Introduction to Mathematical Finance: Discrete Time Models Stanley R. Pliska Pliska may be a genius, however this book is not an “introduction” to anything. INTRO TO MATHEMATICAL FINANCE: DISCRETE TIME MODELS (H/C). PLISKA S. ISBN: Temporary Out of Stock – Estimated delivery within. Introduction to mathematical finance: discrete time models / Stanley R. Pliska. Author. Pliska, Stanley R., Published. Oxford [England] ; Malden, Mass.
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This is a subject that is taught in both business schools and mathematical science departments. The full theory of security markets requires knowledge of continuous time stochastic process models, measure theory, mathematical economics, and similar mathematicaal which are generally not learned before the advanced graduate level. Hence a proper study of the full theory of security markets requires several years of graduate study.
However, by restricting attention to discrete time models of security prices it is possible to acquire mathematics.
In particular, while living in a discrete time world it is possible to learn virtually all of the important financial concepts. The purpose of this book is to provide such an introductory study.
There is still a lot of mathematics in this book. The reader finamce be comfortable with calculus, linear algebra, and probability theory that is based on calculus, but not necessarily measure theory. Random variables and expected values will be playing important roles. The book will develop important notions concerning discrete time stochastic processes: Presumably the reader will be interested in finance and thus will come with some rudimentary knowledge of stocks, bonds, options, and financial decision making.
The last topic involves utility theory, of course: Some exposure to linear programming would be advantageous, but not necessary. The aim of this book is to provide a rigorous treatment of the financial theory while maintaining a casual style. Readers seeking institutional knowledge about securities, derivatives, and portfolio management should look elsewhere, but those seeking a careful introduction to financial engineering will find that this is a useful and comprehensive introduction to the subject.
The Best Books of Check out the top books of the year on our page Best Books of Looking for beautiful books? Visit our Beautiful Books page and find lovely books for kids, photography lovers and more. Back cover copy This book is designed to serve as a textbook for advancedundergraduate and beginning graduate students who seek a rigorousyet accessible introduction to the modern financial theory ofsecurity markets. This is a subject that is taught in both businessschools and mathematical science departments.
The full theory ofsecurity markets requires knowledge of continuous time stochasticprocess models, measure theory, mathematical economics, and similarprerequisites which are generally not learned before the advancedgraduate level.
Hence a proper study of the full theory of securitymarkets requires several years of graduate study.
However, byrestricting attention to discrete time models of security prices itis possible to acquire mathematics. In particular, while living ina discrete time world it is possible to learn virtually all of theimportant financial concepts.
Finaance purpose of this book is toprovide such an introductory study. The readershould be comfortable with calculus, linear algebra, andprobability theory that is based on calculus, but not necessarilymeasure theory.
Introduction to Mathematical Finance : Stanley R. Pliska :
Random variables and expected values will beplaying important roles. The book will develop important notionsconcerning discrete time stochastic processes; prior knowledge herewill be useful but is not required.
Presumably the reader will discrere in finance and thus will come with some rudimentaryknowledge of stocks, bonds, options, and financial decision making.
The last topic involves utility theory, of course; hopefully thereader will be familiar with this and related topics ofintroductory microeconomic theory. Some exposure to linearprogramming would be advantageous, but not necessary. The aim of this book is to provide a rigorous treatment of thefinancial theory while maintaining mathematiacl casual style. Readers seekinginstitutional knowledge about securities, derivatives, andportfolio management should look elsewhere, but those seeking acareful introduction to financial engineering will find that thisis a useful mmathematical comprehensive introduction to the subject.
Table of contents Part I: Single Period Securities Markets: Arbitrage and Other Economic Consideration. Risk Neutral Probability Measures.
Introduction to Mathematical Finance: Discrete Time Models
Valuation of Contingent Claims. Complete and Incomplete Markets. Single Period Consumption and Investment: Optimal Portfolios and Viability.
Risk Neutral Computational Approach. Optimal Portfolios in Incomplete Markets. Model Specifications, Filtrations, and Stochastic Processes.
Stochastic Process Models of Security Prices. Value Processes and Gains Processes. Return and Dividend Processes. Conditional Expectation and Martingales. Options, Futures, and Other Derivatives: European Options Under the Binomial Model. Forward Prices and Cash Stream Valuation.
Optimal Consumption and Investment Problems: Optimal Portfolios and Dynamic Programming. Optimal Portfolios and Martingals Methods. Consumption-Investment and Dynamic Programming. Consumption-Investment and Martingale Methods. Maximum Utility from Consumption and Terminal Wealth.
Introduction to Mathematical Finance: Discrete Time Models by Stanley R. Pliska
Optimal Portfolios with Constraints. Optimal Consumption-Investment with Constraints. Portfolio Optimization in Incomplete Markets. Bonds and Interest Rate Derivatives: The Basic Term Structure Model. Lattice, Markov Chain Models. Forward Risk Adjusted Timd Measures.
Coupon Bonds and Bond Options. The bulk of the book describes a model with finitely many, discrete trading dates, and a finite sample space, thus it avoids the technical difficulties associated with continuous time models.
The major strength of this book is its careful balance of mathematical rigor and intuition. Pliska Stanley Pliska is the founding editor of the scholarly journal Mathematical Finance. He disctete noted for his fundamental research on the mathematical and economic theory of security prices, especially his development of important bridges between stochastic calculus and arbitrage pricing theory as well as his discovery of the risk neutral computational approach for portfolio optimization problems.
He is currently teaching and researching in the areas of interest rate derivatives and dynamic asset allocation. Book ratings by Goodreads. Goodreads is the world’s largest site for readers with over 50 million reviews.
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