A Mean-Field Extension of the LIBOR Market Model
نویسندگان
چکیده
We introduce a mean-field extension of the LIBOR market model (LMM) which preserves basic features original model. Among others, these are martingale property, directly implementable calibration and an economically reasonable parametrization classical LMM. At same time, (MF-LMM) is designed to reduce probability exploding scenarios, arising in particular market-consistent valuation long-term guarantees. To this end, we prove existence uniqueness corresponding MF-LMM investigate its practical aspects, including Black '76-type formula. Moreover, present extensive numerical analysis MF-LMM. The Monte Carlo method based on suitable interacting particle system approximates underlying equation.
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ژورنال
عنوان ژورنال: International Journal of Theoretical and Applied Finance
سال: 2022
ISSN: ['1793-6322', '0219-0249']
DOI: https://doi.org/10.1142/s0219024922500054