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The Capitalism Distribution
Observations of individual common stock returns, 1983 – 2006
When most people think of the stock market they                                                                                         In this paper we make the case for the Capitalism
do so in terms of index results such as the S&P 500                                                                                     Distribution, a non-normal distribution with very
or Russell 3000. They are unaware of the massive                                                                                        fat tails that reflects the observed realities of long-term
differences between successful stocks and failed stocks                                                                                 individual common stock returns.
“under the hood” of their favorite index.


»»	   39% of stocks were unprofitable investments
»»
	     18.5% of stocks lost at least 75% of their value
»»
	     64% of stocks underperformed the Russell 3000
»»
	     25% of stocks were responsible for all of the 		
	     market’s gains
»»
	     High performance stocks all
	     tended to have one thing in common



                                    TOTAL LIFETIME RETURNS FOR INDIVIDUAL U.S. STOCKS 1983–2006

              1500

                                                   »   1 out of every                                                                                                                                »            1 out of every
                                                       5 stocks was a                                                                                                                                             5 stocks was a
                                                       significant loser                                                                                                                                          significant winner

              1200                                 »   39% of all stocks                                                                                                                             »            61% of all stocks
                                                       had a negative                                                                                                                                             had a positive
                                                       total return                                                                                                                                               total return

               900




               600




               300




                 0
                     -75% & WORSE

                                    -75% TO -50%

                                                       -50% TO -25%

                                                                      -25% TO 0%

                                                                                   0% TO 25%

                                                                                               25% TO 50%

                                                                                                            50% TO 75%

                                                                                                                         75% TO 100%

                                                                                                                                       100% TO 125%

                                                                                                                                                      125% TO 150%

                                                                                                                                                                     150% TO 175%

                                                                                                                                                                                    175% TO 200%

                                                                                                                                                                                                   200% TO 225%

                                                                                                                                                                                                                     225% TO 250%

                                                                                                                                                                                                                                    250% TO 275%

                                                                                                                                                                                                                                                   275% TO 300%

                                                                                                                                                                                                                                                                  300% & BETTER




The Capitalism Distribution 	 1
TOTAL RETURNS OF INDIVIDUAL STOCKS VS. RUSSELL 3000 INDEX 1983–2006

              1500

                                                         »           64% of all stocks                                                                                                                                                                                                               »        36% of all stocks
              1200                                                   had a lower total                                                                                                                                                                                                                        had a higher total
                                                                     return than the                                                                                                                                                                                                                          return than the
                                                                     Russell 3000 during                                                                                                                                                                                                                      Russell 3000 during
               900                                                   their lifetime                                                                                                                                                                                                                           their lifetime

                                                                                                                                                                                                                                                                                                     »        6.1% of stocks

               600                                                                                                                                                                                                                                                                                            dramatically
                                                                                                                                                                                                                                                                                                              outperformed
                                                                                                                                                                                                                                                                                                              the index
               300


                 0
                     -500% & WORSE

                                     -500% TO -450%

                                                             -450% TO -400%

                                                                                -400% TO -350%

                                                                                                     -350% TO -300%

                                                                                                                        -300% TO -250%

                                                                                                                                         -250% TO -200%

                                                                                                                                                              -200% TO -150%

                                                                                                                                                                               -150% TO -100%

                                                                                                                                                                                                -100% TO -50%

                                                                                                                                                                                                                    -50% TO 0%

                                                                                                                                                                                                                                 0% TO 50%

                                                                                                                                                                                                                                                50% TO 100%

                                                                                                                                                                                                                                                               100% TO 150%

                                                                                                                                                                                                                                                                              150% TO 200%

                                                                                                                                                                                                                                                                                               200% TO 250%

                                                                                                                                                                                                                                                                                                               250% TO 300%

                                                                                                                                                                                                                                                                                                                              300% TO 350%

                                                                                                                                                                                                                                                                                                                                                 350% TO 400%

                                                                                                                                                                                                                                                                                                                                                                400% TO 450%

                                                                                                                                                                                                                                                                                                                                                                                    450% TO 500%

                                                                                                                                                                                                                                                                                                                                                                                                   500% & BETTER
                                                                                                                                          STOCK TOTAL RETURN MINUS INDEX TOTAL RETURN


The fat tails in this distribution are notable. 494 (6.1% of all) stocks outperformed the Russell 3000 by at least 500%
during their lifetime. Likewise, 316 (3.9% of all) stocks lagged the Russell 3000 by at least 500%.


                                 ANNUALIZED RETURNS INDIVIDUAL STOCKS VS. RUSSELL 3000 1983–2006

              1500

                                                              »               64% of stocks                                                                                                                                                                                                                    »       36% of stocks
              1200                                                            had a lower                                                                                                                                                                                                                               had a higher
                                                                              annualized return                                                                                                                                                                                                                         annualized return
                                                                              than the index                                                                                                                                                                                                                            than the index
               900


               600


               300


                 0
                     -30% & WORSE


                                                      -30% TO -25%


                                                                                      -25% TO -20%


                                                                                                                      -20% TO -15%


                                                                                                                                                    -15% TO -10%


                                                                                                                                                                                 -10% TO -5%


                                                                                                                                                                                                                -5% TO 0%


                                                                                                                                                                                                                                     0% TO 5%


                                                                                                                                                                                                                                                              5% TO 10%


                                                                                                                                                                                                                                                                                        10% TO 15%


                                                                                                                                                                                                                                                                                                                 15% TO 20%


                                                                                                                                                                                                                                                                                                                                             20% TO 25%


                                                                                                                                                                                                                                                                                                                                                                       25% TO 30%


                                                                                                                                                                                                                                                                                                                                                                                                   30% & BETTER




                                                                                                                       STOCK ANNUALIZED RETURN MINUS INDEX ANNUALIZED RETURN


The left tail in this distribution is significant. 1,498 (18.6% of all) stocks dramatically underperformed the Russell
3000 during their lifetime.


The Capitalism Distribution	                               2
ANNUALIZED RETURNS INDIVIDUAL STOCKS 1983–2006

             200%


             150%


                                                                  »   The median                            »     14% of stocks had
             100%                                                                                                 an annualized return
                                                                      annualized return
                                                                      was 5.1%                                    better than 20%

              50%


               0%


             -50%
                                                 »   The average                      »   65% of all stocks had
                                                     annualized return                    an annualized return
            -100%                                    was -1.06%                           less than 10 %



            -150%
                    0         1000        2000            3000             4000           5000             6000             7000         8000


                                                                  NUMBER OF STOCKS




You may be wondering how the Russell 3000 index                              periods of time to negatively impact index returns.
can have an overall positive rate of return if the                           For these reasons the average annualized return
average annualized return for all stocks is negative. The                    is probably a somewhat deceptive number for
answer is mostly a function of the index construction                        the purposes of modeling the “typical” stock, but
methodology. The Russell 3000 is market capitalization                       interesting nonetheless.
weighted. This means that successful companies
(rising stock prices) receive larger weightings in the                       The astute reader at this point is probably wondering
index. Likewise, unsuccessful companies (declining                           if outperforming large capitalization stocks explain the
stock prices) receive smaller weightings. Eventually                         observed distributions. Mathematically this would make
unsuccessful companies are removed from the index                            sense. Small cap stocks certainly outnumber large
(delisted), making way for growing companies.                                cap stocks, while large cap stocks dominate the index
                                                                             weightings. However, while large cap stocks (Russell
Market capitalization weighted indexation                                    1000) have outperformed small cap stocks (Russell
is like a simple trend-following system that                                 2000) over the long term it has been by less than 1% per
rewards success and punishes failure.                                        year, certainly not enough to explain our observations.


It’s also important to point out that stocks with a
negative annualized return had shorter life spans than
their successful counterparts. The average life span
of a losing stock was 6.85 years versus 9.23 years for
winning stocks (many of which are still living right
now), meaning that losing stocks have shorter


The Capitalism Distribution 	 3
ATTRIBUTION OF COLLECTIVE RETURN 1983–2006

             100 %

                         75%                                                                      25%
             80 %


                         »   The worst performing                                                  »   The best performing
             60 %
                             6,000 (75% of all)                                                        2,000 (25% of all)
                             stocks collectively had                                                   stocks accounted
                             a total return of 0%                                                      for all the gains
             40 %



             20 %



              0%



             -20 %
                     0          1000              2000   3000       4000           5000    6000         7000           8000


                                                                NUMBER OF STOCKS




The conclusion is that if an investor was somehow                          companies. However, further research suggests that
unlucky enough to miss the 25% most profitable stocks                      they weren’t large companies when they were enjoying
and instead invested in the other 75% his/her total                        the bulk of their cumulative returns. Becoming a large
gain from 1983 to 2006 would have been 0%. In other                        cap is simply the natural result of significant price
words, a minority of stocks are responsible for the                        appreciation above and beyond that of the other
majority of the market’s gains.                                            stocks in the market. We were not able to detect any
                                                                           sector tendencies.
We identified the best performing stocks on both
an annualized return & total return basis and studied                      The biggest winners on a total return basis
them extensively. The biggest winning stocks on an                         were simply the minority that outperformed
annualized return basis had a moderate tendency to be                      their peers.
technology stocks and most (60%) were bought-out by
another company or a private equity firm.                                  Both the biggest winners on annualized return and total
                                                                           return basis tended to have one thing in common while
Some of the biggest winners on a total return basis                        they were accumulating market beating gains. Relative
were companies that had been acquired. Examples                            to average stocks they spent a disproportionate amount
include Sun America, Warner Lambert, Gillette,                             of time making new multi-year highs. Stock ABC can’t
Golden West Financial and Harrah’s Entertainment.                          travel from $20 to $300 without first crossing $30 and
However, most (68%) are still trading today. Not                           $40. Such a stock is going to spend a lot of time making
surprisingly, they are almost exclusively large cap                        new highs. Likewise, the worst performing stocks



The Capitalism Distribution 	 4
tended to spend zero time making new multi-year                                       Stocks that generate thousands of percent
highs while they were accumulating losses. Instead,                                   returns will hit new highs hundreds of times,
relative to average stocks they tended to spend a                                     usually over the course of many years.
disproportionate amount of time at multi-year lows.
Mathematically it makes perfect sense.



                         SAMPLE STOCKS THAT HIT HUNDREDS OF NEW HIGHS PRIOR TO COLLAPSING


                                                                      ON THE WAY UP                               AFTER THE PEAK
                                                                  NUMBER             GAIN                       NUMBER             LOSS
                                                                 NEW HIGHS                                     NEW HIGHS
                         Cisco Systems                                488           99975%                            0           -81%
                         General Electric                            1011           25316%                            0           -71%
                         Ford Motor                                   348           5484%                             0           -94%
                         General Motors                               384           3151%                             0           -95%
                         Citigroup                                    353           5519%                             0           -90%
                         Microsoft                                    424           62188%                            0           -61%
                         Fannie Mae                                   342           8531%                             0           -99%
                         Intel Corp.                                  304           16898%                            0           -81%
                         American Intl. Group                         348           3974%                             0           -98%
                         Bear Stearns                                 285           4691%                             0           -95%




Our findings reveal that the distribution                                             addition to stocks, including global assets such as
of individual stock performance has                                                   commodities, currencies, and fixed income investments.
been persistently non-normal over the last                                            This suggests that an effective trend following investment
few decades.                                                                          strategy, such as Longboard’s Pure Trend™ managed
                                                                                      futures strategy, may be employed to harvest profit
Each year, a minority of stocks are disproportionately                                opportunities across many global asset classes.
responsible for the market’s overall performance.
                                                                                      An excellent example of how an effective trend following
These findings carry important implications for investors                             strategy, applied to managed futures, may be used to
seeking above average returns. Longboard’s extensive                                  improve the return on risk and overall performance of a
research has revealed that a non-normal performance                                   traditional investment portfolio is found in Longboard’s
distribution characterizes many financial markets in                                  research paper “The Case for Managed Futures.”




Our database covers all common stocks that traded on the NYSE, AMEX, and              to index reconstitution, delisting, mergers, etc.) stocks that would have qualified
NASDAQ since 1983, including delisted stocks. Stock and index returns were            for membership in the Russell 3000 at some point in their lifetime. The Russell
calculated on a total return basis (dividends reinvested). Dynamic point-in-time      3000 Index measures the performance of the largest 3000 U.S. companies
liquidity filters were used to limit our universe to the approximately 8,000 (due     representing approximately 98% of the investable U.S. equity market.



The Capitalism Distribution 	 5

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The capitalism distribution-12.12.12

  • 1. The Capitalism Distribution Observations of individual common stock returns, 1983 – 2006 When most people think of the stock market they In this paper we make the case for the Capitalism do so in terms of index results such as the S&P 500 Distribution, a non-normal distribution with very or Russell 3000. They are unaware of the massive fat tails that reflects the observed realities of long-term differences between successful stocks and failed stocks individual common stock returns. “under the hood” of their favorite index. »» 39% of stocks were unprofitable investments »» 18.5% of stocks lost at least 75% of their value »» 64% of stocks underperformed the Russell 3000 »» 25% of stocks were responsible for all of the market’s gains »» High performance stocks all tended to have one thing in common TOTAL LIFETIME RETURNS FOR INDIVIDUAL U.S. STOCKS 1983–2006 1500 » 1 out of every » 1 out of every 5 stocks was a 5 stocks was a significant loser significant winner 1200 » 39% of all stocks » 61% of all stocks had a negative had a positive total return total return 900 600 300 0 -75% & WORSE -75% TO -50% -50% TO -25% -25% TO 0% 0% TO 25% 25% TO 50% 50% TO 75% 75% TO 100% 100% TO 125% 125% TO 150% 150% TO 175% 175% TO 200% 200% TO 225% 225% TO 250% 250% TO 275% 275% TO 300% 300% & BETTER The Capitalism Distribution 1
  • 2. TOTAL RETURNS OF INDIVIDUAL STOCKS VS. RUSSELL 3000 INDEX 1983–2006 1500 » 64% of all stocks » 36% of all stocks 1200 had a lower total had a higher total return than the return than the Russell 3000 during Russell 3000 during 900 their lifetime their lifetime » 6.1% of stocks 600 dramatically outperformed the index 300 0 -500% & WORSE -500% TO -450% -450% TO -400% -400% TO -350% -350% TO -300% -300% TO -250% -250% TO -200% -200% TO -150% -150% TO -100% -100% TO -50% -50% TO 0% 0% TO 50% 50% TO 100% 100% TO 150% 150% TO 200% 200% TO 250% 250% TO 300% 300% TO 350% 350% TO 400% 400% TO 450% 450% TO 500% 500% & BETTER STOCK TOTAL RETURN MINUS INDEX TOTAL RETURN The fat tails in this distribution are notable. 494 (6.1% of all) stocks outperformed the Russell 3000 by at least 500% during their lifetime. Likewise, 316 (3.9% of all) stocks lagged the Russell 3000 by at least 500%. ANNUALIZED RETURNS INDIVIDUAL STOCKS VS. RUSSELL 3000 1983–2006 1500 » 64% of stocks » 36% of stocks 1200 had a lower had a higher annualized return annualized return than the index than the index 900 600 300 0 -30% & WORSE -30% TO -25% -25% TO -20% -20% TO -15% -15% TO -10% -10% TO -5% -5% TO 0% 0% TO 5% 5% TO 10% 10% TO 15% 15% TO 20% 20% TO 25% 25% TO 30% 30% & BETTER STOCK ANNUALIZED RETURN MINUS INDEX ANNUALIZED RETURN The left tail in this distribution is significant. 1,498 (18.6% of all) stocks dramatically underperformed the Russell 3000 during their lifetime. The Capitalism Distribution 2
  • 3. ANNUALIZED RETURNS INDIVIDUAL STOCKS 1983–2006 200% 150% » The median » 14% of stocks had 100% an annualized return annualized return was 5.1% better than 20% 50% 0% -50% » The average » 65% of all stocks had annualized return an annualized return -100% was -1.06% less than 10 % -150% 0 1000 2000 3000 4000 5000 6000 7000 8000 NUMBER OF STOCKS You may be wondering how the Russell 3000 index periods of time to negatively impact index returns. can have an overall positive rate of return if the For these reasons the average annualized return average annualized return for all stocks is negative. The is probably a somewhat deceptive number for answer is mostly a function of the index construction the purposes of modeling the “typical” stock, but methodology. The Russell 3000 is market capitalization interesting nonetheless. weighted. This means that successful companies (rising stock prices) receive larger weightings in the The astute reader at this point is probably wondering index. Likewise, unsuccessful companies (declining if outperforming large capitalization stocks explain the stock prices) receive smaller weightings. Eventually observed distributions. Mathematically this would make unsuccessful companies are removed from the index sense. Small cap stocks certainly outnumber large (delisted), making way for growing companies. cap stocks, while large cap stocks dominate the index weightings. However, while large cap stocks (Russell Market capitalization weighted indexation 1000) have outperformed small cap stocks (Russell is like a simple trend-following system that 2000) over the long term it has been by less than 1% per rewards success and punishes failure. year, certainly not enough to explain our observations. It’s also important to point out that stocks with a negative annualized return had shorter life spans than their successful counterparts. The average life span of a losing stock was 6.85 years versus 9.23 years for winning stocks (many of which are still living right now), meaning that losing stocks have shorter The Capitalism Distribution 3
  • 4. ATTRIBUTION OF COLLECTIVE RETURN 1983–2006 100 % 75% 25% 80 % » The worst performing » The best performing 60 % 6,000 (75% of all) 2,000 (25% of all) stocks collectively had stocks accounted a total return of 0% for all the gains 40 % 20 % 0% -20 % 0 1000 2000 3000 4000 5000 6000 7000 8000 NUMBER OF STOCKS The conclusion is that if an investor was somehow companies. However, further research suggests that unlucky enough to miss the 25% most profitable stocks they weren’t large companies when they were enjoying and instead invested in the other 75% his/her total the bulk of their cumulative returns. Becoming a large gain from 1983 to 2006 would have been 0%. In other cap is simply the natural result of significant price words, a minority of stocks are responsible for the appreciation above and beyond that of the other majority of the market’s gains. stocks in the market. We were not able to detect any sector tendencies. We identified the best performing stocks on both an annualized return & total return basis and studied The biggest winners on a total return basis them extensively. The biggest winning stocks on an were simply the minority that outperformed annualized return basis had a moderate tendency to be their peers. technology stocks and most (60%) were bought-out by another company or a private equity firm. Both the biggest winners on annualized return and total return basis tended to have one thing in common while Some of the biggest winners on a total return basis they were accumulating market beating gains. Relative were companies that had been acquired. Examples to average stocks they spent a disproportionate amount include Sun America, Warner Lambert, Gillette, of time making new multi-year highs. Stock ABC can’t Golden West Financial and Harrah’s Entertainment. travel from $20 to $300 without first crossing $30 and However, most (68%) are still trading today. Not $40. Such a stock is going to spend a lot of time making surprisingly, they are almost exclusively large cap new highs. Likewise, the worst performing stocks The Capitalism Distribution 4
  • 5. tended to spend zero time making new multi-year Stocks that generate thousands of percent highs while they were accumulating losses. Instead, returns will hit new highs hundreds of times, relative to average stocks they tended to spend a usually over the course of many years. disproportionate amount of time at multi-year lows. Mathematically it makes perfect sense. SAMPLE STOCKS THAT HIT HUNDREDS OF NEW HIGHS PRIOR TO COLLAPSING ON THE WAY UP AFTER THE PEAK NUMBER GAIN NUMBER LOSS NEW HIGHS NEW HIGHS Cisco Systems 488 99975% 0 -81% General Electric 1011 25316% 0 -71% Ford Motor 348 5484% 0 -94% General Motors 384 3151% 0 -95% Citigroup 353 5519% 0 -90% Microsoft 424 62188% 0 -61% Fannie Mae 342 8531% 0 -99% Intel Corp. 304 16898% 0 -81% American Intl. Group 348 3974% 0 -98% Bear Stearns 285 4691% 0 -95% Our findings reveal that the distribution addition to stocks, including global assets such as of individual stock performance has commodities, currencies, and fixed income investments. been persistently non-normal over the last This suggests that an effective trend following investment few decades. strategy, such as Longboard’s Pure Trend™ managed futures strategy, may be employed to harvest profit Each year, a minority of stocks are disproportionately opportunities across many global asset classes. responsible for the market’s overall performance. An excellent example of how an effective trend following These findings carry important implications for investors strategy, applied to managed futures, may be used to seeking above average returns. Longboard’s extensive improve the return on risk and overall performance of a research has revealed that a non-normal performance traditional investment portfolio is found in Longboard’s distribution characterizes many financial markets in research paper “The Case for Managed Futures.” Our database covers all common stocks that traded on the NYSE, AMEX, and to index reconstitution, delisting, mergers, etc.) stocks that would have qualified NASDAQ since 1983, including delisted stocks. Stock and index returns were for membership in the Russell 3000 at some point in their lifetime. The Russell calculated on a total return basis (dividends reinvested). Dynamic point-in-time 3000 Index measures the performance of the largest 3000 U.S. companies liquidity filters were used to limit our universe to the approximately 8,000 (due representing approximately 98% of the investable U.S. equity market. The Capitalism Distribution 5