This paper confirms that a regime-switching model out-performs a linear VAR model in terms of understanding the system dynamics of asset returns. Impulse responses of REIT returns to either the federal funds rate or the interest rate spread are much larger initially but less persistent. Furthermore, the term structure acts as an amplifier of the impulse response for REIT return, a stabilizer for the housing counterpart under some regime, and, perhaps surprisingly, almost no role for the stock return. In contrast, GDP growth has very marginal effect in the impulse response for all assets.

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A bivariate Markov regime switching model is employed to verify whether the relationship between inflation and inflation uncertainty, or the negative effects of inflation and inflation uncertainty on output growth, vary with the level of inflation. Inflation and inflation uncertainty are positively correlated in the high-inflation regime. In contrast, in the low-inflation regime, the direct effect of inflation on output growth is insignificant, but the indirect negative effect on growth via inflation uncertainty is highly significant. The negative influence in a high-inflation regime is 2.664 times greater than that in a low-inflation regime. Copyright � 2010 The Authors. Journal compilation � 2010 Blackwell Publishing Ltd and The University of Manchester.

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