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I put a lot of effort in explaining credit risk factors and show the latest results in default probability and recovery rate modeling. There is a special emphasis on correlation issues as well. The broad range of financial instruments I consider covers not only defaultable bonds, defaultable swaps and single counterparty credit derivatives but is further extended by multi counterparty in- struments like index swaps, basket default swaps and collateralized debt obligations. I am grateful to Springer-Verlag for the great support in the realiza- tion of this project and want to thank the readers of the first edition for their overwhelming feedback. Last but not least I want to thank Uli G ser for ongoing patience, en- couragement, and support, my family and especially my sister Wendy for being there at all times. BemdSchmid Stuttgart, November 2003 Cpntents 1. 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A range of finance applications are provided, including problems with non-exponential discounting, mean-variance objective, time-inconsistent linear quadratic regulator, probability distortion, and market equilibrium with time-inconsistent preferences.   Time-Inconsistent Control Theory with Finance Applications offers the first comprehensive treatment of time-inconsistent control and stopping problems, in both continuous and discrete time, and in the context of finance applications. Intended for researchers and graduate students in the fields of finance and economics, it includes a review of the standard time-consistent results, bibliographical notes, as well as detailed examples showcasing time inconsistency problems. 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Last but not least I want to thank Uli G ser for ongoing patience, en- couragement, and support, my family and especially my sister Wendy for being there at all times. BemdSchmid Stuttgart, November 2003 Cpntents 1. Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 1 Motivation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 2 Objectives, Structure, and S: ummary . . . . . . . . . . . . . . . . . . . . . . 5 2. 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