Semiparametric Modeling of Implied Volatility

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E Book

Semiparametric Modeling of Implied Volatility

Fengler, Matthias R. - Nama Orang;

The Implied Volatility Surface -- Smile Consistent Volatility Models -- Smoothing Techniques -- Dimension-Reduced Modeling -- Conclusion and Outlook.The implied volatility surface is a key financial variable for the pricing and the risk management of plain vanilla and exotic options portfolios alike. Consequently, statistical models of the implied volatility surface are of immediate importance in practice: they may appear as estimates of the current surface or as fully specified dynamic models describing its propagation through space and time. This book fills a gap in the financial literature by bringing together both recent advances in the theory of implied volatility and refined semiparametric estimation strategies and dimension reduction methods for functional surfaces: the first part of the book is devoted to smile-consistent pricing appoaches. The theory of implied and local volatility is presented concisely, and vital smile-consistent modeling approaches such as implied trees, mixture diffusion, or stochastic implied volatility models are discussed in detail. The second part of the book familiarizes the reader with estimation techniques that are natural candidates to meet the challenges in implied volatility modeling, such as the rich functional structure of observed implied volatility surfaces and the necessity for dimension reduction: non- and semiparametric smoothing techniques. The book introduces Nadaraya-Watson, local polynomial and least squares kernel smoothing, and dimension reduction methods such as common principle components, functional principle components models and dynamic semiparametric factor models. Throughout, most methods are illustrated with empirical investigations, simulations and pictures.

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9783540305910

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Judul Seri: -
No. Panggil: -
Penerbit: Berlin, Heidelberg : Springer., 2005
Deskripsi Fisik: XVI, 224 p. 61 illus.online resource.
Bahasa: English
ISBN/ISSN: 9783540305910
Klasifikasi: 332
Tipe Isi: -
Tipe Media: -
Tipe Pembawa: -
Edisi: 1st ed. 2005.
Subjek: Statistics .
Finance.
Finance, general.
Economics, Mathematical .
Quantitative Finance.
Statistics for Business, Management, Economics, Finance, Insurance.
Mathematical models.
Mathematical Modeling and Industrial Mathematics.
Info Detail Spesifik: -
Pernyataan Tanggungjawab: Matthias R. Fengler.

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