Beschreibung:
This textbook invites the reader to develop a holistic grounding in mathematical finance, where concepts and intuition play as important a role as powerful mathematical tools. Financial interactions are characterized by a vast amount of data and uncertainty; navigating the inherent dangers and hidden opportunities requires a keen understanding of what techniques to apply and when. By exploring the conceptual foundations of options pricing, the author equips readers to choose their tools with a critical eye and adapt to emerging challenges.
1. Preliminaries via Gambles.- 2. Options.- 3. Modeling.- 4. Some Probability.- 5. The Black-Scholes Equation.- 6. Solutions of Black-Scholes.- 7. Partial information: the Greeks.- 8. Sketching and the American Options.- 9. Embellishments.