“…These factors unbalance the pricing data and complicate econometric construction of a price index due to problems of heterogeneous, 1 The recent literature has witnessed an upsurge of interest in studying real estate markets from perspectives of banking, financial and macroprudential policy. See, for example, the study of the relationship between real estate prices and banking instability (Koetter and Poghosyan, 2010;Reinhart and Rogoff, 2013), the market linkage among different assets (Chan et al, 2011), the impact of macroprudential policy on housing prices (Shi et al, 2013;Mendicino and Punzi, 2014), the role of housing markets for macroeconomy (Iacoviello, 2005;Musso et al, 2011). missing, and unequally spaced observations.…”