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Mathematical finance has grown into a huge area of research which requires a large number of sophisticated mathematical tools. This book simultaneously introduces the financial methodology and the relevant mathematical tools in a style that is mathematically rigorous and yet accessible to practitioners and mathematicians alike. It interlaces financial concepts such as arbitrage opportunities, admissible strategies, contingent claims, option pricing and default risk with the mathematical theory of Brownian motion, diffusion processes, and Levy processes. The first half of the book is...

This textbook provides an introduction to environmental finance and investments. The current situation raises fundamental questions that this book aims to address. Under which conditions could carbon pricing schemes contribute to a significant decrease in emissions? What are the new investment strategies that the Kyoto Protocol and the emerging carbon pricing schemes around the world should promote? In the context of carbon regulation through emission trading schemes, what is the trade-off between production, technological changes, and pollution?
What is the nature of the relation...