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Economics/Finances Mathematical Modeling and Methods of Option Pricing

Posted on 2010-03-16




Name:Economics/Finances Mathematical Modeling and Methods of Option Pricing
ASIN/ISBN:9812563695
Language:English
File size:8 Mb
Language: English
Publish Date: 2005-07-30
ISBN: 9812563695
Pages: 344 pages
File Type: PDF
File Size: 8 MB
Other Info: World Scientific Publishing Company
   Economics/Finances Mathematical Modeling and Methods of Option Pricing

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Lishang Jiang "Mathematical Modeling and Methods of Option Pricing"

From the unique perspective of partial differential equations (PDE), this self-contained book presents a systematic, advanced introduction to the Black–Scholes–Merton’s option pricing theory. A unified approach is used to model various types of option pricing as PDE problems, to derive pricing formulas as their solutions, and to design efficient algorithms from the numerical calculation of PDEs. In particular, the qualitative and quantitative analysis of American option pricing is treated based on free boundary problems, and the implied volatility as an inverse problem is solved in the optimal control framework of parabolic equations.

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