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I want to get the raw number of units of housing stock that there is in a particular city in month $X$ of year $Y$ (even yearly data would be fine). This place shows yearly stock from 2010 onwards. Here shows data for every 10 years. This link makes me think there should be more yearly data since this has 2013 data.
Is there anywhere I can find a more comprehensive data set?
There really isn't high-frequency data out there for free, but bi-annual data are available from the Census American Housing Survey. The survey goes back to 1973, though data at the metropolitan area level don't go back that far. Also, the data are extrapolated from a sample, so caveats apply.
