Fed Model
Category
Related Terms
Browse by Category
What Is the Fed Model?
The Fed Model is a market valuation tool that compares the earnings yield of the S&P 500 to the yield on 10-year U.S. Treasury bonds to determine if stocks are fairly valued relative to bonds.
The Fed Model is a rule of thumb used by equity strategists to assess the relative value of the stock market. It gained popularity in the late 1990s and is often attributed to a chart included in the Federal Reserve's Humphrey-Hawkins report in July 1997, although the Fed itself never officially adopted it as a policy tool. The name was coined by Wall Street analyst Ed Yardeni. The model is based on a simple comparison between two competing asset classes: stocks and bonds. Specifically, it compares the "Stock Return Potential," represented by the Earnings Yield of the S&P 500, against the "Risk-Free Return," represented by the yield on the 10-year U.S. Treasury note. The Earnings Yield is simply the inverse of the Price-to-Earnings (P/E) ratio (Earnings divided by Price). The underlying logic is that stocks and bonds compete for investor capital. If bonds are paying a high interest rate, stocks must offer a higher earnings yield (lower P/E) to be attractive. Conversely, when interest rates are low, investors should be willing to pay higher prices for stocks (accepting a lower earnings yield) because the alternative (bonds) offers such a poor return. The Fed Model suggests that these two yields should generally move in tandem.
Key Takeaways
- The Fed Model compares the stock market's earnings yield (E/P) to the 10-year Treasury yield.
- If the earnings yield is higher than the Treasury yield, stocks are considered undervalued (attractive).
- If the earnings yield is lower than the Treasury yield, stocks are considered overvalued (expensive).
- It assumes that stocks and bonds are competing assets and that investors arbitrage between them.
- The model was never officially endorsed by the Federal Reserve, despite its name.
- Critics argue it ignores the equity risk premium and inflation expectations.
How the Fed Model Works
The core formula of the Fed Model states that when the S&P 500 Earnings Yield equals the 10-year Treasury Yield, the stock market is fairly valued. Any deviation from this equilibrium signals a potential buying or selling opportunity. The mechanics are straightforward: 1. Calculate Earnings Yield: Take the consensus 12-month forward earnings estimate for the S&P 500 and divide it by the current index level. For example, if the S&P 500 is at 4,000 and expected earnings are $200, the Earnings Yield is 5% (200 / 4000). This is equivalent to a P/E ratio of 20. 2. Check Treasury Yield: Look up the current yield on the 10-year U.S. Treasury note. Let's say it is 4%. 3. Compare the Spread: Subtract the Treasury Yield from the Earnings Yield. In this example: 5% - 4% = +1%. Interpretation: * Undervalued: If the S&P 500 Earnings Yield is higher than the 10-Year Treasury Yield, the spread is positive. The model suggests stocks offer better value than bonds. * Overvalued: If the S&P 500 Earnings Yield is lower than the 10-Year Treasury Yield, the spread is negative. The model suggests stocks are expensive relative to bonds and should be sold. * Fairly Valued: If the yields are equal, the market is in equilibrium.
Step-by-Step Guide to Using the Fed Model
Investors can easily track the Fed Model themselves to get a read on market valuation. Here is the process: 1. Find the S&P 500 P/E Ratio: Look up the current forward P/E ratio of the S&P 500 from a financial news site or data provider. Ensure it is the *forward* P/E (based on expected earnings), not the trailing P/E. 2. Calculate Earnings Yield: Divide 1 by the P/E ratio. For example, if the P/E is 25, the calculation is 1 / 25 = 0.04, or 4%. 3. Find the 10-Year Treasury Yield: Look up the current yield on the 10-year U.S. Treasury note (ticker: TNX). 4. Calculate the Spread: Subtract the Treasury yield from the earnings yield. 5. Analyze the Result: * Positive Spread: Stocks are yielding more than bonds. The larger the spread, the more "cheap" stocks are considered. * Negative Spread: Stocks are yielding less than bonds. This is a warning sign that stocks may be overvalued or that bond yields are becoming too attractive to ignore. * Zero Spread: The market is at "fair value" according to the model. Investors can plot this spread over time to see if the current reading is historically high or low.
Important Considerations for Investors
While the Fed Model is intuitively appealing, it relies on several critical assumptions that may not hold true in all economic environments. First, it assumes that earnings are as reliable as bond coupons. In reality, bond coupons are fixed and guaranteed by the government (nominal), while corporate earnings fluctuate with the economy and grow over time (real). Second, the model implies that the "Equity Risk Premium"—the extra return investors demand for taking the risk of owning stocks over safe bonds—should be zero. Historically, investors have demanded a premium of 3% to 5% to own stocks. A model that suggests stocks are "fairly valued" when they yield the same as risk-free bonds ignores this fundamental risk relationship. Third, inflation impacts stocks and bonds differently. High inflation hurts bonds (fixed payments lose value) but can help stocks (companies can raise prices). The Fed Model often gives false "sell" signals during high inflation because bond yields soar while earnings yields may not rise as quickly.
Advantages of the Fed Model
The primary advantage of the Fed Model is its simplicity. It provides a quick, back-of-the-envelope calculation that contextualizes stock market valuations against the backdrop of interest rates. It helps explain why a P/E ratio of 20 might be "expensive" when interest rates are 6% but "cheap" when interest rates are 2%. It also serves as a useful reality check during periods of extreme market valuation. By linking equity prices to the cost of capital (interest rates), it reminds investors that stock prices cannot defy gravity forever if rates are rising. It was particularly effective in identifying the extreme overvaluation of the Dot-Com Bubble in the late 1990s, when earnings yields fell significantly below bond yields.
Disadvantages and Criticisms
Critics argue that the Fed Model is theoretically flawed. As mentioned, comparing a real asset (stocks) to a nominal asset (bonds) is an "apples to oranges" comparison. In the long run, stock earnings grow with inflation, while bond payments do not. Therefore, stocks *should* trade at a lower initial yield than bonds to account for that growth potential. Furthermore, the model has a poor track record as a timing tool. For nearly the entire period from 2009 to 2021, the Fed Model signaled that stocks were "massively undervalued" because interest rates were held near zero by central banks. While stocks did rise, the magnitude of the signal (often suggesting 50%+ undervaluation) was distorted by Quantitative Easing (QE), making the model less useful for tactical asset allocation.
Real-World Example: 1999 vs. 2020
Comparing valuations at two different market peaks reveals how interest rates change the definition of "expensive."
FAQs
Common questions about the Fed Model:
- Why is it called the Fed Model? It was named by analyst Ed Yardeni after the Federal Reserve included a chart comparing earnings yields to Treasury yields in its 1997 Humphrey-Hawkins report.
- Does the Fed actually use it? No, the Federal Reserve has never officially endorsed the model as a policy tool for setting interest rates or valuing the market.
- Is a higher spread better? Yes, a higher positive spread (Earnings Yield > Bond Yield) suggests stocks are more attractive relative to bonds.
- What is the Equity Risk Premium? It is the excess return investors demand for holding risky stocks over risk-free bonds. The Fed Model effectively ignores this premium.
FAQs
It is still widely watched but less relied upon as a standalone indicator. In the low-interest-rate era of 2009-2021, the model consistently showed stocks as "cheap" for over a decade. Critics argue that when rates are artificially suppressed by central banks (Financial Repression), the signal becomes distorted. Most modern strategists use it as just one input alongside other metrics like CAPE (Cyclically Adjusted P/E) ratio.
The Equity Risk Premium (ERP) is the excess return that investing in the stock market provides over a risk-free rate. While the Fed Model implies the spread should be zero, most financial theory suggests investors need a premium (historically 3-5%) to compensate for the volatility of stocks. Therefore, a spread of 0% might actually mean stocks are expensive, not fairly valued.
Take the earnings per share (EPS) of the index over the last 12 months (or expected forward 12 months) and divide it by the current index price. Alternatively, just invert the P/E ratio (1 divided by P/E). For example, a P/E ratio of 20 corresponds to an earnings yield of 5% (1/20 = 0.05).
A negative spread means the 10-year Treasury yield is higher than the S&P 500 earnings yield. Historically, this has often been a bearish signal for stocks, suggesting they are overvalued relative to bonds. It occurred famously before the 1987 crash and the 2000 Dot-Com bubble burst.
Yes, the logic can be applied to individual stocks by comparing a stock's specific earnings yield to the 10-year Treasury yield (or a corporate bond yield). However, individual stocks carry specific company risks that the broad market index does not, so a higher risk premium is usually required.
The Bottom Line
The Fed Model provides a quick and intuitive way to assess stock market valuation in the context of interest rates. By recognizing that stocks don't exist in a vacuum but compete with bonds for investment dollars, it helps explain why valuations fluctuate. It offers a rational framework for understanding why high P/E ratios might be justified when interest rates are historically low, and why low P/E ratios might be necessary when rates are high. However, investors should be wary of using it as a precise timing tool. Its failure to account for inflation dynamics and the necessary equity risk premium means it can give misleading signals, particularly during periods of economic instability or artificial rate suppression. It is best used as one of many tools in a broader valuation framework, rather than a definitive buy or sell signal.
Related Terms
More in Valuation
At a Glance
Key Takeaways
- The Fed Model compares the stock market's earnings yield (E/P) to the 10-year Treasury yield.
- If the earnings yield is higher than the Treasury yield, stocks are considered undervalued (attractive).
- If the earnings yield is lower than the Treasury yield, stocks are considered overvalued (expensive).
- It assumes that stocks and bonds are competing assets and that investors arbitrage between them.