Abstract:
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The assumption of linearity of factor models is implicit in all empirical applications used
in macroeconomic analysis. We test this assumption in a more general setting than
previously considered using a well-studied macroeconomic dataset on the U.S. economy,
and find strong evidence in support for regime-switching type non-linearity. Furthermore,
we show non-linearity is strongly concentrated in certain groups (such as financial
variables). Our results, which are robust to serial dependence, suggest the assumption of
linearity underpinning factor models might be too strong and gives further support
towards developing models which explicitly account for non-linearity.
Keywords: Factor Model Non-linearity, Regime Change, Transition Variables, LM test.
JEL Classifications: C12; C18; C24; C33; C38. |