The Markov switching regime model is often applied to dating business cycle
turning points. Typically, this model is then considered for quarterly sea
sonally adjusted macroeconomic time series. In this paper we show through s
imulations and empirical examples that, when the Markov model is applied to
quarterly seasonally adjusted data, one may find different peaks and troug
hs and hence a different characterization of the business cycle. We also fi
nd different dynamic relations between macroeconomic variables across the b
usiness cycle. In other words, we answer the question in the title affirmat
ively.