Modern Libor Market Models: Using Different Curves For Projecting Rates And For Discounting
AbstractWe introduce an extended LIBOR market model that is compatible with the current market practice of building different yield curves for different tenors and for discounting. The new paradigm is based on modeling the joint evolution of FRA rates and forward rates belonging to the discount curve. We will start by analyzing the basic lognormal case, then we will add stochastic volatility. The dynamics of FRA rates under different measures will be obtained and closed form formulas for caplets and swaptions derived in the lognormal and Heston (1993) cases.
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Bibliographic InfoArticle provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Journal of Theoretical and Applied Finance.
Volume (Year): 13 (2010)
Issue (Month): 01 ()
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Web page: http://www.worldscinet.com/ijtaf/ijtaf.shtml
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- Marco, Bianchetti, 2011. "The Zeeman Effect in Finance: Libor Spectroscopy and Basis Risk Management," MPRA Paper 42247, University Library of Munich, Germany, revised 27 Oct 2012.
- Bianchetti, Marco & Carlicchi, Mattia, 2012. "Markets Evolution After the Credit Crunch," MPRA Paper 44023, University Library of Munich, Germany.
- Christa Cuchiero & Claudio Fontana & Alessandro Gnoatto, 2014. "A general HJM framework for multiple yield curve modeling," Science & Finance (CFM) working paper archive 1406.4301, Science & Finance, Capital Fund Management.
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