House price index

A house price index (HPI) measures the price changes of residential housing as a percentage change from some specific start date (which has HPI of 100). Methodologies commonly used to calculate a HPI are the hedonic regression (HR), simple moving average (SMA) and repeat-sales regression (RSR).
United States.
FHFA/OFHEO.
The US Federal Housing Finance Agency (formerly Office of Federal Housing Enterprise Oversight a.k.a. OFHEO) publishes the HPI index, a quarterly broad measure of the movement of single-family house prices.
The HPI is a weighted, repeat-sales index, meaning that it measures average price changes in repeat sales or refinancings on the same properties in 363 metropolises. This information is obtained by reviewing repeat mortgage transactions on single-family properties whose mortgages have been purchased or securitized by Fannie Mae or Freddie Mac since January 1975.
Since the HPI index only includes houses with mortgages within the conforming amount limits, the index has a natural cap and does not account for jumbo mortgages.
The HPI was developed in conjunction with OFHEO's (now FHFA) responsibilities as a regulator of Fannie Mae and Freddie Mac. It is used to measure the adequacy of their capital against the value of their assets, which are primarily home mortgages.
On July 30, 2008 OFHEO became part of the new Federal Housing Finance Agency (FHFA). The index is now termed the FHFA HPI.
S&P/Case-Shiller indexes.
The Case-Shiller index prices are measured monthly and track repeat sales of houses using a modified version of the weighted-repeat sales methodology proposed by Karl Case and Robert Shiller and Allan Weiss. This means that, to a large extent, it is able to adjust for the quality of the homes sold, unlike simple averages.
As a monthly tracking index, the Case-Shiller index has a long lag time. Typically, it takes about 2 months for S&P to publish the results, as opposed to 1 month for most other monthly indices and indicators. Specific indexes are available for specific metropolitan areas, and composite indexes for the top 20 and top 10 metro areas, and nationwide.
FNC Residential Price Index.
FNC Inc. publishes the Residential Price Index, which is based on data collected from public records blended with data from real-time appraisals of property and neighborhood attributes. The RPI is the mortgage industry's first hedonic price index for residential properties. The RPI is constructed to gauge price movement among non-distressed home sales, and excludes sales of foreclosed properties.
As a monthly tracking index, the RPI has a lag time of about two months. Specific indices are available for specific metropolitan areas, and composite indices are available for the top 10, 20, 30, and 100 metro areas. The RPI is also available at the zip code level and can be constructed to track price trends for specific characteristics (e.g., ranch-style house, colonial-style house, etc.) since preferences can change over time.
HouseCanary Home Price Index.
HouseCanary publishes monthly HPI data at block, block group, zipcode, metro division and metropolitan levels. These indices include forecasts up to 3 years into the future. 
United Kingdom.
House Price Indices (HPIs) have been produced in the UK since around 1973, initially by mortgage-providers, and more recently by government bodies. More recently, they have come from property market websites. 
Ireland.
In the Republic of Ireland, the Central Statistics Office publishes a monthly Residential Property Price Index. Up until 2011, Permanent TSB and the Economic and Social Research Institute published a similar monthly houseprice index.
India.
In India, National Housing Bank completely owned by Reserve Bank of India computes an index termed NHB RESIDEX. The index was formulated based on a pilot study covering 5 cities, Delhi, Mumbai, Kolkata, Bangalore and Bhopal representing the five regions of the country. Actual transactions prices are used to compute an Index reflecting the market trends. 2007 is taken as the base year for the study to be comparable with the WPI and CPI. It now covers Delhi with NCR, Bangalore, Mumbai, Kolkata, Bhopal, Hyderabad, Faridabad, Patna, Ahmedabad, Chennai, Jaipur, Lucknow, Pune, Surat, Kochi, Bhubaneshwar, Guwahati, Ludhiana, Vijayawada, Indore, Chandigarh, Coimbatore, Dehradun, Meerut, Nagpur and Raipur. The index shows that the prices have doubled in cities like Mumbai, Delhi and Bhopal, but have declined in Hyderabad and Kochi.
Canada.
In Canada, the New Housing Price Index is calculated monthly by Statistics Canada. Additionally, a resale house price index is also maintained by the Canadian Real Estate Association, based on reported sale prices submitted by real estate agents, and averaged by region. In December 2008, the private National Bank and the information technology firm Teranet began a separate monthly house price index based on resale prices of individual single-family houses in selected metropolitan areas, using a methodology similar to the Case-Shiller index and based on actual sale prices taken from government land registry databases. This allows Teranet and the National Bank to track prices without allowing periods of high sales in one city to push up the national average. The National Bank also operates a forward market on Canadian housing prices.