When do enhanced indexation managers add alpha? In previous papers, 1 we identified market circumstances that seem to have a positive

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1 When do enhanced indexation managers add alpha? In previous papers, 1 we identified market circumstances that seem to have a positive Ingrid Tierens New York: Originally published: October 15, 23 Updated: March 1, 24 influence on the ability of active equity managers and hedge fund managers to add alpha. This paper presents an extension to this research for enhanced indexation managers. We find that: Enhanced indexation managers generated more alpha in momentum-driven and small-cap tilted markets. The importance of the momentum factor has increased through time. Positive performance on average before fees, negative performance after fees To analyze enhanced indexation performance, we used monthly returns from January 199 to February 24 for a representative basket of enhanced indexation mutual funds benchmarked against the S&P. 2 We converted the monthly net-of-fees returns 3 to monthly gross-of-fees returns by adding back 1/12 th of the current expense ratio of each fund. 4 The distribution of gross-of-fees alphas across all enhanced indexation funds seems normally distributed and centered around zero basis points per month (Exhibit 1). Exhibit 1: Performance of enhanced indexation mutual funds covers a wide range (Monthly data from January 199 to February 24) 35% 3% Monthly Excess Return -6.9 bps (net-of-fees) -.1 bps (gross-of-fees) 25% 2% 15% Net-of-Fees Gross-of-Fees 1% 5% % Monthly Return in Excess of S&P (%) Source: FAME Information Services, Standard & Poor s, Bloomberg and Goldman Sachs estimates. 1 When do active equity managers add alpha?, Joanne M. Hill and Ingrid Tierens, Updated March 1, 24 and When do hedge fund managers add alpha?, Sandy Rattray and Venkatesh Balasubramanian, Updated March 1, The basket consists of enhanced indexation funds benchmarked against the S&P index, and represented approximately $8.7 billion in assets under management at the end of Our study on active equity manager alpha used quarterly gross-of-fees returns for institutional core, value and growth managers in the Russell equity manager universe. Here, we use monthly net-of-fees returns for enhanced indexation mutual fund managers. 4 We, therefore, implicitly assume that the expense ratio has been constant throughout the life of each fund. The median expense ratio for the funds in our basket is 99 bps per annum. Goldman Sachs Equity Derivatives Strategy 1

2 North America Exhibit 2: The median enhanced indexation fund marginally outperformed on a grossof-fees basis (Monthly data from January 199 to February 24) 1 Feb4 Dec96 Jan97- Feb4 + 1 Std.Dev Feb4 Dec96 Jan97- Feb4 Median Manager vs. Benchmark (mthly ret in bps) Std. Dev NET-OF-FEES GROSS-OF-FEES 43% 44% 42% 49% % 49% % of Months > S&P Source: FAME Information Services, Standard & Poor s, Bloomberg and Goldman Sachs estimates. What market environments seem advantageous for enhanced indexation managers? The common intuition that active managers tend to perform better in down markets does not hold up for enhanced indexation managers. While we found a significantly negative link between manager alpha and market returns for active institutional equity managers, the alpha generated by enhanced indexation managers does not bear a significant connection with market direction (Exhibit 3). Exhibit 3: Median enhanced index manager performance does not seem to be driven by market direction (Monthly data from January 199 to February 24, net-of-fees) 2 Monthly Median Manager Outperformance (bps) Insignificant relationship -2-2 Monthly S&P Index Return (%) Source: FAME Information Services, Standard & Poor s and Goldman Sachs estimates. 2 Goldman Sachs Equity Derivatives Strategy

3 Exhibit 4: Factors used to explain relative performance of enhanced indexation managers Proxy for Factor Expected Impact on Manager Excess Return Cash-drag Small-cap tilt Style dominance S&P - Treasury Bill Return S&P 6 - S&P * S&P Value - S&P Growth Cross-stock dispersion Ratio of Stock to Index Variance Momentum High 11-Mth Price Return - Low 11-Mth Price Return *Note: Russell 2 - S&P before inception of the S&P 6 index (January 1994) Source: FAME Information Services, Standard & Poor s, Ibbotson Associates, Fama / French and Goldman Sachs estimates. To identify market environments that might improve the ability of enhanced indexation managers to beat their S&P benchmark, we focused on the same set of market drivers we used for the active institutional equity manager universe. Exhibit 4 summarizes these factors, the proxies we used to quantify them, and their expected impact on alphas. 5 As some of the factors tend to be highly correlated, we performed a stepwise regression for the median fund return, both before and after fees. Our analysis suggests that the largest contribution to enhanced index alpha has come from momentum, followed by small-cap tilt (Exhibit 5). A comparison of the first half of the sample ( ) with the second half of the sample ( ) shows that momentum has become the main market-wide driver in the second half of the sample, while small-cap tilt was the only relevant factor earlier on. Our selection of market-wide factors explains about one quarter of the variation of median enhanced indexation alpha. Exhibit 5: Momentum has become a more important performance driver for enhanced indexation alpha (Monthly data from January 199 to February 24) A. Net-of-fees B. Gross-of-fees 1 Adj R-square: 25% Adj R-square: 42% Adj R-square: 3% 1 Adj R-square: 25% Adj R-square: 42% Adj R-square: 29% Annualized Contribution (bps) bps bps bps Annualized Contribution (bps) 1-52 bps bps bps Momentum Small-Cap Tilt Intercept Momentum Small-Cap Tilt Intercept Source: FAME Information Services, Standard & Poor s, Bloomberg, Fama / French and Goldman Sachs estimates. 5 For a motivation for each of these factors, see When do active equity managers add alpha?, Joanne M. Hill and Ingrid Tierens, Updated March 1, 24. Goldman Sachs Equity Derivatives Strategy 3

4 North America Corresponding r-squares for traditional institutional equity managers were noticeably higher (between 4% and 6%). The lower r-squares indicate that even though the overall market environment has some impact on the ability of enhanced index managers to beat the S&P, idiosyncratic rather than market-wide factors appear to be the main drivers. Looking at the funds on an individual basis, we find that momentum plays a significant role to explain the alpha of about two-thirds of the funds. Our basket of enhanced indexation funds does not include enhanced index managers who predominantly use non-equity instruments or derivatives to add alpha. We found that the alpha of those funds was not influenced by any of the factors we examined. Conclusion While the alpha of institutional active equity core and value managers, as well as long/short and market-neutral hedge fund managers, seems to improve when dispersion across stocks is high, the alpha of enhanced indexation funds appears to be mainly driven by momentum in the market. Small-cap tilted markets improve enhanced indexation alpha as well. These alpha drivers could potentially indicate biases embedded in the investment processes of the typical enhanced indexation manager. 4 Goldman Sachs Equity Derivatives Strategy

5 Copyright 24. The Goldman Sachs Group, Inc. All rights reserved. This material was prepared by the Equity Derivatives Strategies Group within the Equities Division and is not the product of Goldman Sachs Global Investment Research. It is not a research report and should not be construed as such. The Goldman Sachs Group, Inc. is a full-service, integrated investment banking, investment management, and brokerage firm. We are a leading underwriter of securities and a leading participant in virtually all trading markets. We have investment banking and other business relationships with a substantial number of companies. Investors should assume that The Goldman Sachs Group, Inc. and/or its affiliates are conducting, seeking or will seek investment banking or other business from any company or companies that may be mentioned in this material and trade or will trade as principal in the securities of those companies. The professionals who prepared this material are paid in part based on the profitability of The Goldman Sachs Group, Inc., which includes earnings from the firm s trading, capital markets, investment banking and other business. They, along with other salespeople, traders, and other professionals may provide oral or written market commentary or trading strategies to our clients that reflect opinions that are contrary to the opinions expressed herein, and our proprietary trading and investing businesses may make investment decisions that are inconsistent with the views expressed herein. In addition, the professionals who prepared this material may also produce material for, and from time to time, may advise, Goldman Sachs sales and trading desks. This material should not be construed as an offer to sell or the solicitation of an offer to buy any security in any jurisdiction where such an offer or solicitation would be illegal. We are not soliciting any action based on this material. It is for the general information of clients of The Goldman Sachs Group, Inc. It does not constitute a personal recommendation or take into account the particular investment objectives, financial situations, or needs of individual clients. Before acting on any advice or recommendation in this material, clients should consider whether it is suitable for their particular circumstances and, if necessary, seek professional advice. The price and value of the investments referred to in this material and the income from them may go down as well as up, and investors may realize losses on any investments. Past performance is not a guide to future performance. Future returns are not guaranteed, and a loss of original capital may occur. The Goldman Sachs Group, Inc. does not provide tax advice to its clients, and all investors are strongly advised to consult with their tax advisers regarding any potential investment. 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This material is distributed in the United States by Goldman, Sachs & Co., in Hong Kong by Goldman Sachs (Asia) L.L.C., in Korea by Goldman Sachs (Asia) L.L.C., Seoul Branch, in Japan by Goldman Sachs (Japan) Ltd., in Australia by Goldman Sachs Australia Pty Limited (ACN ), and in Singapore by Goldman Sachs (Singapore) Pte. This material has been issued by The Goldman Sachs Group, Inc. and/or one of its affiliates and has been approved for the purposes of section 21 of the Financial Services and Markets Act 2 by Goldman Sachs International, which is regulated by the Financial Services Authority, in connection with its distribution in the United Kingdom, and by Goldman Sachs Canada, in connection with its distribution in Canada. We may, to the extent permitted under applicable law, have acted on or used this material prior to or immediately following its publication. Foreign-currency-denominated securities are subject to fluctuations in exchange rates that could have an adverse effect on the value or price of, or income derived from, the investment. In addition, investors in securities such as ADRs, the values of which are influenced by foreign currencies, effectively assume currency risk. In addition, options involve risk and are not suitable for all investors. Further information on any of the securities mentioned in this material may be obtained on request, and for this purpose, persons in Italy should contact Goldman Sachs S.I.M. S.p.A. in Milan or its London branch office at 133 Fleet Street; persons in Hong Kong should contact Goldman Sachs (Asia) L.L.C. at 2 Queen's Road Central; and persons in Australia should contact Goldman Sachs Australia Pty Limited. This material is not for distribution in the United Kingdom to private customers, as that term is defined under the rules of The Securities and Futures Authority. A glossary of certain of the financial terms used in this material is also available on request. Unless governing law permits otherwise, you must contact a Goldman Sachs entity in your home jurisdiction if you want to use our services in effecting a transaction in the securities mentioned in this material. Note: Options involve risk and are not suitable for all investors. Please ensure that you have read and understood the current options disclosure document before entering into any options transactions. Goldman Sachs Equity Derivatives Strategy 5

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