Introductory Stochastic Analysis for Finance and InsuranceISBN: 978-0-471-71642-6
Hardcover
248 pages
March 2006
This is a Print-on-Demand title. It will be printed specifically to fill your order. Please allow an additional 10-15 days delivery time. The book is not returnable.
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It has been class-tested extensively in a variety of financial environments.
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It is written at a level which is friendly to actuaries, i.e. devoid of heavy proofs.
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There is an extensive bibliography at the rear of the book that serves as a primary source for new and timely publications in a constantly changing, dynamic marketplace.
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The last two chapters are devoted to advanced topics, such as the Feynman-Kac Formula, the Girsanov Theorem and complex barrier hitting times and two specific insurance applications, valuation of an equity-indexed annuity under a stochastic interest rate environment and calculated reserve for Universal Life.
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Unlike most introductory texts in probability theory, attention is paid to:
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the notion of information structure and how it relates to a probability space and a random variable.
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the notion of conditional probability and conditional expectation, and their respective calculations.
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