of mathematics such as mathematical logic, Euclidean and other spaces, set theory and topology, sequences and series, probability theory, and calculus, in each case presenting only material that is most important and relevant for quantitative finance. Each chapter includes finance applications that demonstrate the relevance of the material presented. Problem sets are offered on both the mathematical theory and the finance applications sections of each chapter. The logical organization of the book and the judicious selection of topics make the text customizable for a number of courses. The development is self-contained and carefully explained to support disciplined independent study as well. A solutions manual for students provides solutions to the book's Practice Exercises; an instructor's manual offers solutions to the Assignment Exercises as well as other materials.

Modern Computational Finance

Author : Antoine Savine
Publisher : John Wiley & Sons
ISBN 13 : 1119539455
Total Pages : 592 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Modern Computational Finance by : Antoine Savine

Download or read book Modern Computational Finance written by Antoine Savine and published by John Wiley & Sons. This book was released on 2018-11-20 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arguably the strongest addition to numerical finance of the past decade, Algorithmic Adjoint Differentiation (AAD) is the technology implemented in modern financial software to produce thousands of accurate risk sensitivities, within seconds, on light hardware. AAD recently became a centerpiece of modern financial systems and a key skill for all quantitative analysts, developers, risk professionals or anyone involved with derivatives. It is increasingly taught in Masters and PhD programs in finance. Danske Bank's wide scale implementation of AAD in its production and regulatory systems won the In-House System of the Year 2015 Risk award. The Modern Computational Finance books, written by three of the very people who designed Danske Bank's systems, offer a unique insight into the modern implementation of financial models. The volumes combine financial modelling, mathematics and programming to resolve real life financial problems and produce effective derivatives software. This volume is a complete, self-contained learning reference for AAD, and its application in finance. AAD is explained in deep detail throughout chapters that gently lead readers from the theoretical foundations to the most delicate areas of an efficient implementation, such as memory management, parallel implementation and acceleration with expression templates. The book comes with professional source code in C++, including an efficient, up to date implementation of AAD and a generic parallel simulation library. Modern C++, high performance parallel programming and interfacing C++ with Excel are also covered. The book builds the code step-by-step, while the code illustrates the concepts and notions developed in the book.

Numerical Methods in Finance with C++

Author : Maciej J. Capiński
Publisher : Cambridge University Press
ISBN 13 : 0521177162
Total Pages : 177 pages
Book Rating : 4.5/5 (211 download)

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Book Synopsis Numerical Methods in Finance with C++ by : Maciej J. Capiński

Download or read book Numerical Methods in Finance with C++ written by Maciej J. Capiński and published by Cambridge University Press. This book was released on 2012-08-02 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides aspiring quant developers with the numerical techniques and programming skills needed in quantitative finance. No programming background required.

C++ Design Patterns and Derivatives Pricing

Author : Mark Suresh Joshi
Publisher : Cambridge University Press
ISBN 13 : 9780521832359
Total Pages : 220 pages
Book Rating : 4.8/5 (323 download)

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Book Synopsis C++ Design Patterns and Derivatives Pricing by : Mark Suresh Joshi

Download or read book C++ Design Patterns and Derivatives Pricing written by Mark Suresh Joshi and published by Cambridge University Press. This book was released on 2004-08-05 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Design patterns are the cutting-edge paradigm for programming in object-oriented languages. Here they are discussed, for the first time in a book, in the context of implementing financial models in C++. Assuming only a basic knowledge of C++ and mathematical finance, the reader is taught how to produce well-designed, structured, re-usable code via concrete examples. Each example is treated in depth, with the whys and wherefores of the chosen method of solution critically examined. Part of the book is devoted to designing re-usable components that are then put together to build a Monte Carlo pricer for path-dependent exotic options. Advanced topics treated include the factory pattern, the singleton pattern and the decorator pattern. Complete ANSI/ISO-compatible C++ source code is included on a CD for the reader to study and re-use and so develop the skills needed to implement financial models with object-oriented programs and become a working financial engineer. Please note the CD supplied with this book is platform-dependent and PC users will not be able to use the files without manual intervention in order to remove extraneous characters. Cambridge University Press apologises for this error. Machine readable files for all users can be obtained from www.markjoshi.com/design.

Advanced Quantitative Finance with C++

Author : Alonso Peña
Publisher :
ISBN 13 : 9781306902618
Total Pages : 124 pages
Book Rating : 4.9/5 (26 download)

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Book Synopsis Advanced Quantitative Finance with C++ by : Alonso Peña

Download or read book Advanced Quantitative Finance with C++ written by Alonso Peña and published by . This book was released on 2014 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book takes the reader through a fast but structured crash-course in quantitative finance, from theory to practice. If you are a quantitative analyst, risk manager, actuary, or a professional working in the field of quantitative finance and want a quick hands-on introduction to the pricing of financial derivatives, this book is ideal for you. You should be familiar with the basic programming concepts and C++ programming language. You should also be acquainted with calculus of undergraduate level."

Quantitative Finance

Author : Maria Cristina Mariani
Publisher : John Wiley & Sons
ISBN 13 : 1118629965
Total Pages : 494 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Quantitative Finance by : Maria Cristina Mariani

Download or read book Quantitative Finance written by Maria Cristina Mariani and published by John Wiley & Sons. This book was released on 2019-11-06 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a multitude of topics relevant to the quantitative finance community by combining the best of the theory with the usefulness of applications Written by accomplished teachers and researchers in the field, this book presents quantitative finance theory through applications to specific practical problems and comes with accompanying coding techniques in R and MATLAB, and some generic pseudo-algorithms to modern finance. It also offers over 300 examples and exercises that are appropriate for the beginning student as well as the practitioner in the field. The Quantitative Finance book is divided into four parts. Part One begins by providing readers with the theoretical backdrop needed from probability and stochastic processes. We also present some useful finance concepts used throughout the book. In part two of the book we present the classical Black-Scholes-Merton model in a uniquely accessible and understandable way. Implied volatility as well as local volatility surfaces are also discussed. Next, solutions to Partial Differential Equations (PDE), wavelets and Fourier transforms are presented. Several methodologies for pricing options namely, tree methods, finite difference method and Monte Carlo simulation methods are also discussed. We conclude this part with a discussion on stochastic differential equations (SDE’s). In the third part of this book, several new and advanced models from current literature such as general Lvy processes, nonlinear PDE's for stochastic volatility models in a transaction fee market, PDE's in a jump-diffusion with stochastic volatility models and factor and copulas models are discussed. In part four of the book, we conclude with a solid presentation of the typical topics in fixed income securities and derivatives. We discuss models for pricing bonds market, marketable securities, credit default swaps (CDS) and securitizations. Classroom-tested over a three-year period with the input of students and experienced practitioners Emphasizes the volatility of financial analyses and interpretations Weaves theory with application throughout the book Utilizes R and MATLAB software programs Presents pseudo-algorithms for readers who do not have access to any particular programming system Supplemented with extensive author-maintained web site that includes helpful teaching hints, data sets, software programs, and additional content Quantitative Finance is an ideal textbook for upper-undergraduate and beginning graduate students in statistics, financial engineering, quantitative finance, and mathematical finance programs. It will also appeal to practitioners in the same fields.

Mathematical Modeling And Computation In Finance: With Exercises And Python And Matlab Computer Codes

Author : Cornelis W Oosterlee
Publisher : World Scientific
ISBN 13 : 1786347962
Total Pages : 1310 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Mathematical Modeling And Computation In Finance: With Exercises And Python And Matlab Computer Codes by : Cornelis W Oosterlee

Download or read book Mathematical Modeling And Computation In Finance: With Exercises And Python And Matlab Computer Codes written by Cornelis W Oosterlee and published by World Scientific. This book was released on 2019-10-29 with total page 1310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the interplay of stochastics (applied probability theory) and numerical analysis in the field of quantitative finance. The stochastic models, numerical valuation techniques, computational aspects, financial products, and risk management applications presented will enable readers to progress in the challenging field of computational finance.When the behavior of financial market participants changes, the corresponding stochastic mathematical models describing the prices may also change. Financial regulation may play a role in such changes too. The book thus presents several models for stock prices, interest rates as well as foreign-exchange rates, with increasing complexity across the chapters. As is said in the industry, 'do not fall in love with your favorite model.' The book covers equity models before moving to short-rate and other interest rate models. We cast these models for interest rate into the Heath-Jarrow-Morton framework, show relations between the different models, and explain a few interest rate products and their pricing.The chapters are accompanied by exercises. Students can access solutions to selected exercises, while complete solutions are made available to instructors. The MATLAB and Python computer codes used for most tables and figures in the book are made available for both print and e-book users. This book will be useful for people working in the financial industry, for those aiming to work there one day, and for anyone interested in quantitative finance. The topics that are discussed are relevant for MSc and PhD students, academic researchers, and for quants in the financial industry.

Advanced Quantitative Finance

Author : William Johnson
Publisher : HiTeX Press
ISBN 13 :
Total Pages : 574 pages
Book Rating : 4.:/5 (661 download)

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Book Synopsis Advanced Quantitative Finance by : William Johnson

Download or read book Advanced Quantitative Finance written by William Johnson and published by HiTeX Press. This book was released on 2024-10-18 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Advanced Quantitative Finance: Trading, Risk, and Portfolio Optimization" unfolds as an essential guide for anyone eager to delve into the sophisticated world of modern finance. This comprehensive text blends theoretical underpinnings with practical insights, offering a robust exploration of the quantitative techniques driving today's markets. Each chapter systematically demystifies complex subjects—from risk management and derivatives pricing to algorithmic trading and asset pricing models—empowering readers to grasp the nuances of financial analysis with clarity and precision. Structured for both novices and seasoned professionals, the book navigates the latest advancements in machine learning, big data analytics, and behavioral finance, presenting them as indispensable tools for the contemporary financial landscape. With a focus on actionable knowledge and strategic applications, readers will gain the proficiency needed to enhance their decision-making, optimize investment portfolios, and effectively manage risk in an ever-evolving economic environment. This book is your invitation to not only understand quantitative finance but to excel in it, unlocking new levels of insight and innovation in your financial pursuits.

Financial Instrument Pricing Using C++

Author : Daniel J. Duffy
Publisher : John Wiley & Sons
ISBN 13 : 1118856473
Total Pages : 437 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis Financial Instrument Pricing Using C++ by : Daniel J. Duffy

Download or read book Financial Instrument Pricing Using C++ written by Daniel J. Duffy and published by John Wiley & Sons. This book was released on 2013-10-23 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the best languages for the development of financial engineering and instrument pricing applications is C++. This book has several features that allow developers to write robust, flexible and extensible software systems. The book is an ANSI/ISO standard, fully object-oriented and interfaces with many third-party applications. It has support for templates and generic programming, massive reusability using templates (?write once?) and support for legacy C applications. In this book, author Daniel J. Duffy brings C++ to the next level by applying it to the design and implementation of classes, libraries and applications for option and derivative pricing models. He employs modern software engineering techniques to produce industrial-strength applications: Using the Standard Template Library (STL) in finance Creating your own template classes and functions Reusable data structures for vectors, matrices and tensors Classes for numerical analysis (numerical linear algebra ?) Solving the Black Scholes equations, exact and approximate solutions Implementing the Finite Difference Method in C++ Integration with the ?Gang of Four? Design Patterns Interfacing with Excel (output and Add-Ins) Financial engineering and XML Cash flow and yield curves Included with the book is a CD containing the source code in the Datasim Financial Toolkit. You can use this to get up to speed with your C++ applications by reusing existing classes and libraries. 'Unique... Let's all give a warm welcome to modern pricing tools.' -- Paul Wilmott, mathematician, author and fund manager

Implementing Models in Quantitative Finance: Methods and Cases

Author : Gianluca Fusai
Publisher : Springer Science & Business Media
ISBN 13 : 3540499598
Total Pages : 606 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Implementing Models in Quantitative Finance: Methods and Cases by : Gianluca Fusai

Download or read book Implementing Models in Quantitative Finance: Methods and Cases written by Gianluca Fusai and published by Springer Science & Business Media. This book was released on 2007-12-20 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Implementing QuantLib. Quantitative Finance in C++: an Inside Look at the Architecture of the QuantLib Library

Author : Luigi Ballabio
Publisher :
ISBN 13 :
Total Pages : 364 pages
Book Rating : 4.2/5 (2 download)

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Book Synopsis Implementing QuantLib. Quantitative Finance in C++: an Inside Look at the Architecture of the QuantLib Library by : Luigi Ballabio

Download or read book Implementing QuantLib. Quantitative Finance in C++: an Inside Look at the Architecture of the QuantLib Library written by Luigi Ballabio and published by . This book was released on 2020 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Corporate Finance

Author : Joseph P. Ogden
Publisher : Pearson
ISBN 13 :
Total Pages : 728 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Advanced Corporate Finance by : Joseph P. Ogden

Download or read book Advanced Corporate Finance written by Joseph P. Ogden and published by Pearson. This book was released on 2003 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book devoted exclusively to modern advanced corporate finance, this volume provides a comprehensive exploration of theoretical and empirical literature on corporate financial policies and strategies--particularly those of U.S. nonfinancial firms--defined in rational, economic terms. Throughout, Cases in Point show theory in relation to financial decisions made by specific firms; and Real-World Focus highlights numerous articles from the financial press, providing insights from practitioners' points of view. Empirical Perspectives On The Financial Characteristics Of Publicly Traded U.S. Nonfinancial Firms. Valuation And Financing Decisions In An Ideal Capital Market. Separation Of Ownership And Control, Principal-Agent Conflicts, And Financial Policies. Information Asymmetry And The Markets For Corporate Securities. The Roles Of Government, Securities Markets, Financial Institutions, Ownership Structure, Board Oversight, And Contract Devices. The Leverage Decision. Analyses Of The Firm And The Valuation Of Equity And Debt. Industry Analysis And Financial Policies And Strategies. The Firm's Environment, Governance, Strategy, Operations, And Financial Structure. Market Efficiency, Event Studies, Cost Of Equity Capital, And Equity Valuation. Corporate Bonds: Terms, Issuance, And Valuation. Private Equity And Venture Capital. Initial Public Offerings Of Stock. Managing Internal Equity And Seasoned Equity Offerings. Dividend Policy And Stock Repurchases. Corporate Liabilities: Strategic Selections Of Lenders And Contract Terms. Mergers, Acquisitions, Takeovers, And Buyouts. Financial Distress And Restructuring. Debt Restructuring, Being Acquired, Bankruptcy, Reorganization, And Liquidation. Organizational Architecture, Risk Management, And Security Design. For CEOs and CFOs of corporations, senior lending officers at commercial banks, and senior officers and analysts at investment banks.

Advanced Mathematical Methods for Finance

Author : Julia Di Nunno
Publisher : Springer Science & Business Media
ISBN 13 : 364218412X
Total Pages : 532 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Advanced Mathematical Methods for Finance by : Julia Di Nunno

Download or read book Advanced Mathematical Methods for Finance written by Julia Di Nunno and published by Springer Science & Business Media. This book was released on 2011-03-29 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents innovations in the mathematical foundations of financial analysis and numerical methods for finance and applications to the modeling of risk. The topics selected include measures of risk, credit contagion, insider trading, information in finance, stochastic control and its applications to portfolio choices and liquidation, models of liquidity, pricing, and hedging. The models presented are based on the use of Brownian motion, Lévy processes and jump diffusions. Moreover, fractional Brownian motion and ambit processes are also introduced at various levels. The chosen blend of topics gives an overview of the frontiers of mathematics for finance. New results, new methods and new models are all introduced in different forms according to the subject. Additionally, the existing literature on the topic is reviewed. The diversity of the topics makes the book suitable for graduate students, researchers and practitioners in the areas of financial modeling and quantitative finance. The chapters will also be of interest to experts in the financial market interested in new methods and products. This volume presents the results of the European ESF research networking program Advanced Mathematical Methods for Finance.

Machine Learning for Asset Managers

Author : Marcos M. López de Prado
Publisher : Cambridge University Press
ISBN 13 : 1108879721
Total Pages : 152 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Machine Learning for Asset Managers by : Marcos M. López de Prado

Download or read book Machine Learning for Asset Managers written by Marcos M. López de Prado and published by Cambridge University Press. This book was released on 2020-04-22 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Successful investment strategies are specific implementations of general theories. An investment strategy that lacks a theoretical justification is likely to be false. Hence, an asset manager should concentrate her efforts on developing a theory rather than on backtesting potential trading rules. The purpose of this Element is to introduce machine learning (ML) tools that can help asset managers discover economic and financial theories. ML is not a black box, and it does not necessarily overfit. ML tools complement rather than replace the classical statistical methods. Some of ML's strengths include (1) a focus on out-of-sample predictability over variance adjudication; (2) the use of computational methods to avoid relying on (potentially unrealistic) assumptions; (3) the ability to "learn" complex specifications, including nonlinear, hierarchical, and noncontinuous interaction effects in a high-dimensional space; and (4) the ability to disentangle the variable search from the specification search, robust to multicollinearity and other substitution effects.