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March 15, 2021

Chart of the Week: The ‘Fed model’ and equity prices: market tremors ahead?

by Fathom Consulting.

Most agree on a positive association between the equity earnings yield and the bond yield for two reasons. First, equities and bonds are competing for investor capital. Hence, when the bond yield increases, the equity price should fall so that the earnings yield increases to preserve the competitiveness of equities. Second, the equity price is the sum of its discounted present value future cash flows. Therefore, when interest rates fall, present values rise to decrease the equity earnings yield.

These mechanisms are encapsulated by the ‘Fed model’, which states that, in equilibrium, equity earnings yield should be equal to the long-term bond yield (or, less restrictively, equal times a multiplier reflecting equities’ higher riskiness). Data supports this rationale from the 1960s, also pointing to a lead-lag relationship between the bond yield and the equity earnings yield. The chart shows the S&P 500 earnings yield following the US bond yield at various equity-risk-related multipliers post-2004. The model’s pricing implications are therefore important for policymakers in gauging the effect of changes in monetary policy on yields. They are also important for investors in making optimal capital allocations.

Through the lens of the Fed model, latest data (since 2018) indicate that equity prices are likely to decline compared to earnings in the medium to long term. The bond yield is rising due to stronger macro cyclical conditions and, to a lesser extent, in anticipation of monetary tightening with higher interest rates (since the inflation risk is still low). The earnings yield is currently falling due to collapsed earnings and recovering prices. As the bond yield may start creeping higher due to a stronger inflation risk, equity prices could recede against earnings and the market could panic. When, by how much and for how long partly depends on the timing of any Fed interventions.

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