The Evolution of House Price Distribution

         
Author Name OHNISHI Takaaki  (Canon Institute for Global Studies / the University of Tokyo) /MIZUNO Takayuki  (University of Tsukuba) /SHIMIZU Chihiro  (Reitaku University) /WATANABE Tsutomu  (Faculty Fellow, RIETI / Hitotsubashi University)
Creation Date/NO. March 2011 11-E-019
Research Project Study Group on Changes in Financial and Industrial Structures
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Abstract

Is the cross-sectional distribution of house prices close to a lognormal distribution, as is often assumed in empirical studies on house price indexes? How does the distribution evolve over time? To address these questions, we investigate the cross-sectional distribution of house prices in the Greater Tokyo Area. We find that house prices (Pi) are distributed with much fatter tails than a lognormal distribution and that the tail is quite close to that of a power-law distribution. We also find that house sizes (Si) follow an exponential distribution. These findings imply that size-adjusted house prices, defined by lnPi - aSi, should be normally distributed. We find that this is indeed the case for most of the sample period, but not the bubble era, during which the price distribution has a fat upper tail even after adjusting for size. The bubble was concentrated in particular areas in Tokyo, and this is the source of the fat upper tail.