Vanguard Being passive-aggressive with ETFs

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The Active buck indexing: stops here: Vanguard Being passive-aggressive money market funds with ETFs Vanguard research May 214 James J. Rowley Jr., CFA; Donald G. Bennyhoff, CFA; Samantha S. Choa Dramatic growth in recent years in the number of exchange-traded funds (ETFs) and their total assets may suggest that investors have become more committed to indexing. It s important to recognise, however, that not all index-oriented investments, such as most ETFs, are used simply to capture the returns of the broad market. Although many index strategies are market-capitalisation-weighted, in that the index components are represented according to their assets in the market, other indexbased strategies are non-market-cap-weighted, including those that try to outperform the market on the basis of systematic exposures. Investors who use such strategies face uncertainty relative to the broad market as well as to their targeted exposures. For investors who have consciously decided to implement such a non-market-capweighted strategy, we suggest that a combination of market-cap-weighted index ETFs (hereafter, MC ETFs) may be preferable to alternatively weighted index ETFs (hereafter, Alt ETFs), because they may allow investors to more consistently capture their targeted exposures and may do so with lower implementation costs. Although ETFs generally represent rules-based products, we believe the portfolio-construction methods of these tilt strategies 1 inherently choose not to be market-cap-weighted, and thus reflect active management. As a result of this active choice, the source of active management is transferred to the investor. 1 This analysis is predicated on a portfolio-tilting strategy in which investors begin with a broad-market index ETF and add an overweighting with a specific size and/or style of index ETF. It does not attempt to replicate the exposures provided by an alternatively weighted index ETF. For an analysis of alternatively weighted equity indexing, see Philips et al. (211).

The widespread availability of ETFs has contributed to the simultaneous rise in the popularity of index-oriented, or passive, portfolio construction. However, this does not necessarily suggest that all investors are content to participate in the returns of the index averages such as those of the Standard & Poor s 5 or Barclays U.S. Float Adjusted Aggregate Bond indices. Investors may intentionally construct portfolios that attempt to outperform these readily available market-capweighted indices. To perform differently from these asset-class proxies, the portfolios must be structured differently. Rather than basing their portfolios on individual security selection, many of these investors have decided to deviate on the basis of systematic market exposures (e.g smaller-cap or value segments). Although investors can fulfill their desired portfolio structures with market-cap-weighted ETFs, a growing number of ETF choices have been designed to cater to investors favouring non-market-cap weighted or alternatively weighted portfolios. Ultimately, the efficacy of such a strategy depends heavily upon how consistently and cost-effectively the systematic exposures are captured. As a result, investors seeking to harness these exposures might be best served using combinations of market-cap-weighted index ETFs, rather than alternatively weighted index ETFs. This paper discusses a number of new investment considerations related to tilt strategies. One of these considerations is often overlooked, since index-oriented or passive products are typically used: By creating portfolios whose characteristics differ from those of the broad market, we believe investors have implemented an active strategy and have effectively transferred the source of active management to themselves. Evolution of active choice with ETFs Since 2, the rise in the availability and popularity of ETFs has been a global phenomenon (see Figure 1). For investors interested in indexed, low-cost investment opportunities, ETFs are now readily accessible to anyone with a brokerage account. ETFs also now cover a full range of asset and sub-asset classes, permitting Figure 1. ETF asset and product growth (1999 213) $3, 6, Assets (in $ billions) 2,5 2, 1,5 1, 5 5, 4, 3, 2, 1, Number of products 1999 2 21 22 23 24 25 26 27 28 29 21 211 212 213 U.S.-listed assets Worldwide ex-u.s. assets U.S.-listed products Worldwide ex-u.s. products Source: Vanguard calculations, using Bloomberg data as at 31 December 213. Notes on risk: Investments are subject to market risk, including the possible loss of the money you invest. Past performance is no guarantee of future returns. Funds that concentrate on a relatively narrow market sector face the risk of higher share-price volatility. Prices of mid- and small-cap stocks often fluctuate more than those of large-company stocks. Diversification does not ensure a profit or protect against a loss. 2

investors whether individuals or institutions, strategic asset allocators or tactical investors 2 to gain exposure to multiple areas of the market. In fact, Cerulli (214) found that although 52% of financial advisers often use ETFs as a cost-efficient core holding, 36% often use them to implement a thematic investment approach (for instance, investing in infrastructure), and 32% often use them for sector-specific exposures. Given the plethora of index ETFs, this paper s analysis may be especially helpful for investors who (1) view systematic exposures to subsets of an asset class rather than security selection as the source of potential outperformance, (2) have decided upon a predetermined allocation to such exposures, and (3) intend to maintain the exposures in a strategic, long-term manner, rather than in a tactical, short-term manner. 3 In lieu of using combinations of MC ETFs, investors may still consider implementing strategies with Alt ETFs in an attempt to outperform. Considering that such ETFs have been marketed as index strategies that outperform, it may seem obvious that they would provide the best of both worlds. However, Chow et al. (211) and Philips et al. (211) have shown that once exposures to size and style are taken into account, the alpha exhibited by many alternatively weighted index strategies is statistically indistinguishable from zero. In other words, any outperformance can be explained by systematic exposures, which today s MC ETFs can provide. The questions are: Which ETFs to invest in and why? Figure 2 lists three different implementation tactics for ETF investing, with sample family indices for each tactic. The first comparison in the figure looks at the alternatively weighted FTSE RAFI 1 Index (FTSE and Research Affiliates) versus the broad-market Russell 3 Index and combinations of Russell indices. Although the FTSE RAFI is not part of the Russell family of indices, inclusion of Russell here as a well-known index provider allows for analysis across multiple index providers. The second comparison places the alternatively weighted Standard & Poor s 5 Equal Weight Index alongside the broad-market S&P 15 Index and combinations of S&P indices. The third comparison features the Dow Jones U.S. Select Dividend Index relative to the broad Dow Jones U.S. Total Stock Market Index and combinations of Dow Jones U.S. Total Stock Market indices. There are other alternatively weighted and market-cap-weighted strategy combinations, but we believe that these three comparisons fairly illustrate the concept. We believe the conclusions would hold if any of these three alternatively weighted indices were analysed across any of the broad-market representations. Construction methodologies for well-known broad index families are generally objective, rules-based, and transparent. 4 Differences remain at the margins, however, with respect to index-provider cutoffs for market size (large-, mid-, and small-cap) and the providers specific definitions for style (growth and value). None of this suggests that any specific index provider s size cutoffs or style definitions are best ; investors must determine for themselves which provider s definitions align best with their own investment philosophy. Figure 2. Summary of portfolio-tilt framework analysis Comparison Representation of broad market Alternatively weighted strategy Market-cap-weighted strategy combinations #1 Russell 3 Index FTSE RAFI 1 Index Russell indices #2 Standard & Poor s 15 Index S&P 5 Equal Weight Index S&P indices #3 Dow Jones U.S. Total Stock Market Index Source: Vanguard. Dow Jones U.S. Select Dividend Index Dow Jones U.S. Total Stock Market Indices 2 Strategic allocations represent long-term portfolio allocations, and tactical allocations reflect short-term deviations in an attempt to add value to a portfolio. 3 See footnote 1, for an explanation of a portfolio-tilting strategy. 4 See Philips and Kinniry (212), for a discussion of index-construction methodologies. 3

Market-cap index combinations tend to exhibit consistency For investors who want to implement a tilt strategy, consistency would seem to be of paramount concern. After all, the whole point of deviating from a market-cap index is to wrest control of exposure weights that are traditionally determined by market participants in aggregate. As stated previously, to perform differently from a broad-market index, the portfolio needs to be constructed differently. Reweighting the systematic risk exposures is one means to accomplish this goal. Market-cap-weighted indices (and their subcomponent indices) are developed in a top-down manner, meaning they are constructed by grouping securities based upon shared systematic exposures such as market capitalisation or style. The exposure is thus an input to the construction process. Alternatively weighted indices, on the other hand, tend to be built from a bottom-up (or company-specific) perspective, and the fact that their constituent securities are non-market-cap weighted introduces an aspect of active management. For instance, fundamental indices such as the FTSE RAFI start the process with security selection based on metrics such as sales, revenue, and dividends (see Arnott, Hsu, and Moore, 25). Equal-weighted strategies, such as the S&P Equal Weight Index, start with a predetermined weighting scheme. And the selection process for the Dow Jones U.S. Select Dividend Index begins by focusing on the dividendpaying characteristics of stocks. In each of these cases, the systematic exposure is the by-product, because while the exposure exists, the amount of the exposure is inconsistent. It is much easier for investors to identify the intended exposure in advance with MC ETFs. 5 Figure 3a c uses returns-based style analysis to illustrate the greater consistency with which market-capweighted index combinations attain targeted degrees of size and/or style exposures relative to an alternatively weighted index. 6 This can be seen in two ways. First, with respect to any one market-cap-weighted combination, the data points also known as style windows appear very clustered, lying right on top Figure 3. Comparing style consistency of various index strategies a. Russell index combinations and FTSE RAFI 1 Index Large value FTSE RAFI 1 Index Small value Russell 3 Value Index allocations Russell 2 Value Index allocations Russell 2 Index allocations Large growth Russell 3 Index Small growth Notes: This figure shows style windows from January 1986 through January 214, each window representing a 36-month period. The circles represent the style windows for combinations of Russell indices. Each market-cap-weighted index combination begins with a allocation to the Russell 3 Index and makes 2% incremental allocations to various sub-component size and style indices until the subcomponent allocation (and thus the entire portfolio allocation) becomes invested in a specific size or style index (allocations are rebalanced annually). The red dots represent the style windows for the FTSE RAFI 1 Index. The style drift was evident for each of the alternatively weighted indices across any of the market-cap-weighted indices in this analysis. Sources: Vanguard, created with Zephyr StyleADVISOR of each other. Second, the market-cap-weighted combinations appear to be evenly spaced from each other. In contrast, although the alternatively weighted index contributes to a general value bias, 7 the style windows exhibit significant drift, meaning they move around the style box with each different time period, rather than locating themselves around the same spot. This offers evidence of a less-consistent adherence to specific size and style exposure. 5 Standard & Poor s (213: 1) reached a similar conclusion, noting: In terms of risk factor exposure, a complex and dynamic combination of size and style risk factors has contributed to return differences. It may be difficult to replicate the equal weight index return outcomes through a simplistic combination of style and sector indices. 6 See http://www.styleadvisor.com/resources/concepts/style_analysis.html (Zephyr Associates, 211), for a basic discussion of style analysis. 7 The value bias is noted by Kaplan (28) and Perold (27). Although this is one of the reasons we use combinations of value and smaller-cap indices to illustrate the consistency benefit of MC ETFs, the consistency benefit was also evident with combinations of growth and smaller-cap indices. 4

b. S&P index combinations and S&P 5 Equal Weight Index c. Dow Jones index combinations and Dow Jones U.S. Select Dividend Index Large value S&P 5 Equal Weight Index Large growth S&P 15 Index Large value Dow Jones U.S. Select Dividend Index Large growth Dow Jones U.S. Total Stock Market Index Small value Small growth Small value Small growth S&P MidCap 4 Value Index allocations S&P SmallCap 6 Value Index allocations S&P SmallCap 6 Index allocations Dow Jones U.S. Large-Cap Value Total Stock Market Index allocations Dow Jones U.S. Mid-Cap Value Total Stock Market Index allocations Dow Jones U.S. Small-Cap Total Stock Market Index allocations Notes: This figure shows style windows from July 1995 through January 214, each window representing a 36-month period. The circles represent the style windows for combinations of S&P indices. Each market-cap-weighted index combination begins with a allocation to the S&P 15 Index and makes 2% incremental allocations to various sub-component size and style indices until the subcomponent allocation (and thus the entire portfolio allocation) becomes invested in a specific size or style index (allocations are rebalanced annually). The red dots represent the style windows for the S&P 5 Equal Weight Index. The style drift was evident for each of the alternatively weighted indices across any of the market-cap-weighted indices in this analysis. Sources: Vanguard, created with Zephyr StyleADVISOR Notes: This figure shows style windows from January 1992 through January 214, each window representing a 36-month period. The circles represent the style windows for combinations of Dow Jones indices. Each market-cap weighted index combination begins with a allocation to the Dow Jones U.S. Total Stock Market Index and makes 2% incremental allocations to various subcomponent size and style indices until the subcomponent allocation (and thus the entire portfolio allocation) becomes invested in a specific size or style index (allocations are rebalanced annually). The red dots represent the style windows for the Dow Jones U.S. Select Dividend Index. The style drift was evident for each of the alternatively weighted indices across any of the market-cap-weighted indices in this analysis. Sources: Vanguard, created with Zephyr StyleADVISOR. Investors who seek outperformance on the basis of systematic exposures may find the more consistent capture of such exposures exhibited by these MC ETFs to be appealing. At the same time, investors who hope to use these Alt ETFs as a potential source of outperformance should understand their less specific exposure to value stocks and their greater variation (drift) of exposure to large-cap and mid-cap stocks over time. Such tendencies are likely similar to those exhibited by a traditional, large-to-mid-cap value active manager. 5

Market-cap ETFs can provide a cost advantage The analysis so far has considered MC ETF combinations and Alt ETFs purely from an investment strategy perspective, but when implementing the strategies, investors will incur costs. Previous Vanguard research has highlighted how costs increase the hurdle to outperformance for individual funds (e.g. Philips et al., 214; Wallick et al., 211); considering costs in an MC ETF combination versus an Alt ETF framework is just as important. Portfolio-tilting strategies attempt to capture as much of a systematic exposure as possible, but higher costs directly erode the amount captured. On average, we have found that MC ETF combinations have lower costs than do Alt ETFs. Actively managed funds have provided less relative certainty The use of traditional active funds is excluded from this analysis. In an effort to outperform, an active manager must hold a combination or weighting of securities that differs from the benchmark. Not only have such differences typically resulted in the fund possessing systematic exposures that differ from those of its benchmark index, but as Figure 4 shows, it has led to far less certain performance relative to the particular benchmark than is experienced by market-cap-weighted index strategies. Figure 4. Three-year annualised excess returns of active equity funds: Three years ended 31 December 213 15% 1 5 5 1 15 2 Large blend Large growth Large value Mid blend Mid growth Mid value Small blend Small growth Small value Notes: Past performance is no guarantee of future returns. The yellow bars capture the range of excess returns of active equity funds. The blue dashes represent the excess returns of individual index funds or ETFs. Fund returns are net of expenses, but not of any loads. Indices represented include: Large blend Russell 1 Index; Large growth Russell 1 Growth Index; Large value Russell 1 Value Index; Mid blend Russell Midcap Index; Mid growth Russell Midcap Growth Index; Mid value Russell Midcap Value Index; Small blend Russell 2 Index; Small growth Russell 2 Growth Index; and Small value Russell 2 Value Index. Results were also found to be consistent when using indices provided by Standard & Poor s and MSCI. Sources: Vanguard, using fund data from Morningstar, Inc., and index data from Russell. 6

Exchange-traded fund investors face bid-ask spreads in addition to expense ratios, so each of these costs needs to be accounted for when constructing portfolios. 8 Using the Morningstar index strategy map, which places index funds into one of nine categories according to their security-selection process and their security-weighting methodology, Figure 5a b summarises the cost advantage of MC ETFs over Alt ETFs with respect to both expense ratio and spreads, respectively. 9 ETFs that would be used for style-box-based MC ETF combinations are captured by the capitalisationweighting and passive-selection bar. Alt ETFs are located in the fundamental and fixed-weight weighting columns across any of the three security- selection methodology rows. There is a general relationship in the graphs that costs increase as the categories move away from market-cap-weighted and passive. In this framework, MC ETF combinations generally represent the most cost-effective manner to implement tilts as part of an overall portfolio strategy. As discussed in the previous section, when viewed in conjunction with issues of style drift and consistency, Alt ETFs could be considered a lower-cost alternative to a traditional actively managed fund. Figure 5. Cost advantage of MC ETFs over Alt ETFs a. Weighted-average expense ratios of style-box ETFs b. Weighted-average bid-ask spreads of style-box ETFs Weighted-average expense ratio.8%.6.4.2 Capitalisation Fundamental Fixed weight Weighting Weighted-average spread.4%.3.2.1 Capitalisation Fundamental Fixed weight Weighting Passive Screened Quantitative Selection Passive Screened Quantitative Selection Notes: Strategy-box classification is determined by an index s construction methodology, rather than its style. Expense ratio and asset figures are from Morningstar as of January 31, 214. Morningstar data represent U.S. ETFs that were included in an equity style-box category and in an index strategy map category, but exclude funds of funds. Sources: Vanguard calculations, using data from Morningstar, Inc. Notes: Strategy-box classification is determined by an index s construction methodology, rather than its style. Asset figures are from Morningstar as of January 31, 214; bid-ask spreads reflect year-to-date data from ArcaVision as of January 31, 214. Morningstar data represent U.S. ETFs that were included in an equity style-box category and in an index strategy map category, but exclude funds of funds. Sources: Vanguard calculations, using data from Morningstar, Inc., and ArcaVision. 8 Trading commissions may also exist, but since these are dependent on an investor s brokerage platform, we focus here on expense ratios and bid-ask spreads because these costs are incurred regardless of trading venue. 9 The methodology behind the Morningstar index strategy map is based on work by Ferri (29). 7

Challenges of active management Investors who implement tilt strategies with MC ETFs effectively in-source amounts of active management. The choice to tilt a portfolio away from the market-capweighted index represents one layer of active risk. The choice to implement the tilt with sources of traditional active management (security selection, market timing, or actively managed funds) would be a second layer. However, by using MC ETFs to implement the tilt, investors eliminate that second layer. The choice to construct a tilt strategy using MC ETFs still brings with it the consequence of potential underper formance versus a broad-market index. Although the small-cap and value exposures have been sources of outperformance over the very long term (see Fama and French, 1992; 1993), they have also been sources of cyclical underperformance. Figure 6 illustrates the cyclicality of relative performance for various combinations of the Russell 3 Index and Russell 2 Value Index. Not surprisingly, the magnitude of the peak-to-troughs is a function of how much a combination moves away from the broad market (as represented by the Russell 3 Index) and toward the intended tilt exposure (the Russell 2 Value Index). 1 In other words, the red line, representing a combination with allocated to the Russell 2 Value Index, has more extreme highs and lows than those of the dark-blue line, representing a combination with 2% allocated to the Russell 2 Value. To mitigate the one layer of active risk and the magnitude of any cyclical underperformance, investors could consider relatively smaller allocations to the tilt exposure. Another aspect of these challenges is that, in practice, it may be difficult to implement these strategies, for two main reasons. First, portfolio construction developed in theory does not always have an investable equivalent, because of issues such as taxes and frictional costs. Second, for large-scale portfolios, capacity constraints could come into play. Figure 6. Rolling 12-month excess returns versus Russell 3 Index Excess return 5% 4 3 2 1 1 2 3 4 1979 1982 1985 1988 1991 1994 1997 2 23 26 29 212 8% Russell 3 Index, 2% Russell 2 Value Index 6% Russell 3 Index, 4% Russell 2 Value Index 4% Russell 3 Index, 6% Russell 2 Value Index 2% Russell 3 Index, 8% Russell 2 Value Index Note: Figure reflects % monthly Russell data 3 from January Index, 1979 through Russell January 2 214, Value in rolling Index 12-month increments. Sources: Vanguard calculations, created using Zephyr StyleADVISOR. 1 This relationship held true with respect to all the exposure tilts across each index provider in this analysis. 8

Conclusion The growth of the ETF marketplace has made it possible for investors to access numerous types of index-based investment exposures. For investors who seek to outperform a broad-market asset class or index on the basis of a predetermined allocation to systematic risk exposures, MC ETFs now allow them to implement their tilt strategies. Our consistency and cost analyses show that the use of MC ETF combinations would seem to be preferable to Alt ETFs when implementing a tilt strategy that seeks to rigorously capitalise on these theoretical, systematicrisk exposures. In fact, it would appear that consistency would be a key concern to these investors, as the reason for deviating from market-cap indices is to gain specific control of exposure weights that were determined by market participants in aggregate. However, to perform differently from a broad-market index, a portfolio needs to be constructed differently, and reweighting systematic risk exposures is one means to accomplish this goal. As this analysis has emphasised, these deviations involve active choices that, in actuality, transfer the source of active management to investors themselves. References Arnott, Robert D., Jason Hsu, and Philip Moore, 25. Fundamental Indexation. Financial Analysts Journal 61(2): 83 99. Cerulli Edge, 214. U.S. Monthly Product Trends Edition, January; available at https://external.cerulli.com/file. sv?f3af. Fama, Eugene F., and Kenneth R. French, 1993. Common Risk Factors in the Returns on Stocks and Bonds. Journal of Financial Economics 33(1): 3 56. Ferri, Richard A., 29. The ETF Book: All You Need to Know About Exchange-Traded Funds. Hoboken, N.J.: John Wiley & Sons. Kaplan, Paul D., 28. Why Fundamental Indexation Might Or Might Not Work. Financial Analysts Journal 64(1): 32 39. Perold, André F., 27. Fundamentally Flawed Indexing. Financial Analysts Journal 63(6): 31 37. Philips, Christopher B., Francis M. Kinniry Jr., David J. Walker, and Charles J. Thomas, 211. A Review of Alternative Approaches to Equity Indexing. Valley Forge, Pa.: The Vanguard Group. Philips, Christopher B., and Francis M. Kinniry Jr., 212. Determining the Appropriate Benchmark: A Review of Major Market Indices. Valley Forge, Pa.: The Vanguard Group. Philips, Christopher B., Francis M. Kinniry Jr., Todd Schlanger, and Joshua M. Hirt, 212. The Case for Index-Fund Investing. Valley Forge, Pa.: The Vanguard Group. S&P Dow Jones Indices, 213 (April). 1 Years Later: Where in the World is Equal Weight Indexing Now? Available at http://us.spindices.com/documents/ research/equal-weight-index-1-years.pdf. Zephyr Associates, 211; Style analysis; available at http://www.styleadvisor.com/resources/concepts/ style_analysis.html. Wallick, Daniel W., Neeraj Bhatia, Andrew S. Clarke, and Raphael A. Stern, 211. Shopping for Alpha: You Get What You Don t Pay For. Valley Forge, Pa.: The Vanguard Group. Chow, Tzee-man, Jason Hsu, Vitali Kalesnik, and Bryce Little, 211. A Survey of Alternative Equity Index Strategies. Financial Analysts Journal 67 (5, Sept./Oct.): 37 57. Fama, Eugene F., and Kenneth R. French, 1992. The Cross- Section of Expected Stock Returns. Journal of Finance 47(2): 427 65. 9

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