Yashkir, Yuriy and Yashkir, Olga (2013): Overnight Index Rate: Model, Calibration, and Simulation.
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Abstract
In this study the extended Overnight Index Rate (OIR) model is presented. The fitting function for the probability distribution of the OIR daily returns is based on three different Gaussian distributions which provide modelling of the narrow central peak and the wide fat-tailed component. Calibration algorithm for the model is developed and investigated using the historical OIR data.
Item Type: | MPRA Paper |
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Original Title: | Overnight Index Rate: Model, Calibration, and Simulation |
Language: | English |
Keywords: | Overnight Index Rate, Fat tailed distribution, Calibration, Interest Rate Simulation |
Subjects: | C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C15 - Statistical Simulation Methods: General C - Mathematical and Quantitative Methods > C2 - Single Equation Models ; Single Variables > C22 - Time-Series Models ; Dynamic Quantile Regressions ; Dynamic Treatment Effect Models ; Diffusion Processes |
Item ID: | 47574 |
Depositing User: | Yuriy Yashkir |
Date Deposited: | 13 Jun 2013 05:24 |
Last Modified: | 26 Sep 2019 12:03 |
References: | Francis Benito, Ángel León, and Juan Nave. Modelling the euro overnight rate. Working paper.University of Alicante, (WP-AD 2006-11):1-53, 11 2006. R. H. Byrd, P. Lu, J. Nocedal, and C. Zhu. A limited memory algorithm for bound constrained optimization. SIAM J. Sci. Comput., 16(5):1190-1208, 1995. Sanjiv R. Das. The surprise element: jumps in interest rates. Journal of Econometrics, (106):27-65, 2002. John Hull and Alan White. Libor vs. ois: The derivatives discounting dilemma. Journal of Investment Management, 2013. Olga Yashkir and Yuri Yashkir. Modelling of stochastic fat-tailed auto-correlated processes: an application to short-term rates. Quantitative Finance, 3:195-200, 2003. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/47574 |