This book confronts a growing business problem. How plausible is it for a business to control the dynamic of their capital? Central to this book is the theory of the probability of ruin and how this may not necessarily mean the end of business activity. In addition to this, there are many probabilistic recommendations made by successful businessmen and women who have made their fortunes and are now sharing their valuable insights.
This book is recommended for students who possess a basic understanding of the initial aspects of probability theory and wish to apply these to become successful in this field in future. The author presents students and practitioners with a variety of examples of application which contain well-founded and new ideas as well as opportunities for further study in this subject area.
1. Mathematical Bases.
2. Cramér-Lundberg Model.
3. Models With the Premium Dependent on the Capital.
4. Heavy Tails.
5. Some Problems of Control.
Boris Harlamov is Professor of Applied Mathematics and Informatics in the Department of Architecture and Building at the State University, St. Petersburg, Russia.