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Introduction to stochastic finance

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Introduction to stochastic finance/ by Jia-An Yan.
作者:	Yan, Jia-An.
出版者:	Singapore :Springer Singapore : : 2018.,
面頁冊數:	xiv, 403 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Business mathematics. -
電子資源:	https://doi.org/10.1007/978-981-13-1657-9
ISBN:	9789811316579

Introduction to stochastic finance
Yan, Jia-An.

Introduction to stochastic finance[electronic resource] /by Jia-An Yan. - Singapore :Springer Singapore :2018. - xiv, 403 p. :ill., digital ;24 cm. - Universitext,0172-5939. - Universitext..

Foundation of Probability Theory and Discrete-time Martingales -- Portfolio Selection Theory in Discrete Time -- Financial Markets in Discrete Time -- Martingale Theory and Itˆo Stochastic Analysis -- The Black-Scholes Model and Its Modifications -- Pricing and Hedging of Exotic Options -- Itˆo Process and Diffusion Models -- Term Structure Models For Interest Rates -- Optimal Investment-Consumption Strategies in Diffusion Models -- Static Risk Measures -- Stochastic Calculus and Semimartingale Model -- Optimal Investment in Incomplete Markets -- Martingale Method for Utility Maximization -- Optimal Growth Portfolios and Option Pricing.

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.

ISBN: 9789811316579

Standard No.: 10.1007/978-981-13-1657-9doiSubjects--Topical Terms:

557696
Business mathematics.

LC Class. No.: HF5691 / .Y365 2018

Dewey Class. No.: 650.0151

Introduction to stochastic finance
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520 $a 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.
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