Change Of Time Methods In Quantitative Finance
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Change Of Time Methods In Quantitative Finance
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Author : Anatoliy Swishchuk
language : en
Publisher: Springer
Release Date : 2016-05-31
Change Of Time Methods In Quantitative Finance written by Anatoliy Swishchuk and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-31 with Mathematics categories.
This book is devoted to the history of Change of Time Methods (CTM), the connections of CTM to stochastic volatilities and finance, fundamental aspects of the theory of CTM, basic concepts, and its properties. An emphasis is given on many applications of CTM in financial and energy markets, and the presented numerical examples are based on real data. The change of time method is applied to derive the well-known Black-Scholes formula for European call options, and to derive an explicit option pricing formula for a European call option for a mean-reverting model for commodity prices. Explicit formulas are also derived for variance and volatility swaps for financial markets with a stochastic volatility following a classical and delayed Heston model. The CTM is applied to price financial and energy derivatives for one-factor and multi-factor alpha-stable Levy-based models. Readers should have a basic knowledge of probability and statistics, and some familiarity with stochastic processes, such as Brownian motion, Levy process and martingale.
Change Of Time And Change Of Measure
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Author : Ole E Barndorff-nielsen
language : en
Publisher: World Scientific Publishing Company
Release Date : 2010-11-04
Change Of Time And Change Of Measure written by Ole E Barndorff-nielsen and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-04 with Business & Economics categories.
Change of Time and Change of Measure provides a comprehensive account of two topics that are of particular significance in both theoretical and applied stochastics: random change of time and change of probability law.Random change of time is key to understanding the nature of various stochastic processes, and gives rise to interesting mathematical results and insights of importance for the modeling and interpretation of empirically observed dynamic processes. Change of probability law is a technique for solving central questions in mathematical finance, and also has a considerable role in insurance mathematics, large deviation theory, and other fields.The book comprehensively collects and integrates results from a number of scattered sources in the literature and discusses the importance of the results relative to the existing literature, particularly with regard to mathematical finance. It is invaluable as a textbook for graduate-level courses and students or a handy reference for researchers and practitioners in financial mathematics and econometrics.
Implementing Models In Quantitative Finance Methods And Cases
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Author : Gianluca Fusai
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-20
Implementing Models In Quantitative Finance Methods And Cases written by Gianluca Fusai and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-20 with Business & Economics categories.
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.
Modeling And Pricing Of Swaps For Financial And Energy Markets With Stochastic Volatilities
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Author : Anatoliy Swishchuk
language : en
Publisher: World Scientific
Release Date : 2013-06-03
Modeling And Pricing Of Swaps For Financial And Energy Markets With Stochastic Volatilities written by Anatoliy Swishchuk and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-03 with Business & Economics categories.
Modeling and Pricing of Swaps for Financial and Energy Markets with Stochastic Volatilities is devoted to the modeling and pricing of various kinds of swaps, such as those for variance, volatility, covariance, correlation, for financial and energy markets with different stochastic volatilities, which include CIR process, regime-switching, delayed, mean-reverting, multi-factor, fractional, Levy-based, semi-Markov and COGARCH(1,1). One of the main methods used in this book is change of time method. The book outlines how the change of time method works for different kinds of models and problems arising in financial and energy markets and the associated problems in modeling and pricing of a variety of swaps. The book also contains a study of a new model, the delayed Heston model, which improves the volatility surface fitting as compared with the classical Heston model. The author calculates variance and volatility swaps for this model and provides hedging techniques. The book considers content on the pricing of variance and volatility swaps and option pricing formula for mean-reverting models in energy markets. Some topics such as forward and futures in energy markets priced by multi-factor Levy models and generalization of Black-76 formula with Markov-modulated volatility are part of the book as well, and it includes many numerical examples such as S&P60 Canada Index, S&P500 Index and AECO Natural Gas Index.
Handbook Of Quantitative Finance And Risk Management
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Author : Cheng-Few Lee
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-06-14
Handbook Of Quantitative Finance And Risk Management written by Cheng-Few Lee and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-14 with Business & Economics categories.
Quantitative finance is a combination of economics, accounting, statistics, econometrics, mathematics, stochastic process, and computer science and technology. Increasingly, the tools of financial analysis are being applied to assess, monitor, and mitigate risk, especially in the context of globalization, market volatility, and economic crisis. This two-volume handbook, comprised of over 100 chapters, is the most comprehensive resource in the field to date, integrating the most current theory, methodology, policy, and practical applications. Showcasing contributions from an international array of experts, the Handbook of Quantitative Finance and Risk Management is unparalleled in the breadth and depth of its coverage. Volume 1 presents an overview of quantitative finance and risk management research, covering the essential theories, policies, and empirical methodologies used in the field. Chapters provide in-depth discussion of portfolio theory and investment analysis. Volume 2 covers options and option pricing theory and risk management. Volume 3 presents a wide variety of models and analytical tools. Throughout, the handbook offers illustrative case examples, worked equations, and extensive references; additional features include chapter abstracts, keywords, and author and subject indices. From "arbitrage" to "yield spreads," the Handbook of Quantitative Finance and Risk Management will serve as an essential resource for academics, educators, students, policymakers, and practitioners.
Copulae In Mathematical And Quantitative Finance
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Author : Piotr Jaworski
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-18
Copulae In Mathematical And Quantitative Finance written by Piotr Jaworski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-18 with Business & Economics categories.
Copulas are mathematical objects that fully capture the dependence structure among random variables and hence offer great flexibility in building multivariate stochastic models. Since their introduction in the early 1950s, copulas have gained considerable popularity in several fields of applied mathematics, especially finance and insurance. Today, copulas represent a well-recognized tool for market and credit models, aggregation of risks, and portfolio selection. Historically, the Gaussian copula model has been one of the most common models in credit risk. However, the recent financial crisis has underlined its limitations and drawbacks. In fact, despite their simplicity, Gaussian copula models severely underestimate the risk of the occurrence of joint extreme events. Recent theoretical investigations have put new tools for detecting and estimating dependence and risk (like tail dependence, time-varying models, etc) in the spotlight. All such investigations need to be further developed and promoted, a goal this book pursues. The book includes surveys that provide an up-to-date account of essential aspects of copula models in quantitative finance, as well as the extended versions of talks selected from papers presented at the workshop in Cracow.
Advanced Mathematical Methods For Finance
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Author : Julia Di Nunno
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-03-29
Advanced Mathematical Methods For Finance written by Julia Di Nunno and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-29 with Mathematics categories.
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.
Quantitative Analysis In Financial Markets
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Author : Marco Avellaneda
language : en
Publisher: World Scientific
Release Date : 1999
Quantitative Analysis In Financial Markets written by Marco Avellaneda and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
Contains lectures presented at the Courant Institute's Mathematical Finance Seminar.
A Workout In Computational Finance With Website
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Author : Andreas Binder
language : en
Publisher: John Wiley & Sons
Release Date : 2013-09-23
A Workout In Computational Finance With Website written by Andreas Binder and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-23 with Business & Economics categories.
A comprehensive introduction to various numerical methods used in computational finance today Quantitative skills are a prerequisite for anyone working in finance or beginning a career in the field, as well as risk managers. A thorough grounding in numerical methods is necessary, as is the ability to assess their quality, advantages, and limitations. This book offers a thorough introduction to each method, revealing the numerical traps that practitioners frequently fall into. Each method is referenced with practical, real-world examples in the areas of valuation, risk analysis, and calibration of specific financial instruments and models. It features a strong emphasis on robust schemes for the numerical treatment of problems within computational finance. Methods covered include PDE/PIDE using finite differences or finite elements, fast and stable solvers for sparse grid systems, stabilization and regularization techniques for inverse problems resulting from the calibration of financial models to market data, Monte Carlo and Quasi Monte Carlo techniques for simulating high dimensional systems, and local and global optimization tools to solve the minimization problem.
Theories Of Change
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Author : Karen Wendt
language : en
Publisher: Springer Nature
Release Date : 2021-05-07
Theories Of Change written by Karen Wendt and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-07 with Business & Economics categories.
Today, it has become strikingly obvious that companies no longer operate in an environment where only risk return and volatility describe the business environment. The business has to deal with volatility plus uncertainty, plus complexity and ambiguity (VUCA): that requires new qualities, competencies, frameworks; and it demands a new mind set to deal with the VUCA environment in investment, funding and financing. This book builds on a new megatrend beyond resilience, called anti-fragility. We have had the black swan (financial crisis) and the red swan (COVID) - the Bank for International Settlement is preparing for regenerative capitalism, block chain based analysis of financial streams and is aiming to prevent the “Green Swan” – the climate crisis to lead to the next lockdown. In the light of the UN 17 Sustainable Development Goals, what is required, is Theories of Change. Written by experts working in the fields of sustainable finance, impact investing, development finance, carbon divesting, innovation, scaling finance, impact entrepreneurship, social stock exchanges, alternative currencies, Initial Coin Offerings (ICOs), ledger technologies, civil action, co-creation, impact management, deep learning and transformation leadership, the book begins by analysing existing Theories of Change frameworks from various disciplines and creating a new integrated model – the meta-framework. In turn, it presents insights on creating and using Theories of Change to redirect investment capital to sustainable companies while implementing the Sustainable Development Goals and the Paris Climate Agreement. Further, it discusses the perspective of planetary boundaries as defined by the Stockholm Resilience Institute, and investigates various aspects of systems, organizations, entrepreneurship, investment and finance that are closely tied to the mission ingrained in the Theory of Change. As it demonstrates, solutions that ensure the parity of profit, people and planet through dynamic change can effectively address the needs of entrepreneurs and business. By exploring these concepts and their application, the book helps create and shape new markets and opportunities.