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Calibration and parameterization methods for the Libor market model. (English) Zbl 1285.91003

BestMasters. Wiesbaden: Springer Gabler (ISBN 978-3-658-04687-3/pbk; 978-3-658-04688-0/ebook). ix, 64 p. (2014).
Publisher’s description: The Libor market model (LMM) is a mathematical model for pricing and risk management of interest rate derivatives and has been built on the framework of modelling forward rates. For the conceptual understanding of the model a strong background in the fields of mathematics, statistics, finance and, especially for implementation, computer science is necessary. The book provides the necessary groundwork to understand the LMM and delivers a framework to implement a working model where possible calibration and parameterization methods for volatility and correlation are explained. Special emphasis lies also on the tradeoff of speed and correctness where differences in choosing random number generators and the advantages of factor reduction are shown.

MSC:

91-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to game theory, economics, and finance
91G20 Derivative securities (option pricing, hedging, etc.)
91G30 Interest rates, asset pricing, etc. (stochastic models)
91G60 Numerical methods (including Monte Carlo methods)

Software:

R
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