CIO Wisdom II or Introduction to the Mathematics of Finance

CIO Wisdom II: More Best Practices

Author: Thomas Costello

Every year, IT leadershop becomes more challenging. Don't go it alone. Get practical help from the people who know what you're up against, and know what works: your most successful peers. In CIO Wisdom II, more than a dozen of today's leading CIOs share specific, realistic, up-to-the-minute techniques for maximizing agility, cost-effectiveness, and business value. You'll find solutions for managing both the internal and external forces impacting IT, and for dealing with more than 20 of your toughest issues--business, technical, and human. You'll find specific, realistic, approaches to everything from architecture to outsourcing, new technology selection to governance. CIO Wisdom II: it's more valuable than your last consultant--and a whole lot more cost-effective.

See also: Economics or Macroeconomics

Introduction to the Mathematics of Finance (Undergraduate Texts in Mathematics Series): From Risk Management to Options Pricing

Author: Steven Roman

The Mathematics of Finance has become a hot topic ever since the discovery of the Black-Scholes option pricing formulas in 1973. Unfortunately, there are very few undergraduate textbooks in this area. This book is specifically written for advanced undergraduate or beginning graduate students in mathematics, finance or economics. With the exception of an optional chapter on the Capital Asset Pricing Model, the book concentrates on discrete derivative pricing models, culminating in a careful and complete derivation of the Black-Scholes option pricing formulas as a limiting case of the Cox-Ross-Rubinstein discrete model. The final chapter is devoted to American options.

The mathematics is not watered down but is appropriate for the intended audience. No measure theory is used and only a small amount of linear algebra is required. All necessary probability theory is developed throughout the book on a

Table of Contents:

	Notation key and Greek alphabet
1	Probability I : an introduction to discrete probability	7
2	Portfolio management and the capital asset pricing model	41
3	Background on options	79
4	An aperitif on arbitrage	89
5	Probability II : more discrete probability	103
6	Discrete-time pricing models	139
7	The Cox-Ross-Rubinstein model	187
8	Probability III : continuous probability	203
9	The Black-Scholes option pricing formula	237
10	Optimal stopping and American options	277
App. A	Pricing nonattainable alternatives in an incomplete market	305
App. B	Convexity and the separation theorem	321