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Implementing Models in Quantitative Finance: Methods and Cases
Buch von Andrea Roncoroni (u. a.)
Sprache: Englisch

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Introduction This book presents and develops major numerical methods currently used for solving problems arising in quantitative ?nance. Our presentation splits into two parts. Part I is methodological, and offers a comprehensive toolkit on numerical me- ods and algorithms. This includes Monte Carlo simulation, numerical schemes for partial differential equations, stochastic optimization in discrete time, copula fu- tions, transform-based methods and quadrature techniques. Part II is practical, and features a number of self-contained cases. Each case introduces a concrete problem and offers a detailed, step-by-step solution. Computer code that implements the cases and the resulting output is also included. The cases encompass a wide variety of quantitative issues arising in markets for equity, interest rates, credit risk, energy and exotic derivatives. The corresponding problems cover model simulation, derivative valuation, dynamic hedging, portfolio selection, risk management, statistical estimation and model calibration. R We provide algorithms implemented using either Matlab or Visual Basic for R Applications (VBA). Several codes are made available through a link accessible from the Editor¿s web site. Origin Necessity is the mother of invention and, as such, the present work originates in class notes and problems developed for the courses ¿Numerical Methods in Finance¿ and ¿Exotic Derivatives¿ offered by the authors at Bocconi University within the Master in Quantitative Finance and Insurance program (from 2000¿2001 to 2003¿2004) and the Master of Quantitative Finance and Risk Management program (2004¿2005 to present).
Introduction This book presents and develops major numerical methods currently used for solving problems arising in quantitative ?nance. Our presentation splits into two parts. Part I is methodological, and offers a comprehensive toolkit on numerical me- ods and algorithms. This includes Monte Carlo simulation, numerical schemes for partial differential equations, stochastic optimization in discrete time, copula fu- tions, transform-based methods and quadrature techniques. Part II is practical, and features a number of self-contained cases. Each case introduces a concrete problem and offers a detailed, step-by-step solution. Computer code that implements the cases and the resulting output is also included. The cases encompass a wide variety of quantitative issues arising in markets for equity, interest rates, credit risk, energy and exotic derivatives. The corresponding problems cover model simulation, derivative valuation, dynamic hedging, portfolio selection, risk management, statistical estimation and model calibration. R We provide algorithms implemented using either Matlab or Visual Basic for R Applications (VBA). Several codes are made available through a link accessible from the Editor¿s web site. Origin Necessity is the mother of invention and, as such, the present work originates in class notes and problems developed for the courses ¿Numerical Methods in Finance¿ and ¿Exotic Derivatives¿ offered by the authors at Bocconi University within the Master in Quantitative Finance and Insurance program (from 2000¿2001 to 2003¿2004) and the Master of Quantitative Finance and Risk Management program (2004¿2005 to present).
Über den Autor

Gianluca Fusai is Associate Professor in Financial Calculus at Università degli Studi del Piemonte Orientale (Italy) and a Research Associate at Financial Options Research Center, Univeristy of Warwick. He holds a Ph.D in Finance from the Warwick Business School and a MS in Statistics and Operational Research from University of Essex, UK. His research interest are Financial Engineering, Numerical Methods, Portfolio Selection, and Financial Statistics. On this topics he has published in journals like Journal of Computational Finance, Risk, Annals of Applied Probability, International Journal of Theoretical and Applied Finance. He has worked as a consultant in the private sector (Mediolanum Assicurazioni, Selenia Luxco, Nike Consulting, Software Company, Equitable House).

Andrea Roncoroni is Associate Professor of Finance at ESSEC Business School (Paris-Singapore), Senior Lecturer at Bocconi University (Milan), and Co-director of the Master in Energy Finance at MIP - Politecnico di Milano. He holds PhDs in Applied Mathematics and in Finance. His research interests cover Energy and Commodity Finance, Financial Modeling, Risk Management and Derivative Structuring. He consults for private companies and lectures for private and public institutions (International Energy Agency, Italian Stock Exchange, Italian Energy Authority, Italian Power Exchange, University Paris Dauphine, University of Oslo). He regularly publishes in academic journals (J.of Business, J.of Banking and Finance, Intl.J.of Business).

Zusammenfassung

This book puts numerical methods in action for the purpose of solving practical problems in quantitative finance. It fills a gap in the current published literature by delivering a case-study collection together with a self-contained course on major numerical methods developed and used by the finance industry. The book originates from class notes and case studies developed within a course on numerical methods in finance held by the authors at Bocconi University. The first part develops a toolkit in numerical methods for finance (Monte Carlo, PDE, Stochastic Optimization, Copula, Econometrics). The second part proposes twenty self-contained cases covering model simulation, asset pricing and hedging, risk management, statistical estimation and model calibration.

Inhaltsverzeichnis
Methods.- Static Monte Carlo.- Dynamic Monte Carlo.- Dynamic Programming for Stochastic Optimization.- Finite Difference Methods.- Numerical Solution of Linear Systems.- Quadrature Methods.- The Laplace Transform.- Structuring Dependence using Copula Functions.- Problems.- Portfolio Selection: "Optimizing" an Error.- Alpha, Beta and Beyond.- Automatic Trading: Winning or Losing in a kBit.- Estimating the Risk-Neutral Density.- An "American" Monte Carlo.- Fixing Volatile Volatility.- An Average Problem.- Quasi-Monte Carlo: An Asian Bet.- Lookback Options: A Discrete Problem.- Electrifying the Price of Power.- A Sparkling Option.- Swinging on a Tree.- Floating Mortgages.- Basket Default Swaps.- Scenario Simulation Using Principal Components.- Parametric Estimation of Jump-Diffusions.- Nonparametric Estimation of Jump-Diffusions.- A Smiling GARCH.
Details
Erscheinungsjahr: 2008
Fachbereich: Betriebswirtschaft
Genre: Wirtschaft
Rubrik: Recht & Wirtschaft
Medium: Buch
Seiten: 632
Reihe: Springer Finance
Inhalt: xxiii
607 S.
ISBN-13: 9783540223481
ISBN-10: 3540223487
Sprache: Englisch
Herstellernummer: 10996928
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Roncoroni, Andrea
Fusai, Gianluca
Auflage: 2008
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Springer Finance
Maße: 241 x 160 x 43 mm
Von/Mit: Andrea Roncoroni (u. a.)
Erscheinungsdatum: 17.01.2008
Gewicht: 1,219 kg
preigu-id: 102428948
Über den Autor

Gianluca Fusai is Associate Professor in Financial Calculus at Università degli Studi del Piemonte Orientale (Italy) and a Research Associate at Financial Options Research Center, Univeristy of Warwick. He holds a Ph.D in Finance from the Warwick Business School and a MS in Statistics and Operational Research from University of Essex, UK. His research interest are Financial Engineering, Numerical Methods, Portfolio Selection, and Financial Statistics. On this topics he has published in journals like Journal of Computational Finance, Risk, Annals of Applied Probability, International Journal of Theoretical and Applied Finance. He has worked as a consultant in the private sector (Mediolanum Assicurazioni, Selenia Luxco, Nike Consulting, Software Company, Equitable House).

Andrea Roncoroni is Associate Professor of Finance at ESSEC Business School (Paris-Singapore), Senior Lecturer at Bocconi University (Milan), and Co-director of the Master in Energy Finance at MIP - Politecnico di Milano. He holds PhDs in Applied Mathematics and in Finance. His research interests cover Energy and Commodity Finance, Financial Modeling, Risk Management and Derivative Structuring. He consults for private companies and lectures for private and public institutions (International Energy Agency, Italian Stock Exchange, Italian Energy Authority, Italian Power Exchange, University Paris Dauphine, University of Oslo). He regularly publishes in academic journals (J.of Business, J.of Banking and Finance, Intl.J.of Business).

Zusammenfassung

This book puts numerical methods in action for the purpose of solving practical problems in quantitative finance. It fills a gap in the current published literature by delivering a case-study collection together with a self-contained course on major numerical methods developed and used by the finance industry. The book originates from class notes and case studies developed within a course on numerical methods in finance held by the authors at Bocconi University. The first part develops a toolkit in numerical methods for finance (Monte Carlo, PDE, Stochastic Optimization, Copula, Econometrics). The second part proposes twenty self-contained cases covering model simulation, asset pricing and hedging, risk management, statistical estimation and model calibration.

Inhaltsverzeichnis
Methods.- Static Monte Carlo.- Dynamic Monte Carlo.- Dynamic Programming for Stochastic Optimization.- Finite Difference Methods.- Numerical Solution of Linear Systems.- Quadrature Methods.- The Laplace Transform.- Structuring Dependence using Copula Functions.- Problems.- Portfolio Selection: "Optimizing" an Error.- Alpha, Beta and Beyond.- Automatic Trading: Winning or Losing in a kBit.- Estimating the Risk-Neutral Density.- An "American" Monte Carlo.- Fixing Volatile Volatility.- An Average Problem.- Quasi-Monte Carlo: An Asian Bet.- Lookback Options: A Discrete Problem.- Electrifying the Price of Power.- A Sparkling Option.- Swinging on a Tree.- Floating Mortgages.- Basket Default Swaps.- Scenario Simulation Using Principal Components.- Parametric Estimation of Jump-Diffusions.- Nonparametric Estimation of Jump-Diffusions.- A Smiling GARCH.
Details
Erscheinungsjahr: 2008
Fachbereich: Betriebswirtschaft
Genre: Wirtschaft
Rubrik: Recht & Wirtschaft
Medium: Buch
Seiten: 632
Reihe: Springer Finance
Inhalt: xxiii
607 S.
ISBN-13: 9783540223481
ISBN-10: 3540223487
Sprache: Englisch
Herstellernummer: 10996928
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Roncoroni, Andrea
Fusai, Gianluca
Auflage: 2008
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Springer Finance
Maße: 241 x 160 x 43 mm
Von/Mit: Andrea Roncoroni (u. a.)
Erscheinungsdatum: 17.01.2008
Gewicht: 1,219 kg
preigu-id: 102428948
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