Elementary stochastic calculus with finance in view
- 作者: Mikosch, Thomas.
- 出版: Singapore ;River Edge, N.J. : World Scientific Publ. ©1998
- 稽核項: 1 online resource (ix, 212 pages) :illustrations.
- 叢書名: Advanced series on statistical science & applied probability ;vol. 6
- 標題: Probability & StatisticsGeneral. , Stochastic analysis. , MATHEMATICS Probability & Statistics -- General. , Analyse stochastique. , Electronic books. , MATHEMATICS
- ISBN: 9812386335 , 9789812386335
- 試查全文@TNUA:
- 附註: Includes bibliographical references (pages 195-198) and index. 1. Preliminaries; Basic concepts from probability theory; Stochastic processes; Brownian motion; Conditional expectation; Martingales; 2. The stochastic integral; The Riemann and Riemann-Stieltjes-integrals; the Ito integral; the Ito lemma; The Stratonovich and other integrals; 3. Stochastic differential equations -- Deterministic differential equations; Ito stochastic differential equations; The general linear differential equation; Numerical solution; 4. Applications of stochastic calculus in finance; The Black-Scholes option-pricing formula; A useful technique -- change of measure; Appendices: modes of convergence; Inequalities; Non-differentiability and unbounded variation of Brownian sample paths; Proof of the existence of the general Ito stochastic integral; The Radon-Nikodym theorem; Proof of the existence and uniqueness of the conditional expectation.
- 電子資源: https://dbs.tnua.edu.tw/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=91452
- 系統號: 005303513
- 資料類型: 電子書
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- 引用網址: 複製連結