INTRODUCTION TO MATHEMATICAL FINANCE DISCRETE TIME MODELS PLISKA PDF

The purpose of this book is to provide a rigorous yet accessible introduction to the modern financial theory of security markets. The main subjects are derivatives and portfolio management. The book is intended to be used as a text by advanced undergraduates and beginning graduate students. It is also likely to be useful to practicing financial engineers, portfolio manager, and actuaries who wish to acquire a fundamental understanding of financial theory.

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You are currently using the site but have requested a page in the site. Would you like to change to the site? Stanley R. Undetected location. NO YES. Selected type: Hardcover.

Added to Your Shopping Cart. This is a dummy description. The purpose of this book is to provide a rigorous yet accessible introduction to the modern financial theory of security markets. The main subjects are derivatives and portfolio management. The book is intended to be used as a text by advanced undergraduates and beginning graduate students. It is also likely to be useful to practicing financial engineers, portfolio manager, and actuaries who wish to acquire a fundamental understanding of financial theory.

The book makes heavy use of mathematics, but not at an advanced level. Various mathematical concepts are developed as needed, and computational examples are emphasized. About the Author Stanley Pliska is the founding editor of the scholarly journal Mathematical Finance. He is 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. Model Specifications. Arbitrage and Other Economic Consideration. Risk Neutral Probability Measures. Valuation of Contingent Claims.

Complete and Incomplete Markets. Risk and Return. Optimal Portfolios and Viability. Risk Neutral Computational Approach. Consumption Investment Problems. Mean-Variance Portfolio Analysis. Optimal Portfolios in Incomplete Markets. Equilibrium Models. Model Specifications, Filtrations, and Stochastic Processes. Information Structures. Stochastic Process Models of Security Prices.

Trading Strategies. Value Processes and Gains Processes. Self-Financing Trading Strategies. Discounted Prices. Return and Dividend Processes. Conditional Expectation and Martingales. Economic Considerations. The Binomial Model. Markov Models. Contingent Claims. European Options Under the Binomial Model. American Options. Forward Prices and Cash Stream Valuation. 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. Optimal Portfolios with Constraints. Optimal Consumption-Investment with Constraints. Portfolio Optimization in Incomplete Markets.

The Basic Term Structure Model. Lattice, Markov Chain Models. Yield Curve Models. Forward Risk Adjusted Probability Measures. Coupon Bonds and Bond Options. Swaps and Swaptions. Caps and Floors. Finite Horizon Models. Infinite Horizon Models. 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.

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ISBN 13: 9781557869456

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Introduction to Mathematical Finance: Discrete Time Models

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