Lectures on the mathematics of finance
著者
書誌事項
Lectures on the mathematics of finance
（CRM monograph series, v. 8）
American Mathematical Society, c1997
- : pbk
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注記
Pbk. ed.: Reprinted with corrections 1997, added in reprint (p. 149)
Bibliography: p. 141-148
内容説明・目次
- 巻冊次
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ISBN 9780821806371
内容説明
In this text, the author discusses the main aspects of mathematical finance. These include, arbitrage, hedging and pricing of contingent claims, portfolio optimization, incomplete and/or constrained markets, equilibrium, and transaction costs. The book outlines advances made possible during the last 15 years due to the methodologies of stochastic analysis and control. This tutorial survey of the rapidly expanding field of mathematical finance is addressed primarily to graduate students in mathematics. Familiarity is assumed with stochastic analysis and parabolic partial differential equations. The text makes significant use of students' mathematical skills, but always in connection with interesting applied problems.
- 巻冊次
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: pbk ISBN 9780821809099
内容説明
In this text, the author discusses the main aspects of mathematical finance. These include arbitrage, hedging and pricing of contingent claims, portfolio optimization, incomplete and/or constrained markets, equilibrium, and transaction costs. The book outlines advances made possible during the last fifteen years due to the methodologies of stochastic analysis and control. Readers are presented with current research, and open problems are suggested. This tutorial survey of the rapidly expanding field of mathematical finance is addressed primarily to graduate students in mathematics. Familiarity is assumed with stochastic analysis and parabolic partial differential equations. The text makes significant use of students' mathematical skills, but always in connection with interesting applied problems.
目次
The model Part 1. Complete markets: Pricing Optimization Equilibrium Part 2. Incomplete markets: Hedging Optimization Pricing Transaction costs Appendix A. Historical Notes Bibliography.
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