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Author: Christian Bayer
Publisher: SIAM
ISBN: 1611977789
Category : Mathematics
Languages : en
Pages : 292
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Book Description
Volatility underpins financial markets by encapsulating uncertainty about prices, individual behaviors, and decisions and has traditionally been modeled as a semimartingale, with consequent scaling properties. The mathematical description of the volatility process has been an active topic of research for decades; however, driven by empirical estimates of the scaling behavior of volatility, a new paradigm has emerged, whereby paths of volatility are rougher than those of semimartingales. According to this perspective, volatility behaves essentially as a fractional Brownian motion with a small Hurst parameter. The first book to offer a comprehensive exploration of the subject, Rough Volatility contributes to the understanding and application of rough volatility models by equipping readers with the tools and insights needed to delve into the topic, exploring the motivation for rough volatility modeling, providing a toolbox for computation and practical implementation, and organizing the material to reflect the subject’s development and progression. This book is designed for researchers and graduate students in quantitative finance as well as quantitative analysts and finance professionals.
Author: Christian Bayer
Publisher: SIAM
ISBN: 1611977789
Category : Mathematics
Languages : en
Pages : 292
Get Book Here
Book Description
Volatility underpins financial markets by encapsulating uncertainty about prices, individual behaviors, and decisions and has traditionally been modeled as a semimartingale, with consequent scaling properties. The mathematical description of the volatility process has been an active topic of research for decades; however, driven by empirical estimates of the scaling behavior of volatility, a new paradigm has emerged, whereby paths of volatility are rougher than those of semimartingales. According to this perspective, volatility behaves essentially as a fractional Brownian motion with a small Hurst parameter. The first book to offer a comprehensive exploration of the subject, Rough Volatility contributes to the understanding and application of rough volatility models by equipping readers with the tools and insights needed to delve into the topic, exploring the motivation for rough volatility modeling, providing a toolbox for computation and practical implementation, and organizing the material to reflect the subject’s development and progression. This book is designed for researchers and graduate students in quantitative finance as well as quantitative analysts and finance professionals.
Author: Marcos C. S. Carreira
Publisher: Springer
ISBN: 113747727X
Category : Business & Economics
Languages : en
Pages : 328
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Book Description
The Brazilian financial markets operate in a very different way to G7 markets. Key differences include onshore and offshore markets, exponential rates, business days day-counts, and price formation from the futures markets (instead of the cash markets). This book provides a quantitative, applied guide to the offshore and onshore Brazilian markets, with a focus on the financial instruments unique to the region. It offers a comprehensive introduction to the key financial 'archaeology' in the Brazil context, exploring interest rates, FX and inflation and key differences from G7 market finance. It explores the core industry investment banking business in detail, from FX to interest rates and cash and inflation. Finally it introduces the region's unique financial instruments, as well as their pricing and risk management needs. Covering both introductory and complex topics, this book provides existing practitioners in Brazil, as well as those interested in becoming involved in these markets, everything they need to understand the market dynamics, risks, pricing and calibration of curves for all products currently available.
Author: Peter K. Friz
Publisher: Springer Nature
ISBN: 3030415562
Category : Mathematics
Languages : en
Pages : 354
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Book Description
With many updates and additional exercises, the second edition of this book continues to provide readers with a gentle introduction to rough path analysis and regularity structures, theories that have yielded many new insights into the analysis of stochastic differential equations, and, most recently, stochastic partial differential equations. Rough path analysis provides the means for constructing a pathwise solution theory for stochastic differential equations which, in many respects, behaves like the theory of deterministic differential equations and permits a clean break between analytical and probabilistic arguments. Together with the theory of regularity structures, it forms a robust toolbox, allowing the recovery of many classical results without having to rely on specific probabilistic properties such as adaptedness or the martingale property. Essentially self-contained, this textbook puts the emphasis on ideas and short arguments, rather than aiming for the strongest possible statements. A typical reader will have been exposed to upper undergraduate analysis and probability courses, with little more than Itô-integration against Brownian motion required for most of the text. From the reviews of the first edition: "Can easily be used as a support for a graduate course ... Presents in an accessible way the unique point of view of two experts who themselves have largely contributed to the theory" - Fabrice Baudouin in the Mathematical Reviews "It is easy to base a graduate course on rough paths on this ... A researcher who carefully works her way through all of the exercises will have a very good impression of the current state of the art" - Nicolas Perkowski in Zentralblatt MATH
Author: Peter K. Friz
Publisher: Springer
ISBN: 3319116053
Category : Mathematics
Languages : en
Pages : 590
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Book Description
Topics covered in this volume (large deviations, differential geometry, asymptotic expansions, central limit theorems) give a full picture of the current advances in the application of asymptotic methods in mathematical finance, and thereby provide rigorous solutions to important mathematical and financial issues, such as implied volatility asymptotics, local volatility extrapolation, systemic risk and volatility estimation. This volume gathers together ground-breaking results in this field by some of its leading experts. Over the past decade, asymptotic methods have played an increasingly important role in the study of the behaviour of (financial) models. These methods provide a useful alternative to numerical methods in settings where the latter may lose accuracy (in extremes such as small and large strikes, and small maturities), and lead to a clearer understanding of the behaviour of models, and of the influence of parameters on this behaviour. Graduate students, researchers and practitioners will find this book very useful, and the diversity of topics will appeal to people from mathematical finance, probability theory and differential geometry.
Author: Euan Sinclair
Publisher: John Wiley & Sons
ISBN: 1119583519
Category : Business & Economics
Languages : en
Pages : 246
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Book Description
A detailed, one-stop guide for experienced options traders Positional Option Trading: An Advanced Guide is a rigorous, professional-level guide on sophisticated techniques from professional trader and quantitative analyst Euan Sinclair. The author has over two decades of high-level option trading experience. He has written this book specifically for professional options traders who have outgrown more basic trading techniques and are searching for in-depth information suitable for advanced trading. Custom-tailored to respond to the volatile option trading environment, this expert guide stresses the importance of finding a valid edge in situations where risk is usually overwhelmed by uncertainty and unknowability. Using examples of edges such as the volatility premium, term-structure premia and earnings effects, the author shows how to find valid trading ideas and details the decision process for choosing an option structure that best exploits the advantage. Advanced topics include a quantitative approach for directionally trading options, the robustness of the Black Scholes Merton model, trade sizing for option portfolios, robust risk management and more. This book: Provides advanced trading techniques for experienced professional traders Addresses the need for in-depth, quantitative information that more general, intro-level options trading books do not provide Helps readers to master their craft and improve their performance Includes advanced risk management methods in option trading No matter the market conditions, Positional Option Trading: An Advanced Guide is an important resource for any professional or advanced options trader.
Author: Jean-Pierre Fouque
Publisher: Cambridge University Press
ISBN: 9780521791632
Category : Business & Economics
Languages : en
Pages : 222
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Book Description
This book, first published in 2000, addresses pricing and hedging derivative securities in uncertain and changing market volatility.
Author: Jim Gatheral
Publisher:
ISBN: 9781119202073
Category : Options (Finance)
Languages : en
Pages : 179
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Book Description
Author: Elisa Alos
Publisher: CRC Press
ISBN: 1000403513
Category : Mathematics
Languages : en
Pages : 350
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Book Description
Malliavin Calculus in Finance: Theory and Practice aims to introduce the study of stochastic volatility (SV) models via Malliavin Calculus. Malliavin calculus has had a profound impact on stochastic analysis. Originally motivated by the study of the existence of smooth densities of certain random variables, it has proved to be a useful tool in many other problems. In particular, it has found applications in quantitative finance, as in the computation of hedging strategies or the efficient estimation of the Greeks. The objective of this book is to offer a bridge between theory and practice. It shows that Malliavin calculus is an easy-to-apply tool that allows us to recover, unify, and generalize several previous results in the literature on stochastic volatility modeling related to the vanilla, the forward, and the VIX implied volatility surfaces. It can be applied to local, stochastic, and also to rough volatilities (driven by a fractional Brownian motion) leading to simple and explicit results. Features Intermediate-advanced level text on quantitative finance, oriented to practitioners with a basic background in stochastic analysis, which could also be useful for researchers and students in quantitative finance Includes examples on concrete models such as the Heston, the SABR and rough volatilities, as well as several numerical experiments and the corresponding Python scripts Covers applications on vanillas, forward start options, and options on the VIX. The book also has a Github repository with the Python library corresponding to the numerical examples in the text. The library has been implemented so that the users can re-use the numerical code for building their examples. The repository can be accessed here: https://bit.ly/2KNex2Y.
Author: Gilles Teyssière
Publisher: Springer Science & Business Media
ISBN: 3540346252
Category : Business & Economics
Languages : en
Pages : 394
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Book Description
Assembles three different strands of long memory analysis: statistical literature on the properties of, and tests for, LRD processes; mathematical literature on the stochastic processes involved; and models from economic theory providing plausible micro foundations for the occurrence of long memory in economics.
Author: Víctor Flores
Publisher: Springer
ISBN: 3319471600
Category : Computers
Languages : en
Pages : 596
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Book Description
This book constitutes the refereed proceedings of the International Joint Conference on Rough Sets, IJCRS 2016, held in Santiago de Chile, Chile, in October 2016. The 46 revised full papers presented together with 7 keynotes, tutorials and expert papers were carefully reviewed and selected from 108 submissions. The papers are grouped in topical sections on Rough Sets, Approximation and Granulation; Rough Sets, Non-Determinism and Incompleteness; Rough Sets and Three-way Decisions; Fuzziness and Similarity in Knowledge Representation; Machine Learning and Decision Making; Ranking and Clustering; Derivation and Application of Rules and Trees; Derivation and Application of Feature Subsets.
