The main thrust of this book is the development of new and powerful symmetry relationships in the values of options in foreign exchange markets. What makes these relationships really interesting -- and useful -- is that the authors show that they are valid in all markets. For example, no assumptions are needed on the existence of probability distributions. The final symmetries are easily understood and introduced using language from physics. This stuff should be in all books on mathematical finance. Traders, financial professionals, students and academics will find this book useful.