What are the sources of data for estimating Equity Risk Premium?

Explore the various sources of data used by analysts and investors to estimate the Equity Risk Premium, a key parameter in financial analysis.


Estimating the Equity Risk Premium (ERP) is a critical component of various financial and investment analyses, particularly in the context of the Capital Asset Pricing Model (CAPM) and other valuation models. The ERP represents the additional return that investors expect to receive for taking on the risk of investing in equities (stocks) compared to a risk-free investment, such as government bonds. There are several sources of data commonly used to estimate the ERP:

  1. Historical Data:

    • Historical Stock Returns: One approach to estimating the ERP is to analyze historical stock market returns. This involves looking at historical stock price data and calculating the average historical excess returns of stocks (i.e., returns above the risk-free rate) over a long time period, often several decades. Historical data can be obtained from financial databases and market indices.
    • Historical Bond Yields: Estimating the ERP also requires historical data on government bond yields or other risk-free rates. The yield on long-term government bonds is typically used as the risk-free rate.
  2. Surveys and Studies:

    • Analyst Surveys: Some financial institutions and organizations conduct surveys of financial analysts and market participants to gather their opinions and forecasts on future equity returns. These surveys can provide valuable insights into market expectations.
    • Academic Studies: Academic research often produces studies on equity risk premiums, using various methodologies. These studies may analyze historical data, macroeconomic factors, and other variables to estimate the ERP.
  3. Financial Databases:

    • Financial Data Providers: Commercial financial data providers like Bloomberg, FactSet, and Thomson Reuters compile and provide data related to equity market performance, risk-free rates, and other financial metrics. These databases can be valuable sources for estimating the ERP.
  4. Government Bond Yields:

    • Government Yield Curves: The yield curve for government bonds, such as U.S. Treasury bonds, provides information on interest rates at different maturities. The yield on a long-term government bond is often used as a proxy for the risk-free rate.
  5. Implied ERP:

    • Option Pricing Models: Some researchers use option pricing models like the Black-Scholes model to derive implied equity risk premiums. By comparing the implied volatility from options prices to historical volatility, one can estimate the implied ERP.
  6. Economic Indicators:

    • Macroeconomic Factors: Economic indicators such as inflation rates, GDP growth, and interest rate trends can also influence the ERP. Analysts may incorporate these factors into their estimates of future equity returns.
  7. Risk-Free Rate Proxy:

    • Corporate Bond Yields: In the absence of government bond yield data, corporate bond yields with a similar risk profile can be used as a proxy for the risk-free rate.
  8. Real Estate Data:

    • Real Estate Returns: Some investors and analysts include real estate returns in their estimates of the ERP, especially if real estate is considered an alternative investment to stocks.

It's important to note that different sources and methodologies may yield different estimates of the ERP. Additionally, the ERP can vary by region, country, and time period, so analysts often adjust their estimates to reflect specific market conditions and risk factors. When estimating the ERP, it's crucial to use reliable data sources, consider the time horizon of the analysis, and be aware of the limitations and assumptions inherent in the chosen methodology.

Data Sources for Estimating the Equity Risk Premium.

There are a number of data sources that can be used to estimate the equity risk premium (ERP). Some of the most common sources include:

  • Historical stock returns: The ERP can be estimated by subtracting the historical returns of a risk-free asset, such as government bonds, from the historical returns of a stock market index. This approach is simple and straightforward, but it can be subject to survivorship bias, which is the tendency to overweight the returns of stocks that have survived over time and underweight the returns of stocks that have gone bankrupt.
  • Forward-looking surveys: A number of surveys are conducted each year to ask investors and economists for their forecasts of future stock returns. These surveys can be used to estimate the ERP by assuming that investors are rational and that their forecasts are unbiased. However, it is important to note that these surveys can be subject to biases, such as overconfidence bias.
  • Empirical asset pricing models: A number of empirical asset pricing models have been developed to estimate the ERP. These models use historical data to estimate the relationship between stock returns and other factors, such as risk-free rates, inflation, and market volatility. Empirical asset pricing models can be complex and difficult to interpret, but they can provide more accurate estimates of the ERP than historical stock returns or forward-looking surveys.

Here are some specific data sources that can be used to estimate the ERP using each of the three methods described above:

Historical stock returns:

  • Compustat: Compustat is a database of financial information for publicly traded companies. It can be used to calculate historical stock returns for a variety of stock market indices.
  • Federal Reserve Economic Data (FRED): FRED is a database of economic data maintained by the Federal Reserve Bank of St. Louis. It includes historical data on government bond yields, which can be used to calculate the risk-free rate of return.

Forward-looking surveys:

  • Survey of Professional Forecasters (SPF): The SPF is a quarterly survey conducted by the Federal Reserve Bank of Philadelphia. It asks professional forecasters to provide their forecasts for a variety of economic variables, including future stock returns.
  • Institutional Investor Confidence Survey: The Institutional Investor Confidence Survey is a quarterly survey conducted by Institutional Investor magazine. It asks institutional investors to provide their forecasts for a variety of economic variables, including future stock returns.

Empirical asset pricing models:

  • Capital Asset Pricing Model (CAPM): The CAPM is a simple but effective model that can be used to estimate the ERP. It uses historical data to estimate the relationship between stock returns and the risk-free rate of return.
  • Fama-French three-factor model: The Fama-French three-factor model is an extension of the CAPM that includes two additional factors: market size and book-to-market equity. It can provide more accurate estimates of the ERP than the CAPM, but it requires more historical data to estimate the model parameters.

It is important to note that no single data source is perfect for estimating the ERP. It is generally advisable to use a combination of data sources to get a more accurate estimate.