Stochastic Finance

‘The text does a great job of providing a comprehensive picture of basic mathematical finance concepts in both discrete and continuous settings. The authors provide a balanced amount of details in both the financial (arbitrage, replicating strategies, etc.) and mathematical aspects (probability, stochastic calculus, etc.) I really appreciate the fact that the technical details are presented in a way that is accessible to an advanced undergraduate student.’ Triet Pham, Department of Mathematics, The School of Arts and Sciences, Rutgers, The State University of New Jersey‘This is a rigorous textbook on stochastic finance in which the reader will enjoy the path the authors take while introducing conditional expectations with respect to sigma-algebras, and the sequence of models from the binomial to Black-Scholes. In all, a careful construction of the theory with proofs that are both thorough and readable.’ Ludolf E. Meester, Delft University of Technology

Amanda Turner is Professor of Statistics at the University of Leeds. She received her Ph.D. from the University of Cambridge in Scaling Limits of Stochastic Processes in 2007. Before moving to Leeds, she taught probability and stochastic processes for finance at Lancaster University and the University of Geneva for over fifteen years. She is a founding member of the Royal Statistical Society’s Applied Probability Section and is heavily involved in the London Mathematical Society, including as a member of council since 2021. When not doing mathematics, she enjoys mountaineering and skiing.

Dirk Zeindler is Senior Lecturer in Pure Mathematics at Lancaster University. He holds a Ph.D. in random matrix theory from the University of Zurich. He has taught probability courses at Lancaster University and at the University of Bielefeld for over ten years. His teaching includes introductory first-year probability to advanced financial mathematics, for mathematics, accounting and finance students. His research interests are in probability and number theory. In particular, he and his co-authors have proven that at least 41.7% of the zeros of the Riemann zeta lie on the critical line, which is the current world record.