This open access volume provides an in-depth analysis of philosophical discussions concerning the common good and its relation to self-interest in the history of Western philosophy. The thirteen chapters explore both renowned and lesser-known thinkers from the Middle Ages to the eighteenth century, covering also the relevant ancient background. By bridging the gap between the medieval and early modern periods, they provide fresh insights into how moral and political philosophers understood the concepts of the common good and self-interest, along with their ethical and political implications. The concept of the common good occupies a central role in philosophical reflections on the public and private dimensions of moral and social life in contemporary debates. By exploring the rich and diverse ways in which the relationship between the common good and self-interest has been understood, this volume has the potential to contribute to our ongoing efforts to critically discern the possibilities and limitations of these concepts in the present. Thus, the volume will be useful for scholars interested in the multi-layered role of the notion of the common good both in the history of philosophy and in contemporary moral and political philosophy.

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The class of interest rate models introduced by O. Cheyette in 1994 is a subclass of the general HJM framework with a time dependent volatility parameterization. This book addresses the above mentioned class of interest rate models and concentrates on the calibration, valuation and sensitivity analysis in multifactor models. It derives analytical pricing formulas for bonds and caplets and applies several numerical valuation techniques in the class of Cheyette model, i.e. Monte Carlo simulation, characteristic functions and PDE valuation based on sparse grids. Finally it focuses on the sensitivity analysis of Cheyette models and derives Model- and Market Greeks. To the best of our knowledge, this sensitivity analysis of interest rate derivatives in the class of Cheyette models is unique in the literature. Up to now the valuation of interest rate derivatives using PDEs has been restricted to 3 dimensions only, since the computational effort was too great. The author picks up the sparse grid technique, adjusts it slightly and can solve high-dimensional PDEs (four dimensions plus time) accurately in reasonable time. Many topics investigated in this book are new areas of research and make a significant contribution to the scientific community of financial engineers. They also represent a valuable development for practitioners.

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