modeling based on geometric Lévy processes and minimal entropy Martingale measures /
First Statement of Responsibility
Yoshio Miyahara, Nagoya City University, Japan.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xiv, 185 pages :
Other Physical Details
illustrations ;
Dimensions
24 cm.
SERIES
Series Title
Series in quantitative finance ;
Volume Designation
v. 3
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
Basic concepts in mathematical finance -- Lévy processes and geometric Lévy process models -- Equivalent Martingale measures -- Esscher-transformed Martingale measures -- Minimax Martingale measures and minimal distance Martingale measures -- Minimal distance Martingale measures for geometric Lévy processes -- The [GLP & MEMM] pricing model -- Calibration and fitness analysis of the [GLP & MEMM] Model -- The [GSP & MEMM] pricing model -- The multi-dimensional [GLP & MEMM] pricing model.
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SUMMARY OR ABSTRACT
Text of Note
"This volume offers the reader practical methods to compute the option prices in the incomplete asset markets. The [GLP & MEMM] pricing models are clearly introduced, and the properties of these models are discussed in great detail. It is shown that the geometric Lévy process (GLP) is a typical example of the incomplete market, and that the MEMM (minimal entropy martingale measure) is an extremely powerful pricing measure. This volume also presents the calibration procedure of the [GLP \& MEMM] model that has been widely used in the application of practical problems."--Publisher's website.