Telegraph Processes and Option Pricing

Buch | Softcover
XII, 128 Seiten
2013 | 2014
Springer Berlin (Verlag)
978-3-642-40525-9 (ISBN)

Lese- und Medienproben

Telegraph Processes and Option Pricing - Alexander D. Kolesnik, Nikita Ratanov
58,84 inkl. MwSt
zur Neuauflage
  • Titel erscheint in neuer Auflage
  • Artikel merken
Zu diesem Artikel existiert eine Nachauflage
lt;p>The telegraph process is a useful mathematical model for describing the stochastic motion of a particle that moves with finite speed on the real line and alternates between two possible directions of motion at random time instants. That is why it can be considered as the finite-velocity counterpart of the classical Einstein-Smoluchowski's model of the Brownian motion in which the infinite speed of motion and the infinite intensity of the alternating directions are assumed.

The book will be interesting to specialists in the area of diffusion processes with finite speed of propagation and in financial modelling. It will also be useful for students and postgraduates who are taking their first steps in these intriguing and attractive fields.

Prof. Alexander Dmitry Kolesnik holds PhD in mathematics and physics (1991) and Habilitation in probability and statistics (2010) conferred by the Institute of Mathematics of the National Academy of Sciences of Ukraine, Kiev, Ukraine. At present, he occupies the permanent position of the Leading Scientific Researcher (Professor) at the Institute of Mathematics and Computer Science of the Academy of Sciences of Moldova, Kishinev, Moldova. He has published more than 50 scientific works in various editions and is the external referee for many respected international journals in mathematics, probability, stochastic processes and physics. Prof. Kolesnik is a member of the Global Advisors Board of the International Federation of Nonlinear Analysts (IFNA) and a member of the Expert Board on Mathematics of the National Council for Accreditation and Attestation of Moldova. Prof. Nikita Ratanov has degrees in mathematics from Moscow State University (Lomonossov): (Diploma, 1976; PhD, 1984), Russian Academy of Scencies, (Doctor of Sciences in Physics and Mathematics, 1999). His current position: professor, researcher at Universidad del Rosario, Bogota', Colombia. Prof. Ratanov's recent research interests have concentrated on stochastic processes and their applications. He has published several textbooks (in Russian and Spanish) on mathematical finance.

Preface.- 1.Preliminaries.- 2.Telegraph Process on the Line.- 3.Functionals of Telegraph Process.- 4.Asymmetric Jump-Telegraph Processes.- 5.Financial Modelling and Option Pricing.- Index.

lt;p>From the book reviews:

"The book is organized into 5 chapters. ... this book provides a detailed and rigorous description of the telegraph process on the real line, with a special view to its applications to financial modelling. Researchers and students in related areas will find it of considerable interest." (Antonio Di Crescenzo, Mathematical Reviews, October, 2014)

Erscheint lt. Verlag 30.10.2013
Reihe/Serie SpringerBriefs in Statistics
Zusatzinfo XII, 128 p. 5 illus.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 225 g
Themenwelt Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Schlagworte Financial Modelling • Option pricing • Telegraph process
ISBN-10 3-642-40525-8 / 3642405258
ISBN-13 978-3-642-40525-9 / 9783642405259
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich

von Jim Sizemore; John Paul Mueller

Buch | Softcover (2024)
Wiley-VCH (Verlag)
28,00
Eine Einführung in die faszinierende Welt des Zufalls

von Norbert Henze

Buch | Softcover (2024)
Springer Spektrum (Verlag)
39,99