A Semi Group Expansion For Pricing Barrier Options

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Large Deviations and Asymptotic Methods in Finance

Author : Peter K. Friz
Publisher : Springer
ISBN 13 : 3319116053
Total Pages : 590 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Large Deviations and Asymptotic Methods in Finance by : Peter K. Friz

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.

American-Type Options

Author : Dmitrii S. Silvestrov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110389908
Total Pages : 672 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis American-Type Options by : Dmitrii S. Silvestrov

Download or read book American-Type Options written by Dmitrii S. Silvestrov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-03-03 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gives a systematical presentation of stochastic approximation methods for discrete time Markov price processes. Advanced methods combining backward recurrence algorithms for computing of option rewards and general results on convergence of stochastic space skeleton and tree approximations for option rewards are applied to a variety of models of multivariate modulated Markov price processes. The principal novelty of presented results is based on consideration of multivariate modulated Markov price processes and general pay-off functions, which can depend not only on price but also an additional stochastic modulating index component, and use of minimal conditions of smoothness for transition probabilities and pay-off functions, compactness conditions for log-price processes and rate of growth conditions for pay-off functions. The volume presents results on structural studies of optimal stopping domains, Monte Carlo based approximation reward algorithms, and convergence of American-type options for autoregressive and continuous time models, as well as results of the corresponding experimental studies.

Recent Advances in Financial Engineering

Author : Akihiko Takahashi
Publisher : World Scientific
ISBN 13 : 9814407321
Total Pages : 231 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Recent Advances in Financial Engineering by : Akihiko Takahashi

Download or read book Recent Advances in Financial Engineering written by Akihiko Takahashi and published by World Scientific. This book was released on 2012 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the Proceedings of the International Workshop on Finance 2011, held in Kyoto in the summer of 2011 with the aim of exchanging new ideas in financial engineering among researchers from various countries from both academia and industry. the workshop was held as a successor to the Daiwa International Workshop (2004–2008), and the KIER-TMU International Workshop (2009–2010). This workshop was organized by the Center for Advanced Research in Finance (CARF), Graduate School of Economics, the University of Tokyo, and Graduate School of Social Sciences, Tokyo Metropolitan University — and co-organized by Life Risk Research Center, Doshisha University.The workshop serves as a bridge between academic researchers and practitioners.This book contains about fifteen papers, all refereed, representing the presentations at the workshop. the papers address state-of-the-art techniques in financial engineering.

Proceedings of the International Workshop on Finance 2011. Doshisha University, Kyoto, Japan. 3-4 August 2011

Author : Akihiko Takahashi
Publisher : World Scientific
ISBN 13 : 981440733X
Total Pages : 231 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Proceedings of the International Workshop on Finance 2011. Doshisha University, Kyoto, Japan. 3-4 August 2011 by : Akihiko Takahashi

Download or read book Proceedings of the International Workshop on Finance 2011. Doshisha University, Kyoto, Japan. 3-4 August 2011 written by Akihiko Takahashi and published by World Scientific. This book was released on 2012-05-21 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the Proceedings of the International Workshop on Finance 2011, held in Kyoto in the summer of 2011 with the aim of exchanging new ideas in financial engineering among researchers from various countries from both academia and industry. The workshop was held as a successor to the Daiwa International Workshop (2004OCo2008), and the KIER-TMU International Workshop (2009OCo2010). This workshop was organized by the Center for Advanced Research in Finance (CARF), Graduate School of Economics, the University of Tokyo, and Graduate School of Social Sciences, Tokyo Metropolitan University OCo and co-organized by Life Risk Research Center, Doshisha University. The workshop serves as a bridge between academic researchers and practitioners. This book contains about fifteen papers, all refereed, representing the presentations at the workshop. The papers address state-of-the-art techniques in financial engineering."

Handbooks in Operations Research and Management Science: Financial Engineering

Author : John R. Birge
Publisher : Elsevier
ISBN 13 : 9780080553252
Total Pages : 1026 pages
Book Rating : 4.5/5 (532 download)

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Book Synopsis Handbooks in Operations Research and Management Science: Financial Engineering by : John R. Birge

Download or read book Handbooks in Operations Research and Management Science: Financial Engineering written by John R. Birge and published by Elsevier. This book was released on 2007-11-16 with total page 1026 pages. Available in PDF, EPUB and Kindle. Book excerpt: The remarkable growth of financial markets over the past decades has been accompanied by an equally remarkable explosion in financial engineering, the interdisciplinary field focusing on applications of mathematical and statistical modeling and computational technology to problems in the financial services industry. The goals of financial engineering research are to develop empirically realistic stochastic models describing dynamics of financial risk variables, such as asset prices, foreign exchange rates, and interest rates, and to develop analytical, computational and statistical methods and tools to implement the models and employ them to design and evaluate financial products and processes to manage risk and to meet financial goals. This handbook describes the latest developments in this rapidly evolving field in the areas of modeling and pricing financial derivatives, building models of interest rates and credit risk, pricing and hedging in incomplete markets, risk management, and portfolio optimization. Leading researchers in each of these areas provide their perspective on the state of the art in terms of analysis, computation, and practical relevance. The authors describe essential results to date, fundamental methods and tools, as well as new views of the existing literature, opportunities, and challenges for future research.

Generalized Integral Transforms In Mathematical Finance

Author : Andrey Itkin
Publisher : World Scientific
ISBN 13 : 9811231753
Total Pages : 508 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Generalized Integral Transforms In Mathematical Finance by : Andrey Itkin

Download or read book Generalized Integral Transforms In Mathematical Finance written by Andrey Itkin and published by World Scientific. This book was released on 2021-10-12 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes several techniques, first invented in physics for solving problems of heat and mass transfer, and applies them to various problems of mathematical finance defined in domains with moving boundaries. These problems include: (a) semi-closed form pricing of options in the one-factor models with time-dependent barriers (Bachelier, Hull-White, CIR, CEV); (b) analyzing an interconnected banking system in the structural credit risk model with default contagion; (c) finding first hitting time density for a reducible diffusion process; (d) describing the exercise boundary of American options; (e) calculating default boundary for the structured default problem; (f) deriving a semi-closed form solution for optimal mean-reverting trading strategies; to mention but some.The main methods used in this book are generalized integral transforms and heat potentials. To find a semi-closed form solution, we need to solve a linear or nonlinear Volterra equation of the second kind and then represent the option price as a one-dimensional integral. Our analysis shows that these methods are computationally more efficient than the corresponding finite-difference methods for the backward or forward Kolmogorov PDEs (partial differential equations) while providing better accuracy and stability.We extend a large number of known results by either providing solutions on complementary or extended domains where the solution is not known yet or modifying these techniques and applying them to new types of equations, such as the Bessel process. The book contains several novel results broadly applicable in physics, mathematics, and engineering.

Markov Processes, Semigroups and Generators

Author : Vassili N. Kolokoltsov
Publisher : Walter de Gruyter
ISBN 13 : 311025011X
Total Pages : 449 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Markov Processes, Semigroups and Generators by : Vassili N. Kolokoltsov

Download or read book Markov Processes, Semigroups and Generators written by Vassili N. Kolokoltsov and published by Walter de Gruyter. This book was released on 2011-03-29 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Markov processes represent a universal model for a large variety of real life random evolutions. The wide flow of new ideas, tools, methods and applications constantly pours into the ever-growing stream of research on Markov processes that rapidly spreads over new fields of natural and social sciences, creating new streamlined logical paths to its turbulent boundary. Even if a given process is not Markov, it can be often inserted into a larger Markov one (Markovianization procedure) by including the key historic parameters into the state space. This monograph gives a concise, but systematic and self-contained, exposition of the essentials of Markov processes, together with recent achievements, working from the "physical picture" - a formal pre-generator, and stressing the interplay between probabilistic (stochastic differential equations) and analytic (semigroups) tools. The book will be useful to students and researchers. Part I can be used for a one-semester course on Brownian motion, Lévy and Markov processes, or on probabilistic methods for PDE. Part II mainly contains the author's research on Markov processes. From the contents: Tools from Probability and Analysis Brownian motion Markov processes and martingales SDE, ψDE and martingale problems Processes in Euclidean spaces Processes in domains with a boundary Heat kernels for stable-like processes Continuous-time random walks and fractional dynamics Complex chains and Feynman integral

Risk

Author :
Publisher :
ISBN 13 :
Total Pages : 604 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Risk by :

Download or read book Risk written by and published by . This book was released on 2002 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Options - 45 Years Since The Publication Of The Black-scholes-merton Model: The Gershon Fintech Center Conference

Author : David Gershon
Publisher : World Scientific
ISBN 13 : 9811259151
Total Pages : 554 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Options - 45 Years Since The Publication Of The Black-scholes-merton Model: The Gershon Fintech Center Conference by : David Gershon

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.

Frontiers in Quantitative Finance

Author : Rama Cont
Publisher : John Wiley & Sons
ISBN 13 : 0470456809
Total Pages : 312 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Frontiers in Quantitative Finance by : Rama Cont

Download or read book Frontiers in Quantitative Finance written by Rama Cont and published by John Wiley & Sons. This book was released on 2009-03-09 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Petit D'euner de la Finance–which author Rama Cont has been co-organizing in Paris since 1998–is a well-known quantitative finance seminar that has progressively become a platform for the exchange of ideas between the academic and practitioner communities in quantitative finance. Frontiers in Quantitative Finance is a selection of recent presentations in the Petit D'euner de la Finance. In this book, leading quants and academic researchers cover the most important emerging issues in quantitative finance and focus on portfolio credit risk and volatility modeling.

Stochastic Controls

Author : Jiongmin Yong
Publisher : Springer Science & Business Media
ISBN 13 : 1461214661
Total Pages : 459 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Stochastic Controls by : Jiongmin Yong

Download or read book Stochastic Controls written by Jiongmin Yong and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: As is well known, Pontryagin's maximum principle and Bellman's dynamic programming are the two principal and most commonly used approaches in solving stochastic optimal control problems. * An interesting phenomenon one can observe from the literature is that these two approaches have been developed separately and independently. Since both methods are used to investigate the same problems, a natural question one will ask is the fol lowing: (Q) What is the relationship betwccn the maximum principlc and dy namic programming in stochastic optimal controls? There did exist some researches (prior to the 1980s) on the relationship between these two. Nevertheless, the results usually werestated in heuristic terms and proved under rather restrictive assumptions, which were not satisfied in most cases. In the statement of a Pontryagin-type maximum principle there is an adjoint equation, which is an ordinary differential equation (ODE) in the (finite-dimensional) deterministic case and a stochastic differential equation (SDE) in the stochastic case. The system consisting of the adjoint equa tion, the original state equation, and the maximum condition is referred to as an (extended) Hamiltonian system. On the other hand, in Bellman's dynamic programming, there is a partial differential equation (PDE), of first order in the (finite-dimensional) deterministic case and of second or der in the stochastic case. This is known as a Hamilton-Jacobi-Bellman (HJB) equation.

The Complete Guide to Option Pricing Formulas

Author : Espen Gaarder Haug
Publisher : Professional Finance & Investment
ISBN 13 :
Total Pages : 586 pages
Book Rating : 4.3/5 ( download)

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Book Synopsis The Complete Guide to Option Pricing Formulas by : Espen Gaarder Haug

Download or read book The Complete Guide to Option Pricing Formulas written by Espen Gaarder Haug and published by Professional Finance & Investment. This book was released on 2007-01-08 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accompanying CD-ROM contains ... "all pricing formulas, with VBA code and ready-to-use Excel spreadsheets and 3D charts for Greeks (or Option Sensitivities)."--Jacket.

The Efficiency of Dynamic Trading Strategies in Imperfect Markets

Author : Harry M. Kat
Publisher :
ISBN 13 :
Total Pages : 316 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis The Efficiency of Dynamic Trading Strategies in Imperfect Markets by : Harry M. Kat

Download or read book The Efficiency of Dynamic Trading Strategies in Imperfect Markets written by Harry M. Kat and published by . This book was released on 1993 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Markov Processes, Semigroups, and Generators

Author : Vassili N. Kolokoltsov
Publisher : Walter de Gruyter
ISBN 13 : 3110250101
Total Pages : 449 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Markov Processes, Semigroups, and Generators by : Vassili N. Kolokoltsov

Download or read book Markov Processes, Semigroups, and Generators written by Vassili N. Kolokoltsov and published by Walter de Gruyter. This book was released on 2011 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work offers a highly useful, well developed reference on Markov processes, the universal model for random processes and evolutions. The wide range of applications, in exact sciences as well as in other areas like social studies, require a volume that offers a refresher on fundamentals before conveying the Markov processes and examples for

Professional Basketball

Author : United States. Congress. Senate. Committee on the Judiciary. Subcommittee on Antitrust and Monopoly
Publisher :
ISBN 13 :
Total Pages : 1980 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Professional Basketball by : United States. Congress. Senate. Committee on the Judiciary. Subcommittee on Antitrust and Monopoly

Download or read book Professional Basketball written by United States. Congress. Senate. Committee on the Judiciary. Subcommittee on Antitrust and Monopoly and published by . This book was released on 1972 with total page 1980 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Alternative Investments And Strategies

Author : Rudiger Kiesel
Publisher : World Scientific
ISBN 13 : 9814467332
Total Pages : 414 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Alternative Investments And Strategies by : Rudiger Kiesel

Download or read book Alternative Investments And Strategies written by Rudiger Kiesel and published by World Scientific. This book was released on 2010-06-18 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book combines academic research and practical expertise on alternative assets and trading strategies in a unique way. The asset classes that are discussed include: credit risk, cross-asset derivatives, energy, private equity, freight agreements, alternative real assets (ARA), and socially responsible investments (SRI). The coverage on trading and investment strategies are directed at portfolio insurance, especially constant proportion portfolio insurance (CPPI) and constant proportion debt obligation (CPDO) strategies, robust portfolio optimization, and hedging strategies for exotic options.

Option B

Author : Sheryl Sandberg
Publisher : Knopf
ISBN 13 : 1524732699
Total Pages : 241 pages
Book Rating : 4.5/5 (247 download)

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Book Synopsis Option B by : Sheryl Sandberg

Download or read book Option B written by Sheryl Sandberg and published by Knopf. This book was released on 2017-04-24 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: #1 NEW YORK TIMES BEST SELLER • From authors of Lean In and Originals: a powerful, inspiring, and practical book about building resilience and moving forward after life’s inevitable setbacks After the sudden death of her husband, Sheryl Sandberg felt certain that she and her children would never feel pure joy again. “I was in ‘the void,’” she writes, “a vast emptiness that fills your heart and lungs and restricts your ability to think or even breathe.” Her friend Adam Grant, a psychologist at Wharton, told her there are concrete steps people can take to recover and rebound from life-shattering experiences. We are not born with a fixed amount of resilience. It is a muscle that everyone can build. Option B combines Sheryl’s personal insights with Adam’s eye-opening research on finding strength in the face of adversity. Beginning with the gut-wrenching moment when she finds her husband, Dave Goldberg, collapsed on a gym floor, Sheryl opens up her heart—and her journal—to describe the acute grief and isolation she felt in the wake of his death. But Option B goes beyond Sheryl’s loss to explore how a broad range of people have overcome hardships including illness, job loss, sexual assault, natural disasters, and the violence of war. Their stories reveal the capacity of the human spirit to persevere . . . and to rediscover joy. Resilience comes from deep within us and from support outside us. Even after the most devastating events, it is possible to grow by finding deeper meaning and gaining greater appreciation in our lives. Option B illuminates how to help others in crisis, develop compassion for ourselves, raise strong children, and create resilient families, communities, and workplaces. Many of these lessons can be applied to everyday struggles, allowing us to brave whatever lies ahead. Two weeks after losing her husband, Sheryl was preparing for a father-child activity. “I want Dave,” she cried. Her friend replied, “Option A is not available,” and then promised to help her make the most of Option B. We all live some form of Option B. This book will help us all make the most of it.