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Original Article

      Do mutual funds with few holdings
      outperform the market?
      Received (in revised form): 24th October 2008


      Abhay Kaushik
      is an assistant professor of finance at Radford University, Virginia. He received his MS in Economics and PhD in Finance from
      Florida Atlantic University. His main areas of research include financial markets and exchange rate.



      Scott W. Barnhart
      is an associate professor of finance at Florida Atlantic University. He received his MS in Economics from Florida State University
      and PhD in Economics from Texas A&M University. Professor Barnhart is the Programme Director of both the MBA with Financial
      Planning Track and the Certified Financial Plannert Certificate Programme at Florida Atlantic University.


      Correspondence: Abhay Kaushik, Department of Accounting, Finance and Business Law, Radford University, Virginia 24142, USA
      E-mail: akaushik@radford.edu


      ABSTRACT This paper investigates the performance of mutual funds that hold a small
      number of stocks in their portfolio. Similar to results reported in the literature for the
      average diversified mutual fund, our results indicate that the average small holding fund
      does not outperform the S&P 500 index. On average, small holding funds under-perform
      the market on a risk and investment style adjusted basis by about À20 basis points per
      month, or by À2.40 per cent per year. We also find that there is a sharp contrast between
      the performance of Winner and Loser portfolios. On average, Winner portfolios outperform
      the S&P composite index by 410 basis points per month, or an astounding 49.2 per cent
      per annum, whereas Losers under-perform by 320, or À38.4 per cent per annum, over the
      same period. Cross sectional regressions indicate that Winner portfolio abnormal
      performance is positively and significantly related to fund turnover and the per cent of
      the fund’s assets invested in their top 10 most heavily weighted holdings. Results for Loser
      portfolios show that abnormal performance deteriorates significantly with turnover,
      concentration and expenses, but rises with Load and Size.
      Journal of Asset Management (2009) 9, 398–408. doi:10.1057/jam.2008.39

      Keywords: mutual fund performance; expense ratio; turnover ratio; holdings



      INTRODUCTION                                                      underperformance of non-stock holdings.
      Recent academic research on actively                              Moreover, Carhart (1997) shows that risk-
      managed mutual fund performance has                               adjusted net returns from the average mutual
      shown that the average well-diversified                            fund are negatively correlated with fund
      mutual fund under-performs passive                                expenses and portfolio turnover, both of
      market benchmarks after adjusting for risk,                       which have increased over time (Wermers
      expenses and trading costs (see, for example,                     (2000)).1
      Wermers (2000) among others). The                                    In contrast to the results reported in
      underperformance found is largely                                 studies of broadly diversified mutual funds,
      explained by mutual fund expenses and                             the financial press has frequently reported
      transactions costs, and to a lesser extent the                    that small, more concentrated or focused


398                  & 2009 Palgrave Macmillan 1470-8272 Journal of Asset Management Vol. 9, 6, 398–408
                                                      www.palgrave-journals.com/jam/
Do mutual funds with few holdings outperform the market?



portfolios, while perhaps not fully                  in a small number of companies may be in
diversified, may be a better investment bet.2         conflict with the common recommendation
This is exactly the style of investing               of diversification, it is consistent with Warren
advocated by Warren Buffett and used in his          Buffett’s huge success and the notion that
phenomenally successful Berkshire Hathaway           some fund managers have informational
fund.3 Recent research in this area has              advantages over others. By holding fewer
proceeded down to two related paths: the             stocks, as opposed to one or two hundred,
first investigates scale economies or the effect      with larger percentages of the fund’s assets
of fund size on performance and the other            concentrated among fewer companies, fund
examines how portfolio concentration affects         managers can take more aggressive positions
fund performance.                                    in companies that they are more familiar
    In the first strand examining scale               with, thereby magnifying potential gains
economies, Berk and Green (2004)                     (and losses). Indeed, in the late 1990s, when
demonstrate in their model that some                 stock market index returns were driven
empirical regularities found in mutual fund          largely by a few highly valued companies in
research, such as fund flow following                 the index, mutual fund companies
performance, and so on, result when they             introduced a number of new funds with
assume that mutual fund manager costs are            concentrated holdings.4
an increasing function of the amount of                  These arguments raise a simple yet
funds under management. They assume that             important question: Do mutual funds with
‘‘managerial talent is a scarce resource and is      fewer and more concentrated holdings
dissipated as the scale of operations increases’’.   outperform broader based market
Empirically, Chen et al (2004) document              benchmarks, or do they suffer the same
Berk and Green’s assumption, finding that             underperformance of the average mutual
risk and fee-adjusted excess returns are             fund cited above? In this study we examine
negatively related to size, measured by the          the performance of mutual fund portfolios
total net assets under management. In related        that hold a small number of stocks. As a
work, Shawky and Smith (2005) find a                  consequence of holding few companies,
quadratic relationship between risk-adjusted         these funds also have concentrated holdings.
fund returns and the number of fund                  In a fashion similar to the existing literature,
holdings, suggesting that there is a trade off       we compare the performance of these funds
between diversification benefits and                   with passive portfolio benchmarks like the
increased transactions and monitoring costs.         S&P 500 index.
    In the second strand investigating fund              As no mutual fund trade association, such
concentration, Kacperczyk et al (2005) show          as the Investment Company Institute (ICI),
that mutual funds that concentrate their             or investment research firm, such as
holdings within a few industries outperform          Morningstar Inc., has defined a fund
passive benchmarks by 1.58 per cent per year         category with the fund characteristics we
after controlling for risk and style differences.    wish to investigate, that is, funds with a small
They attribute their findings to superior             number of concentrated holdings, we rely on
stock selection by managers of concentrated          definitions reported in the financial press and
funds. Similarly, Nanda et al (2004) find that        in fund objective statements taken from
fund families that have fewer or more                internet sources.5 Specifically, this study
narrowly focused investment strategies               defines a small, concentrated portfolio as a
outperform families that have a wider variety        mutual fund with holdings of 10–30 stocks.6
of strategies.                                       We investigate the performance of these
    Although the argument in favour of               funds over the recent 2001–2006 year
holding a fund whose assets are concentrated         period, a period that includes both recession


        & 2009 Palgrave Macmillan 1470-8272 Journal of Asset Management Vol. 9, 6, 398–408              399
Kaushik and Barnhart



          and expansion.7 During this period investors      section discusses the methodology and the
          have shown great interest in more narrowly        penultimate section presents the empirical
          focused, non-diversified funds, such as sector     results. The last section concludes the
          funds and exchange-traded funds. A case in        paper.
          point, over the period of study, the growth in
          the total net assets under management of the
          funds we investigate grew at a compound           THE PROS AND CONS OF
          annual rate of 21.44 per cent, versus a rate of   HOLDING SMALL DIVERSIFIED
          8.33 per cent for the overall mutual fund
          industry (Source: ICI fact book).
                                                            PORTFOLIOS
              In addition to examining the overall          Fund managers who manage portfolios with
          performance of these narrowly focused             few holdings are conjectured to have a better
          funds, we also segment funds into Winning         understanding of those stocks and, therefore,
          and Losing portfolios in order to see their       are more informed to deliver higher returns
          upside and downside potentials. We then           compared with managers of large-holding,
          examine the funds in a cross-sectional            more diversified portfolios. This would be
          analysis to see which fund characteristics,       the result of following the Warren Buffett
          such as expense ratio, turnover ratio, size,      investment style. The obvious expected
          concentration and load, explain their             benefit to this structure would be higher
          abnormal performance.                             returns, lower transactions costs and perhaps
              In contrast to some of the literature cited   expenses, because there will be fewer stocks
          above, but in agreement with the findings for      to trade and fewer stocks to research.
          the average mutual fund, we find that the             On the other hand, a smaller number
          average, narrowly focused fund under-             of holdings implies less diversification and
          performs market benchmarks on a risk-             higher idiosyncratic risk. Given the convex-
          adjusted basis by about À2.4 per cent per         option-like payoff in fund flows by investors
          year. Despite this finding, there are some         cited by Kacperczyk et al (2005), in which
          phenomenal successes (and failures) within        outstanding fund performers attract huge
          this fund group: the top quartile of Winning      positive cash inflows but poor performers
          portfolios outperforms on a risk-adjusted         do not experience outflows at the same
          basis by approximately 49.2 per cent per year,    intensity, fund managers may be motivated
          whereas the Losing portfolios under-perform       to place excessive bets on a few stocks. The
          by about À38.4 per cent per year. In the          implication is that standard measures of risk
          cross-sectional analysis we find that fund         for these companies should be higher than
          turnover and the concentration of the fund’s      the average mutual fund in the industry,
          assets in its top 10 most heavily weighted        and large losses may occur due to the rapid
          holdings significantly and positively explain      decline in a few stocks.
          Winning performance, whereas fund
          expenses and the fund’s assets in its top 10
          most heavily weighted holdings are the            DATA
          major characteristics that significantly and       We use the Morningstar Principia Pro
          negatively explain Losing performance.            database to first select funds with holdings
              The remainder of the paper is organised       of 10–30 stocks. Although we are interested
          as follows: The next section discusses some       in examining the performance of funds with
          pros and cons of investing in narrowly            small numbers of holdings that may be non-
          focused mutual funds. The subsequent              diversified, we are not interested in all funds
          section describes the data sources and            of this type and certain other types of funds.
          discusses sample characteristics. The later       Therefore, we screened out index funds,


400                    & 2009 Palgrave Macmillan 1470-8272 Journal of Asset Management Vol. 9, 6, 398–408
Do mutual funds with few holdings outperform the market?



international funds, sector funds, specialty                 of 197 funds over the period, consisting of
funds, hybrid funds, bond funds and                          387 yearly fund observations and 4640
quantitative funds. Following Shawky and                     monthly fund observations.
Smith (2005) among others, we include only                      Fund- and manager-specific variables
type A shares in the event that the fund offers              such as turnover ratio, expense ratio, load
multiple share types.                                        charges, the fund’s investment in its top 10
    Monthly returns over the period January                  most heavily weighted holdings, total net
2001–December 2006 are obtained from the                     assets and 12b-1 fees are taken from the
Center for Research in Security Prices                       CRSP mutual fund database and
(CRSP) using Wharton Research Data                           Morningstar Principia Pro database.
Services (WRDS). From these sources we                          Table 1 contains a break-down of the
obtain the returns of our fund sample, the                   firms in our sample into the well-known
S&P 500 composite index, the Fama–French                     nine-box investment style and capitalisation
factors (see Fama and French (1993)), SMB                    diagram, where all definitions are taken from
(the difference in returns between small and                 Morningstar Inc. It is clear from the chart
large capitalisation stocks), HML (the                       that the sample is dominated first by large
difference in returns between high and low                   companies and second by growth companies;
book-to-market stocks), the Carhart                          however, there are some firms from all
momentum factor, MOM (the difference in                      categories.
returns between stocks with high and low                        Table 2 contains annual returns, annual
past returns) and the monthly risk-free                      standard deviations of monthly returns and
return. The resulting sample contains a total                the 6-year average Sharpe ratio for the


Table 1: Distribution of investment style and capitalisation

                Large-Value                  Large-Blend                  Large-Growth


                        31 (15.7%)                   38 (19.3%)                   68 (34.5%)
                Mid-Value                    Mid-Blend                    Mid-Growth


                        11 (5.58%)                   11 (5.58%)                   19 (9.64%)
                Small-Value                  Small-Blend                  Small-Growth


                         5 (2.54%)                   4 (2.03%)                    10 (5.08%)


The table provides a distribution of sample funds based on style/capitalisation. Each box reports the number and
(percentage) of funds in each category. Definitions are obtained from Morningstar Inc.: Large-valuea is defined as
funds that invest primarily in big US firms that are less expensive or growing more slowly than others; Large-blend
funds are portfolios that are fairly representative of the overall large-cap US stock market in size, growth, rates and
price; Large-growth portfolios invest primarily in big US firms that are projected to grow faster than other large-cap
stocks; Mid-valueb are portfolios that primarily invest in medium-sized firms or a mix of small, medium and large
firms; Mid-blend are portfolios that invest in various sizes and styles of medium-sized firms and tend to stay away
from high-priced growth stocks; Mid-growth funds primarily invest in mid-size firms that tend to grow faster than
other mid-cap stocks; Small-valuec funds are portfolios that primarily invest in small US companies with valuations
and growth rates below other small-cap peers; Small-blend funds tend to invest in various sizes and styles of small
size firms or may use a mix of holdings with valuations and growth rates close to the small-cap averages; Small-
growth tend to invest in faster growing companies whose shares are at the lower end of the market capitalisation
range.
a
 Large stocks are defined as firms with market capitalisation of over $10 billion.
b
  Mid stocks referred to firms with market capitalisation of between $2 billion and $10 billion.
c
 Small stocks are firms with capitalisation of between $300 million and $2 billion.




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Kaushik and Barnhart



          Table 2: Annual returns, standard deviations and the average Sharpe ratios for sample firms and the S&P 500
          index
                                          Sample firms                                  S&P composite index
          Year
                             Return (%)       Standard deviation (%)         Return (%)       Standard deviation (%)

          2001                À16.10                  30.40                   À12.02                  19.01
          2002                À25.34                  22.42                   À24.35                  19.74
          2003                 29.44                  14.70                    24.22                  10.91
          2004                  7.51                  13.35                     8.88                   6.95
          2005                  2.57                  14.18                     3.24                   7.49
          2006                  8.63                  11.50                    12.99                   5.46
          Average               1.12                  17.76                     2.16                  11.59
          Sharpe ratio                       0.1378                                          0.4276




          sample funds and the S&P 500 index. From               model used in the literature by Carhart
          this table we see that the average fund in             (1997), among others. This model controls
          the sample outperformed the S&P 500                    for systematic risk and investment style
          in only one year, that is, 2003, and had a             factors and is used commonly in the
          larger standard deviation of returns in every          literature. The model is
          year in the study. The average annual return
          and standard deviation over the 2001–2006                    rit À rft ¼ ai þ b1i ÂRMRFt þ b2i ÂSMBt
          period for the S&P 500 is 2.16 and 11.59                               þ b3i ÂHMLt þb4i ÂMOMt þ eit
          per cent, respectively, whereas those for the                                                           (1Þ
          sample funds are 1.12 and 17.76 per cent.
          Thus, consistent with our expectations for             where ritÀrft is the excess return on fund i in
          narrowly focused funds, their risk as                  month t minus the corresponding monthly
          measured by standard deviation is greater              Treasury bill rate; ai is the monthly measure
          than that for the S&P. However, the lower              of abnormal performance (alpha); RMRFt
          average return for small holding funds was             the excess return on the market, that is,
          not expected. The Sharpe ratios, calculated            the S&P 500 composite index return minus
          as the return from the given portfolio minus           the corresponding monthly Treasury bill
          the Treasury-bill rate all divided by the              rate; bi is Beta, the measure of systematic
          standard deviation of returns, provide a               risk; SMBt the difference in returns between
          measure of excess return per unit of risk.             small and large capitalisation stocks; HMLt
          Here we see that the S&P 500 has delivered             the difference in returns between high and
          approximately triple the excess return per             low book-to-market stocks; and MOMt the
          unit of risk than the sample firms. Although            difference in returns between stocks with
          these results indicate that narrowly focused           high and low past returns.
          funds may not deliver the returns expected of              This model is estimated over the entire
          more risky investments, we show below that             2001–2006 period, consisting of 72 months
          some of these funds reward investors                   of data or 4640 monthly fund observations.
          handsomely.                                            The intercept in the model, ai, is the
                                                                 abnormal performance in excess of risk
                                                                 premiums associated with the market, size,
          METHODOLOGY                                            book-to-market and momentum factors.
          In order to investigate the abnormal                   A positive alpha indicates that fund managers
          performance of the funds in our sample more            in the sample are able to outperform the
          thoroughly than with simple Sharpe ratios,             market on a risk and investment style
          we first estimate the standard four-factor              adjusted basis, whereas a negative alpha


402                      & 2009 Palgrave Macmillan 1470-8272 Journal of Asset Management Vol. 9, 6, 398–408
Do mutual funds with few holdings outperform the market?



indicates the opposite, and we examine these        expenses are negatively related to abnormal
below.                                              performance, and Carhart has documented a
   Once the Carhart (1997) four-factor              negative association between loads and
model is estimated, the parameters b1, y, b4        performance. However, these authors differ
are then used to calculate the alphas using         in their findings regarding turnover. Carhart
the following equation:                             (1997) finds a negative effect of turnover on
                                                    the average mutual fund’s performance,
   ait ¼ rit À rft À b1i ÂRMRFt À b2i ÂSMBt         whereas Kacperczyk et al (2005) and
          À b3i ÂHMLt À b4i ÂMOMt                   Wermers (2000) find a positive effect of
                                             (2Þ    turnover on abnormal performance. The
                                                    positive effect of turnover on abnormal
The alphas are subsequently used in cross-          performance is attributed by Wermers (2000)
section regressions using the model in (3) in       as the result of managers acting on
an attempt to investigate the abnormal              information and having superior stock
performance across the sample funds using           picking skills.
fund-specific characteristics. Following the             We examine both the performance results
existing literature, we estimate the following      in model (1) and the cross-sectional
model on a monthly basis across all funds           regression results in model (3) over the entire
available in each month of the sample:              sample period, as well as in the top and
                                                    bottom quartiles of the sample, sorted by
  ait ¼ b0 þ b1 ÂExpensesit
                                                    excess return (fund return minus T-bill
        þ b2 ÂLoadit þ b3 ÂSizeit                   return). This, of course, results in estimating
         þ b4 ÂTtopit þ b5 ÂTurnoverit              two distinct regression models, representing
         þ uit                               ð3Þ    two different regimes, one for the top
                                                    quartile of excess returns (Winners) and
where Expensesit is total annual management         the other for the bottom quartile (Losers).
and administrative expenses including 12b-1         We chose quartiles for Winners and Losers
fees divided by the average total net assets of     arbitrarily based on similar segmentations
fund i at time t; Loadit is the total of            of firms reported in the literature.
maximum front-end and deferred sales                Alternatively, we could have chosen them
charges as per cent of the total net assets of      using a regime switching or threshold
fund i at time t; Sizeit the natural log of total   model, using panel data developed by
net assets of fund i at time t; Turnoverit the      Hansen (1999), in which the regime break
minimum (of aggregated sales or aggregated          points are estimated along with other
purchases of securities), divided by the            model parameters.8 Additionally, this
average 12-month total net assets of the fund,      segmentation into Winners and Losers
also used as a proxy for transaction costs          reduces the number of fund months in
associated with rebalancing the portfolio; and      each of these quartiles to roughly 1000
Ttopit is per cent of the fund’s total net assets   observations, after months in which
in its top 10 most heavily weighted holdings        independent variable data points were not
and is used as a proxy for concentration.           available are eliminated. Although this
   Note that all the variables above with the       reduction in sample size to the approximate
exception of Size are divided by 12 to put          1000 observations in each regression is still
them on the same measurement basis as the           relatively large by conventional standards,
dependent variable, which is the monthly            it is small by mutual fund standards, where
alpha.                                              the typical regression may contain thousands
   Previous research by Carhart (1997) and          or tens of thousands of fund month
Kacperczyk et al (2005) has shown that              observations.


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Kaushik and Barnhart



          EMPIRICAL RESULTS                                 Table 3: Abnormal performance: (a) all funds;
                                                            (b) Winner quartile and (c) Loser quartile
                                                            Variable                        Estimate         t-value
          Performance
                                                            Panel a
          Regression results from equation (1), the         a                               À0.002          À3.52***
          Carhart (1997) four-factor model, are             RMRF                             1.075          59.1***
                                                            SMB                              0.288          15.0***
          reported in Table 3, panels a–c. The results in   HML                             À0.118          À5.02***
          panel a, for all funds in the sample, indicate    MOM                              0.081           5.89***
                                                            Adj. R2                          0.591            —
          that, on average, small portfolios do not         Number of fund months            4640             —
          outperform the S&P 500 index after
                                                            Panel b
          controlling for small stocks, book-to-market      a                                0.041          20.15***
          and momentum. Results reported in panel a         RMRF                             0.421           9.16***
                                                            SMB                              0.130           3.0***
          show that monthly abnormal performance of         HML                              0.018           0.38
          small portfolios relative to the S&P 500 index    MOM                             À0.105          À4.89***
          is À0.002 (À2.4 per cent per annum) before        Adj. R2                          0.178            —
                                                            Number of fund months           1,159             —
          considering expenses and loads. All the
          coefficients in the regression are highly          Panel c
                                                            a                               À0.032         À19.28***
          significant. Although the results above            RMRF                             0.770          16.0***
          indicate that smaller funds are more risky        SMB                              0.094           2.29**
                                                            HML                             À0.313          À8.07***
          than the S&P index, the beta coefficient           MOM                             À0.040          À1.13
          from panel a indicates that the funds are only    Adj. R2                          0.458            —
                                                            Number of fund months           1,160             —
          marginally more risky in terms of systematic
          risk, with a beta slightly greater than 1.0.      The table summarises regression results for the
                                                            Carhart (1997) four-factor model showing the abnormal
          The positive coefficients on SMB and MOM           performance of sample firms, a, relative to market and
          indicate that small cap companies and             style benchmarks. Results are obtained from
                                                            regressing the excess return of each fund (the monthly
          momentum stocks increase abnormal                 fund return minus the corresponding month T-bill rate)
          performance, whereas the negative                 against the excess return of the market, RMRF, the
                                                            Fama–French factors, SMB, which is the difference in
          coefficient on HML indicates that growth           returns between small and large capitalisation stocks,
          stocks tend to detract.                           HML, which is the difference in returns between high
             It is intriguing to examine the                and low book-to-market stocks, and MOM, which is
                                                            the difference in returns between stocks with high and
          performance of the top and bottom                 low past returns.
          performers within the overall sample.             *, **, *** indicate statistical significance at the 10, 5 and
                                                            1 per cent levels, respectively.
          Therefore, we divide the sample into
          Winners and Losers, defined as those funds
          in the top and bottom quartiles based on
          excess return (monthly fund return minus          (5.3 per cent), or 74.4 per cent annually,
          corresponding month T-bill return). Each          whereas for the Loser group it is À6.4
          year from 2001 to 2006, we sort the entire        per cent (À4.7 per cent), or À76.8 per cent
          sample of monthly fund excess returns,            annually. The four-factor model results for
          labelling the top quartile Winners and the        Winner and Loser portfolios are reported in
          bottom quartile Losers. We then re-estimate       Table 3, panels b and c, respectively. Results
          the Carhart (1997) four-factor model using        from the alpha coefficients indicate that the
          these two sub-samples.                            average Winner fund outperforms the S&P
             As one would expect for small, highly          500 index on a risk-adjusted basis of 410
          concentrated portfolios, the differences in       basis points per month (49.2 per cent per
          the two quartiles are large. The Winner           annum), whereas Losers earn À320 (À38.4
          group has a mean (median) monthly excess          per cent per annum). The larger positive
          return over the entire period of 6.2 per cent     coefficient on SMB indicates that smaller


404                    & 2009 Palgrave Macmillan 1470-8272 Journal of Asset Management Vol. 9, 6, 398–408
Do mutual funds with few holdings outperform the market?



companies add more to Winner fund                               show that abnormal performance, a, is
abnormal performance, and the negative                          significantly and directly associated with
coefficient on HML indicates that growth                         turnover and the percentage of total net
stocks reduce excess returns in the Loser                       assets invested in the fund’s top 10 most
funds.                                                          heavily weighted holdings. Investment in the


Cross-section regressions
We examine the funds in the sample using                        Table 5: Cross-sectional regressions on fund
                                                                characteristics: (a) Winner quartile and (b) Loser
cross-section regressions to assess which                       quartile
fund-specific characteristics explain the
                                                                Variable                         Estimate         T Value
abnormal performance. The variables used to
explain the abnormal performance are those                      (a)
                                                                Intercept                        À0.013           À2.64***
contained in model (3) above.                                   Expenses                          0.672            0.79
   Table 4 presents means and medians for                       Load                             À0.243           À0.63
the variables used in the cross-sectional                       Ttop                              0.488            5.44***
                                                                Turnover                          0.021            3.94***
regressions on a year-by-year basis. Several                    Size                             À0.0002          À0.47
items are noteworthy. First, the average size,                  Number of fund months             1,015             —
                                                                Adj. R2                           0.0398            —
in terms of total net assets, has increased over
time. Second, the percentage of the fund                        (b)
                                                                Intercept                         0.004            0.79
invested in the top 10 most heavily weighted                    Expenses                         À2.761           À4.63***
holdings is quite large and stays relatively                    Load                              0.844            2.08**
                                                                Ttop                             À0.429           À5.09***
constant at about 55 per cent. Finally, the                     Turnover                         À0.034           À6.24***
average number of holdings in the funds has                     Size                              0.0022           4.37***
increased slightly, whereas turnover has                        Number of fund months             1,009             —
                                                                Adj. R2                           0.1351            —
declined over time.
                                                                The table reports results of model (3) regressing
   The cross-sectional results for Winner and                   abnormal performance, a, against fund characteristics
Loser portfolios, reported in Tables 5a and b,                  for Winner and Loser quartiles. Variable descriptions
                                                                are given in Table 4.
respectively, show a sharp contrast between                     *, **, *** indicate statistical significance at the 10, 5 and
the two. The results for Winners in Table 5a                    1 per cent levels, respectively.



Table 4: Descriptive statistics
Variable                  2001              2002             2003             2004            2005               2006

Size (in millions)    $49.23; $14.65   $120.65; $47.88   $89.93; $25.2   $107.66; $20     $116.19; $19.7    $128.49; $36.45
Number of stocks       23.85; 24         24.35; 25        24.65; 25        24.39; 25        24.68; 25         25.98; 27
Ttop                   58.08; 57.12      56.88; 55.68     54.24; 51.48     54.24; 52.56     57.96; 56.16      54.72; 53.52
(top 10 holdings %)
Expense ratio (%)       1.73; 1.45        1.54; 1.44       1.98; 1.45        1.80; 1.49      1.83; 1.49        1.67; 1.35
Load (%)                2.25; 0.25        1.78; 0.25       2.23; 0.25        2.25; 0.25      1.97; 0.00        1.83; 0.00
12b-1 fee (%)           0.125; 0.00       0.24; 0.25       0.19; 0.16        0.21; 0.00      0.15; 0.00        0.18; 0.00
Turnover ratio (%)      177; 81.48       160; 57.96       97.44; 53.04     111.72;44.04    106.68; 63.96      84.48; 58.92
Observations             73; 874           54; 648          71; 852          63; 756         57; 684            69; 828

The table provides descriptive statistics of some of the key fund-specific variables of sample funds. For each
variable, the mean value is followed by median value. Size is the annual total net assets under management and
reported in millions of dollars; Number of stocks is the average number of stocks held by the funds during the year;
Ttop is the percentage of the fund’s total net assets invested in its top 10 weighted holdings; Expense ratio is
operating expenses, management fees, 12b-1 fees, administrative fees and all other asset-based costs incurred
by the fund as a percentage of total net assets; Load is the sum of fund’s front-end and deferred sales charges;
12b-1 fee is the annual charge deducted from fund assets to pay for distribution and marketing expenses; Turnover
ratio is the minimum (of aggregated sales or aggregated purchases of securities), divided by the average 12-month
total net assets of the fund. Yearly fund observations are followed by fund month observations.




           & 2009 Palgrave Macmillan 1470-8272 Journal of Asset Management Vol. 9, 6, 398–408                                  405
Kaushik and Barnhart



          top 10 most heavily weighted holdings            but significant negative impact on Loser
          (Ttop) is also used as a proxy for               abnormal performance.
          concentration, which, some have argued,             In contrast to the results for Winner
          are also the best ideas of fund managers.        portfolios, the coefficients on load and size
          The 0.488 coefficient on Ttop implies that        have positive and significant effects on
          for every 100 basis-point increase in funds      Loser portfolio abnormal performance.
          devoted to the top 10 most heavily held          Load has the largest effect, with a coefficient
          companies, the annual abnormal return            of 0.844, implying an 84 basis-point increase
          increases by 48.8 basis points. This indicates   in Loser portfolio abnormal performance
          that fund managers in Winner portfolios          for every 100-point increase in Loads.
          are making large bets on good stocks.            Although this may seem counter-intuitive
          A smaller relationship is observed between       and in contrast to the results reported in
          abnormal performance and the turnover            Chordia (1996), Carhart (1997) has shown
          ratio. The turnover ratio coefficient of          that loads, especially back-end loads and
          0.021 suggests that for every 100 basis-point    redemption fees, dissuade investors from
          increase in turnover, annual abnormal            frequently redeeming their mutual fund
          performance increases by 2.1 basis points.       positions, thereby allowing funds with
          A positive relationship between turnover         loads to keep less cash and invest more in
          ratio and abnormal performance is                higher return stocks. Thus, higher loads
          consistent with the notion that the benefits      may in fact increase abnormal performance.
          exceed the trading costs associated with         The 0.0022 coefficient on size indicates
          turnover if rebalancing of the portfolio is      that for every increase in total net assets
          a function of information arrival and not        under management of US$1 million,
          churning activities. Studies by Chevalier        abnormal performance for Loser funds
          and Ellison (1999) and Wermers (2000)            increases by a paltry amount of $2200
          demonstrate that turnover ratios can have        or relatively small 0.22 basis points.
          a positive and significant impact on the
          performance of actively managed mutual
          funds.                                           CONCLUSIONS
              Results reported in Table 5b for Loser       This paper investigates the performance of
          funds show that expenses, turnover and Ttop      mutual funds that hold a small number of
          all negatively affect abnormal performance,      stocks in their portfolio. Following
          with expenses having a very large negative       definitions in the financial press and in
          effect. The À2.76 coefficient on expenses         mutual fund-specific investment objective
          implies that for every 100 basis-point           statements, we limit our investigation to
          increase in Loser fund expenses, annual          funds that are concentrated in 10–30 stocks.
          abnormal performance declines by an              Our results indicate that, on average, fund
          excessive 276 basis points. Thus, expenses       portfolios with few holdings do not
          take a large toll on Loser portfolio returns.    outperform the S&P 500 index. On average,
          Likewise, the À0.429 coefficient on Ttop          small portfolios under-perform the market
          implies that for every 100 basis-point           on a risk and investment style adjusted basis
          increase in the Loser fund’s investment in       by about À20 basis points per month or
          its top 10 most heavily weighted holdings,       À2.40 per cent per year.
          annual abnormal performance drops by                 We also find that there is a sharp contrast
          approximately 43 basis points. Thus Loser        between the performance of Winner and
          portfolio managers are making large bets         Loser portfolios. Screening on excess return,
          that affect their portfolios, but in poorly      that is, fund return minus the T-bill rate, we
          performing stocks. Turnover also has a small     define Winners as funds in the top quartile


406                    & 2009 Palgrave Macmillan 1470-8272 Journal of Asset Management Vol. 9, 6, 398–408
Do mutual funds with few holdings outperform the market?



and Losers as those in the bottom quartile.                              likeyToo much of a good thing can be wonderful’. Source:
                                                                         www.brainyquote.com.
On average, Winner portfolios outperform                            4.   Focus funds have big potential, if you dare. USA Today, 11
the S&P composite index by 410 basis points                              November 2002.
per month or an astounding 49.2 per cent                            5.   The following fund objective statement of the Janus 20
                                                                         fund taken from the Fidelity website www.fideilty.com is
per annum, whereas Losers under-perform                                  typical of the fund we are interested in: The fund seeks
by 320 or À38.4 per cent per annum over                                  long-term capital appreciation. The fund is non-diversified
the same period.                                                         and intends to achieve its objective by concentrating its
                                                                         investments in the equity securities of a smaller number of
   To investigate this dramatic difference
                                                                         companies than more diversified funds. Typically invests in
between Winner and Loser portfolios, we                                  15 to 35 firms at a time. The fund may invest in sectors or
use fund-specific characteristics in cross-                               foreign issuers.
sectional regressions to explain the abnormal                       6.   The Financial Dictionary and investopedia define focus
                                                                         funds as those that contain a small number of stocks, in
performance from each group. The results                                 general: (a) those who hold a portfolio concentrated in
indicate that Winner portfolio abnormal                                  approximately 10–30 stocks, (b) those who concentrate
performance is positively and significantly                               their holdings within 1–3 sectors and (c) those who hold a
                                                                         large number of different stocks, but a large portion of their
related to the turnover ratio and the                                    total portfolio value is concentrated in a very small number
percentage of the fund’s assets invested in                              of stocks. (http://financial-dictionary.thefreedictionary.
their top 10 most heavily weighted holdings.                             com/Focused+Fund; http://www.investopedia.com/
Results for Loser portfolios show that                                   terms/f/focusedfund.asp)
                                                                         The Wall Street Journal defines focus funds as concentrated
abnormal performance deteriorates                                        portfolios that tend to make big bets on just a few
significantly with turnover, concentration                                dozen stocks versus two to three times that amount
and expenses. On the other hand, Loser                                   for a more diversified offering (Wall Street Journal,
                                                                         28 November 2006).
portfolio abnormal performance is positively                        7.   According to the National Bureau of Economic Research
related to Load and Size.                                                (NBER), the US economy underwent a recession in
                                                                         March 2001 that ended in October of 2001. NBER
                                                                         determined that the trough, which is also known as the
                                                                         beginning of the expansion period, started in November
NOTES                                                                    of 2001.
1. The funds analysed in these studies are characterised as         8.   Hansen (1999) proposes estimating model parameters
   large, broadly diversified funds from various investment               and the threshold, g, using least squares. The overall
   styles that exclude sector funds, international funds, index          sample is then divided into regimes based on whether
   funds, quant funds and bond funds. The benchmarks                     the threshold variable, qi,t (or fund performance in our
   used to calculate risk-adjusted excess returns are those              case) is smaller or larger than the computed threshold g.
   used in this study and consist of the return on the S&P               The value of g is computed with the restriction that a
   500 index, the Fama–French HML and SMB factors                        minimum percentage of observations must lie in each
   and Carhart’s Momentum factor, which are all defined                   regime. Hansen provides programs to run his analysis on
   below.                                                                his website.
2. ‘A fund with few holdings, called a focus fund, has a better
   chance of beating the S&P 500, but it’s more likely that
   one or two bad stocks can smack shareholders senseless’.
   Source: Focus funds have big potential, if you dare. USA         REFERENCES
   Today, 11 November 2002.                                         Berk, J. B. and Green, R. C. (2004) Mutual fund flows and
   ‘Highly selective funds, with limited shares in the portfolio,      performance in rational markets. Journal of Political Economy
   have become a popular way for investors to maximise their           112(6): 1269–1295.
   chances of beating lackluster returns from the stock             Carhart, M. M. (1997) On persistence in mutual fund
   market’. Source: Focus funds: A way of beating lacklustre           performance. Journal of Finance 52: 57–82.
   stock returns. Financial Times, 29 July 2005.                    Chen, J., Hong, H., Huang, M. and Kubik, J. D. (2004) Does
3. Two quotes attributed to Mr Buffett summarise his                   fund size erode mutual fund performance? The role of
   investment philosophy: ‘If you are a know-something                 liquidity and organization. American Economic Review
   investor, able to understand business economics and to find          94: 1276–1302.
   five to ten sensibly priced companies that possess important      Chevalier, J. and Ellison, G. (1999) Are some mutual fund
   long-term competitive advantage, conventional                       managers better than others? Cross-sectional patterns
   diversification makes no sense for you’. Source: Hagstrom            in behavior and performance. Journal of Finance LIV:
   (1999). Additionally, ‘Wide diversification is only required         875–899.
   when investors do not understand what they are doing.            Chordia, T. (1996) The structure of mutual fund charges.
   Why not invest your assets in the companies you really              Journal of Financial Economics 41: 3–39.




           & 2009 Palgrave Macmillan 1470-8272 Journal of Asset Management Vol. 9, 6, 398–408                                             407
Kaushik and Barnhart



          Fama, E. F. and French, K. R. (1993) Common risk factors in     Nanda, V., Wang, J. Z. and Zheng, L. (2004) Family
            the return on bonds and stocks. Journal of Financial             values and the star phenomenon: Strategies of mutual
            Economics 33: 3–53.                                              fund families. Review of Financial Studies 17:
          Hagstrom, R. G. (1999) The Warren Buffet Portfolio: Mastering      667–698.
            the Power of the Focus Investment Strategy. New York: John    Shawky, H. A. and Smith, D. M. (2005) Optimal
            Wiley & Sons.                                                    number of stock holdings in mutual fund portfolios
          Hansen, B. E. (1999) Threshold effects in non-dynamic              based on market performance. The Financial Review
            panels: Estimation, testing, and inference. Journal of           40: 481–495.
            Econometrics 93: 345–368.                                     Wermers, R. (2000) Mutual fund performance: An
          Kacperczyk, M., Sialm, C. and Zheng, L. (2005) On the              empirical decomposition into stock-picking talent, style,
            industry concentration of actively managed equity mutual         transaction costs, and expenses. Journal of Finance
            funds. Journal of Finance 60: 1983–2011.                         55: 1655–1703.




408                         & 2009 Palgrave Macmillan 1470-8272 Journal of Asset Management Vol. 9, 6, 398–408
Do funds with few holdings outperform kaushik

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Do funds with few holdings outperform kaushik

  • 1. Original Article Do mutual funds with few holdings outperform the market? Received (in revised form): 24th October 2008 Abhay Kaushik is an assistant professor of finance at Radford University, Virginia. He received his MS in Economics and PhD in Finance from Florida Atlantic University. His main areas of research include financial markets and exchange rate. Scott W. Barnhart is an associate professor of finance at Florida Atlantic University. He received his MS in Economics from Florida State University and PhD in Economics from Texas A&M University. Professor Barnhart is the Programme Director of both the MBA with Financial Planning Track and the Certified Financial Plannert Certificate Programme at Florida Atlantic University. Correspondence: Abhay Kaushik, Department of Accounting, Finance and Business Law, Radford University, Virginia 24142, USA E-mail: akaushik@radford.edu ABSTRACT This paper investigates the performance of mutual funds that hold a small number of stocks in their portfolio. Similar to results reported in the literature for the average diversified mutual fund, our results indicate that the average small holding fund does not outperform the S&P 500 index. On average, small holding funds under-perform the market on a risk and investment style adjusted basis by about À20 basis points per month, or by À2.40 per cent per year. We also find that there is a sharp contrast between the performance of Winner and Loser portfolios. On average, Winner portfolios outperform the S&P composite index by 410 basis points per month, or an astounding 49.2 per cent per annum, whereas Losers under-perform by 320, or À38.4 per cent per annum, over the same period. Cross sectional regressions indicate that Winner portfolio abnormal performance is positively and significantly related to fund turnover and the per cent of the fund’s assets invested in their top 10 most heavily weighted holdings. Results for Loser portfolios show that abnormal performance deteriorates significantly with turnover, concentration and expenses, but rises with Load and Size. Journal of Asset Management (2009) 9, 398–408. doi:10.1057/jam.2008.39 Keywords: mutual fund performance; expense ratio; turnover ratio; holdings INTRODUCTION underperformance of non-stock holdings. Recent academic research on actively Moreover, Carhart (1997) shows that risk- managed mutual fund performance has adjusted net returns from the average mutual shown that the average well-diversified fund are negatively correlated with fund mutual fund under-performs passive expenses and portfolio turnover, both of market benchmarks after adjusting for risk, which have increased over time (Wermers expenses and trading costs (see, for example, (2000)).1 Wermers (2000) among others). The In contrast to the results reported in underperformance found is largely studies of broadly diversified mutual funds, explained by mutual fund expenses and the financial press has frequently reported transactions costs, and to a lesser extent the that small, more concentrated or focused 398 & 2009 Palgrave Macmillan 1470-8272 Journal of Asset Management Vol. 9, 6, 398–408 www.palgrave-journals.com/jam/
  • 2. Do mutual funds with few holdings outperform the market? portfolios, while perhaps not fully in a small number of companies may be in diversified, may be a better investment bet.2 conflict with the common recommendation This is exactly the style of investing of diversification, it is consistent with Warren advocated by Warren Buffett and used in his Buffett’s huge success and the notion that phenomenally successful Berkshire Hathaway some fund managers have informational fund.3 Recent research in this area has advantages over others. By holding fewer proceeded down to two related paths: the stocks, as opposed to one or two hundred, first investigates scale economies or the effect with larger percentages of the fund’s assets of fund size on performance and the other concentrated among fewer companies, fund examines how portfolio concentration affects managers can take more aggressive positions fund performance. in companies that they are more familiar In the first strand examining scale with, thereby magnifying potential gains economies, Berk and Green (2004) (and losses). Indeed, in the late 1990s, when demonstrate in their model that some stock market index returns were driven empirical regularities found in mutual fund largely by a few highly valued companies in research, such as fund flow following the index, mutual fund companies performance, and so on, result when they introduced a number of new funds with assume that mutual fund manager costs are concentrated holdings.4 an increasing function of the amount of These arguments raise a simple yet funds under management. They assume that important question: Do mutual funds with ‘‘managerial talent is a scarce resource and is fewer and more concentrated holdings dissipated as the scale of operations increases’’. outperform broader based market Empirically, Chen et al (2004) document benchmarks, or do they suffer the same Berk and Green’s assumption, finding that underperformance of the average mutual risk and fee-adjusted excess returns are fund cited above? In this study we examine negatively related to size, measured by the the performance of mutual fund portfolios total net assets under management. In related that hold a small number of stocks. As a work, Shawky and Smith (2005) find a consequence of holding few companies, quadratic relationship between risk-adjusted these funds also have concentrated holdings. fund returns and the number of fund In a fashion similar to the existing literature, holdings, suggesting that there is a trade off we compare the performance of these funds between diversification benefits and with passive portfolio benchmarks like the increased transactions and monitoring costs. S&P 500 index. In the second strand investigating fund As no mutual fund trade association, such concentration, Kacperczyk et al (2005) show as the Investment Company Institute (ICI), that mutual funds that concentrate their or investment research firm, such as holdings within a few industries outperform Morningstar Inc., has defined a fund passive benchmarks by 1.58 per cent per year category with the fund characteristics we after controlling for risk and style differences. wish to investigate, that is, funds with a small They attribute their findings to superior number of concentrated holdings, we rely on stock selection by managers of concentrated definitions reported in the financial press and funds. Similarly, Nanda et al (2004) find that in fund objective statements taken from fund families that have fewer or more internet sources.5 Specifically, this study narrowly focused investment strategies defines a small, concentrated portfolio as a outperform families that have a wider variety mutual fund with holdings of 10–30 stocks.6 of strategies. We investigate the performance of these Although the argument in favour of funds over the recent 2001–2006 year holding a fund whose assets are concentrated period, a period that includes both recession & 2009 Palgrave Macmillan 1470-8272 Journal of Asset Management Vol. 9, 6, 398–408 399
  • 3. Kaushik and Barnhart and expansion.7 During this period investors section discusses the methodology and the have shown great interest in more narrowly penultimate section presents the empirical focused, non-diversified funds, such as sector results. The last section concludes the funds and exchange-traded funds. A case in paper. point, over the period of study, the growth in the total net assets under management of the funds we investigate grew at a compound THE PROS AND CONS OF annual rate of 21.44 per cent, versus a rate of HOLDING SMALL DIVERSIFIED 8.33 per cent for the overall mutual fund industry (Source: ICI fact book). PORTFOLIOS In addition to examining the overall Fund managers who manage portfolios with performance of these narrowly focused few holdings are conjectured to have a better funds, we also segment funds into Winning understanding of those stocks and, therefore, and Losing portfolios in order to see their are more informed to deliver higher returns upside and downside potentials. We then compared with managers of large-holding, examine the funds in a cross-sectional more diversified portfolios. This would be analysis to see which fund characteristics, the result of following the Warren Buffett such as expense ratio, turnover ratio, size, investment style. The obvious expected concentration and load, explain their benefit to this structure would be higher abnormal performance. returns, lower transactions costs and perhaps In contrast to some of the literature cited expenses, because there will be fewer stocks above, but in agreement with the findings for to trade and fewer stocks to research. the average mutual fund, we find that the On the other hand, a smaller number average, narrowly focused fund under- of holdings implies less diversification and performs market benchmarks on a risk- higher idiosyncratic risk. Given the convex- adjusted basis by about À2.4 per cent per option-like payoff in fund flows by investors year. Despite this finding, there are some cited by Kacperczyk et al (2005), in which phenomenal successes (and failures) within outstanding fund performers attract huge this fund group: the top quartile of Winning positive cash inflows but poor performers portfolios outperforms on a risk-adjusted do not experience outflows at the same basis by approximately 49.2 per cent per year, intensity, fund managers may be motivated whereas the Losing portfolios under-perform to place excessive bets on a few stocks. The by about À38.4 per cent per year. In the implication is that standard measures of risk cross-sectional analysis we find that fund for these companies should be higher than turnover and the concentration of the fund’s the average mutual fund in the industry, assets in its top 10 most heavily weighted and large losses may occur due to the rapid holdings significantly and positively explain decline in a few stocks. Winning performance, whereas fund expenses and the fund’s assets in its top 10 most heavily weighted holdings are the DATA major characteristics that significantly and We use the Morningstar Principia Pro negatively explain Losing performance. database to first select funds with holdings The remainder of the paper is organised of 10–30 stocks. Although we are interested as follows: The next section discusses some in examining the performance of funds with pros and cons of investing in narrowly small numbers of holdings that may be non- focused mutual funds. The subsequent diversified, we are not interested in all funds section describes the data sources and of this type and certain other types of funds. discusses sample characteristics. The later Therefore, we screened out index funds, 400 & 2009 Palgrave Macmillan 1470-8272 Journal of Asset Management Vol. 9, 6, 398–408
  • 4. Do mutual funds with few holdings outperform the market? international funds, sector funds, specialty of 197 funds over the period, consisting of funds, hybrid funds, bond funds and 387 yearly fund observations and 4640 quantitative funds. Following Shawky and monthly fund observations. Smith (2005) among others, we include only Fund- and manager-specific variables type A shares in the event that the fund offers such as turnover ratio, expense ratio, load multiple share types. charges, the fund’s investment in its top 10 Monthly returns over the period January most heavily weighted holdings, total net 2001–December 2006 are obtained from the assets and 12b-1 fees are taken from the Center for Research in Security Prices CRSP mutual fund database and (CRSP) using Wharton Research Data Morningstar Principia Pro database. Services (WRDS). From these sources we Table 1 contains a break-down of the obtain the returns of our fund sample, the firms in our sample into the well-known S&P 500 composite index, the Fama–French nine-box investment style and capitalisation factors (see Fama and French (1993)), SMB diagram, where all definitions are taken from (the difference in returns between small and Morningstar Inc. It is clear from the chart large capitalisation stocks), HML (the that the sample is dominated first by large difference in returns between high and low companies and second by growth companies; book-to-market stocks), the Carhart however, there are some firms from all momentum factor, MOM (the difference in categories. returns between stocks with high and low Table 2 contains annual returns, annual past returns) and the monthly risk-free standard deviations of monthly returns and return. The resulting sample contains a total the 6-year average Sharpe ratio for the Table 1: Distribution of investment style and capitalisation Large-Value Large-Blend Large-Growth 31 (15.7%) 38 (19.3%) 68 (34.5%) Mid-Value Mid-Blend Mid-Growth 11 (5.58%) 11 (5.58%) 19 (9.64%) Small-Value Small-Blend Small-Growth 5 (2.54%) 4 (2.03%) 10 (5.08%) The table provides a distribution of sample funds based on style/capitalisation. Each box reports the number and (percentage) of funds in each category. Definitions are obtained from Morningstar Inc.: Large-valuea is defined as funds that invest primarily in big US firms that are less expensive or growing more slowly than others; Large-blend funds are portfolios that are fairly representative of the overall large-cap US stock market in size, growth, rates and price; Large-growth portfolios invest primarily in big US firms that are projected to grow faster than other large-cap stocks; Mid-valueb are portfolios that primarily invest in medium-sized firms or a mix of small, medium and large firms; Mid-blend are portfolios that invest in various sizes and styles of medium-sized firms and tend to stay away from high-priced growth stocks; Mid-growth funds primarily invest in mid-size firms that tend to grow faster than other mid-cap stocks; Small-valuec funds are portfolios that primarily invest in small US companies with valuations and growth rates below other small-cap peers; Small-blend funds tend to invest in various sizes and styles of small size firms or may use a mix of holdings with valuations and growth rates close to the small-cap averages; Small- growth tend to invest in faster growing companies whose shares are at the lower end of the market capitalisation range. a Large stocks are defined as firms with market capitalisation of over $10 billion. b Mid stocks referred to firms with market capitalisation of between $2 billion and $10 billion. c Small stocks are firms with capitalisation of between $300 million and $2 billion. & 2009 Palgrave Macmillan 1470-8272 Journal of Asset Management Vol. 9, 6, 398–408 401
  • 5. Kaushik and Barnhart Table 2: Annual returns, standard deviations and the average Sharpe ratios for sample firms and the S&P 500 index Sample firms S&P composite index Year Return (%) Standard deviation (%) Return (%) Standard deviation (%) 2001 À16.10 30.40 À12.02 19.01 2002 À25.34 22.42 À24.35 19.74 2003 29.44 14.70 24.22 10.91 2004 7.51 13.35 8.88 6.95 2005 2.57 14.18 3.24 7.49 2006 8.63 11.50 12.99 5.46 Average 1.12 17.76 2.16 11.59 Sharpe ratio 0.1378 0.4276 sample funds and the S&P 500 index. From model used in the literature by Carhart this table we see that the average fund in (1997), among others. This model controls the sample outperformed the S&P 500 for systematic risk and investment style in only one year, that is, 2003, and had a factors and is used commonly in the larger standard deviation of returns in every literature. The model is year in the study. The average annual return and standard deviation over the 2001–2006 rit À rft ¼ ai þ b1i ÂRMRFt þ b2i ÂSMBt period for the S&P 500 is 2.16 and 11.59 þ b3i ÂHMLt þb4i ÂMOMt þ eit per cent, respectively, whereas those for the (1Þ sample funds are 1.12 and 17.76 per cent. Thus, consistent with our expectations for where ritÀrft is the excess return on fund i in narrowly focused funds, their risk as month t minus the corresponding monthly measured by standard deviation is greater Treasury bill rate; ai is the monthly measure than that for the S&P. However, the lower of abnormal performance (alpha); RMRFt average return for small holding funds was the excess return on the market, that is, not expected. The Sharpe ratios, calculated the S&P 500 composite index return minus as the return from the given portfolio minus the corresponding monthly Treasury bill the Treasury-bill rate all divided by the rate; bi is Beta, the measure of systematic standard deviation of returns, provide a risk; SMBt the difference in returns between measure of excess return per unit of risk. small and large capitalisation stocks; HMLt Here we see that the S&P 500 has delivered the difference in returns between high and approximately triple the excess return per low book-to-market stocks; and MOMt the unit of risk than the sample firms. Although difference in returns between stocks with these results indicate that narrowly focused high and low past returns. funds may not deliver the returns expected of This model is estimated over the entire more risky investments, we show below that 2001–2006 period, consisting of 72 months some of these funds reward investors of data or 4640 monthly fund observations. handsomely. The intercept in the model, ai, is the abnormal performance in excess of risk premiums associated with the market, size, METHODOLOGY book-to-market and momentum factors. In order to investigate the abnormal A positive alpha indicates that fund managers performance of the funds in our sample more in the sample are able to outperform the thoroughly than with simple Sharpe ratios, market on a risk and investment style we first estimate the standard four-factor adjusted basis, whereas a negative alpha 402 & 2009 Palgrave Macmillan 1470-8272 Journal of Asset Management Vol. 9, 6, 398–408
  • 6. Do mutual funds with few holdings outperform the market? indicates the opposite, and we examine these expenses are negatively related to abnormal below. performance, and Carhart has documented a Once the Carhart (1997) four-factor negative association between loads and model is estimated, the parameters b1, y, b4 performance. However, these authors differ are then used to calculate the alphas using in their findings regarding turnover. Carhart the following equation: (1997) finds a negative effect of turnover on the average mutual fund’s performance, ait ¼ rit À rft À b1i ÂRMRFt À b2i ÂSMBt whereas Kacperczyk et al (2005) and À b3i ÂHMLt À b4i ÂMOMt Wermers (2000) find a positive effect of (2Þ turnover on abnormal performance. The positive effect of turnover on abnormal The alphas are subsequently used in cross- performance is attributed by Wermers (2000) section regressions using the model in (3) in as the result of managers acting on an attempt to investigate the abnormal information and having superior stock performance across the sample funds using picking skills. fund-specific characteristics. Following the We examine both the performance results existing literature, we estimate the following in model (1) and the cross-sectional model on a monthly basis across all funds regression results in model (3) over the entire available in each month of the sample: sample period, as well as in the top and bottom quartiles of the sample, sorted by ait ¼ b0 þ b1 ÂExpensesit excess return (fund return minus T-bill þ b2 ÂLoadit þ b3 ÂSizeit return). This, of course, results in estimating þ b4 ÂTtopit þ b5 ÂTurnoverit two distinct regression models, representing þ uit ð3Þ two different regimes, one for the top quartile of excess returns (Winners) and where Expensesit is total annual management the other for the bottom quartile (Losers). and administrative expenses including 12b-1 We chose quartiles for Winners and Losers fees divided by the average total net assets of arbitrarily based on similar segmentations fund i at time t; Loadit is the total of of firms reported in the literature. maximum front-end and deferred sales Alternatively, we could have chosen them charges as per cent of the total net assets of using a regime switching or threshold fund i at time t; Sizeit the natural log of total model, using panel data developed by net assets of fund i at time t; Turnoverit the Hansen (1999), in which the regime break minimum (of aggregated sales or aggregated points are estimated along with other purchases of securities), divided by the model parameters.8 Additionally, this average 12-month total net assets of the fund, segmentation into Winners and Losers also used as a proxy for transaction costs reduces the number of fund months in associated with rebalancing the portfolio; and each of these quartiles to roughly 1000 Ttopit is per cent of the fund’s total net assets observations, after months in which in its top 10 most heavily weighted holdings independent variable data points were not and is used as a proxy for concentration. available are eliminated. Although this Note that all the variables above with the reduction in sample size to the approximate exception of Size are divided by 12 to put 1000 observations in each regression is still them on the same measurement basis as the relatively large by conventional standards, dependent variable, which is the monthly it is small by mutual fund standards, where alpha. the typical regression may contain thousands Previous research by Carhart (1997) and or tens of thousands of fund month Kacperczyk et al (2005) has shown that observations. & 2009 Palgrave Macmillan 1470-8272 Journal of Asset Management Vol. 9, 6, 398–408 403
  • 7. Kaushik and Barnhart EMPIRICAL RESULTS Table 3: Abnormal performance: (a) all funds; (b) Winner quartile and (c) Loser quartile Variable Estimate t-value Performance Panel a Regression results from equation (1), the a À0.002 À3.52*** Carhart (1997) four-factor model, are RMRF 1.075 59.1*** SMB 0.288 15.0*** reported in Table 3, panels a–c. The results in HML À0.118 À5.02*** panel a, for all funds in the sample, indicate MOM 0.081 5.89*** Adj. R2 0.591 — that, on average, small portfolios do not Number of fund months 4640 — outperform the S&P 500 index after Panel b controlling for small stocks, book-to-market a 0.041 20.15*** and momentum. Results reported in panel a RMRF 0.421 9.16*** SMB 0.130 3.0*** show that monthly abnormal performance of HML 0.018 0.38 small portfolios relative to the S&P 500 index MOM À0.105 À4.89*** is À0.002 (À2.4 per cent per annum) before Adj. R2 0.178 — Number of fund months 1,159 — considering expenses and loads. All the coefficients in the regression are highly Panel c a À0.032 À19.28*** significant. Although the results above RMRF 0.770 16.0*** indicate that smaller funds are more risky SMB 0.094 2.29** HML À0.313 À8.07*** than the S&P index, the beta coefficient MOM À0.040 À1.13 from panel a indicates that the funds are only Adj. R2 0.458 — Number of fund months 1,160 — marginally more risky in terms of systematic risk, with a beta slightly greater than 1.0. The table summarises regression results for the Carhart (1997) four-factor model showing the abnormal The positive coefficients on SMB and MOM performance of sample firms, a, relative to market and indicate that small cap companies and style benchmarks. Results are obtained from regressing the excess return of each fund (the monthly momentum stocks increase abnormal fund return minus the corresponding month T-bill rate) performance, whereas the negative against the excess return of the market, RMRF, the Fama–French factors, SMB, which is the difference in coefficient on HML indicates that growth returns between small and large capitalisation stocks, stocks tend to detract. HML, which is the difference in returns between high It is intriguing to examine the and low book-to-market stocks, and MOM, which is the difference in returns between stocks with high and performance of the top and bottom low past returns. performers within the overall sample. *, **, *** indicate statistical significance at the 10, 5 and 1 per cent levels, respectively. Therefore, we divide the sample into Winners and Losers, defined as those funds in the top and bottom quartiles based on excess return (monthly fund return minus (5.3 per cent), or 74.4 per cent annually, corresponding month T-bill return). Each whereas for the Loser group it is À6.4 year from 2001 to 2006, we sort the entire per cent (À4.7 per cent), or À76.8 per cent sample of monthly fund excess returns, annually. The four-factor model results for labelling the top quartile Winners and the Winner and Loser portfolios are reported in bottom quartile Losers. We then re-estimate Table 3, panels b and c, respectively. Results the Carhart (1997) four-factor model using from the alpha coefficients indicate that the these two sub-samples. average Winner fund outperforms the S&P As one would expect for small, highly 500 index on a risk-adjusted basis of 410 concentrated portfolios, the differences in basis points per month (49.2 per cent per the two quartiles are large. The Winner annum), whereas Losers earn À320 (À38.4 group has a mean (median) monthly excess per cent per annum). The larger positive return over the entire period of 6.2 per cent coefficient on SMB indicates that smaller 404 & 2009 Palgrave Macmillan 1470-8272 Journal of Asset Management Vol. 9, 6, 398–408
  • 8. Do mutual funds with few holdings outperform the market? companies add more to Winner fund show that abnormal performance, a, is abnormal performance, and the negative significantly and directly associated with coefficient on HML indicates that growth turnover and the percentage of total net stocks reduce excess returns in the Loser assets invested in the fund’s top 10 most funds. heavily weighted holdings. Investment in the Cross-section regressions We examine the funds in the sample using Table 5: Cross-sectional regressions on fund characteristics: (a) Winner quartile and (b) Loser cross-section regressions to assess which quartile fund-specific characteristics explain the Variable Estimate T Value abnormal performance. The variables used to explain the abnormal performance are those (a) Intercept À0.013 À2.64*** contained in model (3) above. Expenses 0.672 0.79 Table 4 presents means and medians for Load À0.243 À0.63 the variables used in the cross-sectional Ttop 0.488 5.44*** Turnover 0.021 3.94*** regressions on a year-by-year basis. Several Size À0.0002 À0.47 items are noteworthy. First, the average size, Number of fund months 1,015 — Adj. R2 0.0398 — in terms of total net assets, has increased over time. Second, the percentage of the fund (b) Intercept 0.004 0.79 invested in the top 10 most heavily weighted Expenses À2.761 À4.63*** holdings is quite large and stays relatively Load 0.844 2.08** Ttop À0.429 À5.09*** constant at about 55 per cent. Finally, the Turnover À0.034 À6.24*** average number of holdings in the funds has Size 0.0022 4.37*** increased slightly, whereas turnover has Number of fund months 1,009 — Adj. R2 0.1351 — declined over time. The table reports results of model (3) regressing The cross-sectional results for Winner and abnormal performance, a, against fund characteristics Loser portfolios, reported in Tables 5a and b, for Winner and Loser quartiles. Variable descriptions are given in Table 4. respectively, show a sharp contrast between *, **, *** indicate statistical significance at the 10, 5 and the two. The results for Winners in Table 5a 1 per cent levels, respectively. Table 4: Descriptive statistics Variable 2001 2002 2003 2004 2005 2006 Size (in millions) $49.23; $14.65 $120.65; $47.88 $89.93; $25.2 $107.66; $20 $116.19; $19.7 $128.49; $36.45 Number of stocks 23.85; 24 24.35; 25 24.65; 25 24.39; 25 24.68; 25 25.98; 27 Ttop 58.08; 57.12 56.88; 55.68 54.24; 51.48 54.24; 52.56 57.96; 56.16 54.72; 53.52 (top 10 holdings %) Expense ratio (%) 1.73; 1.45 1.54; 1.44 1.98; 1.45 1.80; 1.49 1.83; 1.49 1.67; 1.35 Load (%) 2.25; 0.25 1.78; 0.25 2.23; 0.25 2.25; 0.25 1.97; 0.00 1.83; 0.00 12b-1 fee (%) 0.125; 0.00 0.24; 0.25 0.19; 0.16 0.21; 0.00 0.15; 0.00 0.18; 0.00 Turnover ratio (%) 177; 81.48 160; 57.96 97.44; 53.04 111.72;44.04 106.68; 63.96 84.48; 58.92 Observations 73; 874 54; 648 71; 852 63; 756 57; 684 69; 828 The table provides descriptive statistics of some of the key fund-specific variables of sample funds. For each variable, the mean value is followed by median value. Size is the annual total net assets under management and reported in millions of dollars; Number of stocks is the average number of stocks held by the funds during the year; Ttop is the percentage of the fund’s total net assets invested in its top 10 weighted holdings; Expense ratio is operating expenses, management fees, 12b-1 fees, administrative fees and all other asset-based costs incurred by the fund as a percentage of total net assets; Load is the sum of fund’s front-end and deferred sales charges; 12b-1 fee is the annual charge deducted from fund assets to pay for distribution and marketing expenses; Turnover ratio is the minimum (of aggregated sales or aggregated purchases of securities), divided by the average 12-month total net assets of the fund. Yearly fund observations are followed by fund month observations. & 2009 Palgrave Macmillan 1470-8272 Journal of Asset Management Vol. 9, 6, 398–408 405
  • 9. Kaushik and Barnhart top 10 most heavily weighted holdings but significant negative impact on Loser (Ttop) is also used as a proxy for abnormal performance. concentration, which, some have argued, In contrast to the results for Winner are also the best ideas of fund managers. portfolios, the coefficients on load and size The 0.488 coefficient on Ttop implies that have positive and significant effects on for every 100 basis-point increase in funds Loser portfolio abnormal performance. devoted to the top 10 most heavily held Load has the largest effect, with a coefficient companies, the annual abnormal return of 0.844, implying an 84 basis-point increase increases by 48.8 basis points. This indicates in Loser portfolio abnormal performance that fund managers in Winner portfolios for every 100-point increase in Loads. are making large bets on good stocks. Although this may seem counter-intuitive A smaller relationship is observed between and in contrast to the results reported in abnormal performance and the turnover Chordia (1996), Carhart (1997) has shown ratio. The turnover ratio coefficient of that loads, especially back-end loads and 0.021 suggests that for every 100 basis-point redemption fees, dissuade investors from increase in turnover, annual abnormal frequently redeeming their mutual fund performance increases by 2.1 basis points. positions, thereby allowing funds with A positive relationship between turnover loads to keep less cash and invest more in ratio and abnormal performance is higher return stocks. Thus, higher loads consistent with the notion that the benefits may in fact increase abnormal performance. exceed the trading costs associated with The 0.0022 coefficient on size indicates turnover if rebalancing of the portfolio is that for every increase in total net assets a function of information arrival and not under management of US$1 million, churning activities. Studies by Chevalier abnormal performance for Loser funds and Ellison (1999) and Wermers (2000) increases by a paltry amount of $2200 demonstrate that turnover ratios can have or relatively small 0.22 basis points. a positive and significant impact on the performance of actively managed mutual funds. CONCLUSIONS Results reported in Table 5b for Loser This paper investigates the performance of funds show that expenses, turnover and Ttop mutual funds that hold a small number of all negatively affect abnormal performance, stocks in their portfolio. Following with expenses having a very large negative definitions in the financial press and in effect. The À2.76 coefficient on expenses mutual fund-specific investment objective implies that for every 100 basis-point statements, we limit our investigation to increase in Loser fund expenses, annual funds that are concentrated in 10–30 stocks. abnormal performance declines by an Our results indicate that, on average, fund excessive 276 basis points. Thus, expenses portfolios with few holdings do not take a large toll on Loser portfolio returns. outperform the S&P 500 index. On average, Likewise, the À0.429 coefficient on Ttop small portfolios under-perform the market implies that for every 100 basis-point on a risk and investment style adjusted basis increase in the Loser fund’s investment in by about À20 basis points per month or its top 10 most heavily weighted holdings, À2.40 per cent per year. annual abnormal performance drops by We also find that there is a sharp contrast approximately 43 basis points. Thus Loser between the performance of Winner and portfolio managers are making large bets Loser portfolios. Screening on excess return, that affect their portfolios, but in poorly that is, fund return minus the T-bill rate, we performing stocks. Turnover also has a small define Winners as funds in the top quartile 406 & 2009 Palgrave Macmillan 1470-8272 Journal of Asset Management Vol. 9, 6, 398–408
  • 10. Do mutual funds with few holdings outperform the market? and Losers as those in the bottom quartile. likeyToo much of a good thing can be wonderful’. Source: www.brainyquote.com. On average, Winner portfolios outperform 4. Focus funds have big potential, if you dare. USA Today, 11 the S&P composite index by 410 basis points November 2002. per month or an astounding 49.2 per cent 5. The following fund objective statement of the Janus 20 fund taken from the Fidelity website www.fideilty.com is per annum, whereas Losers under-perform typical of the fund we are interested in: The fund seeks by 320 or À38.4 per cent per annum over long-term capital appreciation. The fund is non-diversified the same period. and intends to achieve its objective by concentrating its investments in the equity securities of a smaller number of To investigate this dramatic difference companies than more diversified funds. Typically invests in between Winner and Loser portfolios, we 15 to 35 firms at a time. The fund may invest in sectors or use fund-specific characteristics in cross- foreign issuers. sectional regressions to explain the abnormal 6. The Financial Dictionary and investopedia define focus funds as those that contain a small number of stocks, in performance from each group. The results general: (a) those who hold a portfolio concentrated in indicate that Winner portfolio abnormal approximately 10–30 stocks, (b) those who concentrate performance is positively and significantly their holdings within 1–3 sectors and (c) those who hold a large number of different stocks, but a large portion of their related to the turnover ratio and the total portfolio value is concentrated in a very small number percentage of the fund’s assets invested in of stocks. (http://financial-dictionary.thefreedictionary. their top 10 most heavily weighted holdings. com/Focused+Fund; http://www.investopedia.com/ Results for Loser portfolios show that terms/f/focusedfund.asp) The Wall Street Journal defines focus funds as concentrated abnormal performance deteriorates portfolios that tend to make big bets on just a few significantly with turnover, concentration dozen stocks versus two to three times that amount and expenses. On the other hand, Loser for a more diversified offering (Wall Street Journal, 28 November 2006). portfolio abnormal performance is positively 7. According to the National Bureau of Economic Research related to Load and Size. (NBER), the US economy underwent a recession in March 2001 that ended in October of 2001. NBER determined that the trough, which is also known as the beginning of the expansion period, started in November NOTES of 2001. 1. The funds analysed in these studies are characterised as 8. Hansen (1999) proposes estimating model parameters large, broadly diversified funds from various investment and the threshold, g, using least squares. The overall styles that exclude sector funds, international funds, index sample is then divided into regimes based on whether funds, quant funds and bond funds. The benchmarks the threshold variable, qi,t (or fund performance in our used to calculate risk-adjusted excess returns are those case) is smaller or larger than the computed threshold g. used in this study and consist of the return on the S&P The value of g is computed with the restriction that a 500 index, the Fama–French HML and SMB factors minimum percentage of observations must lie in each and Carhart’s Momentum factor, which are all defined regime. Hansen provides programs to run his analysis on below. his website. 2. ‘A fund with few holdings, called a focus fund, has a better chance of beating the S&P 500, but it’s more likely that one or two bad stocks can smack shareholders senseless’. Source: Focus funds have big potential, if you dare. USA REFERENCES Today, 11 November 2002. Berk, J. B. and Green, R. C. (2004) Mutual fund flows and ‘Highly selective funds, with limited shares in the portfolio, performance in rational markets. Journal of Political Economy have become a popular way for investors to maximise their 112(6): 1269–1295. chances of beating lackluster returns from the stock Carhart, M. M. (1997) On persistence in mutual fund market’. Source: Focus funds: A way of beating lacklustre performance. Journal of Finance 52: 57–82. stock returns. Financial Times, 29 July 2005. Chen, J., Hong, H., Huang, M. and Kubik, J. D. (2004) Does 3. Two quotes attributed to Mr Buffett summarise his fund size erode mutual fund performance? The role of investment philosophy: ‘If you are a know-something liquidity and organization. American Economic Review investor, able to understand business economics and to find 94: 1276–1302. five to ten sensibly priced companies that possess important Chevalier, J. and Ellison, G. (1999) Are some mutual fund long-term competitive advantage, conventional managers better than others? Cross-sectional patterns diversification makes no sense for you’. Source: Hagstrom in behavior and performance. Journal of Finance LIV: (1999). Additionally, ‘Wide diversification is only required 875–899. when investors do not understand what they are doing. Chordia, T. (1996) The structure of mutual fund charges. Why not invest your assets in the companies you really Journal of Financial Economics 41: 3–39. & 2009 Palgrave Macmillan 1470-8272 Journal of Asset Management Vol. 9, 6, 398–408 407
  • 11. Kaushik and Barnhart Fama, E. F. and French, K. R. (1993) Common risk factors in Nanda, V., Wang, J. Z. and Zheng, L. (2004) Family the return on bonds and stocks. Journal of Financial values and the star phenomenon: Strategies of mutual Economics 33: 3–53. fund families. Review of Financial Studies 17: Hagstrom, R. G. (1999) The Warren Buffet Portfolio: Mastering 667–698. the Power of the Focus Investment Strategy. New York: John Shawky, H. A. and Smith, D. M. (2005) Optimal Wiley & Sons. number of stock holdings in mutual fund portfolios Hansen, B. E. (1999) Threshold effects in non-dynamic based on market performance. The Financial Review panels: Estimation, testing, and inference. Journal of 40: 481–495. Econometrics 93: 345–368. Wermers, R. (2000) Mutual fund performance: An Kacperczyk, M., Sialm, C. and Zheng, L. (2005) On the empirical decomposition into stock-picking talent, style, industry concentration of actively managed equity mutual transaction costs, and expenses. Journal of Finance funds. Journal of Finance 60: 1983–2011. 55: 1655–1703. 408 & 2009 Palgrave Macmillan 1470-8272 Journal of Asset Management Vol. 9, 6, 398–408