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Modeling the dynamics of interest rate volatility with skewed fat-tailed distributions

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Abstract

This paper proposes generalized parametric models of the short-term interest rate that nest one-factor CEV and discrete time GARCH models. The paper estimates the generalized and nested models with skewed fat-tailed distributions to determine the correct specification of the conditional distribution of interest rates. The results indicate that the discrete time models that incorporate the level and GARCH effects into the diffusion function and that accommodate the tail-thickness of the interest rate distribution perform much better than the CEV model in forecasting the future volatility of interest rates. The results also show that the significance of nonlinearity in the drift function relies crucially on the specification of the volatility function.

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Authors and Affiliations

  1. Department of Economics and Finance, Zicklin School of Business, Baruch College, CUNY, 55 Lexington Avenue, Box B10-225, New York, NY, 10010, USA

    Turan G. Bali (Professor of Finance)

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  1. Turan G. Bali
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Correspondence to Turan G. Bali.

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Bali, T.G. Modeling the dynamics of interest rate volatility with skewed fat-tailed distributions. Ann Oper Res 151, 151–178 (2007). https://doi.org/10.1007/s10479-006-0116-6

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