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An Investigation of Mutual Funds with Discontinued Coverage in the New CRSP Mutual Fund Database Vintage
July 2008
WRDS has conducted a series of analyses aimed at investigating the discontinued coverage in
the new CRSP Mutual Fund Database. Below we present the summarized findings regarding the
characteristics of the mutual funds whose coverage was discontinued in the data vintage
corresponding to the March 2008. The tests also explore whether the exclusion of these funds
introduces performance biases. The main conclusion of the analysis is that different
characteristics of the discontinued funds do not translate into differential performance.
The analysis consists of the following parts:
1) A comparison of the characteristics of the discontinued funds and remaining funds.
2) Regression performance comparisons
3) Conclusion
Section 1. A comparison of the characteristics of the discontinued and remaining funds
WRDS found 4,298 funds that were discontinued out of the 35,756 funds that were in
the database before the change. The first check examines whether there is a disproportionately
larger number of dead funds among the discontinued funds when compared to the remaining
funds.
o Table 1 shows that there is a larger number of dead funds among the
discontinued funds: about 42% of the discontinued funds and 34% of the
remaining funds were categorized as dead funds. This discrepancy is
troublesome in that it might imply the presence of a slight survivorship bias in
the remaining funds, however further tests are needed to determine whether
such a bias affects mutual fund performance.
o The frequencies for the discontinued and remaining funds are presented in
Table 2 where we basically notice that there are no real differences in the
investment objectives of the two groups of funds.
2
o The subjects of comparison in Table 3 are portfolio turnover, expense ratios,
maximum front‐end loads, maximum 12b‐1 fees, management fees and
maximum deferred & rear load charges. The discontinued funds seem to have
lower portfolio turnover, slightly lower expense ratios, maximum front loads
and management fees.
o In Table 4 the comparison focuses on fund assets, the last reported fund assets,
and the age of the fund. The discontinued funds are smaller than remaining
funds by an economically significant amount. A comparison based on “av_asset”
which is the average asset of a fund based on all monthly assets that the fund
reported shows that the median of discontinued funds was close to three times
lower than that of remaining funds. A similar picture appears when we compare
the mean of the assets (131 million for discontinued funds vs. 197 million for
remaining funds). When we compare the fund’s last reported assets we see a
similar pattern, as discontinued funds appear to be half the size of the
remaining funds. The results of Table 4 further show an age differential
between the two groups of funds, with the discontinued funds being relatively
younger by a factor of two.
Section 2. Regression Performance Comparisons
So far we have seen that the discontinued funds comprised a disproportionately larger
number of dead funds and appeared to be smaller and younger (or had a shorter life). These
characteristics, especially the first one, raise a concern that a survivorship bias or perhaps some
other kind of bias might have been introduced due to the discontinuation of this particular set of
funds. To asses whether any such bias affects returns, we will use several standard mutual fund
performance measures to compare the performance of the discontinued and remaining funds.
If any of the biases mentioned above do not affect returns, then we should not expect to see a
difference in the performance of these two groups of funds. To make these comparisons, we
split the funds into equity funds and corporate bonds funds. This is done because generally
different measures of performance are used when evaluating the performance of equity and
corporate bond funds.
2.1 Performance comparison for equity funds
3
The first crude performance measure that we use is the Sharpe Ratio which is calculated
for each fund as the mean of excess returns (fund return‐risk free return) divided by the
standard deviation of excess returns. Discontinued funds appear to have a larger Sharpe Ratio
than remaining funds, but the difference does not appear to be statistically significant (as shown
in the T‐test results reported in the output of “Test2” but not in this document). Furthermore,
the Sharpe Ratio does not fully account for the many of the documented common risk factors
that drive returns. In this regard, we use a different approach for measuring mutual fund
performance.
As in Wermers (2000)1, first we identify all equity funds, then each period we take a
value‐weighted average of the returns of the funds in each of the two sets (discontinued and
remaining), with portfolio weights set equal to the fund assets at the beginning of the month.
This approach creates a time series of monthly returns for each group of funds and ensures that
no‐survivorship biases are introduced from the portfolio formation method, as no restrictions
are placed that require a particular mutual fund to be present in the database for a given length
of time. Next, the performance is evaluated as the intercept (alpha or risk‐adjusted return) of a
four‐factor Fama‐French regression model of the following form:
( ) εββββα +++++=− tiUMDtHMLtSMBtMKTF
tt UMDHMLSMBRMRFrR (1)
where tiR , is the reported return for fund i in month t and Ftr is the risk‐free rate in month t.
The common factor variables tRMRF , tSMB , tHML , and tUMD are the month‐t return
differentials between the market portfolio and risk‐free rate, small cap and large cap stocks,
high and low book‐to‐market stocks, and positive and negative return‐momentum stocks,
respectively.
Regression results for (1) are reported in Table 7. Panels A and B report results for the
remaining funds and discontinued funds, respectively, and Panel C reports results from the
regression (1) run on the difference of the returns for the two groups. The alphas (intercepts
from the regressions) for the discontinued and remaining funds are not different from each
other in a significant way. The alpha for remaining funds is ‐0.00047594 and ‐0.00052838 for
the discontinued funds and the difference between the two is not significant not only in an
1 Wermers, R., 2000, Mutual fund performance: An empirical decomposition into stock-picking talent, style, transaction costs, and expenses, Journal of Finance 55, 1655 - 1703.
4
economic sense but also in a statistical sense, as shown in Panel C. Interestingly, the loading on
the size, book‐to‐market, and momentum factors appear to be different between the two
groups suggesting that the underlying portfolios of these two sets of funds differ. To be more
specific, the differences in the factor loadings suggest that the discontinued fund portfolios
included stocks of relatively smaller size, lower book‐to‐market ratios and higher past returns.
2.2 Performance comparison for bond funds
Remaining funds appear to have a larger Sharpe Ratio than discontinued funds, but the
difference does not appear to be statistically significant. Given that the Sharpe Ratio does not
fully account for the many of the documented common risk factors that drive bond returns, in
what follows we use an alternative and more robust way for measuring the performance of
bond mutual funds that will account for many of the risk factors shown to explain the cross‐
section of bond returns.
After identifying all bond funds, then each period we take a value‐weighted average of
the returns of the funds in each of the two sets (discontinued and remaining), with portfolio
weights set equal to the fund assets at beginning of the month. This creates a time series of
monthly returns for each group of funds the performance of which is evaluated using a variation
of the bond factor models employed by Fama and French (1993) and Gebhardt, Hvidkjaer, and
Swaminathan (2005)2 :
( ) εβββα ++++=− tDEFtTERMtMKTF
tt DEFTERMRMRFrR (2)
The second regressor, TERM, which captures a common return factor related to bond maturity
(maturity or term risk), is defined as the difference in the monthly long‐term government index
bond returns (from Lehman) and one month T‐bill returns (from the Center for Research in
Security Prices, CRSP). The third regressor, DEF, which is a proxy for default risk is defined as the
difference between the monthly return on a value‐weighted market index portfolio of all
2 Fama, E., French, K.R., 1993. Common risk factors in the returns of stocks and bonds. Journal of Financial Economics 33, 3–56. Gebhardt, W.R., S. Hvidkjaer, and B. Swaminathan, 2005, The cross-section of expected corporate bond returns: betas or characteristics?, Journal of Financial Economics 75, 85–114.
5
investment‐grade corporate bonds (from Lehman) with at least ten years to maturity and the
monthly long‐term government bond return.
The alphas (intercepts from the regressions) for the discontinued and remaining funds,
although negative, are not significantly different from zero and from each other. The alpha for
remaining funds is ‐0.00029797 and ‐0.00046235 and the respective t‐statistics are both below
the 10% significance level cut‐off point. The same can be said for the alpha from the regression
that uses the difference of the returns in Panel C. The alpha from that regression is 0.00016438
with a t‐stat of 1.49.
2.3. An alternative method for performance comparisons.
There is an alternative method for conducting the performance comparisons detailed
above. Rather than constructing an aggregate mutual fund portfolio for each group each month
and measuring the alpha of this aggregate portfolio, one could first compute an alpha for each
fund, average the fund alphas within each group, and then make comparisons between our two
groups of funds. Note that unlike the methods used in Sections 2.1 and 2.2 this method might
introduce some kind of survivorship bias because it excludes funds that did not survive beyond
two years, and presumably such funds did not survive due to poor performance.
Comparisons for Equity funds are reported in Table 10. Here we see that the
discontinued funds appear to underperform the remaining funds, with an alpha
underperformance of about 3 basis points per month. Furthermore the difference in the alphas
appears to be statistically significant at the 5% significance level (t‐stat=2.32). However it is
important to note that a 3 basis point per month (36 basis points per year) is not of an economic
significance. One reason for why these results differ from those of section 3.1 could be due to
the fact the returns here are equal weighted and smaller funds which appear to be
overrepresented among the discontinued funds are more likely to underperform. When the
same comparison is conducted for bond funds in Table 11 we see no significant difference in the
alphas of the two groups, as the difference in alphas is only 1 basis point with a t‐stat of 1.26.
Section 3. Conclusion
This document presented findings from a comparison of the funds whose coverage was
recently discontinued in the new version of the CRSP mutual fund data with funds that remained
6
in the database. These comparisons were made because of a concern that the exclusion of
these 4,298 funds would lead to biases in the performance evaluation of mutual funds. The
findings from this analysis suggest that the excluded funds display characteristics that are
different from the remaining funds. For example, the discontinued funds seem to have lower
portfolio turnover, slightly lower expense ratios, maximum front loads, and management fees.
More importantly, they appear to be smaller and appear to be in the database for relatively
shorter periods.
The different characteristics that the discontinued funds display do not necessarily
translate into differential performance. Several performance measurement methodologies
were used. The regression‐based methods that make use of reported fund returns did not
display any significant differences in the performance of the two groups. When looking at
holdings and trade‐based methods the evidence is mixed and again does not uniformly point to
significant and consistent differences in the performance of the two groups.
7
Table 1
Frequency of dead funds
The FREQ Procedure
Table of status by dead_flag status dead_flag(Dead Fund Indicator) Frequency| Row Pct |N |Y | Total ---------+--------+--------+ cont | 20346 | 10600 | 30946 | 65.75 | 34.25 | ---------+--------+--------+ discont | 1999 | 1444 | 3443 | 58.06 | 41.94 | ---------+--------+--------+ Total 22345 12044 34389
8
Table 2 Frequency of discontinued funds by investment objective
The FREQ Procedure Table of status by sp_obj_cd status sp_obj_cd(Standard & Poor's Detailed Objective Code) Frequency| Row Pct |AGG |BAL |BGA |BGE |BGG |BGN |BGS |CGN | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ discont | 24 | 84 | 1 | 3 | 8 | 22 | 15 | 21 | | 0.62 | 2.18 | 0.03 | 0.08 | 0.21 | 0.57 | 0.39 | 0.54 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 24 84 1 3 8 22 15 21 Frequency| Row Pct |CHQ |CHY |CIM |CMQ |CPF |CPR |CSI |CSM | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ discont | 17 | 20 | 28 | 19 | 1 | 2 | 8 | 23 | | 0.44 | 0.52 | 0.73 | 0.49 | 0.03 | 0.05 | 0.21 | 0.60 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 17 20 28 19 1 2 8 23 Frequency| Row Pct |CVR |ECH |ECN |EGG |EGT |EGX |EID |EIG | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ discont | 5 | 2 | 4 | 19 | 8 | 13 | 27 | 49 | | 0.13 | 0.05 | 0.10 | 0.49 | 0.21 | 0.34 | 0.70 | 1.27 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 5 2 4 19 8 13 27 49 Frequency| Row Pct |EIS |EIT |ELT |ENV |EPC |EPX |ERP |ESC | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ discont | 1 | 11 | 3 | 1 | 3 | 8 | 9 | 6 | | 0.03 | 0.29 | 0.08 | 0.03 | 0.08 | 0.21 | 0.23 | 0.16 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 1 11 3 1 3 8 9 6 Frequency| Row Pct |FIN |FLG |FLX |GGN |GIM |GLD |GMA |GMB | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ discont | 4 | 7 | 18 | 27 | 15 | 6 | 4 | 14 | | 0.10 | 0.18 | 0.47 | 0.70 | 0.39 | 0.16 | 0.10 | 0.36 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 4 7 18 27 15 6 4 14
9
Frequency| Row Pct |GMC |GRI |GRO |GSM |HLT |IAZ |ICA |ICT | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ discont | 28 | 96 | 157 | 16 | 4 | 1 | 7 | 2 | | 0.73 | 2.49 | 4.07 | 0.42 | 0.10 | 0.03 | 0.18 | 0.05 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 28 96 157 16 4 1 7 2 Frequency| Row Pct |IFL |IMA |IMI |IMX |ING |INY |LKY |MAR | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ discont | 3 | 3 | 2 | 41 | 10 | 6 | 3 | 1 | | 0.08 | 0.08 | 0.05 | 1.06 | 0.26 | 0.16 | 0.08 | 0.03 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 3 3 2 41 10 6 3 1 Frequency| Row Pct |MAZ |MCA |MFL |MGN |MHI |MID |MIM |MIN | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ discont | 1 | 8 | 3 | 15 | 1 | 1 | 16 | 1 | | 0.03 | 0.21 | 0.08 | 0.39 | 0.03 | 0.03 | 0.42 | 0.03 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 1 8 3 15 1 1 16 1 Frequency| Row Pct |MIS |MKY |MMA |MMD |MMI |MMO |MNJ |MNY | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ discont | 3 | 1 | 3 | 3 | 8 | 3 | 4 | 4 | | 0.08 | 0.03 | 0.08 | 0.08 | 0.21 | 0.08 | 0.10 | 0.10 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 3 1 3 3 8 3 4 4 Frequency| Row Pct |MOH |MOR |MPA |MSM |MTX |MUT |MVA |MWA | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ discont | 3 | 1 | 7 | 5 | 3 | 2 | 1 | 4 | | 0.08 | 0.03 | 0.18 | 0.13 | 0.08 | 0.05 | 0.03 | 0.10 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 3 1 7 5 3 2 1 4 Frequency| Row Pct |NTR |RLE |SBA |SBE |SBP |SBT |SBY |SCG | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ discont | 8 | 7 | 11 | 1 | 14 | 18 | 26 | 82 | | 0.21 | 0.18 | 0.29 | 0.03 | 0.36 | 0.47 | 0.67 | 2.13 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 8 7 11 1 14 18 26 82
10
Frequency| Row Pct |SIA |SIE |SIP |SIT |SIY |SPE |SPR |SPY | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ discont | 11 | 6 | 8 | 10 | 15 | 2 | 10 | 14 | | 0.29 | 0.16 | 0.21 | 0.26 | 0.39 | 0.05 | 0.26 | 0.36 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 11 6 8 10 15 2 10 14 Frequency| Row Pct |SUA |SUT |TBG |TCA |TCT |TEC |TFG |TFI | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ discont | 14 | 4 | 18 | 9 | 1 | 14 | 10 | 5 | | 0.36 | 0.10 | 0.47 | 0.23 | 0.03 | 0.36 | 0.26 | 0.13 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 14 4 18 9 1 14 10 5 Frequency| Row Pct |TFL |TMA |TMI |TMN |TNC |TNJ |TNY |TPA | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ discont | 2 | 3 | 1 | 2 | 1 | 2 | 6 | 1 | | 0.05 | 0.08 | 0.03 | 0.05 | 0.03 | 0.05 | 0.16 | 0.03 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 2 3 1 2 1 2 6 1 Frequency| Row Pct |TTN |TTX |TVA |UTI |mis | Total ---------+--------+--------+--------+--------+--------+ discont | 2 | 1 | 1 | 4 | 2469 | 3854 | 0.05 | 0.03 | 0.03 | 0.10 | 64.06 | ---------+--------+--------+--------+--------+--------+ Total 2 1 1 4 2469 3854
11
Table 2b Frequency of remaining funds by investment objective
The FREQ Procedure Table of status by sp_obj_cd status sp_obj_cd(Standard & Poor's Detailed Objective Code) Frequency| Row Pct |AGG |BAL |BGA |BGC |BGE |BGG |BGN |BGS | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ cont | 248 | 438 | 5 | 2 | 27 | 22 | 119 | 41 | | 0.80 | 1.42 | 0.02 | 0.01 | 0.09 | 0.07 | 0.38 | 0.13 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 248 438 5 2 27 22 119 41 Frequency| Row Pct |CGN |CHQ |CHY |CIM |CMQ |CPF |CSI |CSM | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ cont | 151 | 120 | 215 | 188 | 94 | 13 | 55 | 186 | | 0.49 | 0.39 | 0.69 | 0.61 | 0.30 | 0.04 | 0.18 | 0.60 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 151 120 215 188 94 13 55 186 Frequency| Row Pct |CVR |ECH |ECN |EGG |EGS |EGT |EGX |EID | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ cont | 52 | 4 | 1 | 171 | 36 | 53 | 118 | 160 | | 0.17 | 0.01 | 0.00 | 0.55 | 0.12 | 0.17 | 0.38 | 0.52 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 52 4 1 171 36 53 118 160 Frequency| Row Pct |EIG |EIS |EIT |EJP |ELT |ENV |EPC |EPR | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ cont | 343 | 64 | 94 | 40 | 44 | 7 | 61 | 5 | | 1.11 | 0.21 | 0.30 | 0.13 | 0.14 | 0.02 | 0.20 | 0.02 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 343 64 94 40 44 7 61 5 Frequency| Row Pct |EPX |ERP |ESC |FIN |FLG |FLX |GBS |GGN | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ cont | 65 | 133 | 19 | 25 | 65 | 113 | 8 | 217 | | 0.21 | 0.43 | 0.06 | 0.08 | 0.21 | 0.37 | 0.03 | 0.70 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 65 133 19 25 65 113 8 217
12
Frequency| Row Pct |GIM |GLD |GLE |GMA |GMB |GMC |GRI |GRO | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ cont | 121 | 34 | 2 | 62 | 102 | 370 | 746 | 1367 | | 0.39 | 0.11 | 0.01 | 0.20 | 0.33 | 1.20 | 2.41 | 4.42 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 121 34 2 62 102 370 746 1367 Frequency| Row Pct |GSM |HLT |IAZ |ICA |ICT |IFL |IKS |IMA | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ cont | 109 | 57 | 10 | 23 | 3 | 19 | 4 | 8 | | 0.35 | 0.18 | 0.03 | 0.07 | 0.01 | 0.06 | 0.01 | 0.03 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 109 57 10 23 3 19 4 8 Frequency| Row Pct |IMD |IMI |IMN |IMX |INC |ING |INJ |INM | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ cont | 4 | 7 | 1 | 139 | 5 | 164 | 9 | 2 | | 0.01 | 0.02 | 0.00 | 0.45 | 0.02 | 0.53 | 0.03 | 0.01 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 4 7 1 139 5 164 9 2 Frequency| Row Pct |INY |IOH |IPA |ISD |ITN |IVA |IVT |LCA | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ cont | 17 | 6 | 14 | 2 | 7 | 3 | 1 | 6 | | 0.05 | 0.02 | 0.05 | 0.01 | 0.02 | 0.01 | 0.00 | 0.02 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 17 6 14 2 7 3 1 6 Frequency| Row Pct |LFL |LMA |LMI |LNY |LVA |MAL |MAR |MAZ | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ cont | 3 | 1 | 6 | 1 | 1 | 3 | 4 | 22 | | 0.01 | 0.00 | 0.02 | 0.00 | 0.00 | 0.01 | 0.01 | 0.07 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 3 1 6 1 1 3 4 22 Frequency| Row Pct |MCA |MCO |MCT |MDE |MFL |MGA |MGN |MHI | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ cont | 75 | 8 | 12 | 1 | 46 | 16 | 202 | 5 | | 0.24 | 0.03 | 0.04 | 0.00 | 0.15 | 0.05 | 0.65 | 0.02 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 75 8 12 1 46 16 202 5
13
Frequency| Row Pct |MHY |MIA |MID |MIM |MIS |MKS |MLA |MMA | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ cont | 24 | 3 | 3 | 107 | 29 | 3 | 4 | 16 | | 0.08 | 0.01 | 0.01 | 0.35 | 0.09 | 0.01 | 0.01 | 0.05 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 24 3 3 107 29 3 4 16 Frequency| Row Pct |MMD |MMI |MMN |MMO |MMT |MNC |MND |MNE | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ cont | 17 | 17 | 24 | 5 | 3 | 16 | 3 | 1 | | 0.05 | 0.05 | 0.08 | 0.02 | 0.01 | 0.05 | 0.01 | 0.00 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 17 17 24 5 3 16 3 1 Frequency| Row Pct |MNJ |MNM |MNY |MOH |MOR |MPA |MRI |MSC | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ cont | 23 | 7 | 59 | 28 | 14 | 25 | 1 | 10 | | 0.07 | 0.02 | 0.19 | 0.09 | 0.05 | 0.08 | 0.00 | 0.03 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 23 7 59 28 14 25 1 10 Frequency| Row Pct |MSM |MTN |MTX |MVA |MVT |MWA |MWI |NTR | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ cont | 31 | 14 | 26 | 17 | 1 | 8 | 4 | 20 | | 0.10 | 0.05 | 0.08 | 0.05 | 0.00 | 0.03 | 0.01 | 0.06 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 31 14 26 17 1 8 4 20 Frequency| Row Pct |OPI |PAC |RLE |SBA |SBE |SBP |SBT |SBY | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ cont | 1 | 2 | 77 | 63 | 8 | 43 | 61 | 57 | | 0.00 | 0.01 | 0.25 | 0.20 | 0.03 | 0.14 | 0.20 | 0.18 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 1 2 77 63 8 43 61 57 Frequency| Row Pct |SCG |SCU |SEC |SIA |SIE |SIP |SIT |SIY | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ cont | 623 | 8 | 14 | 57 | 5 | 38 | 51 | 65 | | 2.01 | 0.03 | 0.05 | 0.18 | 0.02 | 0.12 | 0.16 | 0.21 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 623 8 14 57 5 38 51 65
14
Frequency| Row Pct |SPE |SPR |SPY |SUA |SUT |TAZ |TBG |TCA | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ cont | 11 | 65 | 123 | 49 | 36 | 1 | 55 | 29 | | 0.04 | 0.21 | 0.40 | 0.16 | 0.12 | 0.00 | 0.18 | 0.09 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 11 65 123 49 36 1 55 29 Frequency| Row Pct |TCT |TEC |TFG |TFI |TFL |TMA |TMD |TMI | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ cont | 7 | 185 | 57 | 38 | 6 | 6 | 1 | 5 | | 0.02 | 0.60 | 0.18 | 0.12 | 0.02 | 0.02 | 0.00 | 0.02 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 7 185 57 38 6 6 1 5 Frequency| Row Pct |TNC |TNJ |TNY |TOH |TPA |TVA |UTI |mis | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ cont | 5 | 6 | 24 | 3 | 4 | 2 | 52 | 20789 | | 0.02 | 0.02 | 0.08 | 0.01 | 0.01 | 0.01 | 0.17 | 67.18 | ---------+--------+--------+--------+--------+--------+--------+--------+--------+ Total 5 6 24 3 4 2 52 20789
Total
15
Table 3 Comparison of general fund characteristics
status N Obs Variable Label Mean Median ------------------------------------------------------------------------------------------------ cont 30947 turn_ratio Fund Turnover Ratio 0.9274888 0.5897000 exp_ratio Expense Ratio as of Fiscal Year-End 0.0130424 0.0124000 front_load Maximum Front-End Load 0.0224911 0 max_12b1 Maximum 12b-1 Fee 0.1653416 0.0100000 mgmt_fee Management Fee 0.5983453 0.6000000 rear_load Max Defer & Rear Load Charges 0.0156592 0.0100000 discont 3854 turn_ratio Fund Turnover Ratio 0.7658240 0.3700000 exp_ratio Expense Ratio as of Fiscal Year-End 0.0115923 0.0104000 front_load Maximum Front-End Load 0.0167022 0 max_12b1 Maximum 12b-1 Fee 0.4233420 0.0100000 mgmt_fee Management Fee 0.5501575 0.5300000 rear_load Max Defer & Rear Load Charges 0.0143473 0.0100000 ------------------------------------------------------------------------------------------------
16
Table 4 Comparison of fund assets and age
status N Obs Variable Mean Median -------------------------------------------------------------- cont 31253 av_asset 197.0546307 19.0940741 last_asset 350.8616282 18.8450000 age 7.1434716 5.6666667 discont 3716 av_asset 130.8638605 7.0648459 last_asset 165.8385363 8.0225000 age 4.1088312 3.1666667
--------------------------------------------------------------
17
Table 6
Sharpe ratio comparisons for equity funds
The MEANS Procedure Analysis Variable : sharpe_ratio status N Obs N Mean t Value Median -------------------------------------------------------------------- cont 12291 12281 0.1660414 81.07 0.1381333 discont 1421 1415 0.3075540 3.43 0.2012961 --------------------------------------------------------------------
18
Table 7 Performance comparison for equity funds
Panel A: Remaining funds The REG Procedure Model: MODEL1 Dependent Variable: ex_ret Number of Observations Read 426 Number of Observations Used 426 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 4 0.73718 0.18429 5662.10 <.0001 Error 421 0.01370 0.00003255 Corrected Total 425 0.75088 Root MSE 0.00571 R-Square 0.9818 Dependent Mean 0.00476 Adj R-Sq 0.9816 Coeff Var 119.76037 Parameter Estimates Parameter Standard Variable Label DF Estimate Error t Value Pr > |t| Intercept Intercept 1 -0.00047594 0.00029568 -1.61 0.1082 mktrf Excess Return on the Market 1 0.92006 0.00704 130.74 <.0001 smb Small-Minus-Big Return 1 0.01879 0.00886 2.12 0.0345 hml High-Minus-Low Return 1 -0.00719 0.01046 -0.69 0.4919 umd Momentum Factor 1 0.00664 0.00666 1.00 0.3195
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Panel B. Discontinued Funds The REG Procedure Model: MODEL1 Dependent Variable: ex_ret Number of Observations Read 426 Number of Observations Used 426 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 4 0.80875 0.20219 1514.52 <.0001 Error 421 0.05620 0.00013350 Corrected Total 425 0.86495 Root MSE 0.01155 R-Square 0.9350 Dependent Mean 0.00476 Adj R-Sq 0.9344 Coeff Var 242.52440 Parameter Estimates Parameter Standard Variable Label DF Estimate Error t Value Pr > |t| Intercept Intercept 1 -0.00052838 0.00059882 -0.88 0.3781 mktrf Excess Return on the Market 1 0.92640 0.01425 65.00 <.0001 smb Small-Minus-Big Return 1 0.05530 0.01793 3.08 0.0022 hml High-Minus-Low Return 1 -0.10183 0.02118 -4.81 <.0001 umd Momentum Factor 1 0.06155 0.01350 4.56 <.0001
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Panle C. Performance of difference The REG Procedure Model: MODEL1 Dependent Variable: dif Number of Observations Read 426 Number of Observations Used 426 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 4 0.00824 0.00206 15.79 <.0001 Error 421 0.05492 0.00013044 Corrected Total 425 0.06315 Root MSE 0.01142 R-Square 0.1304 Dependent Mean -3.23034E-7 Adj R-Sq 0.1222 Coeff Var -3535604 Parameter Estimates Parameter Standard Variable Label DF Estimate Error t Value Pr > |t| Intercept Intercept 1 0.00005244 0.00059193 0.09 0.9294 mktrf Excess Return on the Market 1 -0.00634 0.01409 -0.45 0.6529 smb Small-Minus-Big Return 1 -0.03652 0.01773 -2.06 0.0400 hml High-Minus-Low Return 1 0.09464 0.02094 4.52 <.0001 umd Momentum Factor 1 -0.05491 0.01334 -4.12 <.0001
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Table 8 Sharpe ratio comparisons for bond funds
The MEANS Procedure Analysis Variable : sharpe_ratio N status Obs Mean t Value Median ---------------------------------------------------------- cont 2843 0.0772698 20.35 0.1119083 discont 295 0.0405570 1.77 0.0695829 ----------------------------------------------------------
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Table 8 Performance comparison for bond funds
Panel A: Remaining funds The REG Procedure Model: MODEL1 Dependent Variable: exret Number of Observations Read 547 Number of Observations Used 162 Number of Observations with Missing Values 385 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 3 0.01216 0.00405 270.11 <.0001 Error 158 0.00237 0.00001500 Corrected Total 161 0.01453 Root MSE 0.00387 R-Square 0.8368 Dependent Mean 0.00102 Adj R-Sq 0.8337 Coeff Var 378.94488 Parameter Estimates Parameter Standard Variable Label DF Estimate Error t Value Pr > |t| Intercept Intercept 1 -0.00029797 0.00031046 -0.96 0.3386 mktrf mktrf 1 0.04900 0.00859 5.70 <.0001 term 1 0.36222 0.01412 25.65 <.0001 def 1 0.43991 0.03648 12.06 <.0001
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Panel B: Discontinued funds The REG Procedure Model: MODEL1 Dependent Variable: exret Number of Observations Read 547 Number of Observations Used 162 Number of Observations with Missing Values 385 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 3 0.01177 0.00392 278.64 <.0001 Error 158 0.00223 0.00001409 Corrected Total 161 0.01400 Root MSE 0.00375 R-Square 0.8410 Dependent Mean 0.00082947 Adj R-Sq 0.8380 Coeff Var 452.47733 Parameter Estimates Parameter Standard Variable Label DF Estimate Error t Value Pr > |t| Intercept Intercept 1 -0.00046235 0.00030083 -1.54 0.1263 mktrf mktrf 1 0.04261 0.00832 5.12 <.0001 term 1 0.36749 0.01368 26.86 <.0001 def 1 0.36549 0.03535 10.34 <.0001
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Panel C: Performance of difference The REG Procedure Model: MODEL1 Dependent Variable: dif Number of Observations Read 547 Number of Observations Used 162 Number of Observations with Missing Values 385 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 3 0.00017293 0.00005764 30.50 <.0001 Error 158 0.00029860 0.00000189 Corrected Total 161 0.00047153 Root MSE 0.00137 R-Square 0.3667 Dependent Mean 0.00019266 Adj R-Sq 0.3547 Coeff Var 713.56062 Parameter Estimates Parameter Standard Variable Label DF Estimate Error t Value Pr > |t| Intercept Intercept 1 0.00016438 0.00011019 1.49 0.1377 mktrf mktrf 1 0.00639 0.00305 2.09 0.0378 term 1 -0.00527 0.00501 -1.05 0.2949 def 1 0.07442 0.01295 5.75 <.0001
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Table 10 Performance comparison for equity funds based on individual fund alphas
The MEANS Procedure status N Obs Variable Mean t Value ------------------------------------------------------- cont 10187 alpha -0.0012832 -43.70 mktrf 0.9425142 351.96 smb 0.1508536 46.20 hml 0.0432153 12.94 umd 0.0228317 16.45 discont 1037 alpha -0.0015333 -14.79 mktrf 0.8824369 103.78 smb 0.1115435 12.10 hml 0.0218959 2.60 umd 0.0205156 4.98 -------------------------------------------------------
The TTEST Procedure Statistics Lower CL Upper CL Lower CL Upper CL Variable status N Mean Mean Mean Std Dev Std Dev Std Dev Std Err alpha cont 10187 -0.001 -0.001 -0.001 0.0029 0.003 0.003 294E-7 alpha discont 1037 -0.002 -0.002 -0.001 0.0032 0.0033 0.0035 0.0001 alpha Diff (1-2) 584E-7 0.0003 0.0004 0.003 0.003 0.003 0.0001 T-Tests Variable Method Variances DF t Value Pr > |t| alpha Pooled Equal 11E3 2.56 0.0106 alpha Satterthwaite Unequal 1208 2.32 0.0204 Equality of Variances Variable Method Num DF Den DF F Value Pr > F alpha Folded F 1036 10186 1.27 <.0001
Table 11 Performance comparison for bond funds based on individual fund alphas
The MEANS Procedure status N Obs Variable Mean t Value ------------------------------------------------------ cont 2484 alpha -0.000218240 -6.51 mktrf 0.0405126 28.00 term 0.3396417 110.99 def 0.4347803 48.10 _RSQ_ 0.7228160 189.87 discont 230 alpha -0.000339705 -3.75 mktrf 0.0425819 9.44 term 0.3235587 29.21 def 0.3223723 11.33 _RSQ_ 0.7641308 55.16 ------------------------------------------------------
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The TTEST Procedure Statistics Lower CL Upper CL Lower CL Upper CL Variable status N Mean Mean Mean Std Dev Std Dev Std Dev Std Err alpha cont 2484 -28E-5 -22E-5 -15E-5 0.0016 0.0017 0.0017 335E-7 alpha discont 230 -52E-5 -34E-5 -16E-5 0.0013 0.0014 0.0015 0.0001 alpha Diff (1-2) -1E-4 0.0001 0.0003 0.0016 0.0016 0.0017 0.0001 T-Tests Variable Method Variances DF t Value Pr > |t| alpha Pooled Equal 2712 1.07 0.2848 alpha Satterthwaite Unequal 295 1.26 0.2099 Equality of Variances Variable Method Num DF Den DF F Value Pr > F alpha Folded F 2483 229 1.48 0.0002