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              MAY 2000




                                              Mutual Fund Performance
                                                 and Manager Style

                                                                JAMES L. DAVIS




              A NUMBER OF RECENT STUDIES have looked for evidence of persistence in mutual fund
              performance. These studies are trying to determine whether there are certain funds
              that consistently outperform (or underperform) other mutual funds.1 Although the
              evidence is mixed, the general conclusion from these articles is that a few fund
              managers do tend to regularly appear near the top of the annual return rankings.
              There is stronger evidence that some managers consistently appear near the bot-
              tom of the rankings. For investors, the main implication of these studies is the
              small likelihood of consistently earning abnormal returns by selecting individual
              fund managers.

              In contrast to earlier studies, this article looks at the relation between fund perfor-
              mance and manager style. Two specific issues are addressed. First, does any
              particular investment style reliably deliver abnormal performance? Second, when
              funds with similar styles are compared, is there any evidence of performance
              persistence? The styles investigated in this article are classified along two general
              dimensions: value versus growth and small-cap versus large-cap. The results in-
              dicate that none of the styles included in the study are able to generate positive
              abnormal returns, compared to the Fama-French (1993) benchmark. Value funds
              generate negative abnormal returns during the 1965-1998 sample period.

              There is some evidence of performance persistence during the sample period, but
              the abnormal performance tends to die out fairly quickly. The best performing
              growth managers tend to continue to perform well during the year after they are


                 This paper has benefited from the comments of David G. Booth, Truman A. Clark, Eugene F. Fama,
              Kenneth R. French, Rex A. Sinquefield, an anonymous referee, and participants at Dimensional Fund
              Advisors’ 1998 Investment Symposium.
               1
                 For example, see Carhart (1997), Elton, Gruber, Das, and Blake (1996), Goetzmann and Ibbotson
              (1994), Grinblatt and Titman (1992), Gruber (1996), and Hendricks, Patel and Zeckhauser (1993).
2                               Dimensional Fund Advisors


identified as good performers, and the worst performing small-cap managers con-
tinue to generate negative abnormal returns after they are identified as poor
performers. Overall, the results of this study cast doubt on the economic value of
active fund management.

Data and Methodology

Data Sources
The primary data source for this article is the mutual fund database maintained by
the Center for Research in Security Prices (CRSP) at the University of Chicago.
This database, which covers the period from 1962 through 1998, is essentially
free of the survivorship bias that plagues most studies of mutual fund perfor-
mance. Since data for funds that died during the sample period are included in the
database, the resulting fund performance statistics provide a clear picture of per-
formance for the various investment styles. See Carhart (1997) for a discussion of
the construction of this database.

In addition to the data from the CRSP mutual fund database, this study also uses the
monthly factor realizations from the Fama-French (1993) three-factor model. These
factor realizations are calculated using the Davis, Fama and French (2000) database.

Sample Selection
The tests in this study examine the performance of equity mutual funds. Two
criteria are used to select equity funds from the more general set of mutual funds
in the CRSP database. If a fund’s stated objective is growth, growth and income,
maximum capital gains, small capitalization growth, or aggressive growth, it is
classified as an equity fund and included in the sample. A fund is also included if
its objective is not listed, but its policy statement indicates that it invests primarily
in common stock.

The sample includes 4,686 funds, covering 26,564 fund-years from 1962 to 1998.
In other words, there are 26,564 instances where a fund is classified as an equity
fund and has at least one valid monthly return during the calendar year. The me-
dian of the equity weights for these 26,564 fund-years is 93%, so the sample
selection process does identify funds that are primarily equity portfolios.

Style Identification
The Fama-French three-factor model is used to infer a fund’s investment style. For
each fund, thirty-six monthly returns are used to estimate the following regression:

Rit – Rft = ai + bi (Rmt-Rft) + si SMBt + hi HMLt + eit ,

where Rit is the return (in percent) to fund i for month t, Rft is the T-Bill return for
month t, Rmt is the return to the CRSP value weighted index for month t, SMBt is
Mutual Fund Performance and Manager Style                                    3

the realization on the capitalization factor (small-cap return minus large-cap re-
turn) for month t, and HMLt is the realization on the value factor (value return
minus growth return) for month t. Small stocks tend to have a positive loading on
SMB (a positive slope, si) and big stocks tend to have a negative loading. Simi-
larly, a positive estimate of hi indicates sensitivity to the value factor, and a negative
estimate indicates a growth tilt. Thus, funds are identified as small-cap or large-
cap based on their estimated SMB slopes, si, and funds are sorted into value and
growth based on their HML slopes, hi. The intercept, sometimes referred to as
Alpha, is a measure of performance relative to the three-factor benchmark.

Portfolio Formation
Funds are placed in style portfolios at the beginning of each year from 1965-
1998. At the beginning of 1965, for example, returns for the previous 36 months
(1962-1964) are used to estimate pre-formation slopes on the HML and SMB
factors. Based on these pre-formation slopes, funds with similar styles are allo-
cated into portfolios, and then equally weighted portfolio returns are calculated
for each month of 1965. The portfolios are re-formed each year.

Univariate SMB and HML sorts are used to form decile portfolios, and bivariate
sorts are used to form portfolios based on the intersection of the HML and SMB
rankings. In these bivariate sorts, a 3x3 partitioning of the funds is created: Funds
are divided into thirds based on their SMB ranking (low, medium, and high SMB
sensitivity), and into thirds based on their HML ranking. This 3x3 partitioning
produces nine portfolios at the beginning of the year. For example, a fund that is
in the top third of the SMB ranking and the bottom third of the HML ranking is
placed in the high SMB, low HML (small growth) portfolio.2 The portfolios do not
change during the year, except for funds that cease to exist during the year. Re-
peating this process for each year yields a time series of 408 equally weighted
monthly returns (1965-1998) for each portfolio.

The tests for performance persistence use portfolios that are formed from bivari-
ate sorts on HML and Alpha, and on SMB and Alpha. In each case, a 3x3
partitioning of the funds is created, with each of the independent sorts divided
into thirds. Then portfolios are formed based on the intersections of these inde-
pendent rankings. For example, the low HML, low Alpha portfolio consists of
funds that are in the bottom third of the pre-formation HML ranking and the bot-
tom third of the pre-formation Alpha (intercept) ranking. This portfolio would
then consist of funds that had a growth emphasis during the pre-formation period
and performed relatively poorly, when compared to the three-factor benchmark.

  2
    The main advantage of using independent SMB and HML sorts (instead of conditional sorts) is the
simultaneous dispersion that is attained in both of the sorts. The disadvantage of this procedure is the fact
that the nine portfolios do not all contain the same number of funds. On average, the low HML, high SMB
portfolio is the largest, with an average of 77.6 funds. The medium HML, high SMB portfolio tends to be
the smallest, with an average of 45.3 funds.
4                                      Dimensional Fund Advisors


Tests for Abnormal Returns
In addition to being used on pre-formation returns to infer fund style, the
Fama-French three-factor model is also used on post-formation returns to iden-
tify abnormal performance. The time series of equally weighted returns for
each portfolio is used in the three-factor regression model, with the intercept
measuring abnormal performance. A positive intercept suggests superior per-
formance and a negative intercept suggests under-performance, relative to the
three-factor benchmark.

The three-factor model is chosen as the performance benchmark for two reasons.
First, Davis, Fama and French (2000) provide evidence that the three factors have
explanatory power for security returns because they are associated with risk. If
the factors do measure risk, then they should be compensated in the average
returns earned by fund managers. Second, regardless of one’s beliefs about what
HML and SMB measure, the premiums associated with these factors can be earned
by a passive strategy of buying a diversified portfolio of stocks with a desired
level of sensitivity to the factors. If active fund management has economic value,
active managers should be able to outperform such a passive strategy.

Results for Style-Based Portfolios

Portfolios Formed by Univariate Sorts
Table 1 reports three-factor regression results for funds sorted by pre-formation
HML slopes. Panel A shows average pre-formation slopes for each HML decile,
and Panel B shows regression results for equally weighted decile returns. In Panel
B, the high values for R2, coupled with the magnitudes of the t-statistics on the
regressors, indicate that the three-factor model captures much of the variation in
decile returns. Since the regression coefficients are measured with error, the spread
on the HML slopes between extreme deciles is much smaller in the post-forma-
tion regressions than in the pre-formation averages. However, post-formation HML
coefficients are still monotonic across deciles, suggesting that the sorting proce-
dure is able to identify the funds that tend to have a value or growth emphasis. It
should be noted that the post-formation HML coefficient for decile 10 is only
0.20. This indicates that even the funds in the top HML decile do not have much
of an exposure to the value factor. Funds appear to be reluctant to fill their portfo-
lios with value stocks.3

The intercepts in Table 1 indicate that growth funds tend to perform better than
value funds during the 1965-1998 sample period, relative to the three-factor bench-
mark. In both panels, the intercepts for the first five deciles are mostly positive,
while the intercepts for deciles 6-10 are nearly all negative. The only post-formation
intercept that is reliably different from zero is the estimate of –0.23 for decile 10.

 3
     Chan, Chen, and Lakonishok (1999) also report a tendency for mutual funds to favor growth stocks.
Mutual Fund Performance and Manager Style                                  5

This intercept indicates that the funds in HML decile 10 underperformed the three-
factor benchmark by about 2 3/4% per year, on average. So, Table 1 does provide
at least some evidence of abnormal performance, but it is negative performance
on the part of funds with the most value tilt.

                                                       Table 1

                   Three-Factor Results for Deciles of Mutual Funds
                              Formed from HML Sorts
                                                    1965-1998
                                           (t-statistics in parentheses)

                                   Panel A: Pre-formation averages by decile
                 HML
                Decile         Intercept              Rm-Rf             SMB               HML
                 1                  0.17               0.83             0.46              -0.81
                 2                  0.08               0.90             0.31              -0.43
                 3                  0.07               0.90             0.24              -0.29
                 4                  0.03               0.91             0.22              -0.18
                 5                  0.02               0.89             0.17              -0.09
                 6                 -0.01               0.89             0.14              -0.01
                 7                 -0.05               0.85             0.16               0.07
                 8                 -0.05               0.87             0.16               0.16
                 9                 -0.07               0.85             0.18               0.28
                 10                -0.30               0.91             0.28               0.75


                              Panel B: Post-formation regression coefficients
        HML
       Decile         Intercept             Rm-Rf              SMB               HML              R-Sq
         1                 0.13               1.03              0.45             -0.45            0.94
                          (1.76)            (56.59)           (17.43)          (-15.08)
         2                 0.04               0.98              0.29             -0.31            0.96
                          (0.80)            (71.18)           (14.61)          (-13.59)
         3                 0.04               0.95              0.23             -0.25            0.97
                          (0.86)            (91.22)           (15.71)          (-14.64)
         4                 0.03               0.94              0.23             -0.16            0.97
                          (0.76)            (95.99)           (16.11)          (-10.17)
         5                -0.05               0.92              0.17             -0.10            0.97
                         (-1.41)            (96.97)           (12.93)           (-6.73)
         6                -0.04               0.93              0.16             -0.05            0.98
                         (-1.03)           (109.39)           (13.43)           (-3.49)
         7                -0.03               0.87              0.17              0.02            0.97
                         (-0.89)            (90.30)           (12.55)            (1.54)
         8                 0.01               0.87              0.20              0.04            0.96
                          (0.35)            (84.34)           (13.60)            (2.59)
         9                -0.04               0.86              0.22              0.15            0.97
                         (-1.12)            (93.76)           (17.05)            (9.94)
         10               -0.23               0.83              0.40              0.20            0.86
                         (-2.75)            (40.20)           (13.52)            (5.95)
6                                          Dimensional Fund Advisors


Table 2 shows regression results for funds sorted by pre-formation SMB slopes. As
in Table 1, the explanatory variables are strongly related to decile returns, and the
R2 values are close to 1. Most of the post-formation intercepts are negative, and
none are reliably different from zero. There is no evidence of abnormal perfor-
mance for any of these portfolios. The three-factor model does a good job explaining
the returns to these deciles.
                                                       Table 2

                   Three-Factor Results for Deciles of Mutual Funds
                              Formed from SMB Sorts
                                                    1965-1998
                                           (t-statistics in parentheses)

                                   Panel A: Pre-formation averages by decile
                 SMB
                Decile         Intercept              Rm-Rf              SMB               HML
                 1                  0.05              1.00               -0.44              0.08
                 2                  0.02              0.88               -0.15             -0.02
                 3                  0.01              0.87               -0.05             -0.03
                 4                  0.01              0.87                0.03             -0.03
                 5                 -0.01              0.88                0.11             -0.03
                 6                 -0.01              0.88                0.20             -0.07
                 7                  0.02              0.90                0.32             -0.08
                 8                  0.01              0.89                0.47             -0.11
                 9                  0.00              0.86                0.66             -0.16
                 10                -0.21              0.78                1.14             -0.08


                             Panel B: Post-formation regression coefficients
        SMB
       Decile         Intercept             Rm-Rf               SMB               HML              R-Sq
         1                -0.12               0.91              -0.03              0.01            0.90
                         (-1.69)            (53.95)            (-1.15)            (0.09)
         2                -0.05               0.89               0.01             -0.03            0.97
                         (-1.52)           (100.47)             (0.10)           (-2.31)
         3                -0.03               0.89               0.05             -0.04            0.98
                         (-0.79)           (110.97)             (4.02)           (-3.03)
         4                -0.02               0.90               0.08             -0.04            0.97
                         (-0.67)           (103.19)             (6.77)           (-2.76)
         5                -0.02               0.91               0.12             -0.07            0.98
                         (-0.65)           (111.18)           (10.02)            (-5.16)
         6                 0.01               0.90               0.19             -0.08            0.97
                          (0.20)            (95.49)           (14.30)            (-5.33)
         7                -0.01               0.92               0.31             -0.12            0.97
                         (-0.25)            (86.34)           (20.31)            (-6.66)
         8                 0.01               0.92               0.44             -0.15            0.96
                          (0.15)            (73.56)           (24.74)            (-7.25)
         9                 0.02               0.96               0.56             -0.19            0.96
                          (0.35)            (67.91)           (27.61)            (-8.38)
         10               -0.06               0.97               0.76             -0.19            0.93
                         (-0.76)            (50.11)           (27.66)             (6.09)
Mutual Fund Performance and Manager Style                                                  7

Portfolios Formed by Independent HML and SMB Sorts
Regression results for portfolios formed by independent HML and SMB sorts are
shown in Table 3. The first row in each panel shows results for funds that have
low sensitivity to both the SMB and HML factors. This portfolio corresponds to a
large growth style. The bottom row shows results for funds that have high sensi-
tivity to both factors. The inferred style for these funds is small value. The other
rows show different combinations of sensitivities to these two factors.

                                                           Table 3

                     Three-Factor Results for Portfolios of Mutual Funds
                       Formed from Independent SMB and HML Sorts
                                                    1965-1998
                                           (t-statistics in parentheses)

                                         Panel A: Pre-formation averages
             SMB               HML
            Decile           Ranking         Intercept               Rm-Rf              SMB                HML
             low               low                 0.20              0.89               -0.18              -0.41
             low               med                 0.03              0.89               -0.16              -0.05
             low               high               -0.11              0.92               -0.22               0.36
             med               low                 0.12              0.92                0.17              -0.42
             med               med                -0.01              0.87                0.16              -0.05
             med               high               -0.10              0.85                0.16               0.28
             high              low                 0.03              0.85                0.73              -0.55
             high              med                -0.02              0.90                0.64              -0.06
             high              high               -0.20              0.82                0.75               0.43


                               Panel B: Post-formation regression coefficients
    SMB                HML
   Decile            Ranking          Intercept            Rm-Rf               SMB                HML              R-Sq
    low               low                0.01                0.94               0.03              -0.22            0.96
                                        (0.21)             (76.81)             (1.96)           (-10.89)
    low               med               -0.05                0.90              -0.02              -0.04            0.97
                                       (-1.59)            (107.93)            (-1.73)            (-2.96)
    low               high              -0.09                0.85               0.04               0.15            0.93
                                       (-1.86)             (68.29)             (2.48)             (7.50)
    med               low                0.08                0.96               0.20              -0.32            0.96
                                        (1.61)             (76.03)           (11.33)            (-15.29)
    med               med               -0.03                0.91               0.15              -0.08            0.98
                                       (-0.92)            (104.98)           (12.04)             (-5.41)
    med               high              -0.02                0.86               0.16               0.12            0.97
                                       (-0.66)             (96.68)           (12.88)              (8.50)
    high              low                0.05                1.01               0.57              -0.37            0.95
                                        (0.80)             (60.27)           (23.90)            (-13.48)
    high              med               -0.03                0.95               0.53              -0.13            0.96
                                       (-0.66)             (76.40)           (29.60)             (-6.33)
    high              high              -0.08                0.87               0.56               0.08            0.92
                                       (-1.20)             (51.24)           (23.25)              (2.83)
8                                 Dimensional Fund Advisors


None of the post-formation intercepts in Panel B of Table 3 are reliably different
from zero. The largest intercept in absolute terms is the estimate of –0.09 for the
large value style (high HML sensitivity coupled with low SMB sensitivity). This
point estimate corresponds to under-performance of about 1.1% per year, but
since the intercept is only 1.86 standard errors from zero, the abnormal perfor-
mance is not consistent. Although none of the style portfolios in Table 3 show
evidence of reliable abnormal performance, there is a clear tendency for value
funds to underperform growth funds, when SMB sensitivity is held constant. For
all three levels of SMB sensitivity, the post-formation intercept for the high-HML
portfolio is at least 10 basis points below the intercept for the corresponding low-
HML portfolio.

The main result from Tables 1-3 is the poor performance of value funds over the
past 30-plus years. The performance of HML decile 10 is dismal when compared
to the three-factor benchmark.

Portfolios formed by SMB/Alpha and HML/Alpha Sorts
Table 4 reports three-factor regression results for the nine portfolios formed from
independent sorts on pre-formation HML slopes and pre-formation intercepts.
Panel A contains the pre-formation averages for each portfolio, while Panel B
presents the post-formation regression coefficients. Panel C shows regression re-
sults for the portfolios one year after formation. (For example, the returns to the
nine portfolios for 1966 are based on portfolio composition at the beginning of
1965.) By comparing the three panels of Table 4, the reader can assess the magni-
tude and duration of performance persistence for different levels of HML sensitivity.

                                              Table 4

                  Three-Factor Results for Portfolios of Mutual Funds
                     Formed by Independent HML and Alpha Sorts
                                           1965-1998
                                  (t-statistics in parentheses)

                                 Panel A: Pre-formation averages
          HML           Alpha
        Ranking        Ranking      Intercept           Rm-Rf      SMB     HML
          low           low            0.20              0.89      -0.18   -0.41
          low           low           -0.65              0.79       0.43   -0.48
          low           med           -0.01              0.92       0.24   -0.40
          low           high           0.65              0.93       0.30   -0.50
          med           low           -0.50              0.90       0.24   -0.05
          med           med           -0.01              0.88       0.09   -0.05
          med           high           0.50              0.89       0.20   -0.06
          high          low           -0.72              0.85       0.27    0.42
          high          med           -0.01              0.85       0.12    0.26
          high          high           0.64              0.90       0.25    0.41
Mutual Fund Performance and Manager Style                           9

                          Panel B: Post-formation regression coefficients
   HML          Alpha
  Ranking      Ranking        Intercept        Rm-Rf           SMB               HML   R-Sq
    low         low             -0.07           0.97           0.34           -0.26    0.94
                               (-1.18)        (61.68)        (15.32)         (-9.98)
    low         med              0.08           0.98           0.25           -0.31    0.97
                                (1.73)        (81.42)        (14.27)        (-15.64)
    low         high             0.14           0.99           0.37           -0.36    0.95
                                (2.30)        (65.28)        (17.17)        (-14.56)
    med         low             -0.10           0.93           0.21           -0.07    0.97
                               (-2.29)        (86.87)        (13.93)         (-3.82)
    med         med             -0.01           0.91           0.11           -0.06    0.98
                               (-0.34)       (124.18)        (10.02)         (-5.21)
    med         high             0.01           0.91           0.25           -0.11    0.97
                                (0.18)        (87.04)        (16.93)         (-6.18)
    high        low             -0.11           0.86           0.30            0.16    0.93
                               (-1.87)        (59.58)        (14.65)          (6.64)
    high        med             -0.03           0.85           0.14            0.11    0.97
                               (-0.79)       (102.03)        (11.67)          (8.28)
    high        high            -0.08           0.85           0.34            0.07    0.92
                               (-1.32)        (54.74)        (15.38)          (2.91)


                       Panel C: Regression coefficients one year after ranking
   HML          Alpha
  Ranking      Ranking        Intercept        Rm-Rf           SMB               HML   R-Sq
    low         low             -0.12           0.96           0.33           -0.22    0.95
                               (-2.04)        (67.51)        (16.09)         (-9.33)
    low         med             -0.03           0.99           0.21           -0.29    0.97
                               (-0.67)        (84.34)        (12.52)        (-14.84)
    low         high             0.05           0.99           0.33           -0.35    0.96
                                (0.85)        (68.78)        (16.06)        (-14.82)
    med         low             -0.04           0.92           0.22           -0.10    0.96
                               (-0.76)        (81.05)        (13.25)         (-5.53)
    med         med              0.01           0.91           0.11           -0.07    0.98
                                (0.33)       (121.73)        (10.22)         (-5.36)
    med         high            -0.01           0.90           0.23           -0.11    0.97
                               (-0.24)        (90.90)        (16.32)         (-6.91)
    high        low             -0.06           0.86           0.31            0.10    0.92
                               (-0.90)        (56.53)        (14.13)          (4.20)
    high        med              0.01           0.86           0.14            0.10    0.98
                                (0.11)       (108.92)        (12.22)          (7.74)
    high        high            -0.04           0.84           0.28            0.04    0.94
                               (-0.78)        (63.36)        (14.63)          (1.92)


In Panel A, the spread in intercepts between low Alpha and high Alpha portfolios
is at least one percent per month for all three levels of HML sensitivity. In Panel B,
the spreads narrow dramatically, although the ranking across Alpha portfolios is
preserved for both the low HML portfolios and the medium HML portfolios. For
the high HML portfolios, all three intercepts in Panel B are negative, confirming
the fact that value funds have not done well in recent years. Two of the intercepts
10                                     Dimensional Fund Advisors


in Panel B are more than two standard errors from zero, and one of these is posi-
tive. The point estimate of 0.14 for the low HML, high Alpha portfolio corresponds
to abnormal performance of about 1.7% per year. Although this abnormal perfor-
mance disappears in Panel C, the evidence from Table 4 suggests that some growth
managers have been able to maintain good performance over short horizons.

Results for the nine SMB/Alpha portfolios are shown in Table 5. Similar to Table 4,
the spreads in average pre-formation intercepts are large for all three levels of SMB
sensitivity. In Panel B, only the high SMB portfolios maintain the same ordering of
intercepts across Alpha portfolios. Although the ranking for these portfolios re-
mains the same, the spread in intercepts falls dramatically. In Panel A, there is a
difference of nearly 1.5% between the high SMB, high Alpha portfolio and the high
SMB, low Alpha portfolio. In Panel B, that spread falls to less than 25 basis points.
One year later (Panel C), the spread is less than 10 basis points. So, while there is
some evidence of persistence among funds with a small-cap emphasis, the persis-
tence dies out fairly quickly. Further, the only intercept in Panel B that is reliably
different from zero is the estimate of –0.13 for the high SMB, low Alpha portfolio.
This estimate indicates that much of the persistence among small-cap managers is
due to persistence among the poor performers.4 It is also worth noting that the best
performing portfolio in Panel C has an intercept of 0.01.

                                                   Table 5

                     Three-Factor Results for Portfolios of Mutual Funds
                        Formed by Independent SMB and Alpha Sorts
                                                1965-1998
                                       (t-statistics in parentheses)

                                     Panel A: Pre-formation averages
            SMB            Alpha
           Ranking        Ranking        Intercept           Rm-Rf         SMB            HML
             low             low            0.20             0.89         -0.18          -0.41
             low             low           -0.55             0.92         -0.21           0.14
             low             med           -0.01             0.88         -0.14          -0.01
             low             high           0.54             0.90         -0.21          -0.10
             med             low           -0.50             0.90          0.17           0.02
             med             med           -0.01             0.88          0.15          -0.04
             med             high           0.51             0.86          0.17          -0.15
             high            low           -0.79             0.79          0.77          -0.05
             high            med           -0.01             0.89          0.62          -0.13
             high            high           0.69             0.93          0.70          -0.15


 4
  At least part of the performance persistence for the worst performing small-cap funds is due to the high
expense ratios for these funds. Of the nine portfolios in Table 5, the high SMB, low Alpha portfolio has the
highest average expense ratio (1.33%). The next highest average expense ratio is 1.18% for the medium
SMB, low Alpha portfolio. See Carhart (1997) for an analysis of the relationship between performance
persistence and expense ratios.
Mutual Fund Performance and Manager Style                           11

                     Panel B: Post-formation regression coefficients
 SMB       Alpha
Ranking   Ranking        Intercept        Rm-Rf           SMB               HML   R-Sq
 low       low             -0.11           0.90            0.05           0.04    0.92
                          (-1.85)        (59.96)          (2.24)         (1.65)
 low       med             -0.01           0.89           -0.04          -0.03    0.98
                          (-0.23)       (121.22)         (-3.46)        (-2.25)
 low       high            -0.04           0.90            0.04          -0.10    0.96
                          (-0.98)        (81.82)          (2.69)        (-5.41)
 med       low             -0.05           0.88            0.19          -0.02    0.96
                          (-1.12)        (83.79)        (12.44)         (-1.19)
 med       med             -0.01           0.92            0.14          -0.07    0.98
                          (-0.17)       (121.02)        (13.19)         (-5.32)
 med       high            -0.01           0.92            0.21          -0.15    0.96
                          (-0.18)        (80.14)        (12.70)         (-8.03)
 high      low             -0.13           0.94            0.58          -0.10    0.95
                          (-2.17)        (64.97)        (27.94)         (-4.28)
 high      med              0.01           0.95            0.49          -0.17    0.96
                           (0.09)        (72.62)        (25.95)         (-8.00)
 high      high             0.10           0.96            0.59          -0.21    0.95
                           (1.53)        (60.31)        (26.15)         (-8.23)


                  Panel C: Regression coefficients one year after ranking
 SMB       Alpha
Ranking   Ranking        Intercept        Rm-Rf           SMB               HML   R-Sq
 low       low             -0.07           0.88            0.09           0.03    0.93
                          (-1.18)        (62.18)          (4.21)         (1.11)
 low       med             -0.02           0.89           -0.01          -0.03    0.98
                          (-0.52)       (120.85)         (-1.19)        (-2.54)
 low       high            -0.01           0.89            0.06          -0.10    0.96
                          (-0.19)        (81.17)          (4.14)        (-5.60)
 med       low             -0.05           0.90            0.18          -0.06    0.96
                          (-0.99)        (77.12)        (10.90)         (-2.93)
 med       med             -0.01           0.92            0.13          -0.06    0.98
                          (-0.20)       (116.32)        (11.52)         (-4.75)
 med       high             0.01           0.91            0.19          -0.15    0.96
                           (0.20)        (81.47)        (11.74)         (-8.42)
 high      low             -0.06           0.94            0.53          -0.10    0.95
                          (-0.96)        (64.21)        (25.50)         (-4.16)
 high      med             -0.02           0.96            0.45          -0.16    0.96
                          (-0.47)        (74.79)        (24.12)         (-7.58)
 high      high             0.01           0.98            0.52          -0.23    0.96
                           (0.19)        (71.24)        (26.24)        (-10.34)
12                             Dimensional Fund Advisors


Conclusions

The results of this study are not good news for investors who purchase actively
managed mutual funds. No investment style generates positive abnormal returns
over the 1965-1998 sample period. Although there is some evidence of perfor-
mance persistence among the best performing growth funds, this abnormal
performance is not sustainable beyond one year. The finding of performance per-
sistence among poor performing small-cap managers is similar to the results of
Quigley and Sinquefield (2000) for unit trusts in the UK. Apparently, the persis-
tence of poor performance among small-cap managers is not just a problem for
U.S. investors.

In Tables 1-5, t-statistics are shown for 65 different regression intercepts. Even if
fund managers are unable to add any value at all, we would still expect to see
about three of these intercepts more than two standard errors from zero, just by
chance. In fact, there are five. So, while there is not much evidence of abnormal
performance, there is more than we would expect to see if the null hypothesis of
no abnormal performance were absolutely true. For investors, the troubling as-
pect of these results is that four of the five “significant” intercepts are negative.

Perhaps the biggest disappointment over the past three decades is the inability (or
unwillingness) of funds to capture the value premium that is observed in common
stock returns during this period. When funds are ranked by their sensitivity to the
value factor (HML), even the extreme decile does not have much of a value tilt.
Further, these funds that have at least a small sensitivity to the value factor are the
poorest performers. Two questions immediately come to mind. First, why were there
not more fund managers who were willing to own value stocks during a period
when value stocks had higher average returns? Second, why did the funds that had
at least some value exposure perform so poorly? The answers to these questions are
not obvious. Neither is the economic benefit to active fund management.
Mutual Fund Performance and Manager Style                 13

References

Carhart, Mark. “On Persistence in Mutual Fund Performance.” Journal of Finance,
vol. 52, no. 1 (March 1977): 57-82.

Chan, Louis K.C., Hsiu-Lang Chen, and Josef Lakonishok. “On Mutual Fund
Investment Styles.” NBER working paper 7215 (1999).

Davis, James L., Eugene F. Fama, and Kenneth R. French. “Characteristics, Co-
variances, and Average Returns: 1929-1997.” Journal of Finance, vol. 55, no. 1
(February 2000): 389-406.

Elton, Edwin J., Martin J. Gruber, Sanjiv Das, and Christopher R. Blake. “The Per-
sistence of Risk-adjusted Mutual Fund Performance.” Journal of Business, vol. 69,
no. 2 (April 1996): 133-157.

Fama, Eugene F., and Kenneth R. French. “Common Risk Factors in the Returns
on Bonds and Stocks.” Journal of Financial Economics, vol. 33, no. 1 (February
1993): 3-56.

Goetzmann, William N., and Roger G. Ibbotson. “Do Winners Repeat? Patterns in
Mutual Fund Performance.” Journal of Portfolio Management, vol. 20, no. 2 (Winter
1994): 9-18.

Grinblatt, Mark, and Sheridan Titman. “The Persistence of Mutual Fund Perfor-
mance.” Journal of Finance, vol. 42, no. 5 (December 1992): 1977-1984.

Gruber, Martin J. “Another Puzzle: The Growth in Actively Managed Mutual
Funds.” Journal of Finance, vol. 51, no. 3 (July 1996): 783-810.

Hendricks, Darryll, Jayendu Patel, and Richard Zeckhauser. “Hot Hands in Mu-
tual Funds: Short-run Persistence of Performance, 1974-88.” Journal of Finance,
vol. 48, no. 1 (March 1993): 93-130.

Jensen, Michael C. “Risk, the Pricing of Capital Assets, and Evaluation of Invest-
ment Portfolios.” Journal of Business, vol. 42, no. 2 (April 1969): 167-247.

Quigley, Garrett, and Rex A. Sinquefield. “The Performance of UK Equity Unit
Trusts.” Forthcoming, Journal of Asset Management, vol. 1, no. 1 (July 2000).

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Dimensional Funds prospectus information

  • 1. Please refer to the prospectus for information on Dimensional Funds, including investment policies, charges, expenses, risks and other matters of interest to the prospective investor. This material is provided solely as background information for registered investment advisors, institutional investors and other sophisticated investors and is not intended for public use. It should not be distributed to investors of products managed by Dimensional Fund Advisors Inc. or to potential investors. © 1995, 1996, 1997, 1998, 1999, 2000 by Dimensional Fund Advisors Inc. All rights reserved. Unauthorized copying, reproducing, duplicating or transmitting of this material is prohibited. MAY 2000 Mutual Fund Performance and Manager Style JAMES L. DAVIS A NUMBER OF RECENT STUDIES have looked for evidence of persistence in mutual fund performance. These studies are trying to determine whether there are certain funds that consistently outperform (or underperform) other mutual funds.1 Although the evidence is mixed, the general conclusion from these articles is that a few fund managers do tend to regularly appear near the top of the annual return rankings. There is stronger evidence that some managers consistently appear near the bot- tom of the rankings. For investors, the main implication of these studies is the small likelihood of consistently earning abnormal returns by selecting individual fund managers. In contrast to earlier studies, this article looks at the relation between fund perfor- mance and manager style. Two specific issues are addressed. First, does any particular investment style reliably deliver abnormal performance? Second, when funds with similar styles are compared, is there any evidence of performance persistence? The styles investigated in this article are classified along two general dimensions: value versus growth and small-cap versus large-cap. The results in- dicate that none of the styles included in the study are able to generate positive abnormal returns, compared to the Fama-French (1993) benchmark. Value funds generate negative abnormal returns during the 1965-1998 sample period. There is some evidence of performance persistence during the sample period, but the abnormal performance tends to die out fairly quickly. The best performing growth managers tend to continue to perform well during the year after they are This paper has benefited from the comments of David G. Booth, Truman A. Clark, Eugene F. Fama, Kenneth R. French, Rex A. Sinquefield, an anonymous referee, and participants at Dimensional Fund Advisors’ 1998 Investment Symposium. 1 For example, see Carhart (1997), Elton, Gruber, Das, and Blake (1996), Goetzmann and Ibbotson (1994), Grinblatt and Titman (1992), Gruber (1996), and Hendricks, Patel and Zeckhauser (1993).
  • 2. 2 Dimensional Fund Advisors identified as good performers, and the worst performing small-cap managers con- tinue to generate negative abnormal returns after they are identified as poor performers. Overall, the results of this study cast doubt on the economic value of active fund management. Data and Methodology Data Sources The primary data source for this article is the mutual fund database maintained by the Center for Research in Security Prices (CRSP) at the University of Chicago. This database, which covers the period from 1962 through 1998, is essentially free of the survivorship bias that plagues most studies of mutual fund perfor- mance. Since data for funds that died during the sample period are included in the database, the resulting fund performance statistics provide a clear picture of per- formance for the various investment styles. See Carhart (1997) for a discussion of the construction of this database. In addition to the data from the CRSP mutual fund database, this study also uses the monthly factor realizations from the Fama-French (1993) three-factor model. These factor realizations are calculated using the Davis, Fama and French (2000) database. Sample Selection The tests in this study examine the performance of equity mutual funds. Two criteria are used to select equity funds from the more general set of mutual funds in the CRSP database. If a fund’s stated objective is growth, growth and income, maximum capital gains, small capitalization growth, or aggressive growth, it is classified as an equity fund and included in the sample. A fund is also included if its objective is not listed, but its policy statement indicates that it invests primarily in common stock. The sample includes 4,686 funds, covering 26,564 fund-years from 1962 to 1998. In other words, there are 26,564 instances where a fund is classified as an equity fund and has at least one valid monthly return during the calendar year. The me- dian of the equity weights for these 26,564 fund-years is 93%, so the sample selection process does identify funds that are primarily equity portfolios. Style Identification The Fama-French three-factor model is used to infer a fund’s investment style. For each fund, thirty-six monthly returns are used to estimate the following regression: Rit – Rft = ai + bi (Rmt-Rft) + si SMBt + hi HMLt + eit , where Rit is the return (in percent) to fund i for month t, Rft is the T-Bill return for month t, Rmt is the return to the CRSP value weighted index for month t, SMBt is
  • 3. Mutual Fund Performance and Manager Style 3 the realization on the capitalization factor (small-cap return minus large-cap re- turn) for month t, and HMLt is the realization on the value factor (value return minus growth return) for month t. Small stocks tend to have a positive loading on SMB (a positive slope, si) and big stocks tend to have a negative loading. Simi- larly, a positive estimate of hi indicates sensitivity to the value factor, and a negative estimate indicates a growth tilt. Thus, funds are identified as small-cap or large- cap based on their estimated SMB slopes, si, and funds are sorted into value and growth based on their HML slopes, hi. The intercept, sometimes referred to as Alpha, is a measure of performance relative to the three-factor benchmark. Portfolio Formation Funds are placed in style portfolios at the beginning of each year from 1965- 1998. At the beginning of 1965, for example, returns for the previous 36 months (1962-1964) are used to estimate pre-formation slopes on the HML and SMB factors. Based on these pre-formation slopes, funds with similar styles are allo- cated into portfolios, and then equally weighted portfolio returns are calculated for each month of 1965. The portfolios are re-formed each year. Univariate SMB and HML sorts are used to form decile portfolios, and bivariate sorts are used to form portfolios based on the intersection of the HML and SMB rankings. In these bivariate sorts, a 3x3 partitioning of the funds is created: Funds are divided into thirds based on their SMB ranking (low, medium, and high SMB sensitivity), and into thirds based on their HML ranking. This 3x3 partitioning produces nine portfolios at the beginning of the year. For example, a fund that is in the top third of the SMB ranking and the bottom third of the HML ranking is placed in the high SMB, low HML (small growth) portfolio.2 The portfolios do not change during the year, except for funds that cease to exist during the year. Re- peating this process for each year yields a time series of 408 equally weighted monthly returns (1965-1998) for each portfolio. The tests for performance persistence use portfolios that are formed from bivari- ate sorts on HML and Alpha, and on SMB and Alpha. In each case, a 3x3 partitioning of the funds is created, with each of the independent sorts divided into thirds. Then portfolios are formed based on the intersections of these inde- pendent rankings. For example, the low HML, low Alpha portfolio consists of funds that are in the bottom third of the pre-formation HML ranking and the bot- tom third of the pre-formation Alpha (intercept) ranking. This portfolio would then consist of funds that had a growth emphasis during the pre-formation period and performed relatively poorly, when compared to the three-factor benchmark. 2 The main advantage of using independent SMB and HML sorts (instead of conditional sorts) is the simultaneous dispersion that is attained in both of the sorts. The disadvantage of this procedure is the fact that the nine portfolios do not all contain the same number of funds. On average, the low HML, high SMB portfolio is the largest, with an average of 77.6 funds. The medium HML, high SMB portfolio tends to be the smallest, with an average of 45.3 funds.
  • 4. 4 Dimensional Fund Advisors Tests for Abnormal Returns In addition to being used on pre-formation returns to infer fund style, the Fama-French three-factor model is also used on post-formation returns to iden- tify abnormal performance. The time series of equally weighted returns for each portfolio is used in the three-factor regression model, with the intercept measuring abnormal performance. A positive intercept suggests superior per- formance and a negative intercept suggests under-performance, relative to the three-factor benchmark. The three-factor model is chosen as the performance benchmark for two reasons. First, Davis, Fama and French (2000) provide evidence that the three factors have explanatory power for security returns because they are associated with risk. If the factors do measure risk, then they should be compensated in the average returns earned by fund managers. Second, regardless of one’s beliefs about what HML and SMB measure, the premiums associated with these factors can be earned by a passive strategy of buying a diversified portfolio of stocks with a desired level of sensitivity to the factors. If active fund management has economic value, active managers should be able to outperform such a passive strategy. Results for Style-Based Portfolios Portfolios Formed by Univariate Sorts Table 1 reports three-factor regression results for funds sorted by pre-formation HML slopes. Panel A shows average pre-formation slopes for each HML decile, and Panel B shows regression results for equally weighted decile returns. In Panel B, the high values for R2, coupled with the magnitudes of the t-statistics on the regressors, indicate that the three-factor model captures much of the variation in decile returns. Since the regression coefficients are measured with error, the spread on the HML slopes between extreme deciles is much smaller in the post-forma- tion regressions than in the pre-formation averages. However, post-formation HML coefficients are still monotonic across deciles, suggesting that the sorting proce- dure is able to identify the funds that tend to have a value or growth emphasis. It should be noted that the post-formation HML coefficient for decile 10 is only 0.20. This indicates that even the funds in the top HML decile do not have much of an exposure to the value factor. Funds appear to be reluctant to fill their portfo- lios with value stocks.3 The intercepts in Table 1 indicate that growth funds tend to perform better than value funds during the 1965-1998 sample period, relative to the three-factor bench- mark. In both panels, the intercepts for the first five deciles are mostly positive, while the intercepts for deciles 6-10 are nearly all negative. The only post-formation intercept that is reliably different from zero is the estimate of –0.23 for decile 10. 3 Chan, Chen, and Lakonishok (1999) also report a tendency for mutual funds to favor growth stocks.
  • 5. Mutual Fund Performance and Manager Style 5 This intercept indicates that the funds in HML decile 10 underperformed the three- factor benchmark by about 2 3/4% per year, on average. So, Table 1 does provide at least some evidence of abnormal performance, but it is negative performance on the part of funds with the most value tilt. Table 1 Three-Factor Results for Deciles of Mutual Funds Formed from HML Sorts 1965-1998 (t-statistics in parentheses) Panel A: Pre-formation averages by decile HML Decile Intercept Rm-Rf SMB HML 1 0.17 0.83 0.46 -0.81 2 0.08 0.90 0.31 -0.43 3 0.07 0.90 0.24 -0.29 4 0.03 0.91 0.22 -0.18 5 0.02 0.89 0.17 -0.09 6 -0.01 0.89 0.14 -0.01 7 -0.05 0.85 0.16 0.07 8 -0.05 0.87 0.16 0.16 9 -0.07 0.85 0.18 0.28 10 -0.30 0.91 0.28 0.75 Panel B: Post-formation regression coefficients HML Decile Intercept Rm-Rf SMB HML R-Sq 1 0.13 1.03 0.45 -0.45 0.94 (1.76) (56.59) (17.43) (-15.08) 2 0.04 0.98 0.29 -0.31 0.96 (0.80) (71.18) (14.61) (-13.59) 3 0.04 0.95 0.23 -0.25 0.97 (0.86) (91.22) (15.71) (-14.64) 4 0.03 0.94 0.23 -0.16 0.97 (0.76) (95.99) (16.11) (-10.17) 5 -0.05 0.92 0.17 -0.10 0.97 (-1.41) (96.97) (12.93) (-6.73) 6 -0.04 0.93 0.16 -0.05 0.98 (-1.03) (109.39) (13.43) (-3.49) 7 -0.03 0.87 0.17 0.02 0.97 (-0.89) (90.30) (12.55) (1.54) 8 0.01 0.87 0.20 0.04 0.96 (0.35) (84.34) (13.60) (2.59) 9 -0.04 0.86 0.22 0.15 0.97 (-1.12) (93.76) (17.05) (9.94) 10 -0.23 0.83 0.40 0.20 0.86 (-2.75) (40.20) (13.52) (5.95)
  • 6. 6 Dimensional Fund Advisors Table 2 shows regression results for funds sorted by pre-formation SMB slopes. As in Table 1, the explanatory variables are strongly related to decile returns, and the R2 values are close to 1. Most of the post-formation intercepts are negative, and none are reliably different from zero. There is no evidence of abnormal perfor- mance for any of these portfolios. The three-factor model does a good job explaining the returns to these deciles. Table 2 Three-Factor Results for Deciles of Mutual Funds Formed from SMB Sorts 1965-1998 (t-statistics in parentheses) Panel A: Pre-formation averages by decile SMB Decile Intercept Rm-Rf SMB HML 1 0.05 1.00 -0.44 0.08 2 0.02 0.88 -0.15 -0.02 3 0.01 0.87 -0.05 -0.03 4 0.01 0.87 0.03 -0.03 5 -0.01 0.88 0.11 -0.03 6 -0.01 0.88 0.20 -0.07 7 0.02 0.90 0.32 -0.08 8 0.01 0.89 0.47 -0.11 9 0.00 0.86 0.66 -0.16 10 -0.21 0.78 1.14 -0.08 Panel B: Post-formation regression coefficients SMB Decile Intercept Rm-Rf SMB HML R-Sq 1 -0.12 0.91 -0.03 0.01 0.90 (-1.69) (53.95) (-1.15) (0.09) 2 -0.05 0.89 0.01 -0.03 0.97 (-1.52) (100.47) (0.10) (-2.31) 3 -0.03 0.89 0.05 -0.04 0.98 (-0.79) (110.97) (4.02) (-3.03) 4 -0.02 0.90 0.08 -0.04 0.97 (-0.67) (103.19) (6.77) (-2.76) 5 -0.02 0.91 0.12 -0.07 0.98 (-0.65) (111.18) (10.02) (-5.16) 6 0.01 0.90 0.19 -0.08 0.97 (0.20) (95.49) (14.30) (-5.33) 7 -0.01 0.92 0.31 -0.12 0.97 (-0.25) (86.34) (20.31) (-6.66) 8 0.01 0.92 0.44 -0.15 0.96 (0.15) (73.56) (24.74) (-7.25) 9 0.02 0.96 0.56 -0.19 0.96 (0.35) (67.91) (27.61) (-8.38) 10 -0.06 0.97 0.76 -0.19 0.93 (-0.76) (50.11) (27.66) (6.09)
  • 7. Mutual Fund Performance and Manager Style 7 Portfolios Formed by Independent HML and SMB Sorts Regression results for portfolios formed by independent HML and SMB sorts are shown in Table 3. The first row in each panel shows results for funds that have low sensitivity to both the SMB and HML factors. This portfolio corresponds to a large growth style. The bottom row shows results for funds that have high sensi- tivity to both factors. The inferred style for these funds is small value. The other rows show different combinations of sensitivities to these two factors. Table 3 Three-Factor Results for Portfolios of Mutual Funds Formed from Independent SMB and HML Sorts 1965-1998 (t-statistics in parentheses) Panel A: Pre-formation averages SMB HML Decile Ranking Intercept Rm-Rf SMB HML low low 0.20 0.89 -0.18 -0.41 low med 0.03 0.89 -0.16 -0.05 low high -0.11 0.92 -0.22 0.36 med low 0.12 0.92 0.17 -0.42 med med -0.01 0.87 0.16 -0.05 med high -0.10 0.85 0.16 0.28 high low 0.03 0.85 0.73 -0.55 high med -0.02 0.90 0.64 -0.06 high high -0.20 0.82 0.75 0.43 Panel B: Post-formation regression coefficients SMB HML Decile Ranking Intercept Rm-Rf SMB HML R-Sq low low 0.01 0.94 0.03 -0.22 0.96 (0.21) (76.81) (1.96) (-10.89) low med -0.05 0.90 -0.02 -0.04 0.97 (-1.59) (107.93) (-1.73) (-2.96) low high -0.09 0.85 0.04 0.15 0.93 (-1.86) (68.29) (2.48) (7.50) med low 0.08 0.96 0.20 -0.32 0.96 (1.61) (76.03) (11.33) (-15.29) med med -0.03 0.91 0.15 -0.08 0.98 (-0.92) (104.98) (12.04) (-5.41) med high -0.02 0.86 0.16 0.12 0.97 (-0.66) (96.68) (12.88) (8.50) high low 0.05 1.01 0.57 -0.37 0.95 (0.80) (60.27) (23.90) (-13.48) high med -0.03 0.95 0.53 -0.13 0.96 (-0.66) (76.40) (29.60) (-6.33) high high -0.08 0.87 0.56 0.08 0.92 (-1.20) (51.24) (23.25) (2.83)
  • 8. 8 Dimensional Fund Advisors None of the post-formation intercepts in Panel B of Table 3 are reliably different from zero. The largest intercept in absolute terms is the estimate of –0.09 for the large value style (high HML sensitivity coupled with low SMB sensitivity). This point estimate corresponds to under-performance of about 1.1% per year, but since the intercept is only 1.86 standard errors from zero, the abnormal perfor- mance is not consistent. Although none of the style portfolios in Table 3 show evidence of reliable abnormal performance, there is a clear tendency for value funds to underperform growth funds, when SMB sensitivity is held constant. For all three levels of SMB sensitivity, the post-formation intercept for the high-HML portfolio is at least 10 basis points below the intercept for the corresponding low- HML portfolio. The main result from Tables 1-3 is the poor performance of value funds over the past 30-plus years. The performance of HML decile 10 is dismal when compared to the three-factor benchmark. Portfolios formed by SMB/Alpha and HML/Alpha Sorts Table 4 reports three-factor regression results for the nine portfolios formed from independent sorts on pre-formation HML slopes and pre-formation intercepts. Panel A contains the pre-formation averages for each portfolio, while Panel B presents the post-formation regression coefficients. Panel C shows regression re- sults for the portfolios one year after formation. (For example, the returns to the nine portfolios for 1966 are based on portfolio composition at the beginning of 1965.) By comparing the three panels of Table 4, the reader can assess the magni- tude and duration of performance persistence for different levels of HML sensitivity. Table 4 Three-Factor Results for Portfolios of Mutual Funds Formed by Independent HML and Alpha Sorts 1965-1998 (t-statistics in parentheses) Panel A: Pre-formation averages HML Alpha Ranking Ranking Intercept Rm-Rf SMB HML low low 0.20 0.89 -0.18 -0.41 low low -0.65 0.79 0.43 -0.48 low med -0.01 0.92 0.24 -0.40 low high 0.65 0.93 0.30 -0.50 med low -0.50 0.90 0.24 -0.05 med med -0.01 0.88 0.09 -0.05 med high 0.50 0.89 0.20 -0.06 high low -0.72 0.85 0.27 0.42 high med -0.01 0.85 0.12 0.26 high high 0.64 0.90 0.25 0.41
  • 9. Mutual Fund Performance and Manager Style 9 Panel B: Post-formation regression coefficients HML Alpha Ranking Ranking Intercept Rm-Rf SMB HML R-Sq low low -0.07 0.97 0.34 -0.26 0.94 (-1.18) (61.68) (15.32) (-9.98) low med 0.08 0.98 0.25 -0.31 0.97 (1.73) (81.42) (14.27) (-15.64) low high 0.14 0.99 0.37 -0.36 0.95 (2.30) (65.28) (17.17) (-14.56) med low -0.10 0.93 0.21 -0.07 0.97 (-2.29) (86.87) (13.93) (-3.82) med med -0.01 0.91 0.11 -0.06 0.98 (-0.34) (124.18) (10.02) (-5.21) med high 0.01 0.91 0.25 -0.11 0.97 (0.18) (87.04) (16.93) (-6.18) high low -0.11 0.86 0.30 0.16 0.93 (-1.87) (59.58) (14.65) (6.64) high med -0.03 0.85 0.14 0.11 0.97 (-0.79) (102.03) (11.67) (8.28) high high -0.08 0.85 0.34 0.07 0.92 (-1.32) (54.74) (15.38) (2.91) Panel C: Regression coefficients one year after ranking HML Alpha Ranking Ranking Intercept Rm-Rf SMB HML R-Sq low low -0.12 0.96 0.33 -0.22 0.95 (-2.04) (67.51) (16.09) (-9.33) low med -0.03 0.99 0.21 -0.29 0.97 (-0.67) (84.34) (12.52) (-14.84) low high 0.05 0.99 0.33 -0.35 0.96 (0.85) (68.78) (16.06) (-14.82) med low -0.04 0.92 0.22 -0.10 0.96 (-0.76) (81.05) (13.25) (-5.53) med med 0.01 0.91 0.11 -0.07 0.98 (0.33) (121.73) (10.22) (-5.36) med high -0.01 0.90 0.23 -0.11 0.97 (-0.24) (90.90) (16.32) (-6.91) high low -0.06 0.86 0.31 0.10 0.92 (-0.90) (56.53) (14.13) (4.20) high med 0.01 0.86 0.14 0.10 0.98 (0.11) (108.92) (12.22) (7.74) high high -0.04 0.84 0.28 0.04 0.94 (-0.78) (63.36) (14.63) (1.92) In Panel A, the spread in intercepts between low Alpha and high Alpha portfolios is at least one percent per month for all three levels of HML sensitivity. In Panel B, the spreads narrow dramatically, although the ranking across Alpha portfolios is preserved for both the low HML portfolios and the medium HML portfolios. For the high HML portfolios, all three intercepts in Panel B are negative, confirming the fact that value funds have not done well in recent years. Two of the intercepts
  • 10. 10 Dimensional Fund Advisors in Panel B are more than two standard errors from zero, and one of these is posi- tive. The point estimate of 0.14 for the low HML, high Alpha portfolio corresponds to abnormal performance of about 1.7% per year. Although this abnormal perfor- mance disappears in Panel C, the evidence from Table 4 suggests that some growth managers have been able to maintain good performance over short horizons. Results for the nine SMB/Alpha portfolios are shown in Table 5. Similar to Table 4, the spreads in average pre-formation intercepts are large for all three levels of SMB sensitivity. In Panel B, only the high SMB portfolios maintain the same ordering of intercepts across Alpha portfolios. Although the ranking for these portfolios re- mains the same, the spread in intercepts falls dramatically. In Panel A, there is a difference of nearly 1.5% between the high SMB, high Alpha portfolio and the high SMB, low Alpha portfolio. In Panel B, that spread falls to less than 25 basis points. One year later (Panel C), the spread is less than 10 basis points. So, while there is some evidence of persistence among funds with a small-cap emphasis, the persis- tence dies out fairly quickly. Further, the only intercept in Panel B that is reliably different from zero is the estimate of –0.13 for the high SMB, low Alpha portfolio. This estimate indicates that much of the persistence among small-cap managers is due to persistence among the poor performers.4 It is also worth noting that the best performing portfolio in Panel C has an intercept of 0.01. Table 5 Three-Factor Results for Portfolios of Mutual Funds Formed by Independent SMB and Alpha Sorts 1965-1998 (t-statistics in parentheses) Panel A: Pre-formation averages SMB Alpha Ranking Ranking Intercept Rm-Rf SMB HML low low 0.20 0.89 -0.18 -0.41 low low -0.55 0.92 -0.21 0.14 low med -0.01 0.88 -0.14 -0.01 low high 0.54 0.90 -0.21 -0.10 med low -0.50 0.90 0.17 0.02 med med -0.01 0.88 0.15 -0.04 med high 0.51 0.86 0.17 -0.15 high low -0.79 0.79 0.77 -0.05 high med -0.01 0.89 0.62 -0.13 high high 0.69 0.93 0.70 -0.15 4 At least part of the performance persistence for the worst performing small-cap funds is due to the high expense ratios for these funds. Of the nine portfolios in Table 5, the high SMB, low Alpha portfolio has the highest average expense ratio (1.33%). The next highest average expense ratio is 1.18% for the medium SMB, low Alpha portfolio. See Carhart (1997) for an analysis of the relationship between performance persistence and expense ratios.
  • 11. Mutual Fund Performance and Manager Style 11 Panel B: Post-formation regression coefficients SMB Alpha Ranking Ranking Intercept Rm-Rf SMB HML R-Sq low low -0.11 0.90 0.05 0.04 0.92 (-1.85) (59.96) (2.24) (1.65) low med -0.01 0.89 -0.04 -0.03 0.98 (-0.23) (121.22) (-3.46) (-2.25) low high -0.04 0.90 0.04 -0.10 0.96 (-0.98) (81.82) (2.69) (-5.41) med low -0.05 0.88 0.19 -0.02 0.96 (-1.12) (83.79) (12.44) (-1.19) med med -0.01 0.92 0.14 -0.07 0.98 (-0.17) (121.02) (13.19) (-5.32) med high -0.01 0.92 0.21 -0.15 0.96 (-0.18) (80.14) (12.70) (-8.03) high low -0.13 0.94 0.58 -0.10 0.95 (-2.17) (64.97) (27.94) (-4.28) high med 0.01 0.95 0.49 -0.17 0.96 (0.09) (72.62) (25.95) (-8.00) high high 0.10 0.96 0.59 -0.21 0.95 (1.53) (60.31) (26.15) (-8.23) Panel C: Regression coefficients one year after ranking SMB Alpha Ranking Ranking Intercept Rm-Rf SMB HML R-Sq low low -0.07 0.88 0.09 0.03 0.93 (-1.18) (62.18) (4.21) (1.11) low med -0.02 0.89 -0.01 -0.03 0.98 (-0.52) (120.85) (-1.19) (-2.54) low high -0.01 0.89 0.06 -0.10 0.96 (-0.19) (81.17) (4.14) (-5.60) med low -0.05 0.90 0.18 -0.06 0.96 (-0.99) (77.12) (10.90) (-2.93) med med -0.01 0.92 0.13 -0.06 0.98 (-0.20) (116.32) (11.52) (-4.75) med high 0.01 0.91 0.19 -0.15 0.96 (0.20) (81.47) (11.74) (-8.42) high low -0.06 0.94 0.53 -0.10 0.95 (-0.96) (64.21) (25.50) (-4.16) high med -0.02 0.96 0.45 -0.16 0.96 (-0.47) (74.79) (24.12) (-7.58) high high 0.01 0.98 0.52 -0.23 0.96 (0.19) (71.24) (26.24) (-10.34)
  • 12. 12 Dimensional Fund Advisors Conclusions The results of this study are not good news for investors who purchase actively managed mutual funds. No investment style generates positive abnormal returns over the 1965-1998 sample period. Although there is some evidence of perfor- mance persistence among the best performing growth funds, this abnormal performance is not sustainable beyond one year. The finding of performance per- sistence among poor performing small-cap managers is similar to the results of Quigley and Sinquefield (2000) for unit trusts in the UK. Apparently, the persis- tence of poor performance among small-cap managers is not just a problem for U.S. investors. In Tables 1-5, t-statistics are shown for 65 different regression intercepts. Even if fund managers are unable to add any value at all, we would still expect to see about three of these intercepts more than two standard errors from zero, just by chance. In fact, there are five. So, while there is not much evidence of abnormal performance, there is more than we would expect to see if the null hypothesis of no abnormal performance were absolutely true. For investors, the troubling as- pect of these results is that four of the five “significant” intercepts are negative. Perhaps the biggest disappointment over the past three decades is the inability (or unwillingness) of funds to capture the value premium that is observed in common stock returns during this period. When funds are ranked by their sensitivity to the value factor (HML), even the extreme decile does not have much of a value tilt. Further, these funds that have at least a small sensitivity to the value factor are the poorest performers. Two questions immediately come to mind. First, why were there not more fund managers who were willing to own value stocks during a period when value stocks had higher average returns? Second, why did the funds that had at least some value exposure perform so poorly? The answers to these questions are not obvious. Neither is the economic benefit to active fund management.
  • 13. Mutual Fund Performance and Manager Style 13 References Carhart, Mark. “On Persistence in Mutual Fund Performance.” Journal of Finance, vol. 52, no. 1 (March 1977): 57-82. Chan, Louis K.C., Hsiu-Lang Chen, and Josef Lakonishok. “On Mutual Fund Investment Styles.” NBER working paper 7215 (1999). Davis, James L., Eugene F. Fama, and Kenneth R. French. “Characteristics, Co- variances, and Average Returns: 1929-1997.” Journal of Finance, vol. 55, no. 1 (February 2000): 389-406. Elton, Edwin J., Martin J. Gruber, Sanjiv Das, and Christopher R. Blake. “The Per- sistence of Risk-adjusted Mutual Fund Performance.” Journal of Business, vol. 69, no. 2 (April 1996): 133-157. Fama, Eugene F., and Kenneth R. French. “Common Risk Factors in the Returns on Bonds and Stocks.” Journal of Financial Economics, vol. 33, no. 1 (February 1993): 3-56. Goetzmann, William N., and Roger G. Ibbotson. “Do Winners Repeat? Patterns in Mutual Fund Performance.” Journal of Portfolio Management, vol. 20, no. 2 (Winter 1994): 9-18. Grinblatt, Mark, and Sheridan Titman. “The Persistence of Mutual Fund Perfor- mance.” Journal of Finance, vol. 42, no. 5 (December 1992): 1977-1984. Gruber, Martin J. “Another Puzzle: The Growth in Actively Managed Mutual Funds.” Journal of Finance, vol. 51, no. 3 (July 1996): 783-810. Hendricks, Darryll, Jayendu Patel, and Richard Zeckhauser. “Hot Hands in Mu- tual Funds: Short-run Persistence of Performance, 1974-88.” Journal of Finance, vol. 48, no. 1 (March 1993): 93-130. Jensen, Michael C. “Risk, the Pricing of Capital Assets, and Evaluation of Invest- ment Portfolios.” Journal of Business, vol. 42, no. 2 (April 1969): 167-247. Quigley, Garrett, and Rex A. Sinquefield. “The Performance of UK Equity Unit Trusts.” Forthcoming, Journal of Asset Management, vol. 1, no. 1 (July 2000).