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Introduction to Stochastic Finance

  • Textbook
  • © 2018

Overview

  • Gives a systematic introduction to the basic theory of financial mathematics, with an emphasis on applications of martingale methods
  • Includes general theory of static risk measures, basic concepts and results on markets of semimartingale model, and a numeraire-free and original probability based framework for financial markets
  • An excellent introductory course of mathematical finance for graduate students

Part of the book series: Universitext (UTX)

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Table of contents (14 chapters)

Keywords

About this book

This book gives a systematic introduction to the basic theory of financial mathematics, with an emphasis on applications of martingale methods in pricing and hedging of contingent claims, interest rate term structure models, and expected utility maximization problems. The general theory of static risk measures, basic concepts and results on markets of semimartingale model,  and a numeraire-free and original probability based framework for financial markets are also included. The basic theory of probability and Ito's theory of stochastic analysis, as preliminary knowledge, are presented.

Reviews

“The monograph is a wonderful text for graduate courses in mathematical finance and related fields. … The materials presented in the monograph are organised in a thoughtful way.” (Tak Kuen Siu, zbMATH 1420.91001, 2019)

Authors and Affiliations

  • Academy of Mathematics and System Science, Chineses Academy of Sciences, Beijing, China

    Jia-An Yan

About the author

Professor Jia-An Yan is a Professor of Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences. He is a Member of the Chinese Academy of Sciences and he has served as Editor-in-Chief of Acta Mathematicae Applicatae Sinica and members of several editorial boards. His main research area is stochastic analysis and mathematical finance.

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