Pim van Vliet, PhD, is the writer of High Returns from Low Risk: A Remarkable Stock Market Paradox, with Jan de Koning.
Excessive inflation and costly equities result in a damaging risk-return relationship and shrink the fairness premium to zero. In years following this “all the things costly” state of affairs, low-volatility, high quality, worth, and momentum elements yield sizeable constructive premiums.
Given as we speak’s market dynamics, buyers ought to keep away from high-volatility shares or hope for a distinct end result than the historic actuality illustrated on this weblog put up. I’ll display that, whereas the instant future will not be promising for the fairness premium, it appears vivid for issue premiums.
Cash Phantasm
Cash phantasm signifies that buyers fail to take inflation under consideration. It’s a cognitive bias that makes it troublesome to modify from nominal to actual returns, particularly when inflation is 3% or larger. A study by Cohen, Polk, and Vuolteenaho (2004) on inflation and the risk-return relationship stays related as we speak. They use Gordon’s Progress Mannequin, the place an asset value is decided by G, the expansion fee of future earnings, and R, the low cost fee:
Worth = G / R
They cite cash phantasm – the idea that buyers low cost actual earnings with nominal charges reasonably than actual charges. An instance is the broadly used “Fed mannequin,” the place an actual inventory earnings yield is in contrast with a nominal bond yield. Asness (2003) criticizes the Fed mannequin. Academically, this is named the Modigliani-Cohn inflation illusion hypothesis. And it results in market mispricing, inflicting the empirical risk-return relationship to flatten. The determine from their paper, “Money Illusion in the Stock Market,” empirically helps their speculation.
Exhibit 1.
Supply: Cohen, Polk, and Vuolteenaho (2004). Annualized returns on vertical-axis and betas on horizontal-axis.
When inflation is low, the risk-return relationship is constructive, but it surely turns damaging when inflation is excessive. This explains the capital asset pricing mannequin’s (CAPM’s) poor efficiency throughout excessive inflation intervals just like the Nineteen Fifties and Eighties and it helps the Modigliani-Cohn inflation phantasm speculation.

Inflation: First Nail within the CAPM’s Coffin
It has been 20 years for the reason that Cohen et al. (2004) CAPM research was revealed, and US inflation has been above 3% for the previous couple of years. Subsequently, it’s an opportune second to replace and confirm these earlier outcomes. We concentrate on predictive relationships, reasonably than contemporaneous ones, to offer sensible insights for funding selections.
Utilizing information for 10 portfolios sorted by volatility, going again to 1929 from paradoxinvesting.com, we are able to take a look at how the CAPM relationship holds in numerous inflationary regimes. We break up the pattern into two elements utilizing rolling one-year CPI with 3% as the brink and take into account the following one-year actual returns.
Exhibit 2.

Supply: Paradoxinvesting
Utilizing this prolonged database, we are able to verify that the cross-sectional risk-return relationship is damaging in intervals following intervals when inflation is above 3%. The connection isn’t precisely linearly damaging. Reasonably, it’s at first barely constructive earlier than turning into downward sloping for higher-beta shares.
Valuation: Second Nail within the CAPM’s Coffin
In 2024, the Cyclically Adjusted Worth Earnings (CAPE) ratio for the US reached 33, nearing the historical peaks seen in 1929 and 1999. The reciprocal of this measure, the fairness yield, stands at 3.0%. With the true 10-year bond yield at the moment at 1.8%, the surplus CAPE yield is 1.2%. This metric is free from the Fed mannequin’s cash phantasm.
Exhibit 3.

Supply: Robert Shiller On-line Information
In March 2009, the surplus yield was 7.8%, marking the beginning of a chronic bull market. Right this moment’s worth is far decrease than in 2009 and has fallen under the historic median of three.3%. This low CAPE yield means that equities are costly and anticipated returns are extraordinarily low. As well as, threat is larger when fairness yields are low, as I clarify in my 2021 paper.
How does the CAPM relationship maintain in years following excessive and low fairness yields? The 2 graphs in Exhibit 4 illustrate the risk-return relationship when the surplus CAPE yield is above 3% (“equities low-cost”) and under 3% (“equities costly”).
Exhibit 4.

Supply: Paradoxinvesting
Excessive-risk shares carry out poorly in low-return environments that observe costly markets (low extra CAPE yield). This relationship is stronger and extra inverse than in periods of inflation above 3%. After inflation, valuation is the second nail within the CAPM’s coffin. Buyers ought to both hope for a distinct end result this time or keep away from high-volatility shares.

Issue Efficiency in a Low-Return World
If inflation and valuation have certainly undermined the CAPM — leading to a damaging risk-return relationship — it turns into attention-grabbing to guage the efficiency of worth, high quality, and momentum issue methods. To do that, we complement our information with information from Kenneth French. We take into account long-only methods with comparable turnover, specializing in the top-quintile portfolios for low-volatility, worth, and high quality, and the top-half portfolio for momentum.
High quality is outlined as operational profitability and backfilled with the market portfolio. Worth is outlined by the price-to-earnings (P/E) ratio and backfilled with the market portfolio. Momentum is outlined by 12 minus one month returns, and Lowvol is outlined by three-year volatility. We analyze intervals following 1) inflation above 3% and a pair of) the surplus CAPE yield under 3%. These regimes have traditionally low overlap (-0.1 correlation) and each characterize as we speak’s market surroundings.
Exhibit 5.

Sources: Kenneth R. French Information Library and Paradoxinvesting
Within the 12 months following intervals the place inflation exceeds 3%, all issue premiums are constructive, contributing about 3% to the fairness premium. This aligns with a recent study within the Monetary Analysts Journal, which exhibits that issue premiums — together with low-risk, worth, momentum, and high quality — are constructive and important throughout high-inflation intervals. As well as, within the 12 months following costly fairness markets (extra CAPE yield
When these two regimes are mixed — representing 17% of the observations — the fairness premium turns damaging. Nevertheless, all issue methods proceed to supply constructive returns, averaging roughly 3%.
Key Takeaway
On this weblog put up, utilizing publicly obtainable information, we verify that prime inflation results in an inverse risk-return relationship, notably after intervals when equities have been costly. This mispricing of dangerous shares, pushed by buyers utilizing nominal low cost charges and over-optimism, reduces anticipated returns. Low-risk shares, nevertheless, are extra resilient.
Presently, with the surplus CAPE yield under 3% and inflation above 3%, anticipated returns are low. Traditionally, after such intervals, the market return was near zero, however issue methods nonetheless delivered constructive returns of about 3% after inflation. Subsequently, whereas the instant future will not be promising for the fairness premium, it appears vivid for issue premiums.