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Since the pioneering work of Black, Scholes, and Merton in the field of financial mathematics, research has led to the rapid development of a substantial body of knowledge, with plenty of applications to the common functioning of the world s financial institutions. §Mathematics, as the language of science, has always played a role in the development of knowledge and technology. Presently, the high-tech character of modern business has increased the need for advanced methods, which rely to a large extent on mathematical techniques. It has become essential for the financial analyst to possess a high degree of proficiency in these mathematical techniques.Ever since Black, Scholes, and Merton did their pioneering work in the field of financial mathematics, continuing research has led to the rapid development of a substantial body of knowledge, with numerous applications to the common functioning of the world s financial institutions. §Mathematics, as the language of science, has always played a role in the development of knowledge and technology. Presently, the high-tech character of modern business has increased the need for advanced methods, which rely to a large extent on mathematical techniques. It has become essential for the financial analyst to possess a high degree of proficiency in these mathematical techniques. The essays in Stochastic Finance describe many of these techniques.§Audience§This book is intended for experts in mathematics, statistics, mathematical finances, and economics.