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Figure 13<br />
Relative Risk of Alternative Weighting Schemes<br />
Risk Measures<br />
S&P 500<br />
Equal<br />
Weight<br />
Index<br />
MSCI USA<br />
Minimum<br />
Volatility<br />
Index<br />
FTSE<br />
EDHEC-<br />
Risk<br />
Efficient<br />
US Index<br />
FTSE RAFI<br />
US 1000<br />
Index<br />
Max Relative Drawdown 13.60% 12.23% 8.43% 12.67%<br />
Start Date 2/23/07 11/21/08 4/21/06 6/29/07<br />
End Date 11/21/08 4/23/10 11/21/08 3/6/09<br />
Annualized Excess Return<br />
Over Cap-Weighted index<br />
3.24% 1.21% 3.75% 2.18%<br />
Tracking Error (TE) 4.64% 5.69% 3.82% 4.78%<br />
Extreme Tracking Error<br />
(95th Percentile Of 9.57% 7.42% 6.72 % 11.92%<br />
Rolling One Year TE)<br />
Source: EDHEC<br />
Note: The above table shows historical extremes of underperformance, annualized<br />
excess return over the cap-weighted index (the S&P 500 Index), annualized tracking<br />
error and extreme tracking error of the S&P 500 Equal Weight Index, the MSCI USA<br />
Minimum Volatility Index, the FTSE EDHEC-Risk Efficient US Index and the FTSE RAFI<br />
US 1000 Index with respect to the S&P 500 Index. Maximum relative drawdown for a<br />
strategy is the maximum drawdown of the long/short index whose return is given by<br />
the fractional change in the ratio of strategy index to the benchmark index. Extreme<br />
tracking error corresponds to the 95th percentile of rolling one-year tracking error,<br />
i.e., the annualized standard deviation of a portfolio long in the alternatively weighted<br />
index and short in the S&P 500 Index, over the entire horizon. All statistics are<br />
annualized and are based on weekly data from Jan. 3, 2003 to Dec. 30, 2011. Source:<br />
Amenc, Goltz, Lodh and Martellini [2012].<br />
On the other hand, alternative weighting schemes<br />
could also provide overperformance relative to capweighted<br />
indexes while not deviating too far from such<br />
standard indexes. In that case, the alternative weighting<br />
indexes are used as a replacement of benchmarked<br />
active management. In fact, generating smooth outperformance,<br />
while keeping relative risk in check, is a<br />
<strong>com</strong>mon objective of traditional active managers. When<br />
an alternative weighted index is used as a substitute for<br />
traditional active management, the cap-weighted index<br />
is still considered the reference index. In this context,<br />
the alternative weighted index—rather than replacing<br />
the cap-weighted index—serves as a <strong>com</strong>plement to the<br />
cap-weighted index. An important question that investors<br />
need to address in this context is how to manage the<br />
relative risk behind the alternative weighted strategy.<br />
The fact that alternative weighted indexes may be used as<br />
a substitute for traditional active managers, however, poses<br />
an important question. In fact, it is clear that <strong>com</strong>pared to the<br />
widespread procedures on manager selection, the industry<br />
has dedicated relatively little attention historically to benchmark<br />
selection. Thus, an important <strong>issue</strong> for the adoption and<br />
future development of alternative index strategies will be the<br />
establishment of a framework for analyzing such strategies,<br />
and for making selection and investment decisions across the<br />
growing range of alternative index strategies.<br />
References<br />
Amenc, N., F. Goltz and V. Le Sourd. 2006. Assessing the quality of stock market indices: Requirements for asset allocation and performance measurement. EDHEC-Risk Institute.<br />
Amenc, N., F. Goltz, A. Lodh and L. Martellini. 2012. Diversifying the diversifiers and tracking the tracking error: Outperforming cap-weighted indices with limited risk of<br />
underperformance. The Journal of Portfolio Management 38(3): 72-88.<br />
Amenc, N., F. Goltz, L. Martellini and P. Retkowsky. 2011. Efficient indexation: An alternative to cap-weighted indices. Journal of Investment Management 9(4): 1-23.<br />
Amenc, N., F. Goltz, M. Mukai, P. Narasimhan and L. Tang. 2012. EDHEC-Risk Asian index survey 2011. EDHEC-Risk Institute. (see: http://docs.edhec-risk.<strong>com</strong>/ERI-Days<br />
Asia-2012/documents/EDHEC-Risk_Asian_Index_Survey_2011.pdf).<br />
Amenc, N., F. Goltz, L. Tang and V. Vaidyanathan. 2012. EDHEC-Risk North American index survey 2011. EDHEC-Risk Institute (see: http://docs.edhec-risk.<strong>com</strong>/<br />
mrk/000000/Press/EDHEC-Risk_North_American_Index_Survey.pdf).<br />
Amenc, N., F. Goltz and L. Tang. 2011. EDHEC-Risk European index survey 2011. EDHEC-Risk Institute (see: http://docs.edhec-risk.<strong>com</strong>/mrk/000000/Press/EDHEC<br />
Risk_European_Index_Survey.pdf).<br />
Arnott, R.D. and J.C. Hsu. 2008. Noise, CAPM and the size and value effects. Journal of Investment Management 6(1): 1-11.<br />
Arnott, R., J. Hsu and J. West. 2008. The fundamental index: A better way to invest. New Jersey: John Wiley & Sons, Inc.<br />
Bernstein, P. 2003. Points of inflection: Investment management tomorrow. Financial Analysts Journal 59(4): 18-23.<br />
Bogle, J. 2002. An index fund fundamentalist. Journal of Portfolio Management 28(3): 31-38.<br />
Ferreira, A. 2006. The importance of industry and country effects in the EMU equity markets. European Financial Management 12(3): 341-373.<br />
Fuller, R.J., B. Han and Y. Tung. 2010. Thinking about indices and “passive” versus active management. Journal of Portfolio Management 36(4): 35-47.<br />
Goltz, F. and C.H. Campani. 2011. Review of corporate bond indices: Construction principles, return heterogeneity, and fluctuations in risk exposures.<br />
EDHEC-Risk Institute publication, June.<br />
Goltz, F. and V. Le Sourd. 2010. Does finance theory make the case for capitalization-weighted indexing? EDHEC-Risk Institute.<br />
Graham, J. 2012. Comment on the theoretical and empirical evidence of fundamental indexing. Journal of Investment Management, First Quarter.<br />
Grinold, R. 1992. Are benchmark portfolios efficient? Journal of Portfolio Management 19(1): 34-40.<br />
Hamelink, F., H. Harasty and P. Hillion. 2001. Country, sector or style: What matters most when constructing global equity portfolios? Working paper. FAME.<br />
Haugen, R. and N. Baker. 1991. The efficient market inefficiency of capitalization-weighted stock portfolios. Journal of Portfolio Management 17(3): 35-40.<br />
Hsu, J. 2006. Cap-weighted portfolios are sub-optimal portfolios. Journal of Investment Management 4(3): 1-10.<br />
Kamp, R. 2008. Debunking 130/30 benchmarks. Invesco.<br />
Malevergne, Y., P. Santa-Clara and D. Sornette. 2009. Professor ZIPF goes to wall street. Working paper. National Bureau of Economic Research.<br />
continued on page 63<br />
March / April 2013<br />
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