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I am aware of Goyal, Welch and Zafirov's paper A Comprehensive 2022 Look at the Empirical Performance of Equity Premium Prediction that seems to imply there is nothing one can do to predict the return of the stock market next month. Just wondering whether anyone has a different view of this or a different reference.

Richard Hardy
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volcompt
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    And here is a presentation based on Goyal, Welch and Zafirov's paper. – Richard Hardy Feb 26 '24 at 09:01
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    'it seems to imply there is nothing one can do to predict the return of the stock market next month". I would put it a little differently: it implies you can do very good research on predictability that gets published in major journals and is credible (to ppl like me 10 yrs ago) only to find a few years later that a lot of it did not hold up. Which is even more concerning. – nbbo2 Feb 26 '24 at 09:42
  • *Investment bankers start to pick up their pitchforks – KaiSqDist Mar 28 '24 at 17:36

1 Answers1

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I believe it depends on if you are speaking of an individual stock return or a cross section of stock returns. While for the former a stochastic model may seem best, for a cross sectional approach, where we form portfolios based on expected returns, we can use firm based characteristic models using rolling FM slopes such as in;

Lewellen, J. (2015). The cross-section of expected stock returns. Critical Finance Review, 4(1), 1–44. https://doi.org/10.1561/104.00000024

Open access link; Lewellen 2015.

and

Drobetz, W., Haller, R., Jasperneite, C., & Otto, T. (2019). Predictability and the cross section of expected returns: Evidence from the European Stock Market. Journal of Asset Management, 20(7), 508–533. https://doi.org/10.1057/s41260-019-00138-0

Many alternative approaches also exist that focus more on using risk factors or macro economic variables.

Yet of course the point that nbbo2 and Goyal, Welch and Zafirov make is still valid. I can give 2 explanations for this on the spot;

  1. Based on rational pricing theory, Once information of mispricing is published, investors will trade on it, making the mispricing dissapear, thereby diminishing the predictive power of certain anomalies.

Hence it's likely best to have your own model and keep it private if you want to trade on it.

  1. Economic conditions and markets change over time. Remember that we hold a lot of variables fixed and that as regulation, technology and economic conditions change, the impact of certain variables on returns may change. Including risk factors and macroeconomic variables.

Yet despite these two caveats, I'd say it's possible to have an reliable "estimate" of the average return for a cross section of expected stock returns.

Yet that's it's best to use up to date information and your own private model.

EDIT:
To strengthen this case; consider that in the abstract of Lewellen 2015, He states that

Empirically, the forecasts vary substantially across stocks and have strong predictive power for actual returns. For example, using ten-year rolling estimates of Fama-MacBeth slopes and a cross-sectional model with 15 firm characteristics (all based on low-frequency data), the expected-return estimates have a cross-sectional standard deviation of 0.87% monthly and a predictive slope for future monthly returns of 0.74, with a standard error of 0.07.

Likewise Drobetz (2019) states in his conclusion on page 529:

We provide evidence for the predictability in the cross section of European stock returns, using characteristics-based models that are estimated using the classical Fama and MacBeth (1973) approach. Our analysis is strictly out of sample, mimicking an investor who exploits both historical and realtime information on multiple firm characteristics to predict excess returns. Our predictions are not predominantly driven by any single predictor variable, but are rather based on the full interaction of all characteristics included. The composite forecast models capture a considerable amount of the cross-sectional variation in true expected excess returns, as indicated by predictive slopes close to one.

Richard Hardy
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Julien Maas
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    I think the OP is interested in the market, not an individual stock, so that takes care of the first half of your answer. With that out of the way, in my view Goyal et al. present fairly convincing evidence against predictability. Your point seems to be (correct me if I am wrong) that a private model could work even though the published ones all failed. That is possible but how plausible? Do we have any evidence of existence of private models that have worked well? How could we know if their success was not due to luck? Not saying your answer is wrong, but how could you strengthen your case? – Richard Hardy Feb 27 '24 at 11:56
  • Well, I would argue that the studies seem to show that it's possible to develop an effective trading strategy based on expected returns as it's possible to have an relatively reliable estimate of returns (out of sample) using rolling FM slopes, that line up relatively close to the actual returns for a cross section of stocks. Even after the variables have been discovered. I will edit my anwser to include some direct quotes to clarify. Yet the point I was making was that after publishing a study, people may start to trade on the information and the model is less significant (after the study). – Julien Maas Feb 27 '24 at 14:04
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    Part of your quotes suggest relative predictability over the cross section rather than absolute predictability of the market risk premium over time. It would be nice to disentangle the two. – Richard Hardy Feb 27 '24 at 14:12
  • Indeed, my question is about the time-series (market timing if you will), and not about the cross-section. – volcompt Feb 27 '24 at 15:30
  • Okay, Interesting. So if I understand you correctly, what you want is to estimate the market risk premium for all stocks for the next month, using only data known at time t. To determine whether you should invest next month, or wait till there is a better economic period to invest. I think in this case you can still use lagged firm characteristics (e.g ROA, accruals) and real time data (e.g current prices), as does Lewellen, and use past FM slopes. From this you can get an estimate of the return for (all stocks) next month. The excess return over the risk free rate is the MRP. – Julien Maas Feb 27 '24 at 17:16