##### May 2023

**Executive Summary**

The "Intangible Value Factor" (IHML) can play an additive role in factor portfolios alongside the established market, size, value, quality, and momentum factors. This Six-Factor Model avoids the problematic "anti-innovation" bias of traditional factor portfolios and can be easily implemented using ETFs.

## Modern Factors

### Intangible Value as a Factor

The "Value Factor" was popularized by the seminal work of Nobel laureate Eugene Fama and Ken French, who found that stocks with low prices relative to book value tended to outperform. Yet, despite its intuitive appeal, this factor has failed to repeat its historical performance the past decade.

In __Intangible Value__ (Jun 2021), we argued that this is due to the Value Factor’s failure to account for the rise of intangible assets. To address this, we built an "Intangible Value Factor" that incorporates intangible assets, such as intellectual property, brand equity, human capital, and network effects. We estimate these intangibles using alternative data (e.g., patents, job posts) and natural language processing.

While the traditional Value Factor has struggled, the Intangible Value Factor has continued to outperform.

#### Exhibit 1

##### Value Is Dead, Long Live Value! ✊

###### Source: Ken French, Sparkline. Tangible Value is a long-short portfolio constructed per the Fama-French HML factor. Intangible Value is the same except it uses the intangible value factor. Analysis updated to include both large- and small-cap stocks for greater comparability to Fama-French. No transaction or financing costs. From 7/1/1963 to 3/31/2023. See more complete definitions and important backtest disclosure below.

### Factor Investing

Factor investing has enjoyed steady adoption by investors seeking an evidence-based and cost-effective approach. In addition to Value, investors now have access to several other popular factors, such as Small-Cap, Quality, and Momentum.

#### Exhibit 2

##### Our Factor Universe

###### Source: Ken French, Sparkline. See complete definitions below.

Like Value, these other factors are motivated by a historical (backtested!) record of excess returns.

#### Exhibit 3

##### Factor Returns

###### Source: Ken French, Sparkline. Market and long-short portfolios constructed per the Fama-French Rm-Rf, HML, SMB, RMW, and MOM factors. Intangible Value follows the HML methodology except it uses the intangible value factor. Analysis includes both large- and small-cap stocks. No transaction or financing costs. From 3/31/1995 to 3/31/2023. See more complete definitions and important backtest disclosure below.

For a new factor to be included in asset pricing models, it should be distinct from existing ones. This is important for not only academics seeking theoretical purity but also practitioners seeking the benefits of diversification. The next exhibit computes the stock-level correlations of Intangible Value to the other factors.

#### Exhibit 4

##### Intangible Value Factor Correlations

###### Source: Ken French, Sparkline. Cross-sectional position-level correlations between Intangible Value and other factors. All factors are themselves cross-sectionally normalized within the top 3000 U.S. stocks. From 12/31/1995 to 3/31/2023.

Intangible Value appears to be a distinct "sixth factor." While varying over time, its correlations to other factors are modest, averaging between -14 and +11%. Furthermore, standard asset pricing regressions find that Intangible Value has a positive and significant association with future stock returns even after controlling for traditional factors.

What is the intuition behind Intangible Value as a distinct sixth factor? While ideological twins, Intangible Value and Value focus on opposing parts of the balance sheet. This results in two very different sets of companies. Value favors capital-intensive banks and manufacturers, while Intangible Value prefers asset-light tech platforms and brands. ☯️

Similarly, both Quality and Intangible Value seek firms with wide moats, which often take the form of intangible assets, such as luxury brands or drug patents. However, building intangible moats requires large upfront investments that can take years to pay off (e.g., advertising, R&D). While Quality seeks firms that are profitable today, Intangible Value seeks those investing in profitability tomorrow.

#### Exhibit 5

##### Intangible Value: The Quality of Tomorrow

###### Source: S&P, Sparkline. Bars represent the coefficients of regressions where Y = ROE (T+N) - ROE (T) and X = INTANGIBLE (T). N is the number of years in the future. ROE is "return on equity" and INTANGIBLE is "intangible value." Both are cross-sectionally Z-scored. Regression includes a constant. Analysis covers top 1000 U.S. stocks from 3/31/1995 to 3/31/2023.

Correlations with Small-Cap and Momentum are also low. Firms with high Intangible Value can be found in both the small-cap and large-cap universes and can have both positive and negative momentum.

### Six-Factor Model

Not only is Intangible Value uncorrelated with other factors, but all six factors are uncorrelated with each other. The average pairwise correlation in the exhibit below is -5%.

#### Exhibit 6

##### Factor Correlation Matrix

###### Source: Ken French, Sparkline. Daily return correlations. 3/31/1995 to 3/31/2023.

Moreover, as noted in __Ilmanen and Kizer__ (2012), these cross-factor correlations have been stable over time. While cross-asset correlations often spike in crises, factor correlations remained subdued through the 2000, 2008, and 2020 crises.

#### Exhibit 7

##### Average Factor Correlations

###### Source: Ken French, Sparkline. Rolling 252-day correlations. Average across all pairs of factors in the Six-Factor Model. From 3/31/1995 to 3/31/2023.

Low and stable correlations suggest that a multi-factor model should enjoy significant diversification benefits. The next exhibit backtests the performance of a strategy that allocates equally to each factor. We show the returns for models both with and without Intangible Value.

#### Exhibit 8

##### Multi-Factor Models

###### Source: Ken French, Sparkline. The Five-Factor Model is an equal-weighted portfolio of MKT-RF, SMB, HML, RMW, and MOM. The Six-Factor Model is the same but also includes IHML. Strategies are rebalanced monthly. No transaction or financing costs. From 3/31/1995 to 3/31/2023. See important backtest disclosure below.

Despite the recent struggles of Size, Value, and Momentum, the Six-Factor Model has continued to chug along, buoyed by strong returns from Quality, Market, and Intangible Value. Intangible Value has been particularly helpful over the past decade as intangible assets have gained in importance.

## Applying the Six-Factor Model

### Long-Only Model Portfolio

The strategy above requires the use of shorting. In practice, however, most investors prefer long-only portfolios. While this limits their ability to allocate significant risk to factors other than the Market, this is not a practical worry for most.

For better or worse, since performance tends to be assessed relative to the stock market, investors generally want to keep their tracking error manageable. One way to do this is to start with a portfolio of cheap passive beta and then carve out an allocation to factor strategies.

Let’s use the example of an investor who has 50% in equity index funds and 50% split among long-only versions of the other five factors. Since we only own the long side, our non-market factor exposure is roughly halved. But market risk is still 100% since we don’t hedge. This implies a risk allocation that is roughly 75% market and 25% other factors.

#### Exhibit 9

##### Model Portfolio

###### Source: Ken French, Sparkline. Implied risk allocation is derived from regressions of long-only factor portfolios on the Six-Factor Model. Once we derive the coefficients for each portfolio, we sum to get the total. Portfolios are for illustrative purposes only and do not reflect actual portfolios managed by Sparkline. From 3/31/1995 to 3/31/2023.

Of course, investors can easily increase their total factor risk by allocating more to factor strategies and less to index funds. However, even at the current weights, these small but mighty factor tilts have a noticeable impact on performance.

#### Exhibit 10

##### Long-Only Model Portfolio

###### Source: Ken French, Sparkline. Market is Fama-French Rm-Rf + Rf. Model portfolio is 50% Market + 10% each in the long-side only of the SMB, HML, RMW, MOM, and IHML factors. Strategies are rebalanced monthly. No transaction or financing costs. From 3/31/1995 to 3/31/2023. See important backtest disclosure below.

The factor-tilted portfolio outperformed the market by 1.7% per year with 3.1% tracking error. Investors less sensitive to tracking error could allocate 100% to factor funds and 0% to index funds for 3.4% excess returns and 6.2% tracking error.

### Factor ETFs

Over the past decade, exchange-traded funds (ETFs) have attracted trillions of dollars due to their superior liquidity, accessibility, transparency, and tax efficiency. The U.S. ETF market alone has blossomed to $7 trillion in assets spread across a staggering 1,700 funds.

While more investor choice is great, such an expansive menu can be a bit overwhelming. The factor lens solves this problem by distilling the universe of thousands of ETFs into a more manageable set of just six underlying factors.

In the next exhibit, we build a simple tool to explore ETF factor exposures. It runs regressions of daily ETF returns against those of the six factors. We show the results for several popular factor ETFs.

#### Exhibit 11

##### Popular Factor ETF Exposures

###### Source: Sparkline. Each row represents a regression of ETF returns on Six-Factor Model returns over the trailing 375 days. Table displays the coefficient for each factor, indicating statistical significance in bold. Not a recommendation to buy or sell securities. As of 3/31/2023.

For each ETF, the table shows the exposure to each of the six factors with bold type indicating statistical significance. As expected, each factor ETF provides exposure to its primary targeted factor. Some ETFs also provide exposure to a secondary factor. For example, all three value ETFs also favor small-caps.

### Quest for Intangible Value 🏆

Since none of these popular factor ETFs provide meaningful exposure to Intangible Value, we expand our search to the full ETF universe. Our screen excludes sector, index, leveraged, and inverse ETFs. To avoid spurious results from random noise, we sort by t-statistic (i.e., coefficient divided by standard error). The top 20 results are below.

#### Exhibit 12

##### Intangible Value ETFs

###### Source: Sparkline. Each row represents a regression of ETF returns on Six-Factor Model returns over the trailing 375 days. Table displays the t-statistics for each factor. Not a recommendation to buy or sell securities. As of 3/31/2023.

The ETF with the most significant Intangible Value exposure is . This makes sense, as the ETF was specifically created to provide exposure to this factor. In second place is the ubiquitous QQQ. Next, we have a large number of growth funds and a smaller number of value funds. By design, Intangible Value has characteristics of both value and growth funds, although it skews a bit "growthy" today.

Finally, let’s see if we can implement our long-only model portfolio using only ETFs. We repeat this screen for the other five factors, selecting one ETF to represent each category. Rather than allocate equal dollars to each ETF, we optimize weights so that each non-market factor gets equal risk.

The most notable deviation from equal weighting is that we barely need any of our small-cap ETF (IWM), since our value ETF (AVUS) provides both HML and SMB exposure. Once this is done, we achieve a healthy 20% total exposure to the five non-market factors.

#### Exhibit 13

##### Model Portfolio Using ETFs

###### Source: Ken French, Sparkline. Implied risk allocation is derived from regressions on the Six-Factor Model. Once we derive the coefficients, we sum to get the total. Portfolios for illustrative purposes only and do not reflect actual portfolios managed by Sparkline. Not a recommendation to buy or sell securities. As of 3/31/2023.

In conclusion, the Six-Factor Model can be implemented with just six ETFs. Of course, this is just a starting point. From here, investors can easily customize the portfolio to their desired level of factor risk and preferred ETF fund families.

## Factor-Friendly Innovation

### The Innovation Dilemma

In __Value Investing Is Short Tech Disruption__ (Aug 2020), we argued that a major pain point for factor investors is their chronic underexposure to so-called "innovation stocks," which are in the midst of a golden era of outperformance. Since 2010, the Nasdaq 100, a common shorthand for innovation stocks, has outgained the S&P 500 by over 70%.

#### Exhibit 14

##### Don’t Fight Innovation

###### Source: S&P, Sparkline. From 12/31/2009 to 3/31/2023.

Unfortunately, the Five-Factor Model has largely missed out on this boon due to its big underweight to innovative stocks. Its anti-innovation bet is mainly driven by the Value Factor, which, due to its reliance on tangible book value, tends to avoid modern firms with asset-light business models.

With the intangible economy ascendant, this anti-innovation bet is increasingly untenable. Not only does it risk another decade of poor returns, but it also produces portfolios that appear increasingly out of touch with the modern world.

To neutralize this anti-innovation bias, many factor investors have been forced to stray from the purity of their approach. A common "hack" is simply to add an allocation to growth funds, such as Nasdaq 100 (QQQ) or ARK Innovation (ARKK).

#### Exhibit 15

##### Growth Hack

###### Source: Sparkline. Portfolios are for illustrative purposes only and do not reflect actual portfolios managed by Sparkline.

The problem is that growth funds typically have bad factor exposures. To illustrate this, we build an equal-weighted portfolio of four popular growth ETFs (i.e., QQQ, IWF, ARKK, XT) and analyze the exposures of the resulting portfolio.

#### Exhibit 16

##### Growth ETF Exposures

###### Source: Sparkline. Each row represents a regression of ETF returns on Six-Factor Model returns over the trailing 375 days. Table displays the coefficient for each factor, indicating statistical significance in bold. Not a recommendation to buy or sell securities. As of 3/31/2023.

The underlying ETFs have Value scores ranging from -0.95 to -0.18 and Quality scores ranging from -1.12 to +0.09. As a result, the composite portfolio has significantly negative exposures to Value and Quality of -0.46 and -0.28. Adding growth funds solves one problem only to create another!

Moreover, this workaround lacks the empirical rigor underpinning the factor framework. Unlike our six factors, research does not support the existence of a "growth factor." We would love to be able to invest in innovation without abandoning the factor framework.

### Factor-Friendly Innovation

Let’s see if the Six-Factor Model can help. The next exhibit compares the exposures of Value, Intangible Value, and Growth relative to the S&P 500. For Value and Intangible Value, we employ long-only factors; for Growth we utilize the basket of four ETFs. We show representative metrics for each of the broad categories of innovation, value and quality.

#### Exhibit 17

##### Innovation, Value and Quality

###### Source: S&P, USPTO, LinkedIn, Sparkline. All figures relative to S&P 500. Calculations weighted by position and do not predict performance. Tech defined as GICS IT sector. A.I. and disruptive companies defined using proprietary classifications. All other metrics are calculated over a trailing 1-year period, with the exception of prices. Patents are scaled by billions. Value is a long-only portfolio of the top tercile stocks on book/market. Intangible value is the same but using intangible value. Universe consists of the top 1000 largest U.S. stocks and portfolios are cap-weighted. Growth is an equal-weighted basket of the holdings of QQQ, IWF, ARKK, and XT. Not a recommendation to buy or sell securities. As of 3/31/2023.

In the top panel, we find that Value is indeed short innovation, with large underweights to tech companies and those applying A.I. or other disruptive technologies. On the other hand, both Intangible Value and Growth are staunchly pro-innovation, making them candidates to offset Value’s unwanted anti-innovation bias.

However, the next two panels illustrate the problem with using Growth for this task. Growth has deeply negative exposures to both value and quality, as it tends to own stocks with high prices relative to book value and trailing fundamentals and lower returns on capital.

This is more than just an academic problem. The next exhibit decomposes the Growth ETF portfolio’s historical returns based on its rolling factor exposures.

#### Exhibit 18

##### Growth ETF Attribution

###### Source: S&P, Sparkline. We run rolling 750-day regressions of Growth returns on our Six-Factor model. We use the resulting factor exposures and that day’s returns to infer the contribution from each factor. We then roll forward through time to build a cumulative series. Growth is defined as an equal-weighted basket of the holdings of QQQ, IWF, ARKK, and XT. We prorate the portfolio when ARKK or XT are unavailable. Not a recommendation to buy or sell securities. From 12/31/2009 to 3/31/2023.

Over this period, the portfolio’s negative exposure to Quality detracted around -10% from its returns. While its negative Value exposure did not lower returns given Value’s ongoing struggles, it did produce a lot of undesirable volatility and is the primary cause of the portfolio’s current drawdown.

On the other hand, the ETF portfolio’s positive Intangible Value exposure was a big driver of its outperformance. It added +19% to returns without much volatility. One way to think about the Intangible Value Factor is as an attempt to isolate the "good part" of Innovation ETFs without the unwanted drag from shorting Value or Quality.

Lastly, let’s examine the Six-Factor and Innovation exposures for the various portfolios we have built so far.

#### Exhibit 19

##### An Improved Factor Model

###### Source: S&P, Sparkline. Portfolio components are the long sides of the MKT-RF, SMB, HML, RMW, MOM and IHML factors. Growth is an equal basket of QQQ, IWF, ARKK, and XT. We compute factor loadings for each portfolio using regressions on the Six-Factor Model. Exposures shown in the table aggregate from these underlying loadings based on the weights in the pie charts above. We also show the innovation score, which we rescale so that the Five-Factor model is not negative but zero. Not a recommendation to buy or sell securities. As of 3/31/2023.

The Five-Factor portfolio is underweight both Intangible Value and Innovation. While adding growth funds helps plug this hole, it also reduces Value and Quality. The Six-Factor portfolio provides the best overall exposures, neutralizing the underweight to Innovation and Intangible Value without sacrificing Value or Quality.

## Conclusion

We propose a Six-Factor Model, which includes market, size, value, quality, momentum, and intangible value. Relative to traditional factor models, it offers superior (backtested!) historical performance and more balanced exposure to innovative firms. Furthermore, it can be easily implemented in long-only portfolios using highly accessible ETFs.

*The author would like to thank Wes Gray and Jack Vogel for their invaluable help on this research piece.*

**Factor Definitions**

We use the Fama-French definitions for the traditional five factors. Complete definitions for MKT-RF, SMB, HML, and RMW are __here__ and the definition for MOM is __here__. We construct IHML as follows:

IHML (Intangible High Minus Low) is the average return on the two high intangible value portfolios minus the average return on the two low intangible value portfolios,

IHML = 1/2 (Small High Intangible Value + Big High Intangible Value)

- 1/2 (Small Low Intangible Value + Big Low Intangible Value)

The Big universe is of the top 1,000 U.S. stocks by market cap, while the Small universe is the next 2,000. High Intangible Value is the top 33% and Low Intangible Value is the bottom 33% of stocks in the applicable universe. Portfolios are cap-weighted.

**Disclaimer **

This paper is solely for informational purposes and is not an offer or solicitation for the purchase or sale of any security, nor is it to be construed as legal or tax advice. References to securities and strategies are for illustrative purposes only and do not constitute buy or sell recommendations. The information in this report should not be used as the basis for any investment decisions.

We make no representation or warranty as to the accuracy or completeness of the information contained in this report, including third-party data sources. This paper may contain forward-looking statements or projections based on our current beliefs and information believed to be reasonable at the time. However, such statements necessarily involve risk and uncertainty and should not be used as the basis for investment decisions. The views expressed are as of the publication date and subject to change at any time.

**Backtest Disclosure**

The performance shown reflects the simulated model performance an investor may have obtained had it invested in the manner shown but does not represent performance that any investor actually attained. This performance is not representative of any actual investment strategy or product and is provided solely for informational purposes.

Hypothetical performance has many significant limitations and may not reflect the impact of material economic and market factors if funds were actually managed in the manner shown. Actual performance may differ substantially from simulated model performance. Simulated performance may be prepared with the benefit of hindsight and changes in methodology may have a material impact on the simulated returns presented.

The simulated model performance is adjusted to reflect the reinvestment of dividends and other income. Simulations that include estimated transaction costs assume the payment of the historical bid-ask spread and $0.01 in commissions. Simulated fees, expenses, and transaction costs do not represent actual costs paid.

Index returns are shown for informational purposes only and/or as a basis of comparison. Indexes are unmanaged and do not reflect management or trading fees. One cannot invest directly in an index. The S&P 500 is a popular gauge of large-cap U.S. equities that includes 500 leading companies. The Russell 1000 Index consists of the approximately top 1000 U.S. stocks by market cap. The Russell 1000 Value (Growth) Index includes those Russell 1000 companies with lower (higher) price-to-book ratios and expected and historical growth rates.

No representation or warranty is made as to the reasonableness of the methodology used or that all methodologies used in achieving the returns have been stated or fully considered. There can be no assurance that such hypothetical performance is achievable in the future. Past performance is no guarantee of future results.

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