An Introduction to Financial Option Valuation: Mathematics, Stochastics and Computation (Paperback)
暫譯: 金融選擇權估值入門:數學、隨機過程與計算方法 (平裝本)
Higham, Desmond
- 出版商: Cambridge
- 出版日期: 2004-04-19
- 售價: $800
- 貴賓價: 9.5 折 $760
- 語言: 英文
- 頁數: 273
- 裝訂: Quality Paper - also called trade paper
- ISBN: 0521547571
- ISBN-13: 9780521547574
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商品描述
This is a lively textbook providing a solid introduction to financial option valuation for undergraduate students armed with a working knowledge of a first year calculus. Written in a series of short chapters, its self-contained treatment gives equal weight to applied mathematics, stochastics and computational algorithms. No prior background in probability, statistics or numerical analysis is required. Detailed derivations of both the basic asset price model and the Black-Scholes equation are provided along with a presentation of appropriate computational techniques including binomial, finite differences and in particular, variance reduction techniques for the Monte Carlo method. Each chapter comes complete with accompanying stand-alone MATLAB code listing to illustrate a key idea. Furthermore, the author has made heavy use of figures and examples, and has included computations based on real stock market data.
商品描述(中文翻譯)
這是一本生動的教科書,為具備一年級微積分基礎知識的本科生提供了金融選擇權估值的堅實入門。書中以一系列短章節撰寫,內容自成體系,對應用數學、隨機過程和計算演算法給予同等重視。讀者不需要具備概率、統計或數值分析的背景知識。書中詳細推導了基本資產價格模型和Black-Scholes方程,並介紹了適當的計算技術,包括二項式法、有限差分法,特別是針對蒙地卡羅方法的變異數減少技術。每一章都附有獨立的MATLAB程式碼清單,以說明關鍵概念。此外,作者大量使用圖形和範例,並包含基於真實股市數據的計算。