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A jump-diffusion model for the euro overnight rate

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  • Mattia Raudaschl

Abstract

In this work we introduce a jump-diffusion process for the euro overnight rate (the European over night index average) that is able to capture the main characteristics of this rate: (i) dynamics constrained to remain in the corridor of official rates fixed by the European Central Bank; (ii) mean reversion towards the official rate on main refinancing operations; and (iii) highly discontinuous pattern (with jumps), also without variations in the official rate. After calibrating the model parameters on historical data, we implement the model to price an overnight indexed swap. Finally, a comparison between our model and the most common short-term interest rate models is presented.

Suggested Citation

  • Mattia Raudaschl, 2012. "A jump-diffusion model for the euro overnight rate," Quantitative Finance, Taylor & Francis Journals, vol. 12(1), pages 149-165, December.
    • Handle: RePEc:taf:quantf:v:12:y:2012:i:1:p:149-165
    DOI: 10.1080/14697688.2010.549142
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    References listed on IDEAS

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    1. Würtz, Flemming Reinhardt, 2003. "A comprehensive model on the euro overnight rate," Working Paper Series 207, European Central Bank.
    2. Gaspar, Vitor & Pérez-Quirós, Gabriel & Rodriguez Mendizabal, Hugo, 2004. "Interest Rate Determination in the Interbank Market," CEPR Discussion Papers 4516, C.E.P.R. Discussion Papers.
    3. Dieter Nautz & Christian J. Offermanns, 2007. "The dynamic relationship between the euro overnight rate, the ECB's policy rate and the term spread," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 12(3), pages 287-300.
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    Cited by:

    1. Olga Yashkir & Yuri Yashkir, 2014. "Overnight Index Rate: Model, calibration and simulation," Cogent Economics & Finance, Taylor & Francis Journals, vol. 2(1), pages 1-11, December.

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