Tuesday, October 27, 2020 7:05 PM EST
Each home price index uses a different methodology - and this creates slightly different answers.
The most broadly based index is the US Federal Housing Finance Agency's House Price Index (HPI) - a quarterly broad measure of the movement of single-family house prices. This index is a weighted, repeat-sales index on the same properties in 363 metro centers, compared to the 20 cities Case-Shiller.
The US Federal Housing Finance Agency also has an index (HPIPONM226S) based on 6,000,000 same home sales - a much broader index than Case-Shiller. Also, there is a big difference between home prices and owner's equity (OEHRENWBSHNO) which has been included in the graph below.
Comparing Various Home Price Indices to Owner's Equity (blue line)


The affordability factor favors rental vs owning.
Price to Rent Ratio - Indexed on January 2000 - Based on Case-Shiller 20 cities index ratio to CPI Rent Index

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