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.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

a study on insurer solvency by panel data model: the case of iranian insurance market

the aim of this thesis is an approach for assessing insurer’s solvency for iranian insurance companies. we use of economic data with both time series and cross-sectional variation, thus by using the panel data model will survey the insurer solvency.

A Libor Market Model with Default Risk

In this paper a new credit risk model for credit derivatives is presented. The model is based upon the ‘Libor market’ modelling framework for default-free interest rates. We model effective default-free forward rates and effective forward credit spreads as lognormal diffusion processes, and recovery is modelled as a fraction of the par value of the defaulted claim. The newly introduced survival...

متن کامل

Multiple stochastic volatility extension of the Libor market model and its implementation

In this paper we propose an extension of the Libor market model with a high-dimensional specially structured system of square root volatility processes, and give a road map for its calibration. As such the model is well suited for Monte Carlo simulation of derivative interest rate instruments. As a key issue, we require that the local covariance structure of the market model is preserved in the...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: International Journal of Theoretical and Applied Finance

سال: 2022

ISSN: ['1793-6322', '0219-0249']

DOI: https://doi.org/10.1142/s0219024922500054