This text is divided into two parts. In the first part we present a methodology for approximating complex stochastic processes. Furthermore, we present an application to finance to calculate the price of American or European options when the price of the underlying equity obeys these complex processes. In the second part we investigate the exponential behavior of the solution of the parabolic Anderson model when the time goes to infinity. We show that the relevant quantity (the Lyapunov exponent) exists, and we provide tight lower and upper bounds for it.
This text is divided into two parts. In the first part we present a methodology for approximating complex stochastic processes. Furthermore, we presen...
CUTTING-EDGE DEVELOPMENTS IN HIGH-FREQUENCY FINANCIAL ECONOMETRICS
In recent years, the availability of high-frequency data and advances in computing have allowed financial practitioners to design systems that can handle and analyze this information. Handbook of Modeling High-Frequency Data in Finance addresses the many theoretical and practical questions raised by the nature and intrinsic properties of this data.
A one-stop compilation of empirical and analytical research, this handbook explores data sampled with high-frequency finance in financial...
CUTTING-EDGE DEVELOPMENTS IN HIGH-FREQUENCY FINANCIAL ECONOMETRICS
In recent years, the availability of high-frequency data and...
A comprehensive and accessible presentation of probability and stochastic processes with emphasis on key theoretical concepts and real-world applications
With a sophisticated approach, Probability and Stochastic Processes successfully balances theory and applications in a pedagogical and accessible format. The book's primary focus is on key theoretical notions in probability to provide a foundation for understanding concepts and examples related to stochastic processes.
Organized into two main sections, the book begins by developing...
A comprehensive and accessible presentation of probability and stochastic processes with emphasis on key theoretical concepts and real-world app...
THE COMPLETE COLLECTION NECESSARY FOR A CONCRETE UNDERSTANDING OF PROBABILITY
Written in a clear, accessible, and comprehensive manner, the Handbook of Probability presents the fundamentals of probability with an emphasis on the balance of theory, application, and methodology. Utilizing basic examples throughout, the handbook expertly transitions between concepts and practice to allow readers an inclusive introduction to the field of probability.
The book provides a useful format with self-contained chapters, allowing the reader easy and quick reference....
THE COMPLETE COLLECTION NECESSARY FOR A CONCRETE UNDERSTANDING OF PROBABILITY
Written in a clear, accessible, and comprehensive manne...
The book is complete with different coding techniques in R and MATLAB and generic pseudo-algorithms to modern finance. Starting with the theoretical backdrop needed from probability and stochastic processes and the description of financial instruments priced throughout the book, the classical Black-Scholes-Merton model is, then, presented in a uniquely accessible and understandable way. Implied volatility, local volatility surfaces, and general methods of inverting partial differential equations (PDE's) are, then, discussed.
The book is complete with different coding techniques in R and MATLAB and generic pseudo-algorithms to modern finance. Starting with the theoretical b...
