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Modeling the conditional mean and variance of the short rate using diffusion, GARCH, and moving average models

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  • Turan G. Bali

Abstract

This article introduces a two‐factor‐discrete‐time‐stochastic‐volatility model that allows for departures from linearity in the conditional mean and incorporates serially correlated unexpected news, asymmetry, and level effects into the definition of conditional volatility of the short rate. The new class of econometric specifications nests many popular existing symmetric and asymmetric GARCH as well as diffusion models of the short‐term interest rate. This study attempts to determine the correct specification of conditional mean and variance of the short rate by developing a more general econometric framework that allows for nonlinear effects in the drift of the short rate, and that defines the conditional volatility as a nonlinear function of unexpected information shocks and interest rate levels. The existing and alternative models are compared in terms of their ability to capture the stochastic behavior of the short‐term riskless rate. The empirical results indicate that the relative performance of the two‐factor models in predicting the future level and variance of interest‐rate changes is superior to the nested models. © 2000 John Wiley & Sons, Inc. Jrl Fut Mark 20:717–751, 2000

Suggested Citation

  • Turan G. Bali, 2000. "Modeling the conditional mean and variance of the short rate using diffusion, GARCH, and moving average models," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 20(8), pages 717-751, September.
    • Handle: RePEc:wly:jfutmk:v:20:y:2000:i:8:p:717-751
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    Cited by:

    1. Li, Gang & Li, Yong, 2015. "Forecasting copper futures volatility under model uncertainty," Resources Policy, Elsevier, vol. 46(P2), pages 167-176.
    2. O.T. Henry & S. Suardi, 2005. "Testing For Asymmetry In Interest Rate Volatility In The Presence Of A Neglected Level Effect," Department of Economics - Working Papers Series 945, The University of Melbourne.
    3. Shu Wu, 2007. "Interest Rate Risk and the Forward Premium Anomaly in Foreign Exchange Markets," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(2‐3), pages 423-442, March.
    4. Prateek Sharma & Vipul _, 2015. "Forecasting stock index volatility with GARCH models: international evidence," Studies in Economics and Finance, Emerald Group Publishing Limited, vol. 32(4), pages 445-463, October.

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