"A Critical Analysis of Bottom-Up Multi-Factor Portfolio Construction"

Are we just fitting our ranking system model to factor noise in individual stocks?

Scientific Beta has a number of good webinars, but this particular one is interesting because it offers direct criticism of the bottom-up approach I employ and illustrates how easy it is to make mistakes in backtesting and optimization when selecting stock criteria (factors).

Does anyone have any thoughts?

Additionally, they have many other engaging webinars.

In summary:

Highlights

  • :bar_chart: Bottom-Up vs. Top-Down: The bottom-up approach utilizes stock-level data, while the top-down approach builds portfolios based on single-factor portfolios.
  • :mag: Reliability of Stock-Level Estimates: Academic literature indicates that stock-level estimates are noisy and unreliable for predicting expected returns.
  • :chart_with_downwards_trend: Breakdown of Single Factor Relationships: The performance of single factors does not maintain consistency at the multi-factor level, challenging the assumptions of bottom-up methodologies.
  • :hammer_and_wrench: Error Maximization in Optimization: Using noisy stock-level data in optimization can lead to concentrated portfolios that do not enhance risk-adjusted returns.
  • :chart_with_upwards_trend: Overstated Back-Tested Performance: The perceived flexibility of bottom-up models may lead to overstated performance metrics due to instability in stock-level relationships.
  • :balance_scale: Diversification vs. Concentration: The bottom-up approach tends to favor concentrated portfolios over the diversification that top-down methodologies promote, potentially reducing long-term risk-adjusted returns.
  • :books: Relying on Academic Research: The presentation underscored the importance of using robust academic studies rather than ad hoc methodologies that do not undergo rigorous peer review.

Key Insights

  • :chart_with_downwards_trend: Unreliable Stock-Level Estimates: The assumption that stock-level factor scores correlate directly with expected returns is flawed. Studies indicate that estimating expected returns at the stock level is challenging due to high noise, leading to substantial inaccuracies in portfolio construction. For investors, relying on such estimates can result in misguided investment decisions.
  • :balance_scale: Complexity in Multi-Factor Relationships: The interaction of factors at the stock level can lead to unpredictable outcomes. The lack of stability in relationships among factors means that combining signals from multiple factors may not yield the anticipated results, as evidenced by studies revealing inconsistent returns across different segments of the same factor.
  • :bulb: Noisy Signals and Error Maximization: When employing mean-variance optimization techniques with noisy stock-level data, there is a risk of concentrating investments in poor-performing stocks. Such concentrated portfolios ultimately diminish the potential for achieving superior risk-adjusted returns, which is counterintuitive to the foundation of effective portfolio management.
  • :mag: Data Mining Risks: The flexibility touted by proponents of bottom-up approaches may inadvertently introduce data mining problems. The use of multiple stock-level variables increases the risk of false positives in performance claims, necessitating adjustments for multiple testing to ensure findings are robust.
  • :bank: Cost of Pursuing Factor Champions: Bottom-up strategies often focus on “factor champions,” or stocks with high factor scores, leading to portfolio concentration. This concentration can undermine diversification benefits, which are essential for achieving higher risk-adjusted returns over the long term.
  • :bar_chart: Importance of Diversification: The findings from the webinar suggest that a diversified portfolio, constructed through a top-down approach, can achieve similar or superior risk-adjusted returns compared to concentrated bottom-up portfolios. By leveraging diversification, investors can mitigate idiosyncratic risks associated with individual stocks.
  • :books: Value of Academic Rigor: The discussion reinforced the necessity for investors to prioritize investment strategies grounded in sound academic research. The reliance on peer-reviewed studies provides a more trustworthy foundation for investment decisions compared to approaches that do not undergo rigorous scrutiny.
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Interesting, I like the last part (Value of Academic Rigor), I construct bottom up, but on factors that are documented by academics, if I find something new, I try to find a paper backing up the assumption...

By the way, I can not open the video... (did they delete it?)...

Searched Scientific Beta site and I believe this is the video referenced:

"A Critical Analysis of Bottom-Up Multi-Factor Portfolio Construction" Webinar on January 25, 2018

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YouTube deleated the link the same as they did to Whcliffes, so I’ll try it this way.

"A Critical Analysis of Bottom-Up Multi-Factor Portfolio Construction" Webinar on January 25, 2018

https://www.youtube.com/watch?v=NI4aVPwGE-M

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Thank you!!!

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I apologize, I noticed that the video disappeared shortly after I published it. However, my point was that many of the webinars on Scientific Beta were interesting because they were very critical of exactly what I do. There is nothing better than hearing the counterarguments to your own process.

Summarized from several videos, the key points are:

  • They argue that it is ineffective to adapt factors from a bottom-up approach because the factor noise at the stock level is so high that it does not provide a valuable prediction for the future.
  • There is rarely a need to include more factors than the 5-7 recognized in the academic literature.
  • Factor scores do not work because they identify stocks that are too factor-intensive, and thus factor concentration and intensity do not function effectively.
  • Several services confuse the few academic factors that work with a variety of accounting principles, where the latter introduces thousands of "factors," but these become so precisely tailored to the data set and are easily "overfitted."

I have reviewed various transcriptions to see what they say about factor scores, here are a few (cut and paste) (I will add more later);

  • factor scores at the individual stock level are somehow proportional to the expected returns now the first thing that we know from the academic literature is it is very difficult to estimate expected returns over even long term time horizons because the expected returns at stock level are very very nois
  • a study by Cedarburg and Oda Hadi that's the most recent study published in 2015 where they show that there is no deterministic link between factor scores and stock returns in fact it's anything but linear
    • we actually show you the stability of the relationship at stock level in other words when you construct a multi-factor score and we look at that correlation through time how stable is that multi-factor score and what we clearly show here the correlations are well below 1 and therefore are not stable through time furthermore this idea of having a more flexible approach at stock level also leads the possibility of data mining so the idea is if you have more and more stocks and more and more degrees of freedom you have it clearly , opens up the door to the potential of of data mining
  • not over exploiting the information in the multi-factor score in contrast if you look to concentrated bottom-up approaches well here actually using the multi-factor score directly at the stock level to actually weight the stocks directly by that score so you're making much more intense use of that score and so if there's a risk that you know depending on how you exactly you define that score you may get different results and that gives you possibilities of doing data

  • ** * bottom-up approach is that the factor scores at the individual stock level are somehow proportional to the expected returns now the first thing that we know from the academic literature is it is very difficult to estimate expected returns over even long term time horizons because the expected returns at stock level are very very noisy and there are classic studies on this on this point by Merton going back to 1970 and of course by Fischer black in 1993 so stock returns are very

  • difficult to estimate and doing that via factor exposures therefore leads to a lot of noise furthermore**

  • we actually show you the stability of the relationship at stock level in other words when you construct a multi-factor score and we look at that correlation through time how stable is that multi-factor score and what we clearly show here the correlations are well below 1 and therefore are not stable through time furthermore this idea of having a more flexible approach at stock level also leads the possibility of data mining ...

    • we see that in general for single factors you can end up with less than one factor and even a lot of multi-factor portfolios a lot of factor portfolios
  • that claim to be multi-factor end up being exposed to only two or three factors they may be targeting five or six but if you actually analyze their factor content you'll see that they're only actually exposed to two or three different factors and part of this problem as well is we measure factor exposure through betas is a lot of pr a lot of products use factor scores and factor scores are not a good way to get exposure to factor

    • factor scores are not the same as factor betas factor scores are determined on a cross-sectional basis and if you design a portfolio based on factor scores you won't get the betas that you are expecting you won't get the betas according to the scores that you were targeting because scores don't take into account a time series correlation so we're very very wary about using scores
  • as a way to construct the factor portfolio because scores are not the same as betas

https://www.youtube.com/watch?v=-HuhkB9Ff14&list=PLMyd8i6uKJxgwfxqSDpx9fJKoy4-TeFCN&ab_channel=ScientificBeta
https://www.youtube.com/watch?v=-HuhkB9Ff14&list=PLMyd8i6uKJxgwfxqSDpx9fJKoy4-TeFCN&index=2&ab_channel=ScientificBeta
https://www.youtube.com/watch?v=WcQUm-eNt_c&list=PLMyd8i6uKJxgwfxqSDpx9fJKoy4-TeFCN&index=3&ab_channel=ScientificBeta
https://www.youtube.com/watch?v=4DWpM7yFVRs&list=PLMyd8i6uKJxgwfxqSDpx9fJKoy4-TeFCN&index=4&ab_channel=ScientificBeta
https://www.youtube.com/watch?v=Q9bp2EO2kh4&list=PLMyd8i6uKJxgwfxqSDpx9fJKoy4-TeFCN&index=5&ab_channel=ScientificBeta
https://www.youtube.com/watch?v=NI4aVPwGE-M&list=PLMyd8i6uKJxgwfxqSDpx9fJKoy4-TeFCN&index=6&ab_channel=ScientificBeta
https://www.youtube.com/watch?v=KA8gZ6tEbLg&list=PLMyd8i6uKJxgwfxqSDpx9fJKoy4-TeFCN&index=7&ab_channel=ScientificBeta
https://www.youtube.com/watch?v=B9Auhz8BLeU&list=PLMyd8i6uKJxgwfxqSDpx9fJKoy4-TeFCN&index=11&ab_channel=ScientificBeta
https://www.youtube.com/watch?v=fGw7uJYA4O0&list=PLMyd8i6uKJxgwfxqSDpx9fJKoy4-TeFCN&index=12&ab_channel=ScientificBeta
https://www.youtube.com/watch?v=YIIT8Gw-ajo&list=PLMyd8i6uKJxgwfxqSDpx9fJKoy4-TeFCN&index=13&ab_channel=ScientificBeta
https://www.youtube.com/watch?v=rZYugq7hq78&list=PLMyd8i6uKJxgwfxqSDpx9fJKoy4-TeFCN&index=14&ab_channel=ScientificBeta
https://www.youtube.com/watch?v=l9A0uHb_Xfk&list=PLMyd8i6uKJxgwfxqSDpx9fJKoy4-TeFCN&index=15&ab_channel=ScientificBeta
https://www.youtube.com/watch?v=7ZYDQ8LjKsU&list=PLMyd8i6uKJxgwfxqSDpx9fJKoy4-TeFCN&index=16&ab_channel=ScientificBeta
https://www.youtube.com/watch?v=e23faxxWaVE&list=PLMyd8i6uKJxgwfxqSDpx9fJKoy4-TeFCN&index=17&ab_channel=ScientificBeta
https://www.youtube.com/watch?v=fNSmWfMmxkc&list=PLMyd8i6uKJxgwfxqSDpx9fJKoy4-TeFCN&index=18&ab_channel=ScientificBeta
https://www.youtube.com/watch?v=ec5kengaPfs&list=PLMyd8i6uKJxgwfxqSDpx9fJKoy4-TeFCN&index=20&ab_channel=ScientificBeta
https://www.youtube.com/watch?v=-l4PgXqGQy4&list=PLMyd8i6uKJxgwfxqSDpx9fJKoy4-TeFCN&index=21&ab_channel=ScientificBeta
https://www.youtube.com/watch?v=tYzoKDaP1wU&list=PLMyd8i6uKJxgwfxqSDpx9fJKoy4-TeFCN&index=23&ab_channel=ScientificBeta

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TL;DR: With a top-down approach, you get an AVERAGING of factors' effects. With a bottom-up approach, you can at least hope for some SUMMATION of the factors' effects.

Maybe this is so obvious that the video didn't think it was worth mentioning.

However, when you use portfolios of single factors, there will always be a ceiling on your expected returns—namely, the return of the portfolio selected based on the best-performing factor. The best factor in isolation sets a ceiling on returns.

In reality, your actual return will be the AVERAGE of the returns of all the single-factor portfolios you fund. This means it is mathematically impossible to achieve the ceiling’s returns across your entire portfolio.

On the other hand, if you select stocks based on multiple factors, you can hope that the factors might SUM to some extent. Factors could be additive, or even synergistic, in certain markets. For instance, a basket of stocks ranking highly on value, growth, and analyst revisions could potentially outperform a basket based on just EBITDA/EV. This could be true even if EBITDA/EV is the best-performing single factor during your investment period, and even if you had perfect foresight about its performance.

Maybe this is just too obvious to include in the video. But I believe it’s the most important consideration, even if it seems obvious. For the video to be complete, they should have explicitly addressed whether the expected excess returns of factors are (or are not) additive. In my opinion, this omission is significant.

That said, the video did present some minor points worth considering.

As for me, I’ll stick with my bottom-up approach, simply because I believe the factors in a ranking system are additive to some extent. I don’t need another reason.

That said, some factors are exclusive, like sector membership. These types of factors cannot simultaneously apply to a single stock. For such cases, it might make sense to borrow from the portfolio methods discussed in the video (e.g., mean-variance optimization) to handle those exclusions effectively. Even then as they correctly point out mean-variance optimization will lead to concentrated portfolios based on too few factors (or sectors). That problem does not go away with the top-down approach that they discussed in the video. They didn't even mention anything of use for those wanting to use a top-down approach in the end.

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