Download or read book Option Pricing in the Moderate Deviations Regime written by Peter Friz and published by . This book was released on 2016 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider call option prices in diffusion models close to expiry, in an asymptotic regime ("moderately out of the money") that interpolates between the well-studied cases of at-the-money options and out-of-the-money fixed-strike options. First and higher order small-time moderate deviation estimates of call prices and implied volatility are obtained. The expansions involve only simple expressions of the model parameters, and we show in detail how to calculate them for generic local and stochastic volatility models. Some numerical examples for the Heston model illustrate the accuracy of our results.

Download or read book Pathwise Moderate Deviations for Option Pricing written by Antoine (Jack) Jacquier and published by . This book was released on 2018 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: We provide a unifying treatment of pathwise moderate deviations for models commonly used in financial applications, and for related integrated functionals. Suitable scaling allows us to transfer these results into small-time, large-time and tail asymptotics for diffusions, as well as for option prices and realised variances. In passing, we highlight some intuitive relationships between moderate deviations rate functions and their large deviations counterparts; these turn out to be useful for numerical purposes, as large deviations rate functions are often difficult to compute.

Download or read book Options 45 Years Since The Publication Of The Black scholes merton Model The Gershon Fintech Center Conference written by David Gershon and published by World Scientific. This book was released on 2022-12-21 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains contributions by the best-known and consequential researchers who, over several decades, shaped the field of financial engineering. It presents a comprehensive and unique perspective on the historical development and the current state of derivatives research. The book covers classical and modern approaches to option pricing, realized and implied volatilities, classical and rough stochastic processes, and contingent claims analysis in corporate finance. The book is invaluable for students, academic researchers, and practitioners working with financial derivatives, market regulation, trading, risk management, and corporate decision-making.

Download or read book Rough Volatility written by Christian Bayer and published by SIAM. This book was released on 2023-12-18 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Nonlinear Option Pricing written by Julien Guyon and published by CRC Press. This book was released on 2013-12-19 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: New Tools to Solve Your Option Pricing Problems For nonlinear PDEs encountered in quantitative finance, advanced probabilistic methods are needed to address dimensionality issues. Written by two leaders in quantitative research—including Risk magazine’s 2013 Quant of the Year—Nonlinear Option Pricing compares various numerical methods for solving high-dimensional nonlinear problems arising in option pricing. Designed for practitioners, it is the first authored book to discuss nonlinear Black-Scholes PDEs and compare the efficiency of many different methods. Real-World Solutions for Quantitative Analysts The book helps quants develop both their analytical and numerical expertise. It focuses on general mathematical tools rather than specific financial questions so that readers can easily use the tools to solve their own nonlinear problems. The authors build intuition through numerous real-world examples of numerical implementation. Although the focus is on ideas and numerical examples, the authors introduce relevant mathematical notions and important results and proofs. The book also covers several original approaches, including regression methods and dual methods for pricing chooser options, Monte Carlo approaches for pricing in the uncertain volatility model and the uncertain lapse and mortality model, the Markovian projection method and the particle method for calibrating local stochastic volatility models to market prices of vanilla options with/without stochastic interest rates, the a + bλ technique for building local correlation models that calibrate to market prices of vanilla options on a basket, and a new stochastic representation of nonlinear PDE solutions based on marked branching diffusions.

Download or read book Large Deviations and Asymptotic Methods in Finance written by Peter K. Friz and published by Springer. This book was released on 2015-06-16 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Conquering the Fear of Freedom written by Shinji Takagi and published by OUP Oxford. This book was released on 2015-04-16 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conquering the Fear of Freedom presents an analytical review of Japanese exchange rate policy from the end of World War II to the present. It examines how authorities, starting with the imposition of draconian controls over all international financial flows, moved toward eliminating virtually all state interference regulating foreign exchange transactions, including official intervention in the foreign exchange market. It describes how policy and institutional frameworks evolved, explains their domestic and international contexts, and assesses the impacts and consequences of policy actions. Following successful exchange rate-based stabilization in the early 1950s, Japan entered the world trading system with an overvalued currency, which helped perpetuate exchange and capital controls. As the culture of administrative control became ingrained, Japan took a decidedly gradualist approach to establishing current and capital account convertibility. The protracted capital account liberalization, coupled with slow domestic financial liberalization, created large swings in the yen's exchange rate when it was floated in the 1970s. Politicization by major trading partners of Japan's large bilateral trade surplus pressured authorities to subordinate domestic stability to external objectives. The ultimate outcome was costly: from the late 1980s, Japan successively experienced asset price inflation, a banking crisis, and economic stagnation. The book concludes by arguing that the shrinking trade surplus against the background of profound structural changes, the rise of China that has diminished the political intensity of any remaining bilateral economic issues, and the world's sympathy over two decades of deflation have given Japan, at least for now, the freedom to use macroeconomic policies for domestic purposes.

Download or read book Financial Signal Processing and Machine Learning written by Ali N. Akansu and published by John Wiley & Sons. This book was released on 2016-04-21 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The modern financial industry has been required to deal with large and diverse portfolios in a variety of asset classes often with limited market data available. Financial Signal Processing and Machine Learning unifies a number of recent advances made in signal processing and machine learning for the design and management of investment portfolios and financial engineering. This book bridges the gap between these disciplines, offering the latest information on key topics including characterizing statistical dependence and correlation in high dimensions, constructing effective and robust risk measures, and their use in portfolio optimization and rebalancing. The book focuses on signal processing approaches to model return, momentum, and mean reversion, addressing theoretical and implementation aspects. It highlights the connections between portfolio theory, sparse learning and compressed sensing, sparse eigen-portfolios, robust optimization, non-Gaussian data-driven risk measures, graphical models, causal analysis through temporal-causal modeling, and large-scale copula-based approaches. Key features: Highlights signal processing and machine learning as key approaches to quantitative finance. Offers advanced mathematical tools for high-dimensional portfolio construction, monitoring, and post-trade analysis problems. Presents portfolio theory, sparse learning and compressed sensing, sparsity methods for investment portfolios. including eigen-portfolios, model return, momentum, mean reversion and non-Gaussian data-driven risk measures with real-world applications of these techniques. Includes contributions from leading researchers and practitioners in both the signal and information processing communities, and the quantitative finance community.

Download or read book Option Pricing for an Affine Jump Diffusion Model written by Zhiqiu Li and published by . This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the first part of this thesis, we study the asymptotic behaviors of implied volatility of an affine jump-diffusion (AJD) model. Let log stock price under risk-neutral measure follow an AJD model, we show that an explicit form of moment generating function for log stock price can be obtained by solving a set of ordinary differential equations. A large-time large deviation principle for log stock price is derived by applying the G\"{a}rtner-Ellis theorem. We characterize the asymptotic behaviors of the implied volatility in the large-maturity and large-strike regime using rate function in the large deviation principle. The asymptotics of the Black-Scholes implied volatility for fixed-maturity, large-strike and fixed-maturity, small-strike regimes are also studied. Numerical results are provided to validate the theoretical work. In the second part of this thesis, we study the European option pricing problem when the underlying stock follows an AJD model whose jump interarrival time has a Cox-Ingersoll-Ross type intensity dynamics. An analytic formula of a European option pricing is derived using the Fourier inversion transform technique. We develop a Monte Carlo algorithm to simulate the dynamics of an AJD model. We observe AJD At-The-Money (ATM) European option prices using the Monte Carlo simulation converge to the Fourier analytic ones as the number of simulation paths increases.

Download or read book Evaluating Policy Regimes written by Ralph Bryant and published by Brookings Institution Press. This book was released on 2010-12-01 with total page 1028 pages. Available in PDF, EPUB and Kindle. Book excerpt: Economists have long debated the theoretical merits—for an individual nation and for a multi-nation world economy—of alternative approaches to the conduct of economic policy. Yet theory alone cannot resolve the important issues at stake. Only after the robustness of policy regimes has been carefully examined with empirical evidence will policymakers and economists be able to reach more of a consensus. This pathbreaking volume takes major steps forward in meeting the need for a combination of theoretical and empirical evaluations of alternative policy regimes. Bringing together individuals and groups doing pioneering research on macroeconomic interaction, it explores what approach to monetary policy would lead to superior performance by individual national economies and the world economy as a whole. Many parts of the book use the analytical techniques of stochastic simulation, an evaluation procedure increasingly employed at the frontier of empirical economic analysis. The book provides a summary of the hey issues involved in evaluating policy regimes and clarifies the relationships among those issues. The authors examine the stabilization properties of alternative monetary-policy regimes and analyze how well various regime types perform in the face of unexpected shocks to national economies. Among their conclusions, they find that some simplified regimes for monetary policy are markedly less promising than others for achieving the stabilization objectives commonly sought by policymakers. Evaluating Policy Regimes is another major installment in a continuing world wide research project, sponsored by the Brookings Institution, to improve empirical knowledge about the interdependence of national economies.

Download or read book An Options based Analysis of Emerging Market Exchange Rate Expectations written by José Campa and published by . This book was released on 2000 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Option Pricing written by Robert A. Jarrow and published by McGraw-Hill/Irwin. This book was released on 1983 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Black Scholes and Beyond Option Pricing Models written by Neil Chriss and published by McGraw Hill Professional. This book was released on 1997 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: An unprecedented book on option pricing! For the first time, the basics on modern option pricing are explained ``from scratch'' using only minimal mathematics. Market practitioners and students alike will learn how and why the Black-Scholes equation works, and what other new methods have been developed that build on the success of Black-Shcoles. The Cox-Ross-Rubinstein binomial trees are discussed, as well as two recent theories of option pricing: the Derman-Kani theory on implied volatility trees and Mark Rubinstein's implied binomial trees. Black-Scholes and Beyond will not only help the reader gain a solid understanding of the Balck-Scholes formula, but will also bring the reader up to date by detailing current theoretical developments from Wall Street. Furthermore, the author expands upon existing research and adds his own new approaches to modern option pricing theory. Among the topics covered in Black-Scholes and Beyond: detailed discussions of pricing and hedging options; volatility smiles and how to price options ``in the presence of the smile''; complete explanation on pricing barrier options.

Download or read book Keeping it Simple Efficiency Costs of Fixed Margin Regimes in Transfer Pricing written by Sebastian Beer and published by International Monetary Fund. This book was released on 2022-09-23 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simplifying tax policy comes with costs and benefits. This paper explores simplification options for the taxation of MNEs, an area where administrative and compliance costs of the current rules are large. Simplified approaches seek to reduce these costs by relying on an approximation of the true tax base, potentially distorting resource allocation. We examine the efficiency cost of transfer pricing simplification theoretically and empirically. Using a sample of 300,000 firms located in 22 countries, we estimate that common transfer pricing practices reduce efficiency between 0.25 and 2.2 percent of total factor productivity across sectors. Focusing on the manufacturing sector, we then observe that simplification more than doubles sectoral inefficiency on average. However, large differences exist, with moderate efficiency costs in several sectors.

Download or read book Option Pricing with Unobserved and Regime Switching Volatility written by Sean D. Campbell and published by . This book was released on 1999 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we use a regime-switching process to model the unobserved volatility of the underlying asset and derive a closed-form, risk-neutral option pricing formula. Specifically, our model implies the state price density (SPD) is a time-varying mixture of normals which can provide for time-varying excess kurtosis and skewness as agents learn about the state of volatility from realized returns. Furthermore, we show that our model generates the kinds of volatility quot;smilesquot; commonly found in option markets. We apply our two and three regime models to weekly Samp;P 500 option data and find our model fits the data better than other popular pricing models. Additionally, we find evidence that stock returns can be well-described by a markov switching framework with a very persistent low volatility regime followed by a less persistent moderate volatility regime and a highly non-persistent crash regime. Our estimation results don't suffer the so called quot;Peso Problemquot; as they come from option prices instead of the observed stock returns.

Download or read book Exotic Options and Hybrids written by Mohamed Bouzoubaa and published by John Wiley & Sons. This book was released on 2010-05-17 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: The recent financial crisis brought to light many of the misunderstandings and misuses of exotic derivatives. With market participants on both the buy and sell-side having been found guilty of not understanding the products they were dealing with, never before has there been a greater need for clarification and explanation. Exotic Options and Hybrids is a practical guide to structuring, pricing and hedging complex exotic options and hybrid derivatives that will serve readers through the recent crisis, the road to recovery, the next bull market and beyond. Written by experienced practitioners, it focuses on the three main parts of a derivative’s life: the structuring of a product, its pricing and its hedging. Divided into four parts, the book covers a multitude of structures, encompassing many of the most up-to-date and promising products from exotic equity derivatives and structured notes to hybrid derivatives and dynamic strategies. Based on a realistic setting from the heart of the business, inside a derivatives operation, the practical and intuitive discussions of these aspects make these exotic concepts truly accessible. Adoptions of real trades are examined in detail, and all of the numerous examples are carefully selected so as to highlight interesting and significant aspects of the business. The introduction of payoff structures is accompanied by scenario analysis, diagrams and lifelike sample term sheets. Readers learn how to spot where the risks lie to pave the way for sound valuation and hedging of such products. There are also questions and accompanying discussions dispersed in the text, each exploited to illustrate one or more concepts from the context in which they are set. The applications, the strengths and the limitations of various models are highlighted, in relevance to the products and their risks, rather than the model implementations. Models are de-mystified in separately dedicated sections, but their implications are alluded to throughout the book in an intuitive and non-mathematical manner. By discussing exotic options and hybrids in a practical, non-mathematical and highly intuitive setting, this book will blast through the misunderstanding of exotic derivatives, enabling practitioners to fully understand and correctly structure, price and hedge theses products effectively, and stand strong as the only book in its class to make these “exotic” concepts truly accessible.

Download or read book Handbook Of Financial Econometrics Mathematics Statistics And Machine Learning In 4 Volumes written by Cheng Few Lee and published by World Scientific. This book was released on 2020-07-30 with total page 5053 pages. Available in PDF, EPUB and Kindle. Book excerpt: This four-volume handbook covers important concepts and tools used in the fields of financial econometrics, mathematics, statistics, and machine learning. Econometric methods have been applied in asset pricing, corporate finance, international finance, options and futures, risk management, and in stress testing for financial institutions. This handbook discusses a variety of econometric methods, including single equation multiple regression, simultaneous equation regression, and panel data analysis, among others. It also covers statistical distributions, such as the binomial and log normal distributions, in light of their applications to portfolio theory and asset management in addition to their use in research regarding options and futures contracts.In both theory and methodology, we need to rely upon mathematics, which includes linear algebra, geometry, differential equations, Stochastic differential equation (Ito calculus), optimization, constrained optimization, and others. These forms of mathematics have been used to derive capital market line, security market line (capital asset pricing model), option pricing model, portfolio analysis, and others.In recent times, an increased importance has been given to computer technology in financial research. Different computer languages and programming techniques are important tools for empirical research in finance. Hence, simulation, machine learning, big data, and financial payments are explored in this handbook.Led by Distinguished Professor Cheng Few Lee from Rutgers University, this multi-volume work integrates theoretical, methodological, and practical issues based on his years of academic and industry experience.