Principles of Financial Engineering

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Publisher : Academic Press
ISBN 13 : 0080919979
Total Pages : 697 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Principles of Financial Engineering by : Salih N. Neftci

Download or read book Principles of Financial Engineering written by Salih N. Neftci and published by Academic Press. This book was released on 2008-12-09 with total page 697 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles of Financial Engineering, Second Edition, is a highly acclaimed text on the fast-paced and complex subject of financial engineering. This updated edition describes the "engineering" elements of financial engineering instead of the mathematics underlying it. It shows you how to use financial tools to accomplish a goal rather than describing the tools themselves. It lays emphasis on the engineering aspects of derivatives (how to create them) rather than their pricing (how they act) in relation to other instruments, the financial markets, and financial market practices. This volume explains ways to create financial tools and how the tools work together to achieve specific goals. Applications are illustrated using real-world examples. It presents three new chapters on financial engineering in topics ranging from commodity markets to financial engineering applications in hedge fund strategies, correlation swaps, structural models of default, capital structure arbitrage, contingent convertibles, and how to incorporate counterparty risk into derivatives pricing. Poised midway between intuition, actual events, and financial mathematics, this book can be used to solve problems in risk management, taxation, regulation, and above all, pricing. This latest edition of Principles of Financial Engineering is ideal for financial engineers, quantitative analysts in banks and investment houses, and other financial industry professionals. It is also highly recommended to graduate students in financial engineering and financial mathematics programs. The Second Edition presents 5 new chapters on structured product engineering, credit markets and instruments, and principle protection techniques, among other topics Additions, clarifications, and illustrations throughout the volume show these instruments at work instead of explaining how they should act The Solutions Manual enhances the text by presenting additional cases and solutions to exercises

Principles of Financial Engineering

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Author :
Publisher : Academic Press
ISBN 13 : 0123870070
Total Pages : 896 pages
Book Rating : 4.1/5 (238 download)

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Book Synopsis Principles of Financial Engineering by : Robert Kosowski

Download or read book Principles of Financial Engineering written by Robert Kosowski and published by Academic Press. This book was released on 2014-11-26 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles of Financial Engineering, Third Edition, is a highly acclaimed text on the fast-paced and complex subject of financial engineering. This updated edition describes the "engineering" elements of financial engineering instead of the mathematics underlying it. It shows how to use financial tools to accomplish a goal rather than describing the tools themselves. It lays emphasis on the engineering aspects of derivatives (how to create them) rather than their pricing (how they act) in relation to other instruments, the financial markets, and financial market practices. This volume explains ways to create financial tools and how the tools work together to achieve specific goals. Applications are illustrated using real-world examples. It presents three new chapters on financial engineering in topics ranging from commodity markets to financial engineering applications in hedge fund strategies, correlation swaps, structural models of default, capital structure arbitrage, contingent convertibles, and how to incorporate counterparty risk into derivatives pricing. Poised midway between intuition, actual events, and financial mathematics, this book can be used to solve problems in risk management, taxation, regulation, and above all, pricing. A solutions manual enhances the text by presenting additional cases and solutions to exercises. This latest edition of Principles of Financial Engineering is ideal for financial engineers, quantitative analysts in banks and investment houses, and other financial industry professionals. It is also highly recommended to graduate students in financial engineering and financial mathematics programs. The Third Edition presents three new chapters on financial engineering in commodity markets, financial engineering applications in hedge fund strategies, correlation swaps, structural models of default, capital structure arbitrage, contingent convertibles and how to incorporate counterparty risk into derivatives pricing, among other topics. Additions, clarifications, and illustrations throughout the volume show these instruments at work instead of explaining how they should act The solutions manual enhances the text by presenting additional cases and solutions to exercises

Machine Learning for Financial Engineering

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Author :
Publisher : World Scientific
ISBN 13 : 1848168136
Total Pages : 261 pages
Book Rating : 4.8/5 (481 download)

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Book Synopsis Machine Learning for Financial Engineering by : György Ottucsák

Download or read book Machine Learning for Financial Engineering written by György Ottucsák and published by World Scientific. This book was released on 2012 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preface v 1 On the History of the Growth-Optimal Portfolio M.M. Christensen 1 2 Empirical Log-Optimal Portfolio Selections: A Survey L. Györfi Gy. Ottucsáak A. Urbán 81 3 Log-Optimal Portfolio-Selection Strategies with Proportional Transaction Costs L. Györfi H. Walk 119 4 Growth-Optimal Portfoho Selection with Short Selling and Leverage M. Horváth A. Urbán 153 5 Nonparametric Sequential Prediction of Stationary Time Series L. Györfi Gy. Ottucsák 179 6 Empirical Pricing American Put Options L. Györfi A. Telcs 227 Index 249.

Recent Advances in Financial Engineering 2012

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Publisher : World Scientific
ISBN 13 : 9814571652
Total Pages : 208 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Recent Advances in Financial Engineering 2012 by : Akihiko Takahashi

Download or read book Recent Advances in Financial Engineering 2012 written by Akihiko Takahashi and published by World Scientific. This book was released on 2014-02-24 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent Advances in Financial Engineering 2012 is the Proceedings of the International Workshop on Finance 2012, which was held at the University of Tokyo on October 30 and 31, 2012. 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 (TMU). This annual workshop, which was first held in 2011, is a successor to the Daiwa International Workshop (2004 to 2008) and the KIER–TMU International Workshop (2009 to 2010). The workshop was designed for the exchange of new ideas in financial engineering and to serves as a bridge between academic researchers and practitioners. To these ends, the speakers shared various interesting ideas, information on new methods, and their up-to-date research results. In the 2012 workshop, we invited nine leading scholars, including three keynote speakers, from various countries, and the two-day workshop resulted in many fruitful discussions. The book consists of eight papers, all refereed, that were related to the presentations at the International Workshop on Finance 2012. In these papers, the latest concepts, methods, and techniques related to current topics in financial engineering are proposed and reviewed. Contents:Forward Prices in Markets Driven by Continuous-Time Autoregressive Processes (F E Benth & S A S Blanco)A Bottom-Up Dynamic Model of Portfolio Credit Risk. Part I: Markov Copula Perspective (T R Bielecki, A Cousin, S Crépey, A Herbertsson)A Bottom-Up Dynamic Model of Portfolio Credit Risk. Part II: Common-Shock Interpretation, Calibration and Hedging Issues (T R Bielecki, A Cousin, S Crépey, A Herbertsson)On the Limit Behavior of Option Hedging Sets Under Transaction Costs (J Grépat)Optimal Execution for Uncertain Market Impact: Derivation and Characterization of a Continuous-Time Value Function (K Ishitani and T Kato)Optimal Investment Timing and Volume Decisions Under Debt Borrowing Constraints (T Shibata and M Nishihara)Fractional Brownian Motions in Financial Models and Their Monte Carlo Simulation (C M Tam)Mean-Variance Pre-Commitment Policies Revisited Via a Mean-Field Technique (A Bensoussan, K C Wong, S C P Yam) Readership: Graduate and postgraduate students of financial engineering and mathematical finance; academics and practitioners; quantitative researchers on financial markets. Keywords:Financial Engineering;Mathematical Finance;Money & Banking;Risk Management;Real Option;Corporate Finance;Computational Finance

Recent Advances in Financial Engineering

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Author :
Publisher : World Scientific
ISBN 13 : 9814273473
Total Pages : 243 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Recent Advances in Financial Engineering by : Masaaki Kijima

Download or read book Recent Advances in Financial Engineering written by Masaaki Kijima and published by World Scientific. This book was released on 2009 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 2008 Daiwa International Workshop on Financial Engineering held in Tokyo. The annual workshop is sponsored by the Daiwa Securities Group, and serves as a bridge between leading academics and practitioners in the field. This year, the papers presented at the workshop have been refereed and published in a single volume to commemorate the 60th birthday of Professor Yuri Kabanov, and to thank him for his contributions to the progress of mathematical finance in general, and the Daiwa International Workshop in particular. The book caters to academics and practitioners as well as graduate and postgraduate students of financial engineering. Quantitative researchers on financial markets will also find it a useful resource.

Recent Advances in Financial Engineering

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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.

Recent Advances in Financial Engineering 2014

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Publisher : World Scientific
ISBN 13 : 9814730777
Total Pages : 237 pages
Book Rating : 4.8/5 (147 download)

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Book Synopsis Recent Advances in Financial Engineering 2014 by : Masaaki Kijima

Download or read book Recent Advances in Financial Engineering 2014 written by Masaaki Kijima and published by World Scientific. This book was released on 2016 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Since 2004, the Tokyo Metropolitan University (TMU) has been conducting workshops that serve as a forum for academic researchers and practitioners to exchange ideas and developments in different fields of finance. This book is based on papers presented at the 2014 workshop held in Tokyo, on 6-7 November, 2014. The chapters address state-of-the-art techniques in mathematical finance and financial engineering. The authors share ideas and information on new methods and up-to-date results of their research in these fields. This book is a must-read for researchers, practitioners, and graduate students in the fields of mathematical finance, quantitative finance and financial engineering."--Provided by publisher.

Recent Advances in Financial Engineering 2009

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Publisher :
ISBN 13 : 9814465224
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Recent Advances in Financial Engineering 2009 by :

Download or read book Recent Advances in Financial Engineering 2009 written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Recent Advances in Commodity and Financial Modeling

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Author :
Publisher : Springer
ISBN 13 : 3319613200
Total Pages : 320 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Handbook of Recent Advances in Commodity and Financial Modeling by : Giorgio Consigli

Download or read book Handbook of Recent Advances in Commodity and Financial Modeling written by Giorgio Consigli and published by Springer. This book was released on 2017-09-30 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook includes contributions related to optimization, pricing and valuation problems, risk modeling and decision making problems arising in global financial and commodity markets from the perspective of Operations Research and Management Science. The book is structured in three parts, emphasizing common methodological approaches arising in the areas of interest: - Part I: Optimization techniques - Part II: Pricing and Valuation - Part III: Risk Modeling The book presents to a wide community of Academics and Practitioners a selection of theoretical and applied contributions on topics that have recently attracted increasing interest in commodity and financial markets. Within a structure based on the three parts, it presents recent state-of-the-art and original works related to: - The adoption of multi-criteria and dynamic optimization approaches in financial and insurance markets in presence of market stress and growing systemic risk; - Decision paradigms, based on behavioral finance or factor-based, or more classical stochastic optimization techniques, applied to portfolio selection problems including new asset classes such as alternative investments; - Risk measurement methodologies, including model risk assessment, recently applied to energy spot and future markets and new risk measures recently proposed to evaluate risk-reward trade-offs in global financial and commodity markets; and derivatives portfolio hedging and pricing methods recently put forward in the financial community in the aftermath of the global financial crisis.

Advances in Mathematical Finance

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Publisher : Springer Science & Business Media
ISBN 13 : 0817645454
Total Pages : 336 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Advances in Mathematical Finance by : Michael C. Fu

Download or read book Advances in Mathematical Finance written by Michael C. Fu and published by Springer Science & Business Media. This book was released on 2007-06-22 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained volume brings together a collection of chapters by some of the most distinguished researchers and practitioners in the field of mathematical finance and financial engineering. Presenting state-of-the-art developments in theory and practice, the book has real-world applications to fixed income models, credit risk models, CDO pricing, tax rebates, tax arbitrage, and tax equilibrium. It is a valuable resource for graduate students, researchers, and practitioners in mathematical finance and financial engineering.

Recent Advances in Financial Engineering 2011

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Publisher : World Scientific
ISBN 13 : 9814407348
Total Pages : 232 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Recent Advances in Financial Engineering 2011 by : Akihiko Takahashi

Download or read book Recent Advances in Financial Engineering 2011 written by Akihiko Takahashi and published by World Scientific. This book was released on 2012-05-21 with total page 232 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. Contents:On the Representation of General Interest Rate Models as Square-Integrable Wiener Functionals (L P Hughston and F Mina)On Pricing Contingent Capital Notes (D B Madan)A Survey on Modeling and Analysis of Basis Spreads (M Fujii and A Takahashi)Conservative Delta Hedging Under Transaction Costs (M Fukasawa)The Theory of Optimal Investment in Information Security and Adjustment Costs: An Impulse Control Approach (M Goto and K Tatsumi)Strategic Investment with Three Asymmetric Firms (S Ko and T Shibata)An Empirical Analysis of Japanese Interest Rate Swap Spread (J Shimada, T Takahashi, T Miyakoshi, and Y Tsukuda)A Remark on Approximation of the Solutions to Partial Differential Equations in Finance (A Takahashi and T Yamada)Optimal Trading with Cointegrated Pairs of Stocks (Y Yamada and J A Primbs)Analytical Approximation of Pricing Average Options under the Heston Model (A Yamazaki) Readership: Graduate and postgraduate students of financial engineering and mathematical finance; academics and practitioners; quantitative researchers on financial markets. Keywords:Financial Engineering;Mathematical Finance;Money & Banking;Risk Management;Real Option;Corporate Finance;Computational FinanceKey Features:Wide coverage of the research themesMost up-to-date research resultsResearch straddling academia and industryAddresses state-of-the-art techniques in financial engineering

Recent Advances In Financial Engineering - Proceedings Of The 2008 Daiwa International Workshop On Financial Engineering

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (748 download)

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Book Synopsis Recent Advances In Financial Engineering - Proceedings Of The 2008 Daiwa International Workshop On Financial Engineering by :

Download or read book Recent Advances In Financial Engineering - Proceedings Of The 2008 Daiwa International Workshop On Financial Engineering written by and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Recent Advances in Financial Engineering 2010

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Author :
Publisher : World Scientific
ISBN 13 : 9814458244
Total Pages : 260 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Recent Advances in Financial Engineering 2010 by : Masaaki Kijima

Download or read book Recent Advances in Financial Engineering 2010 written by Masaaki Kijima and published by World Scientific. This book was released on 2011-06-17 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the KIER-TMU International Workshop on Financial Engineering 2010, which was held in Tokyo, in order to exchange new ideas in financial engineering among industry professionals and researchers from various countries. It has been held for two consecutive years since 2009, as a successor to the Daiwa International Workshop, which was held from 2004 to 2008, and is organized by the Institute of Economic Research of Kyoto University (KIER) and the Graduate School of Social Sciences of Tokyo Metropolitan University (TMU). The workshop serves as a bridge between academic researchers and practitioners. This book consists of eleven papers — all refereed — representing or related to the presentations at the workshop. The papers address state-of-the-art techniques in financial engineering. The Proceedings of the 2009 workshop was also published by World Scientific Publishing. Contents:The Distribution of Returns at Longer Horizons (E Eberlein & D B Madan)Two Examples of an Insider with Medium/Long Term Effects on the Underlying (H Hata & A Kohatsu-Higa)A Note on the Risk Management of CDOs (J-P Laurent)Robust No Arbitrage Condition for Continuous-time Models with Transaction Cost (E Denis)Modeling of Interest-Rate Term Structures under Collateralization and Its Implications (M Fujii & A Takahashi)On the State Variables for Optimal Portfolio Strategies in the Japanese Market (S Kamimura)The Diversity of Information Acquisition Strategies in a Noisy REE Model with a Common Signal and Independent Signals (S Kawanishi)Option Pricing with a Regime-Switching Lévy Model (C C Siu)An Empirical Analysis of Equity Market Expectations in the Financial Turmoil Using Implied Moments and Jump Diffusion Processes (Y Sugihara & N Oda)Investor Characteristics and Portfolio Value (N Takezawa)Optimal Hedging with Additive Models (Y Yamada) Readership: Students, professionals, workshop participants, organizations and societies focused on finance or operations research. Keywords:Operations Research;Financial Engineering;Management;Mathematical Modeling;Credit Risk;Real Options;Optimal Investment;Heterogeneous BeliefsKey Features:Wide coverage of the research themesContains the most updated research resultsNumerous global contributions

Advances in Financial Machine Learning

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Publisher : John Wiley & Sons
ISBN 13 : 1119482119
Total Pages : 400 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Advances in Financial Machine Learning by : Marcos Lopez de Prado

Download or read book Advances in Financial Machine Learning written by Marcos Lopez de Prado and published by John Wiley & Sons. This book was released on 2018-01-23 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Machine learning (ML) is changing virtually every aspect of our lives. Today ML algorithms accomplish tasks that until recently only expert humans could perform. As it relates to finance, this is the most exciting time to adopt a disruptive technology that will transform how everyone invests for generations. Readers will learn how to structure Big data in a way that is amenable to ML algorithms; how to conduct research with ML algorithms on that data; how to use supercomputing methods; how to backtest your discoveries while avoiding false positives. The book addresses real-life problems faced by practitioners on a daily basis, and explains scientifically sound solutions using math, supported by code and examples. Readers become active users who can test the proposed solutions in their particular setting. Written by a recognized expert and portfolio manager, this book will equip investment professionals with the groundbreaking tools needed to succeed in modern finance.

Recent Advances in Financial Engineering 2014

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Publisher : World Scientific
ISBN 13 : 9814730785
Total Pages : 236 pages
Book Rating : 4.8/5 (147 download)

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Book Synopsis Recent Advances in Financial Engineering 2014 by : Masaaki Kijima

Download or read book Recent Advances in Financial Engineering 2014 written by Masaaki Kijima and published by World Scientific. This book was released on 2016-02-29 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since 2004, the Tokyo Metropolitan University (TMU) has been conducting workshops that serve as a forum for academic researchers and practitioners to exchange ideas and developments in different fields of finance. This book is based on papers presented at the 2014 workshop held in Tokyo, on 6–7 November, 2014. The chapters address state-of-the-art techniques in mathematical finance and financial engineering. The authors share ideas and information on new methods and up-to-date results of their research in these fields. This book is a must-read for researchers, practitioners, and graduate students in the fields of mathematical finance, quantitative finance and financial engineering. Contents: Moment Properties of Probability Distributions Used in Stochastic Financial Models (J Stoyanov)An Equilibrium Approach to Indifference Pricing with Model Uncertainty (M H A Davis and D Yoshikawa)Volume Imbalance and Market Making (Á Cartea, R. Donnelly and S Jaimungal)Optimal Short-Covering with Regime Switching (T K. Chung)Effects of Reversibility on Investment Timing and Quantity Under Asymmetric Information (X Cui and T. Shibata)Quadratic Gaussian Joint Pricing Model for Stocks and Bonds: Theory and Empirical Analysis (K Kikuchi)Option Pricing with Ambiguous Correlation and Fast Mean-reverting Volatilities (M H Leung and H Y Wong)Callable Stock Loans (C C Siu, S C P Yam and W Zhou)Cash Management and Control Band Policies for Spectrally One-sided Lévy Processes (K Yamazaki)A Second-order Monotone Modification of the Sharpe Ratio (M Zhitlukhin) Readership: Graduate students, researchers and practitioners of financial engineering and mathematical finance. Key Features:Contains cutting-edge research in financial engineeringServes as a bridge between academic researchers and practitionersKeywords:Financial Engineering;Mathematical Finance;Money & Banking;Risk Management;Real Option;Corporate Finance;Computational Finance

Recent Advances In Financial Engineering - Proceedings Of The 2008 Daiwa International Workshop On Financial Engineering

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Author :
Publisher : World Scientific
ISBN 13 : 981446791X
Total Pages : 244 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Recent Advances In Financial Engineering - Proceedings Of The 2008 Daiwa International Workshop On Financial Engineering by : Masaaki Kijima

Download or read book Recent Advances In Financial Engineering - Proceedings Of The 2008 Daiwa International Workshop On Financial Engineering written by Masaaki Kijima and published by World Scientific. This book was released on 2009-06-02 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 2008 Daiwa International Workshop on Financial Engineering held in Tokyo. The annual workshop is sponsored by the Daiwa Securities Group, and serves as a bridge between leading academics and practitioners in the field. This year, the papers presented at the workshop have been refereed and published in a single volume to commemorate the 60th birthday of Professor Yuri Kabanov, and to thank him for his contributions to the progress of mathematical finance in general, and the Daiwa International Workshop in particular. The book caters to academics and practitioners as well as graduate and postgraduate students of financial engineering. Quantitative researchers on financial markets will also find it a useful resource.

Handbook of Financial Engineering

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387766820
Total Pages : 494 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Handbook of Financial Engineering by : Constantin Zopounidis

Download or read book Handbook of Financial Engineering written by Constantin Zopounidis and published by Springer Science & Business Media. This book was released on 2010-07-25 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive handbook discusses the most recent advances within the field of financial engineering, focusing not only on the description of the existing areas in financial engineering research, but also on the new methodologies that have been developed for modeling and addressing financial engineering problems. The book is intended for financial engineers, researchers, applied mathematicians, and graduate students interested in real-world applications to financial engineering.