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Convex Duality and Financial Mathematics

Language EnglishEnglish
Book Paperback
Book Convex Duality and Financial Mathematics Peter Carr
Libristo code: 19382029
Publishers Springer International Publishing AG, July 2018
This book provides a concise introduction to convex duality in financial mathematics. Convex duality... Full description
? points 232 b
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This book provides a concise introduction to convex duality in financial mathematics. Convex duality plays an essential role in dealing with financial problems and involves maximizing concave utility functions and minimizing convex risk measures. Recently, convex and generalized convex dualities have shown to be crucial in the process of the dynamic hedging of contingent claims. Common underlying principles and connections between different perspectives are developed; results are illustrated through graphs and explained heuristically. This book can be used as a reference and is aimed toward graduate students, researchers and practitioners in mathematics, finance, economics, and optimization. Topics include: Markowitz portfolio theory, growth portfolio theory, fundamental theorem of asset pricing emphasizing the duality between utility optimization and pricing by martingale measures, risk measures and its dual representation, hedging and super-hedging and its relationship with linear programming duality and the duality relationship in dynamic hedging of contingent claims

About the book

Full name Convex Duality and Financial Mathematics
Language English
Binding Book - Paperback
Date of issue 2018
Number of pages 152
EAN 9783319924915
ISBN 3319924915
Libristo code 19382029
Weight 267
Dimensions 155 x 235 x 9
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