Sf. Gray, MODELING THE CONDITIONAL DISTRIBUTION OF INTEREST-RATES AS A REGIME-SWITCHING PROCESS, Journal of financial economics, 42(1), 1996, pp. 27-62
This paper develops a generalized regime-switching (GRS) model of the
short-term interest rate. The model allows the short rate to exhibit b
oth mean reversion and conditional heteroskedasticity and nests the po
pular generalized autoregressive conditional heteroskedasticity (GARCH
) and square root process specifications. The conditional variance pro
cess accommodates volatility clustering and dependence on the level of
the interest rate. A first-order Markov process with state-dependent
transition probabilities governs the switching between regimes. The GR
S model is compared with various existing models of the short rate in
terms of (1) the statistical fit of short-term interest rate data and
(2) out-of-sample forecasting performance.