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Home > Mathematics and Science Textbooks > Mathematics > Applied mathematics > Uncertain Volatility Models: Theory and Application(Springer Finance)
Uncertain Volatility Models: Theory and Application(Springer Finance)

Uncertain Volatility Models: Theory and Application(Springer Finance)


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About the Book

This book introduces Uncertain Volatility Models in mathematical finance and their computer implementation for portfolios of vanilla, barrier and American options in equity and FX markets. Uncertain Volatility Models place subjective constraints such as upper and lower bounds on volatility and evaluate option portfolios under worst- and best-case scenarios. This book is for graduate students, researchers and practitioners who wish to study advanced aspects of volatility risk in portfolios of vanilla and exotic options. The accompanying CD contains the source code of a C++ implementation of the algorithms presented in the book.

Table of Contents:
1 Introduction.- I Computational Finance: Theory.- 2 Notation and Basic Definitions.- 3 Continuous Time Finance.- 4 Scenario-Based Evaluation and Uncertainty.- II Algorithms for Uncertain Volatility Models.- 5 A Lattice Framework.- 6 Algorithms for Vanilla Options.- 7 Algorithms for Barrier Options.- 8 Algorithms for American Options.- 9 Exotic Volatility Scenarios.- III Object-Oriented Implementation.- 10 The Architecture of Mtg.- 11 The Class Hierarchy of MtgLib-External.- 12 The Class Hierarchy of MtgLib-Internal.- 13 Extensions for Monte-Carlo Pricing and Calibration.- A The Network Application MtgClt/MtgSvr.- B The Scripting Language MtgScript.- C Mathematica Extensions.- References.

Review :
From the reviews: MATHEMATICAL REVIEWS "The book bridges theory and real-world problems in a clear and pragmatic fashion. It can be useful both for academics and professionals in the financial community." "This book, which comes out of the author's Ph.D. thesis, introduces uncertain volatility models. ... The formal results are illustrated by many empirical examples. ... The book bridges theory and real-world problems in a clear and pragmatic fashion. It can be useful both for academics and for professionals in the financial community." (Damir Filipovic, Mathematical Reviews, 2003 i) "The book is devoted to the study of uncertain volatility models that evaluate option portfolios ... . The author travels in this book the entire road from innovative mathematical finance to a working software system ... . Practitioners and students who need to build analytic software libraries may benefit from reading this book ... . This book is also for graduate students and researchers who wish to study advanced aspects of volatility risk in portfolios of vanilla and exotic options." (Anatoliy Swishchuk, Zentralblatt MATH, Vol. 1004 (4), 2003)


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Product Details
  • ISBN-13: 9783540426578
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Publisher Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Height: 235 mm
  • No of Pages: 244
  • Returnable: N
  • Series Title: Springer Finance
  • Width: 155 mm
  • ISBN-10: 3540426574
  • Publisher Date: 10 Apr 2002
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Series Title: Springer Finance
  • Sub Title: Theory and Application


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