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Factor Portfolios and Cap-Weighted Benchmarks: Bridging the Tracking Error Gap

by Joseph Simonian, PhD
October 19, 2024
in Investing
Reading Time: 9 mins read
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Regardless of a quick return to normalcy in 2022, fairness issue methods have skilled efficiency challenges relative to cap-weighted indexes for the reason that COVID-19-induced market crash of 2020. Whereas there are numerous explanations for these challenges, our focus right here is on one other query:

Is it doable to retain the advantages and economically sound foundation of an element method to fairness investing whereas extra intently aligning an element portfolio’s efficiency with a cap-weighted benchmark?

Earlier than we reply that, allow us to briefly assessment the drawbacks of cap-weighted indexes. In cap-weighted indexes, corporations with greater market caps obtain a better weighting within the index. Smaller corporations, alternatively, which presumably have essentially the most room to develop, obtain a decrease weighting. The chance inherent in investing in cap-weighted index methods is threefold. One, they might expertise losses as corporations with the most important weights “imply revert” to lower cost ranges. Second, by underweighting smaller corporations, cap-weighted methods might stop buyers from meaningfully benefiting from corporations with essentially the most progress potential. Lastly, cap-weighted index methods are comparatively concentrated in a small subset of the most important shares. This lack of diversification runs towards a cornerstone of contemporary investing and leaves buyers weak to vital draw back danger if a number of of the most important corporations within the index expertise massive drawdowns.

In distinction, a correctly constructed fairness issue technique can be pushed by danger elements which have been proven to reward buyers over the long run. These elements — Worth, Momentum, Dimension, Profitability, Funding, and Low Volatility — have been empirically validated over a number of many years by numerous researchers and possess a transparent and intuitive financial rationale. Multi-factor portfolios which have publicity to all six elements are usually extra diversified and decrease volatility funding automobiles in contrast with cap-weighted indexes and the merchandise that emulate their habits. Whereas the latter traits have served issue portfolios effectively, as we now have seen, in some market environments, fairness issue portfolios might underperform cap-weighted methods. The query is: Is there a approach to retain the advantages of issue investing whereas staying extra aligned with the efficiency of cap-weighted indexes?

What Is to Be Finished?

As we present under, a binary alternative between issue investing and cap-weighted-like efficiency will not be essential. Whereas tilting in direction of cap-weighted benchmarks in a wholesale method will doubtless not profit buyers in the long term, there’s a center approach: proceed investing in an element technique however apply monitoring error constraints to scale back the efficiency hole between cap-weighted and “unconstrained” issue portfolios over a given interval. As our evaluation demonstrates, making use of the latter changes to an element portfolio has each execs and cons, each within the quick and long run.

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How Do Monitoring Error Constrained Issue Portfolios Behave?

The chart under reveals the latest efficiency variations between a regular six issue portfolio –the place every issue has equal weight — and monitoring error (TE) constrained variants of it. After we apply TE constraints, the desk signifies the efficiency hole between the issue portfolios and the cap-weighted index shrinks significantly. The associated fee that these portfolios pay, nonetheless, is round 100 foundation factors (bps) of extra volatility and a deterioration of draw back safety, as measured by most drawdown.


Issue Portfolios with Monitoring Error Constraints,
31 December 2022 to 30 June 2023

Cap
Weighted
Six Issue
Equal Weight
Six Issue
Equal Weight
1% TE Goal
Six Issue
Equal Weight
2% TE Goal
Return17.13%6.04%14.70%12.38%
Volatility14.44%13.10%14.05%13.72%
Sharpe
Ratio
1.010.270.870.72
Max. Drawdown7.43%7.90%7.51%7.61%
Relative
Return
–-11.09%-2.43%-4.75%
Monitoring
Error
–4.65%0.98%1.95%
Data
Ratio
–n/rn/rn/r
Max. Relative
Drawdown
–10.04%2.19%4.29%

The sector composition of the TE-controlled portfolios within the following desk reveals that the sturdy underexposure to the Expertise sector falls considerably relative to the usual multi-factor portfolio. This will not come as a lot of a shock. In spite of everything, bigger expertise corporations have been one of many main drivers of the outperformance of cap-weighted automobiles relative to fairness issue methods.


Sector Allocations as of 30 June 2023

Cap Weight-edSix Issue
Equal Weight
Six Issue
Equal Weight
1% TE Goal
Six Issue
Equal Weight
2% TE Goal
AbsoluteWeightRelative WeightAbsolute WeightRelative WeightAbsolute WeightRelative Weight
Power4.7%6.3%2.0%5.3%0.6%5.9%1.2%
Primary
Supplies
2.3%2.6%0.3%2.4%0.0%2.4%0.1%
Industrials8.8%7.4%-1.4%8.3%-0.4%7.9%-0.9%
Cyclical Client12.4%11.7%-1.0%12.0%-0.3%11.7%-0.7%
Non-
Cyclical Client
6.5%11.2%5.1%7.4%0.9%8.3%1.8%
Financials12.7%13.1%1.5%12.9%0.2%13.1%0.4%
Well being
Care
14.2%17.7%4.2%14.8%0.6%15.4%1.2%
Tech34.5%21.5%-15.7%31.7%-2.8%28.9%-5.7%
Telecoms1.1%2.0%0.9%1.3%0.2%1.6%0.4%
Utilities2.7%6.6%4.1%3.8%1.0%4.8%2.1%

Over an extended measurement horizon, the next chart demonstrates that controlling for TE detracts from long-term risk-adjusted efficiency by growing volatility and decreasing returns. The data ratios and the chance of outperforming the cap-weighted index over numerous horizons additionally deteriorate barely.


Lengthy-Time period Danger Adjusted Efficiency,
30 June 1971 to 31 December 2022

Cap WeightedSix Issue
Equal Weight
Commonplace
Portfolio
Commonplace Portfolio
TE 1%
Commonplace Portfolio
TE 2%
Annual
Returns
10.22%13.10%10.95%11.63%
Annual
Volatility
17.33%15.53%16.82%16.38%
Sharpe Ratio0.330.550.380.43
Max.
Drawdown
55.5%50.9%54.0%53.5%
Annual
Relative
Returns
–2.88%0.72%1.41%
Annual
Monitoring
Error
–4.20%1.14%2.21%
Data
Ratio
–0.690.630.64
Max. Relative
Drawdown
–20.1%5.8%10.7%
Outperformance
Likelihood
(One 12 months)
–66.89%67.71%67.38%
Outperformance
Likelihood
(Three Years)
–79.42%75.81%75.30%
Outperformance
Likelihood
(5 Years)
–86.94%84.62%84.44%

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Conclusion

Monitoring error danger management is an efficient approach to handle the out-of-sample monitoring error of multi-factor indices, and it may additionally assist scale back sector deviations of multi-factor indices. We don’t must throw out the infant with the bathwater.

Nonetheless, over the long run, aligning an element portfolio’s efficiency with a cap-weighted index could also be detrimental to each absolute and risk-adjusted returns. Furthermore, easy cap-weighted approaches to fairness investing lack the financial and conceptual foundations to justify their use. Whereas they might outperform in sure market environments, they don’t possess the formulation for superior long-term risk-adjusted efficiency.

When you favored this submit, don’t overlook to subscribe to the Enterprising Investor.


All posts are the opinion of the creator. As such, they shouldn’t be construed as funding recommendation, nor do the opinions expressed essentially mirror the views of CFA Institute or the creator’s employer.

Picture credit score: ©Getty Photos/ Wengen Ling


Skilled Studying for CFA Institute Members

CFA Institute members are empowered to self-determine and self-report skilled studying (PL) credit earned, together with content material on Enterprising Investor. Members can file credit simply utilizing their on-line PL tracker.



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Tags: benchmarksBridgingCapWeightederrorFactorgapPortfoliostracking
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