The case for indexing: European- and offshoredomiciled

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The case for indexing: European- and offshoredomiciled funds Vanguard research April 2010 Executive summary. An index is a group of securities designed to represent a broad market or a portion of the broad market. By reflecting a particular market s performance, an index provides investors with a benchmark for that market. Because indexes are, by definition, intended to replicate the market, they are constructed to be market-capitalizationweighted. An index investment strategy such as an index fund or an index-based exchange-traded fund (ETF) seeks to track the performance of an index by assembling a portfolio that invests in the same group of securities, or a sampling of the securities, that compose the index. By investing in a broad-market index, such as one designed to replicate the performance of the overall European stock market, an investor can participate, at low cost, in the aggregate performance of that market at all times. Also, by investing in an index with a narrower focus such as a sector or country an investor can participate in the purest exposure to a specific market segment within a low-cost framework. As a result of these features, indexing has gained in popularity over the last 30 years. Author Christopher B. Philips, CFA Connect with Vanguard > vanguard.com > global.vanguard.com (non-u.s. investors)

Historically, indexing investment strategies have performed favorably in relation to actively managed investment strategies, as a result of indexing s low cost, broad diversification, and minimal cash drag. Combined, these factors represent a significant hurdle that an active manager must overcome just to break even with a low-cost index strategy over time, in any market. Of course, skilled active managers can and do overcome these hurdles, but as our research and other empirical evidence suggest, the likelihood of outperformance by a majority of managers dwindles over time as the compounding of these costs becomes more difficult to surmount. Since the 1990s, indexing has gained traction globally, fueled by increasing investor interest and acceptance of the concept. This paper builds on a recently revised original Vanguard analysis of U.S.-domiciled funds, in which we explored both the theory underlying index investing and evidence to support its advantages (Philips, 2010). In the current study, we specifically examine European- and offshore-domiciled funds. 1 Because indexing as an investment strategy increases in effectiveness as the investing time period lengthens, we anticipate that the results of our analysis will strengthen as the available time periods increase. We first examine investing as a zero-sum game and relate it to the index funds versus active funds debate. We then explore the importance of costs in investment management and their impact on index and active strategies. Finally, we discuss alternate perspectives on the relative success of index versus active strategies, as well as several additional advantages of indexing. 1 Fund data were provided by Morningstar Direct. The Morningstar Direct global investment coverage includes funds based in Australia, Canada, Europe, China, Hong Kong, Singapore, and Taiwan; exchange-traded funds; global hedge funds; offshore funds; U.S. open-end funds; U.S. separate accounts; U.S. stocks; and U.S. variable annuities and life insurance. For this analysis we focused on funds domiciled in offshore regions including Luxembourg, Dublin, the Channel Islands, the Cayman Islands, Bermuda, and other international fund centers as well as funds domiciled in various European countries. Funds domiciled in Luxembourg account for 27% of all registrants in Morningstar s universe. The next largest five are France at 14%, United Kingdom at 10%, Spain at 8%, Germany at 6%, and Italy at 5%. 2

An index is a group of securities chosen to represent an overall market or a portion of the market. An investment in conventional pooled or exchange-traded index funds seeks to track the returns of that market or market segment by assembling a portfolio that invests in the same group of securities, or a representative sampling of the securities, that compose the market, with weights proportionate to their market value. Notes on market-cap weighting Indexes should reflect the market or market portion that they are intended to measure. In fact, the best index is not necessarily the one that provides the highest return, but the one that most accurately measures the performance of the investing style, strategy, or market that it is intended to track. The vast majority of indexes are therefore weighted according to market capitalization, where: Market Cap = Price per Share X Number of Shares Outstanding. Market-cap-weighted indexes reflect the consensus estimate of each company s value at any given moment. In any efficient market, new information economic, financial, or company-specific affects the price of one or more securities and is reflected instantaneously in the index via a change in its market capitalization. Thus, a continuously updated market index gives an indication of how well a market is performing and of the market s structural and risk characteristics at any given point in time. Since, according to capital market theory specifically, the Capital Asset Pricing Model current prices (and, hence, company values) are set based on current and expected events, cap-weighted indexes represent the expected, theoretically meanvariance-efficient, portfolio of securities in a given asset class. In addition, market-cap-weighted indexes are continuously reweighted, and turnover is limited to changes in the constituents or in their shares outstanding due to corporate events such as share buybacks or issuances. Recognizing that market-capweighted indexes represent the market proxy for a given market, this analysis focuses on market-capweighted indexes and index funds that track them. Portfolios that are not market-cap weighted will not reflect the average return of investors in that market. Such portfolios are therefore not indexed to a specific market and may be considered either actively managed or rules-based passive strategies designed to deliver a return that differs from the market s. Both active managers and those who oversee rulesbased passive strategies believe that they possess information not represented in the market cap of a specific stock. For example, an active manager may view a highly valued company as overvalued, or a passive manager may design a program to invest only in stocks that pay the highest dividends. Each believes his or her strategy to be a formula for success relative to the benchmark. Investment strategies not indexed to a market-cap-weighted benchmark can therefore be viewed as taking specific bets against the index, and should be evaluated based on the quality and success of those bets. Notes on risk: Past performance is not a guarantee of future results. The performance of an index is not an exact representation of any particular investment, as you cannot invest directly in an index. Investments are subject to market risk. Investments in bonds are subject to interest rate, credit, and inflation risk. Prices of mid- and small-cap stocks often fluctuate more than those of large-company stocks. Foreign investing involves additional risks, including currency fluctuations and political uncertainty. 3

Understanding the zero-sum game Before considering some particulars of active versus passive management, it is instructive to consider the market as a whole, where outperformance is often referred to as a zero-sum game. The concept of a zero-sum game starts with the understanding that at any given point in time, the holdings of all investors in a particular market, such as the European stock or bond market, aggregate to form that market (Sharpe, 1991). Because all investors holdings are represented, if one investor s positions outperform the aggregate market over a particular period, another investor s positions must underperform, such that the asset-weighted performance of all investors sums to equal the performance of the market. 2 The aggregation of all investors returns can be thought of as a bell curve (see Figure 1), with the market return as the mean. Of course, this holds for any market, such as country-specific stock and bond markets, or even specialized markets such as real estate. In Figure 1, the market is represented by the blue curve, with the market return as the blue vertical dashed line. 3 Over any given period, the asset-weighted excess performance to the right of the market return in Figure 1 equals the inverse of the asset-weighted excess performance to the left of the market return, such that the sum of the two equals the market return. However, in reality, investors are exposed to costs such as commissions, management fees, taxes, bid-ask spreads, administrative costs, and market impact, 4 all of which combine to reduce realized returns over time. The aggregate result of these costs shifts the curve in Figure 1 to the left. We represent the adjustment for costs with the brown-shaded distribution, which shows the impact of management expenses and transaction costs. Figure 1. After-cost distribution of returns Source: Vanguard. Impact of cost on distribution of market returns Expense and fee impact After all costs, fewer dollars exceed the benchmark. Before-cost distribution of returns Although a portion of the after-cost, asset-weighted performance continues to lie to the right of the market return, represented by the white region in Figure 1, a much larger portion of the brown curve is now to the left of the blue dashed line, meaning that after costs, most of the asset-weighted performance of investors falls short of the aggregate market return. By minimizing costs, therefore, investors can help ensure that their return is closer to the market return on average, giving them a greater chance of outperforming similarly positioned investors who incur higher costs. For example, investors whose fund has a 0.5% expense ratio a cost hurdle substantially below European large-cap funds average expense ratio of 1.86% (source: Morningstar, Inc., as of December 31, 2009) stand a greater chance of outperforming a majority of the higher-cost investors in similarly positioned funds. This principle is just as relevant in markets often thought to be less efficient, such as small-cap or international equities (Waring and Siegel, 2005). We further explore this aspect of indexing in Figure 3, on page 7. 2 Asset weighting gives proportional weight to each holding, based on its market capitalization. Compared to equal weighting, which helps ensure against any one security dominating the results but also implicitly makes relatively large bets on smaller constituents, dollar weighting more accurately reflects the aggregate equity and bond markets. 3 The results in this analysis account for withholding at the index level. As a result, all performance is evaluated against net benchmark returns. 4 In this context, market impact refers to the effect of a market participant s actions that is, buying or selling on a security s price. 4

Applying zero-sum game to fund performance The zero-sum framework refers to broad markets, but may also be loosely applied to long-term fund performance. Figure 2, on page 6, applies the theoretical framework of the zero-sum game to the European and offshore actively managed equity fund universes used in this analysis. Although funds account for only a portion of the equity markets, Figure 2 shows a result similar to that of Figure 1 that is, the longer-term net returns of the aggregate diversified actively managed fund universe shift to the left of the returns of their respective market benchmarks. In Figure 2, we combined the distributions of funds investing in securities from global, U.S., European, or Eurozone markets. In all instances, a majority of active funds trailed their market benchmarks over the ten years ended December 2009. In fact, the break-even point in this graph is between 1% and 2%, meaning that 50% of the funds trailed their market benchmarks by at least 100 basis points annually for the ten years, likely due primarily to expenses. Of course, many funds may pay lower expenses as a result, for example, of their institutional shares; lower costs would boost their relative performance versus that of higher-cost shares by the amount of the cost differential. After evaluating the cost data presented later in Figure 7, on page 13, we in fact show that much of the underperformance is a direct result of the significant expenses. While Figure 2 primarily demonstrates the difficulty in outperforming a market benchmark over longer time periods, it is also instructive to note the wide distribution of excess returns. Several factors contribute to this wide performance distribution, in addition to differences in cost and any skill the managers exhibit: The type of funds included, the benchmark used, and the time period analyzed can all affect the return distribution and the conclusions drawn. For example, if managers exhibit a style or size bias over a given ten-year period, the relative performance of active managers in aggregate can change substantially, depending on the relative performance of one or more market segments, such as small-cap stocks. Similarly, to the extent that different benchmarks cover different groups of securities (even in the same region), the relative performance results can vary. Also, considering that underperformance or outperformance can vary significantly with different periods such as five years or even shorter time frames the time period analyzed can affect the conclusions drawn. 5 We also evaluated Figure 2 with respect to offshore funds only (that is, to funds domiciled in Luxembourg, Dublin, the Channel Islands, the Cayman Islands, Bermuda, and other international fund centers), to gauge any differences that might arise due to organizational or regulatory circumstances. Intuitively, since expense ratios for offshore funds differ from those of their domestic equivalents, one would expect that the net return distribution might also differ (Khorana, Servaes, and Tufano, 2007). Operating in one jurisdiction but with distribution across many countries, offshore funds might be assumed to be able to take advantage of economies of scale, in turn decreasing the funds expense ratios. However, funds domiciled in Europe are typically not limited to just one country, but instead often operate in several countries, theoretically increasing their economies of scale as well. And while cross-registration may lower expenses, funds also typically charge more in distribution fees because of the additional cost of cross-registration. This additional distribution cost can negate the lower costs associated with economies of scale. Narrowing our analysis to offshore funds, we found that 66% of funds (369 of 559) investing in European, Eurozone, U.S., or global securities underperformed their benchmark a result very close to that of funds domiciled in one or more European countries. 5 See Philips (2010) for an evaluation of U.S.-domiciled funds relative to their style-specific benchmarks; and Philips and Kinniry (2009) for analysis on the cyclicality of outperformance. 5

Figure 2. After-cost distribution of active-manager excess returns, by investment mandate Ten-year annualized excess returns versus market benchmarks: As of December 31, 2009 300 Regional benchmark return Number of funds 250 200 150 100 All regions: 1,236 worse (70%) Global: 437 (64%) United States: 210 (65%) Europe: 383 (76%) Eurozone: 206 (78%) All regions: 538 better (30%) Global: 244 (36%) United States: 114 (35%) Europe: 122 (24%) Eurozone: 58 (22%) 50 0 Less than 8% Between 7% and 8% Between 6% and 7% Between 5% and 6% Between 4% and 5% Between 3% and 4% Between 2% and 3% Between 1% and 2% Between 0% and 1% Between 0% and 1% Between 1% and 2% Between 2% and 3% Between 3% and 4% Between 4% and 5% Between 5% and 6% Between 6% and 7% Between 7% and 8% Greater than 8% Global United States Europe Eurozone Notes: a. Data do not account for front- or back-end sales loads. b. For this comparison, we evaluated active funds after cost against a costless market benchmark. When implementing with a pooled or exchange-traded index fund, transaction costs, expense ratios, and tracking error must be accounted for. Annualized excess returns for funds from each region were measured against the corresponding MSCI benchmark for which ten-year return data were available. Europe-based funds were measured against the MSCI Europe Index, Eurozone funds against the MSCI EMU Index, U.S. funds against the MSCI USA Index, and global funds against the MSCI World Free Index. Benchmark returns were measured using total return information. All returns are in euro. We excluded sector funds, specialty funds, and real estate funds. We also combined all share classes, using the class with the longest history. c. Mutual fund database survivor bias tends to overstate the average long-term returns reported by active-manager databases. Survivorship bias results when fund returns are not adjusted for those funds that no longer exist. Most commercial databases exclude the records of extinct funds, which have usually closed or merged with other funds because of subpar records. This causes the average returns to rise, because as underperformers are removed, new funds replace them. For example, the ten-year distribution in Figure 2 represents only funds that are currently alive and had a ten-year track record as of December 31, 2009. In fact, when survivorship bias is combined with fees and benchmark mismatching (i.e., holding onto winners), it has been shown that active managers, particularly small-cap managers, tend to underperform a given benchmark (Malkiel and Radisich, 2001; Ennis and Sebastian, 2002). Sources: Vanguard calculations, using data from Morningstar, Inc., and Thomson Reuters Datastream. 6

Figure 3. After-cost distribution of active-manager excess returns, by investment mandate Ten-year distribution of net excess returns of regional funds versus regional benchmarks: As of December 31, 2009 150 Regional benchmark return Number of funds 120 90 60 All regions: 623 worse (70%) Pacific ex Japan: 157 (83%) Japan: 166 (80%) U.K.: 130 (48%) Europe ex U.K.: 61 (66%) Emerging markets: 109 (83%) All regions: 271 better (30%) Pacific ex Japan: 33 (17%) Japan: 41 (20%) U.K.: 143 (52%) Europe ex U.K.: 32 (34%) Emerging markets: 22 (17%) 30 0 Less than 8% Between 7% and 8% Between 6% and 7% Between 5% and 6% Between 4% and 5% Between 3% and 4% Between 2% and 3% Between 1% and 2% Between 0% and 1% Between 0% and 1% Between 1% and 2% Between 2% and 3% Between 3% and 4% Between 4% and 5% Between 5% and 6% Between 6% and 7% Between 7% and 8% Greater than 8% Pacific ex Japan Japan U.K. Europe ex U.K. Emerging markets Notes: a. Data do not account for front- or back-end sales loads. b. Annualized excess returns for funds from each region were measured against a corresponding benchmark for which ten-year return data were available. Equity benchmarks represented by FTSE All-World Asia Pacific ex Japan, FTSE World Japan, FTSE World United Kingdom, FTSE All-World Europe ex United Kingdom, and FTSE Emerging Markets Indexes. All returns are in euro. Ten-year returns for MSCI benchmarks in euro were unavailable for these specific regions. Benchmark returns were measured using total return information. We combined all share classes, using the class with the longest history. Sources: Vanguard calculations, using data from Morningstar, Inc., and Thomson Reuters Datastream. Indexing remains viable for countries, regions, and emerging markets In Figure 3 we expand our analysis to include two specific countries the United Kingdom and Japan as well as the European and Asian regions excluding these countries. Figure 3 demonstrates that the concept of indexing holds regardless of the size of the market or of whether the market is broad and focused, for instance, on a global benchmark or more narrowly focused, such as on a specific country. In fact, in each instance the benchmark outperformed close to or over 50% of the active funds over the ten years ended December 31, 2009. To address the argument of efficiency, we also include in Figure 3 an analysis of emerging markets. Traditionally it has been claimed that indexing only works effectively in broad markets, which are viewed as highly efficient. For example, the U.S. government bond market is considered one of the most efficient markets, meaning that there should not be a great deal of room for active managers to add value. Markets such as those for high-yield bonds or emerging-market equities are often seen as much less efficient and thus better suited for active management. As a result, this reasoning goes, indexing is expected to underperform a larger 7

Figure 4. After-cost distribution of excess returns of actively managed fixed income funds Ten-year distribution of annualized excess returns versus Barclays Capital benchmarks: As of December 31, 2009 Number of funds 350 300 250 200 150 100 All regions: 837 worse (86%) U.S. dollar diversified: 71 (92%) Euro diversified: 394 (99%) Euro short-term: 248 (99%) Global: 87 (43%) Euro high-yield: 37 (90%) Regional benchmark return All regions: 134 better (14%) U.S. dollar diversified: 6 (8%) Euro diversified: 6 (1%) Euro short-term: 2 (1%) Global: 116 (57%) Euro high-yield: 4 (10%) 50 0 Less than 8% Between 7% and 8% Between 6% and 7% Between 5% and 6% Between 4% and 5% Between 3% and 4% Between 2% and 3% Between 1% and 2% Between 0% and 1% Between 0% and 1% Between 1% and 2% Between 2% and 3% Between 3% and 4% Between 4% and 5% Between 5% and 6% Between 6% and 7% Between 7% and 8% Greater than 8% U.S. dollar diversified Euro diversified Euro short-term Global Euro high-yield Notes: a. Data do not account for front- or back-end sales loads. b. Annualized excess returns for funds from each region were measured against the corresponding Barclays Capital benchmark for which ten-year return data were available. U.S. dollar-diversified funds were measured against the Barclays Capital U.S. Aggregate Bond Index; euro-diversified funds were measured against the Barclays Capital Euro-Aggregate Index; euro short-term funds against the Barclays Capital Euro-Aggregate 3 5 Year Index; global funds against the Barclays Capital Global Aggregate Index; and euro high-yield funds against the Barclays Capital Pan-European High Yield Index. Benchmark returns were measured using total return information. All returns are in euro. We combined all share classes, using the class with the longest history. Sources: Vanguard calculations, using data from Barclays Capital and Morningstar, Inc. majority of active managers in such markets. Figure 3 illustrates that 83% of emerging market funds underperformed the FTSE Emerging Markets Index. To be sure, these results will change depending on the time period analyzed or even the benchmark used; however, we have shown that over longer periods the case for indexing across asset classes and sub-asset classes has remained robust. Further, as more funds enter the arena and more data accumulate, indexing s advantages are likely to become more robust. Indexing fixed income mandates In an excess-return distribution of fixed income funds, we would expect the magnitude of dispersion to be significantly narrower than that observed in the equity market. In fact, because of the increased dispersion of security returns within the equity market itself, the performance distributions of equity funds as shown in Figures 2 and 3 are more than twice as broad as the distribution of fixed income funds in Figure 4. 8

We noted a typical distribution with respect to average fixed income vehicles performance concentrated in the middle bars of the distribution. This narrow distribution occurs because a large portion of bond returns is determined by interest rate fluctuations, movements of yield curves, and changes in credit quality, as well as by an active manager s positioning of a fund relative to its peers and benchmarks. These factors account for the primary differences between the relative performance of actively managed bond funds and their benchmarks. This is in marked contrast to the equity markets, where return dispersion is much wider and risk-factor differentials such as size and style under- or overweights to peers and benchmarks amplify the dispersion of returns. The equity universe also has a much wider security distribution, in which returns are unique to company and sector, which can further affect relative performance. As a result of the narrower distribution across fixed income fund returns, a low-cost strategy has the potential for even greater relative impact, and stands a greater chance of falling to the right of a significant percentage of similar funds. And because a significant majority of funds in Figure 4 underperformed broad-market benchmarks, a lowcost indexing strategy means that an index vehicle again has an edge versus active funds in long-term performance. In addition, over this ten-year period high-yield mandates failed, on average, to outperform the market benchmark. This was notable, in that high-yield bonds are often associated with increased opportunity for active managers to add value. However, even here, costs seemed to significantly outweigh the opportunity to outperform. Although active management in the fixed income arena is significantly affected by costs, indexing with bonds may not be as straightforward as indexing with equities. Unlike equities, bonds do not trade on exchanges that are liquid and efficient. Instead, the bond market is dominated by bond brokers, leading to relative illiquidity and higher costs. As a result, bond index funds may incur a larger performance drag relative to equity index funds. Indexing in the United Kingdom Looking deeper at a specific market can also shed light on the value of indexing as an investment strategy. For example, Figure 5, on page 11, focuses on the United Kingdom s equity market by examining the relative performance of funds based on their Morningstar category. In other words, we evaluated growth funds versus a growth benchmark, value funds versus a value benchmark, and small-cap funds versus a small-cap benchmark. For this analysis we used only U.K.-domiciled funds, denominated in pounds sterling. We modified our criteria for this example to demonstrate that the theory of indexing is relevant regardless of domicile or currency. Although, as Figure 5 shows, the number of funds within each category is relatively small compared with the European or offshore categories, we were able to obtain a more detailed picture of how actively managed funds specific to the U.K. market have performed over the five and ten years ended December 31, 2009. As expected, regardless of the time period, active managers did not consistently beat their style benchmarks. In fact, comparing the five- and ten-year results, we found significant volatility and little evidence of one style regularly outperforming. And even though the five-year numbers for large-cap value funds look exceptional, much of this outperformance can likely be explained by the relative performance of the value benchmark in general. As discussed in Philips and Kinniry (2009), because value significantly lagged growth over this time period (3.4% versus 9.6%), 6 any value managers who held growth stocks had a much greater probability of outperforming the value benchmark. While we do not have specific data regarding the holdings of U.K. managers, we know from experience in the U.S. market that active managers vary widely in their average portfolio exposures, resulting in significant overlap between growth and value funds. 6 Sources: Returns represented by the FTSE UK Value Index and FTSE UK Growth Index, retrieved from Thomson Reuters Datastream. 9

It s also notable that actively managed small-cap funds appear to have had success in beating the FTSE Small Cap Index. Similarly in the U.S. market, small-cap managers have had tremendous success beating the Russell 2000 Index over time. However, as we discussed in both Philips (2010) and Davis et al. (2007), a very different outcome has resulted from using small-cap benchmarks available from Standard & Poor s or MSCI. This raises the question of whether the managers actually have displayed skill or, instead, have been evaluated versus a potentially less appropriate benchmark. This is important because a similar dynamic may be present in the U.K. market. If, for example, we compare the actively managed small-cap funds in the United Kingdom versus a small-cap benchmark available from MSCI, we see that 65% of funds underperformed the index for the past five years, and that 74% underperformed the benchmark for the last ten years. As a result, investors should be aware of benchmark differences and of the implications for both manager and benchmark selection. Figure 6, on page 12, performs the same analysis for U.K.-domiciled fixed income funds. Not surprisingly, we again obtained results similar to those of the fixed income analysis for broader European-domiciled funds. Figure 6 evaluates three distinct fixed income fund categories: government bond funds, diversified bond funds, and corporate bond funds. It indicates that, over both the past five and ten years, diversified bond funds performed the most consistently, with close to 50% outperforming a diversified benchmark. Corporate funds have performed better over the past five years, with 59% of funds outperforming a corporate benchmark, than over the full time period (only 33% outperformed over the past ten years), while government funds struggled to outperform a government benchmark in either time period. The indexing cost advantage Compared with index funds, actively managed funds typically have higher management fees coupled with higher transaction costs. The higher fees often result from costs associated with the research and investment process that an active fund manager conducts. Higher transaction costs are attributable to the generally higher turnover associated with active management s attempt to outperform the benchmark. Index funds generally operate with lower costs, regardless of asset class or sub-asset class. Index funds derive their low-cost structure from their low management fees and low turnover. Turnover, or the buying and selling of securities within a fund, results in transaction costs such as commissions, bid-ask spreads, market impact, and opportunity cost. Trading costs, although incurred by every fund, are generally opaque, but are realized in net returns. A fund with abnormally high turnover would thus likely incur larger trading costs. All else equal, the impact of these costs would reduce total returns realized by the investors in the fund. A fund s expense ratio, however, is transparent and represents shareholder payments to fund managers. Minimizing cost is critical to achieving long-term investment success. Not surprisingly, we found this to be no less true for European and offshore funds than for U.S.-domiciled funds. A crucial factor to bear in mind is that costs, unlike future performance, are both more predictable and more controllable. Also, contrary to the typical economic relationship between price and value, higher costs do not tend to lead to higher longterm returns. Every dollar paid for management fees, trading, and taxes (where applicable) can generally be assumed to be a dollar less of potential return. Research bears this out. For example, Financial Research Corporation (2002) evaluated the predictive 10

Figure 5. Relative performance of actively managed U.K. equity funds: Data through December 31, 2009 a. Five-year distribution of excess returns 60 Regional benchmark return Number of funds 50 40 30 20 All regions: 181 worse (51%) Large blend: 82 (62%) Large growth: 9 (90%) Large value: 29 (25%) Mid-cap: 37 (88%) Small-cap: 24 (42%) All regions: 177 better (49%) Large blend: 51 (38%) Large growth: 1 (10%) Large value: 87 (75%) Mid-cap: 5 (12%) Small-cap: 33 (58%) 10 0 Less than 8% Between 7% and 8% Between 6% and 7% Between 5% and 6% Between 4% and 5% Between 3% and 4% Between 2% and 3% Between 1% and 2% Between 0% and 1% Between 0% and 1% Between 1% and 2% Between 2% and 3% Between 3% and 4% Between 4% and 5% Between 5% and 6% Between 6% and 7% Between 7% and 8% Greater than 8% b. Ten-year distribution of excess returns Number of funds 40 35 30 25 20 15 All regions: 120 worse (50%) Large blend: 40 (43%) Large growth: 0 (0%) Large value: 46 (58%) Mid-cap: 19 (79%) Small-cap: 15 (36%) Regional benchmark return All regions: 121 better (50%) Large blend: 52 (57%) Large growth: 4 (100%) Large value: 33 (42%) Mid-cap: 5 (21%) Small-cap: 27 (64%) 10 5 0 Less than 8% Between 7% and 8% Between 6% and 7% Between 5% and 6% Between 4% and 5% Between 3% and 4% Between 2% and 3% Between 1% and 2% Between 0% and 1% Between 0% and 1% Between 1% and 2% Between 2% and 3% Between 3% and 4% Between 4% and 5% Between 5% and 6% Between 6% and 7% Between 7% and 8% Greater than 8% Large blend Large growth Large value Mid-cap Small-cap Notes: All fund and benchmark returns are in pounds sterling. Use of alternative indexes provided by MSCI generated similar results for large-cap blend, growth, and value fund categories, but led to significant disparity with respect to small-cap performance. Using the MSCI U.K. Small Cap Index would result in 65% of small-cap funds underperforming the benchmark over the past five years and 74% over the past ten years. Sources: Vanguard, using data provided by Morningstar, Inc., and Thomson Reuters Datastream. Benchmarks represented by FTSE 100 Index, FTSE U.K. Growth Index, FTSE U.K. Value Index, FTSE 250 Index, and FTSE Small Cap Index. All data through December 31, 2009. 11

Figure 6. Relative performance of actively managed U.K. fixed income funds: Data through December 31, 2009 a. Five-year distribution of excess returns Number of funds 40 35 30 25 20 15 All regions: 74 worse (51%) Government: 24 (86%) Diversified: 16 (48%) Corporate: 34 (41%) Regional benchmark return All regions: 70 better (49%) Government: 4 (14%) Diversified: 17 (52%) Corporate: 49 (59%) 10 5 0 Less than 8% Between 7% and 8% Between 6% and 7% Between 5% and 6% Between 4% and 5% Between 3% and 4% Between 2% and 3% Between 1% and 2% Between 0% and 1% Between 0% and 1% Between 1% and 2% Between 2% and 3% Between 3% and 4% Between 4% and 5% Between 5% and 6% Between 6% and 7% Between 7% and 8% Greater than 8% b. 10-year distribution of excess returns 30 Regional benchmark return Number of funds 25 20 15 10 All regions: 52 worse (71%) Government: 19 (100%) Diversified: 7 (47%) Corporate: 26 (67%) All regions: 21 better (29%) Government: 0 (0%) Diversified: 8 (53%) Corporate: 13 (33%) 5 0 Less than 8% Between 7% and 8% Between 6% and 7% Between 5% and 6% Between 4% and 5% Between 3% and 4% Between 2% and 3% Between 1% and 2% Between 0% and 1% Between 0% and 1% Between 1% and 2% Between 2% and 3% Between 3% and 4% Between 4% and 5% Between 5% and 6% Between 6% and 7% Between 7% and 8% Greater than 8% Government Diversified Corporate Note: All fund and benchmark returns are in pounds sterling. Sources: Vanguard calculations, using data provided by Morningstar, Inc., and Thomson Reuters Datastream. Benchmarks represented by Barclays Capital Sterling Aggregate Government Index, Barclays Capital Sterling Aggregate Index, and Barclays Capital Sterling Aggregate Corporate Index. Data for the Sterling Aggregate Index started in March 2000 from Thomson Reuters Datastream. To fill in for January and February 2000, we used the Markit iboxx Sterling Index. 12

Figure 7. Higher costs have correlated with lower excess returns Global large-cap Europe large-cap U.S. large-cap Euro diversifed Euro government 10-year annualized excess return (scale from 15% to 15%) U.K. large-cap U.K. mid-/small-cap Emerging markets Euro corporate Euro high-yield 10-year annualized excess return (scale from 15% to 15%) Expenses (scale from 0% to 3%) Expenses (scale from 0% to 3%) Notes: All returns are in euro; all data through December 31, 2009. Expense scales were standardized to show the relationship in the slopes relative to each other. Some funds expenses and returns go beyond the scales. Sources: Vanguard calculations, using data from Morningstar, Inc., and Thomson Reuters Datastream. Benchmarks include MSCI World Free, MSCI Europe, MSCI USA, FTSE 100, FTSE 250, FTSE Emerging Markets, Barclays Capital Euro-Aggregate, Barclays Capital Euro-Aggregate Government, Barclays Capital Euro-Aggregate Corporate, and Barclays Capital Pan-Euro High Yield Indexes. value of different metrics for funds domiciled in the United States, including a fund s expense ratio, past performance, Morningstar rating, alpha, and beta. In the study, a fund s expense ratio was the most reliable predictor of its future performance, with lowcost funds delivering above-average performances in all of the periods examined. A fund s expense ratio has been a valuable predictor of its performance, because the expense ratio is one of the few performance factors that are known in advance. Figure 7 shows the inverse relationship between expenses and excess returns for the ten years ended December 31, 2009, for ten distinct fund categories. Specifically, the figure shows the ten-year annualized returns of each fund relative to its regional or style benchmark. To demonstrate the impact of costs, we show a fund s excess return relative to its listed expense ratio as reported to Morningstar. The red line in each box represents the trend line plotting the linear relationship between expenses and excess returns. This analysis demonstrates that higher expenses have generally been correlated with lower excess returns. For investors, the clear implication is that by focusing on low-cost funds, the probability of outperforming higher-cost funds has increased. Impact of cost on fund performance Over the long term, the cost drag for actively managed funds can detract significantly from actual performance relative to a benchmark. By contrast, lower-cost index funds have often been shown to track the benchmark more closely over time, thus giving them the potential to outperform higher- Some key terms Alpha. A portfolio s risk-adjusted excess return versus its effective benchmark. Beta. A measure of the volatility of a security or a portfolio relative to a benchmark. 13

Figure 8. Manager costs matter less in the short term Rolling excess returns for actively managed funds focused on European, global, and U.S. markets (December 31, 1992 December 31, 2009) 25% 20 Annualized excess returns versus market benchmark 15 10 5 0 5 10 15 20 25 30 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 1-year excess return: United States 1-year excess return: Global 1-year excess return: Europe 10-year excess returns: United States 10-year excess returns: Global 10-year excess returns: Europe Notes: European market represented by MSCI Europe Index; global stocks represented by MSCI World Free Index; and U.S. stocks represented by MSCI USA Index. All returns are in euro. Sources: Vanguard calculations, using data from Morningstar, Inc., and Thomson Reuters Datastream. cost actively managed funds over time. However, although costs are very important in the relative long-term performance of actively managed funds versus index funds, when short-term performance is evaluated, relative cost differentials may have less of an impact on a fund s or category s relative ranking. This is because of the fact that active funds returns can vary widely. Depending on the dispersion of active manager returns, costs can be a much smaller factor over shorter time frames such as one, three, or even five years. Over time, however, the relative cost advantages of indexing compound. When combined with tighter distributions and a lack of strong manager persistence, these advantages become more stable, with an edge toward relative net outperformance. For example, when comparing the excess return distributions of equity and fixed income funds, we showed that active fixed income managers experienced narrower return dispersion relative to active equity managers. We would therefore expect costs to play a more important role over both the short term and long term for fixed income managers relative to equity managers. But as the time period lengthens, costs become a primary determinant of relative performance for equity funds as well. To help quantify the impact of costs over the short term versus the long term, Figure 8 shows the one- and ten-year excess returns for active funds investing in European, U.S., and global stocks. Again, we combined both European-domiciled and offshoredomiciled funds for this analysis because of the similarities in cost. Excess returns were used to better correlate with costs. As we expected, the figure suggests that costs compound consistently through time, providing a steadier impact on annualized returns over longer periods, while in the short term there is much greater volatility as a result of security, 14

Figure 9. Relative historical performance of active managers: Rolling ten years ended December 31, 2002, through December 31, 2009 Percentage of active managers outperforming benchmark 100% 90 80 70 60 50% 40 30 20 10 Funds with ten-year track record As of December 31, 2002 Europe large-cap 71 Europe mid-/small-cap 6 U.S. large-cap 61 U.S. mid-/small-cap 12 Global large-cap 114 Global mid-/small-cap 6 As of December 31, 2009 Europe large-cap 408 Europe mid-/small-cap 93 U.S. large-cap 271 U.S. mid-/small-cap 47 Global large-cap 624 Global mid-/small-cap 38 0 Jan. 2003 Jan. 2004 Jan. 2005 Jan. 2006 Jan. 2007 Jan. 2008 Jan. 2009 Ten-year periods ended... Global funds U.S. funds Europe funds Notes: European market represented by MSCI Europe Index; global market represented by MSCI All Country World Free Index; and U.S. market represented by MSCI USA Index. Returns were compared to FTSE and Dow Jones benchmarks with similar results. All returns are in euro. Sources: Vanguard calculations, using data from Morningstar, Inc., and Thomson Financial. style, and manager dispersion. Of course, this does not indicate that active management is more likely to win in the short term only that portfolio construction decisions play a much greater role in short-term relative performance. In a market with wide return dispersion, active managers benefit directly from specific market segments outperformance, far overshadowing the potential cost disadvantage. Deepening the discussion of relative outperformance Relative performance over time Traditionally, to illustrate the relative performance of indexing and active strategies, point-in-time statistics (referring to one specific time period) such as those presented in Figures 2 through 6 are used. However, alternative analyses can enhance the discussion, potentially leading to a more robust answer regarding relative performance. Over time, the actual percentage of active funds underperforming a particular index will vary, but historically, the long-term return distribution of active managers has been skewed toward underperformance of the broad market, largely due to the cumulative effect of costs. A study undertaken in 2006 by London-based financial advisor Bestinvest (Ruzicka, 2007) showed that since the mid-1980s, only 35% of actively managed funds in the United Kingdom All Companies sector had outperformed the FTSE All-Share Index over a rolling three-year period. We performed a similar analysis in Figure 9, using a rolling ten-year window of active funds versus their MSCI benchmarks. A rolling ten-year window as opposed to a rolling three-year window demonstrates more effectively the effect of cost drag over time. The figure also inherently suggests how the ten-year distributions in Figure 2 have changed over time. 15

Figure 10. Equity markets Europe large blend Excess returns help quantify relative performance of European and offshore active managers Global large blend U.S. large blend U.S. large growth Excess returns provide additional insight Given that no information is provided on the magnitude of managers out- or underperformance of an index, to evaluate managers using the percentage outperforming assumes that a manager who outperforms a benchmark by 0.01% has achieved a result as significant as one who outperforms by 10%. 3.45% 1.17 2.28 Asia/Pacific with Japan 3.74% 3.78 0.05 4.00% 3.30 0.70 Asia/Pacific without Japan 2.47% 5.31 2.84 6.18% 4.44 1.74 5.72% 6.29 0.57 To account for the magnitude of performance, we can look at average excess returns of active managers versus a benchmark. Such a statistic provides investors with a sense of how active management has performed on average whether delivering positive or negative excess returns and how much. Figure 10, calculates the average excess returns for European and offshore active managers in both equity and fixed income segments. For example, it shows that the average U.S. large-cap growth manager outperformed by 57 basis points, whereas the average European large-cap blend manager underperformed by 228 basis points. Fixed income markets U.S. dollar diversified 1.34% 2.59 1.25 Euro diversified 3.82% 5.32 1.50 Equal-weighted average Benchmark return Excess return Euro short-term 2.79% 5.15 2.36 Global 3.01% 2.74 0.27 Euro high-yield 2.63% 4.97 2.34 Although excess returns add additional perspective, we want to emphasize that as the time period lengthens, excess returns should converge closer to the average cost drag of active managers. For example, European large-cap blend funds would not be expected to underperform the market by 228 basis points for an extended period. Similarly, we would not expect U.S. large-cap growth funds to continue perpetually to outperform the benchmark by 57 basis points. Most likely, these performance gaps are cyclical and will tend to converge to the cost drag over longer future periods. Notes: Analysis represents ten-year annualized returns as of December 31, 2009. To preserve statistical integrity, we excluded any fund sample with fewer than 30 funds. Excess return represents the average net returns of the funds in a particular investment mandate relative to the performance of the mandate s most appropriate benchmark. All returns are in euro. Any discrepancies in underperformance figures are due to rounding. Sources: Average active fund returns from Morningstar, Inc. MSCI and Barclay Capital benchmarks were used. Equity benchmarks represented by MSCI Europe, MSCI World Free, S&P 500, S&P 500 Growth, FTSE Asia Pacific with Japan, and FTSE Asia Pacific ex Japan Indexes. Fixed income benchmarks represented by Barclays Capital U.S. Aggregate Bond, Barclays Capital Euro-Aggregate, and Barclays Capital Euro-Aggregate 1 5 Year Indexes. 16

Benefits of indexing in portfolio makeup Active managers must differentiate their portfolio from a benchmark if they are to outperform the benchmark. This obviously leads to portfolios that can look and perform very differently from a given index. As a result, for those investors primarily interested in obtaining the market return or in reducing a fund s volatility around a benchmark, indexing should warrant strong consideration. Historically, broad diversification and style consistency have helped to provide more predictable returns relative to a targeted broad benchmark. As a result, index funds and ETFs play an important role in the portfolioconstruction process. An index mandate also allows greater control over a portfolio s risks. For example, filling a model s recommended equity asset allocation with a fund characterized by a concentrated portfolio of holdings would likely result in an allocation that differs at any given point in time from the risk-andreturn characteristics of the equity market and the model s asset allocation assumptions. Diversification Index funds typically are more diversified than actively managed funds, a by-product of the way indexes are constructed. Except for index funds that track narrow market segments, most index funds must hold a broad range of securities to accurately track their target benchmarks, whether by replicating them outright or by a sampling method. The broad range of securities dampens the risk associated with specific securities and removes a component of return volatility. Actively managed funds, on the other hand, tend to hold fewer securities with varying degrees of return correlation. Style consistency An index fund maintains its style consistency by attempting to closely track the characteristics of the index. An investor who desires exposure to a particular market and selects an index fund that tracks that market is virtually assured of a consistent allocation. An active manager may have a broader mandate, causing the fund to be a moving target from a style point of view. Many active managers can choose to vary their investments among small-, medium-, or large-cap stocks, betting on whichever segment is expected to perform best. Even if a manager has a well-defined mandate, the decision to hold more or less of a security than the index holds will lead to performance differences. Conclusion Since its beginnings in the early 1970s, indexing has grown rapidly because it provides a simplified, efficient investment vehicle with the potential to increase shareholder wealth across a broad range of asset and sub-asset classes. The recent popularity of pooled and exchange-traded index funds in Europe provides evidence of the region s growing interest in passive strategies. Primarily because of their low-cost structure, index investments have generally offered the opportunity for long-term outperformance relative to a majority of actively managed funds. In fact, if broadly diversified active funds were able to minimize fees and turnover on a par with index funds, much of the indexing advantage would be eliminated. The reality of active management, however, is that costs are generally higher, giving index funds a head start in relative performance. 17