Simulated Swaption Delta-Hedging in the Lognormal Forward Libor Model

World Scientific
Publication Type:
Journal Article
International Journal of Theoretical & Applied Finance, 2001, 4 (4), pp. 677 - 709
Issue Date:
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Alternative approaches to hedging swaptions are explored and tested by simulation. Hedging methods implied by the Black swaption formula are compared with a lognormal forward LIBOR model approach encompassing all the relevant forward rates. The simulation is undertaken within the LIBOR model framework for a range of swaptions and volatility structures. Despite incompatibilities with the model assumptions, the Black method performs equally well as the LIBOR method, yielding very similar distributions for the hedging prot and loss | even at high rehedging frequencies. This result demonstrates the robustness of the Black hedging technique and implies that | being simpler and generally better understood by nancial practitioners | it would be the preferred method in practice.
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