Estimating location premia using fixed effects—A semi-local approach
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Abstract
In this article, we develop a novel method for measuring the value of location within a metropolitan area. By estimating overlapping “semi-local” regressions and exploiting the symmetry among them, we are able to construct a surface of the relative value of location within a metropolitan area. This methodology maintains the simplicity of using location fixed effects while resolving the omitted variable bias that arises from the traditional application in hedonic regressions. We demonstrate our semi-local approach using a flexible, hex-based geography. We also show that it can be generalized and applied to other geographies such as census tracts. Using data from Maricopa County (Phoenix), we find that every geography we employ supports the same conclusion: the premium for location is decidedly nonmonocentric, asymmetric, and highly dynamic. This dynamism conflicts with the typical assumptions associated with the use of fixed effects in the construction of aggregate price indexes, and potentially complicates the interpretation of difference-in-difference methods. © 2025 American Real Estate and Urban Economics Association.

