Stochastic Finance

ISBN-13: 9781441939326 / Angielski / Miękka / 2010 / 364 str.

Albert N. Shiryaev; Maria Do Rosario Grossinho; Paulo E. Oliveira

Opis

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."

Spis treści

Preface PART I. PLENARY AND INVITED LECTURES 1. How Often to Sample a Continuous-Time Process in the Presence of Market Microstructure Noise (Yacine Aït-Sahalia, Per A. Mykland, Lan Zhang) 2. Multipower Variation and Stochastic Volatility (Ole E. Barndorff-Nielsen, Neil Shephard) 3. Completeness of a General Semimartingale Market under Constrained Trading (Tomasz R. Bielecki, Monique Jeanblanc, Marek Rutkowski) 4. Extremal behavior of stochastic volatility models (Vicky Fasen, Claudia Klüppelberg, Alexander Lindner) 5. Capital Asset Pricing for Markets with Intensity Based Jumps (Eckhard Platen) 6. Mortgage Valuation and Optimal Refinancing (Stanley R. Pliska) 7. Computing efficient hedging strategies in discontinuous market models (Wolfgang J.Runggaldier, Sara Di Emidio) 8. A Downside Risk Analysis based on Financial Index Tracking Models (Lian Yu, Shuzhong Zhang, Xun Yu Zhou) PART II. CONTRIBUTED TALKS 9. Modelling electricity prices by the potential jump-diffusion (Svetlana Borovkova, Ferry Jaya Permana) 10. Finite dimensional Markovian realizations for forward price term structure models (Raquel M. Gaspa) 11. Good Portfolio Strategies under Transaction Costs: A Renewal Theoretic Approach (Albrecht Irle, Jörn Sass) 12. Power and Multipower Variation: inference for high frequency data (Jeannette H.C. Woerner)

Blurb

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.