Robeco, The Investments Engineers
blue circle

04-07-2024 · インサイト

What if history rhymes? Equity return scenarios for the next five years

In previous publications1 we showed that high CAPE ratios are indicative of higher expected downside risk and lower expected five-year returns. In this note we explore the latter, by correcting market and defensive equity returns for changes in market multiples, using three future CAPE ratio scenarios.

    執筆者

  • Pim van Vliet - コンサバティブ株式運用責任者 兼 クオンツ株式運用責任者

    Pim van Vliet

    コンサバティブ株式運用責任者 兼 クオンツ株式運用責任者

Multiple expansion has driven equity returns

During the past bull market, equity markets have become increasingly expensive, as measured by the cyclically adjusted price earnings (CAPE) ratio. In June 2024, the US CAPE stood at 34, more than two standard deviations above the historical average of 18. This current value places it in the 96th percentile since 1900. The graph below (Figure 1) illustrates the historical CAPE ratio and includes three potential scenarios for where it might be in five years: 40, 30, and 20.

Figure 1 - US CAPE: 1900-2030

Figure 1 - US CAPE: 1900-2030

Source: Robert Shiller2 and Robeco.

Quantifying the impact of multiple expansion

We can quantify the extent to which past equity returns have been driven by multiple expansion by regressing one-year equity returns on changes in the CAPE ratio. This analysis includes data from 2009 onward and a US sample dating back to 1929 as a robustness check.

Since the CAPE ratio bottomed in March 2009, the MSCI World index has increased by 13.2% annually (EUR). Over the past 15 years the CAPE index has gone up from 13 to 34, an increase of more than 20 points. This multiple expansion has been a large driver of the recent great bull market.

Notably, if we regress one-year equity returns on one-year changes in the CAPE ratio from March 2009 to March 2024, we effectively correct for multiple expansions and reveal the following empirical relationship:

Equity market return = 8.5% + 𝚫 CAPE * 2.7%

This means that the MSCI World returns would have been 8.5%, controlling for changes in the CAPE ratio, which aligns with the long-term average.3 During this prolonged period of multiple expansion, defensive stocks—as measured by Robeco Global Conservative Equities strategy—went up by 12.2% (EUR) trailing the broad market by 1% per year.4 Defensive stock returns tend to be less dependent on market sentiment and multiple expansion. This is confirmed by carrying out the following regression, showing a lower dependency of defensive returns on changes in the CAPE ratio.

Defensive equity return = 9.2% + 𝚫 CAPE * 1.2%

This indicates that defensive equity returns would have been 9.2% over this 15-year period, controlling for changes in CAPE ratio; thus demonstrating the lowered sensitivity to CAPE (1.2% versus the market’s 2.7%). To further highlight the difference between defensive equities and market returns, we plot this relative return against changes in CAPE.

Figure 2 - Relative perfomance defensive and 𝚫 CAPE

Figure 2 - Relative perfomance defensive and 𝚫 CAPE

Source: Robeco. Sample: 2009–2024. Vertical axis: 1-year relative returns (Robeco Conservative - MSCI World). Horizontal axis: 1-year change in CAPE.

If the market CAPE is up, defensive stocks tend to lag the market, and vice versa. Thus, with the CAPE up by 10 points in a year, defensive equities underperformed the broader market by 12%. Conversely, when the market CAPE went down by 10 points, defensive stocks outperformed the market by 15%.5 As a further robustness check, when we use the Conservative Formula and extend this analysis using US data going back all the way to 1929, we find similar and even slightly stronger results.

Cape of good hope

Using this empirical framework, we can explore three possible future scenarios for market valuation five years from now, starting from both the current and a lower, hypothetical CAPE ratio. These scenarios are based on three future CAPE values, assuming all other factors remain constant.

Table 1 – Five-year return forecasts

Table 1 – Five-year return forecasts

Source: Robeco. Five-year return forecasts are based on regression 1 and 2. Estimation period 2009-2024.

First, it shows that a lower starting CAPE level would hypothetically significantly impact returns. If the current CAPE were at the long-term average of 18 rather than the current value of 34, then five-year equity returns would be in the double-digits, similar to what we have witnessed over the past years. However, starting from current CAPE levels, the scenarios are such:

  • CAPE ratio at 20: In this ‘back to normal’ scenario, we see equity returns of around 1%, driven by multiple contraction, or not even keeping up with inflation. This would be a worst-case scenario but defensive equities would hold up well, with returns between 5% and 6%.

  • CAPE ratio at 30: In a 'higher for longer' scenario, equity returns would be a moderate 6% since multiple expansion would not be a tailwind. Defensive equities would perform better, with an 8% return.

  • CAPE ratio at 40: If the CAPE ratio increases further, reaching ‘exuberance’ again, equity returns would exceed 10%, similar to the past 15 years. Defensive equities would also perform well, slightly lagging the market.



As the current CAPE level is the most relevant, in Figure 3 below we summarize five-year outlook for each of our three CAPE scenarios using today’s CAPE level:


Figure 3 –Three CAPE scenarios: 2025-2029

Figure 3 –Three CAPE scenarios: 2025-2029

Source: Table 1, start CAPE 34.

Implications for other strategies

What does this research insight suggest for the performance of other factor-based strategies? Are they also sensitive to CAPE changes? Further tests using the same sample period show that Robeco Enhanced Indexing strategies consistently outperform across different CAPE scenarios. This consistency in relative performance is also observed in Robeco’s active and multi-factor strategies. Additionally, a leveraged version of Conservative Equities, which takes 140% stock positions and has a beta of one, delivers consistent outperformance across the three CAPE regimes, including the exuberance scenario. For these 'beta one' strategies, absolute performance varies with future CAPE levels, while relative performance remains stable. These benchmark-aware strategies consistently deliver positive relative performance throughout the market cycle, whereas defensive equities deliver more consistent absolute performance throughout the cycle, both as intended.

Conclusion

The CAPE ratio significantly influences equity returns, with higher ratios leading to lower expected returns. While multiple expansion has driven substantial market gains in recent years, we ask: what happens if history does rhyme? Defensive equities, with their lower sensitivity to CAPE changes, offer a more stable alternative in most scenarios, especially those in which the market CAPE level goes back to normal.

References

Blitz, D., and van Vliet, P., ‘The conservative formula: quantitative investing made easy’, August 2018, Journal of Portfolio Management.

Shiller, R. J. Irrational exuberance: Revised and expanded third edition. 2016, Princeton University Press.

Van Vliet, P. ‘Risky CAPE, is there an alternative?’ 2021, Robeco white paper.

Swinkels, L. and van der Welle, P. Triple Power Play: 5-year Expected Returns, 2023, Robeco outlook.

Footnotes

1Van Vliet, P. ‘Risky CAPE, is there an alternative?’ 2021, Robeco white paper and Swinkels, L. and van der Welle, P. Triple Power Play: 5-year Expected Returns, 2023, Robeco outlook
2Shiller, R. J. Irrational exuberance: Revised and expanded third edition. 2016, Princeton University Press.
3𝚫CAPE is measured in point changes. For example, a CAPE ratio increase from 20 to 30 in a year corresponds to a value of +10. Log returns and log CAPE changes give similar results The 𝚫 CAPE coefficient is statistically significant, outperforming other tested market and macro indicators, including 1-year changes in inflation, earnings, and VIX. However, this analysis depends on several assumptions, such as the choice of market valuations (earnings) and methodological decisions like the 10-year cycle period and one-year evaluation period. The advantages of the US CAPE ratio are its widespread use and easy public availability. Additionally, several robustness analyses, including deeper sample periods, have been conducted, yielding similar results.
4All figures in EUR based on the net asset value of the representative account of the Robeco QI Institutional Global Developed Conservative Equities strategy since US CAPE bottom, 31 March 2009, gross of fees. The account and reference index are unhedged for currency risk as of 30 June 2012. In reality, costs (such as management fees, transaction- and other costs) are charged. These have a negative effect on the returns shown. The value of your investments may fluctuate. Results obtained in the past are no guarantee for the future.
5This analysis, using data dating back to 1929, has been repeated

重要事項

当資料は情報提供を目的として、Robeco Institutional Asset Management B.V.が作成した英文資料、もしくはその英文資料をロベコ・ジャパン株式会社が翻訳したものです。資料中の個別の金融商品の売買の勧誘や推奨等を目的とするものではありません。記載された情報は十分信頼できるものであると考えておりますが、その正確性、完全性を保証するものではありません。意見や見通しはあくまで作成日における弊社の判断に基づくものであり、今後予告なしに変更されることがあります。運用状況、市場動向、意見等は、過去の一時点あるいは過去の一定期間についてのものであり、過去の実績は将来の運用成果を保証または示唆するものではありません。また、記載された投資方針・戦略等は全ての投資家の皆様に適合するとは限りません。当資料は法律、税務、会計面での助言の提供を意図するものではありません。 ご契約に際しては、必要に応じ専門家にご相談の上、最終的なご判断はお客様ご自身でなさるようお願い致します。 運用を行う資産の評価額は、組入有価証券等の価格、金融市場の相場や金利等の変動、及び組入有価証券の発行体の財務状況による信用力等の影響を受けて変動します。また、外貨建資産に投資する場合は為替変動の影響も受けます。運用によって生じた損益は、全て投資家の皆様に帰属します。したがって投資元本や一定の運用成果が保証されているものではなく、投資元本を上回る損失を被ることがあります。弊社が行う金融商品取引業に係る手数料または報酬は、締結される契約の種類や契約資産額により異なるため、当資料において記載せず別途ご提示させて頂く場合があります。具体的な手数料または報酬の金額・計算方法につきましては弊社担当者へお問合せください。 当資料及び記載されている情報、商品に関する権利は弊社に帰属します。したがって、弊社の書面による同意なくしてその全部もしくは一部を複製またはその他の方法で配布することはご遠慮ください。 商号等: ロベコ・ジャパン株式会社  金融商品取引業者 関東財務局長(金商)第2780号 加入協会: 一般社団法人 日本投資顧問業協会