Chapter 5

Libor Market Model

Takashi Yasuoka

Abstract

This chapter introduces the LIBOR market model, which is the stan- dard model for derivatives pricing. Because the topic of this book is risk manage- ment, we do not deal with the details of pricing. Instead, this chapter introduces the model, focusing on the implications of the real-world model. First, we give a de nition of the LIBOR market model, following Jamshidian (1997). Next, we de ne the LIBOR market model under the real-world measure (hereinafter, LMRW), and show, following the method of Yasuoka (2013b), that the model exists. Additionally we nd the models under the spot LIBOR measure and under a forward measure that are implied by the LMRW. Finally, we verify the numerical differences of the LIBOR process according to choice of measure. The study on the real-world model will be developed in Chapter 9.

Total Pages: 91-109 (19)

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