Automated strategies for investment management

Report 4 Downloads 48 Views
US006317726B1

(12) United States Patent

(10) Patent N0.: US 6,317,726 B1 (45) Date of Patent: *Nov. 13, 2001

O’Shaughnessy

(54) AUTOMATED STRATEGIES FOR INVESTMENT MANAGEMENT

FOREIGN PATENT DOCUMENTS 2298299 *

(75) Inventor: James P. O’Shaughnessy, Coscob, CT (Us)

Notice:

(GB) ............................ .. G06F/19/00

OTHER PUBLICATIONS

(73) Assignee: Netfolio, Inc., Greenwich, CT (US) (*)

8/1996

Forbes (NPL) “Investment policy; Securities analysis; Fore

Subject to any disclaimer, the term of this patent iS eXtended or adjusted under 35 U~S~C~ 154(k)) by 0 days-

casting techniques; Ratio analysis; Books”. Forbes v158n6 pp:225 Sep. 9, 1996 CODEN: FORBA5 ISSN: 0015—6914. Author: Kennith Fisher.*

This patent is subject to a terminal disclaimer.

* cited by examiner

Primary Examiner—Vincent Millin

(21) Appl' NO‘: 09/361,654 (22) Filed: Jul_ 27’ 1999

Assistant Examiner—Jeffrey PWu (74) Attorney, Agent, or Firm—Elman & Associates

Related US. Application Data (63)

(60)

(57)

Continuation-in-part of application No. 08/995,296, ?led on Dec. 20, 1997. ligg‘gsional application NO- 60/034989: ?led on Dec- 30: ' 7

ABSTRACT

The invention is in the ?eld of using a Computer to Select corporate stocks for investment. Fifty stocks are selected from a database on the basis of certain criteria. The stocks are acquired in equal proportions, and the portfolio is

(51)

Int. Cl.

.................................................... .. G06F 17/60

rebalanced at the end of an annual tenn Strategy 1: market

(52)

US. Cl. ............................... .. 705/36; 705/35; 705/37;

Capitalization greater than $172 million (in?ation adjusted

705/38

?gure for $150 million in 1994 dollars); price-to-sales ratio

(58)

Fleld 0f Search ................................ .. 705/36, 37, 35,

less than 1'5; earnings higher than in previous year; market

705/38,

capitalization greater than market capitalization three

39

.

_

(56)

.

.

.

.

.

months ago; market capitalization greater than market capi

References Clted

taliZation siX months ago; buy stocks With highest one-year

U'S' PATENT DOCUMENTS

stock price appreciation. Strategy II: market capitalization greater than database mean; common shares outstanding

5,132,899 *

7/1992 FOX ...................................... .. 705/36

greater than database mean; CaSh?OW greater than the data

5,761,442 *

6/1998 Barr et al. ............................ .. 705/36

b

5,819,238 * 10/1998 Fernholz .............................. .. 705/36

t.

ase mean' (Crea mg

SET A _

.

t

1

t.

1

)> Pnce' 0'” ‘is m 10 655

th

an

5,946,666 * 8/1999 New, et a1_ 5,978,778 * 11/1999 O’ShaughneSSy

705/36 ---- -- 705/36

average for SET A; sales greater than 1.5 times the average for the database; no utility companies; buy the 25 or 50

670357286

3/2000

' ' ' ' " 705/36

stocks With the best one year stock price appreciation.

6,061,663 6,064,985 *

5/2000 Bloom .................................. .. 705/36 5/2000 Anderson ............................. .. 705/36

6,085,175

7/2000 Gugel ................................... .. 705/36

Fned

''''''''''''''

T



26 Claims, 14 Drawing Sheets

Selem Market SW Cup/tullzdlion‘

5'0“ mom”

,

above $172M and

V

T ,

Me A

wme IO me A

t

H

172

HS

Select Stocks "om Hie A WM)

‘Woe/soles m6 less He D



WC?! 1 5 and wme l _> to me B

I

Select Stocks rmm

we 0 which Irvcvecsed Market Cclpnulizutimn \I'\ my a mums and we

time D

L

we a

175

i-4

19

select Stocks item We a with earnings

“QUE/"'10" wet/160s yeQIS 6m wme to

‘we c Select W File D whlch vrvcvccsed Market

—>

Cupnuhztmon In last 6 months and wme '

V

me E

3

i H]

no

‘Son mm mm Hie‘l ‘E on mgmsv one’

Year Price qppveciuvion and Write in to Flle F m2

1

we F

via

U.S. Patent

Nov. 13, 2001

Sheet 1 0f 14

US 6,317,726 B1

Select Stocks with

Market Capitalization -—} above $172M and -—-}

Stock Database

File A

write to file A

1-1

l-2

1-3

Select Stocks from File A with

price/sales ratio less —} File D

File B

than 1.5 and write .

to file B

i-5

A

1-9

1-4

Select Stocks from

Select Stocks from

File C which

File B with earnings

increased Market

higher than previous _>

Capitalization in last 3 months and write to file D

years and write to file C

File C

1-7

1-6 1-8

Select Stocks from File D which

increased Market _> Capitalization in last

File E

6 months and write tofileE

1-] l

¢ l-lO Fig. i

Sort Stocks from File E on highest one

year price appreciation and write list to File F 1-12

——>

File F

1-1 3

U.S. Patent

Nov. 13, 2001

Sheet 2 0f 14

US 6,317,726 B1

Select Stocks with Market Capitalization

Stock Database

——> greater than

—-}

.

File A

database mean

2]

and write to file A

2_3

+

2-2

-

Select Stocks from File A with more

common shares outstanding than

File D

_>

Fne 5

database mean

and write to file B 2-9

Select Stocks from File C with price to

sales ratio less than average for File C and write to file D

-

2-5 2-4

Select Stocks from File B with cashflow



Fne C

database mean and write to file C

.

26

+

2-8

Select STOCKS from File D with SOleS

QleQTel Th0" 1-5

Select Stocks from File E, eliminate

_> utilities, and write to

times average for the database and

File E

_>

File F

file F 2 12

write to file E

¢

2-7

'

2-13

2-10 2-14 Sort Stocks from File F on highest one

year price appreciation and write list to File G

Fig. 2

2-l5

__>

File 6

U.S. Patent

Nov. 13, 2001

Sheet 3 0f 14

US 6,317,726 B1

Select Stocks with

Market Capitalization greater than

STOCK Database

File A

database mean and write to file A

3-3

+

3-2

Select Stocks from File A with shares

outstanding greater

File B

than the database

File D

mean and write to file B

Select Stocks from File C with sales greater than 1.5 times database mean and write to file D

3-5

3-4

3-9

Select Stocks from File B with cashflow greater than the database mean

——>

File C

and write to tile C 3-7

3-6 3-8 Select Stocks from File D which are not

utility companies

File E

and write to file E 3-H

3-10

Fig. 3

Sort Stocks from File E on lowest price to sales ratio and write list to File F 3-12

File F

U.S. Patent

Nov. 13, 2001

Sheet 4 0f 14

US 6,317,726 B1

Select Stocks with

Market Capitalization greater than

STOCK Database 4-1

File A

database mean and write to file A

+

4-3

4-2

Select Stocks from File A with earnings increase from

File B

previous year and

File D

write to file B 4-5

4-4

4-9

Select Stocks from File C with market

Select Stocks from File B with

capitalization

price/sales raio less than 1.5 and write to tile C

greater than market capitalization three months ago and write to file D

File C

4-7

4-6 M Select Stocks from File D with market

capitalization

File E

greater than market

capitalization six months ago and write to file E

4-l l

+ 440 Sort Stocks from File E on highest one year price

appreciation and

—>

File F

write list to File F 4-12

4-13

U.S. Patent

Nov. 13, 2001

Sheet 5 0f 14

US 6,317,726 B1

Select Stocks with

Stock Database

Market Capitalization greater than $25M and less then $250M

File A

and write to file A

+

5-3

5-2

Select Stocks from File A with price to sales ratio less than one and write to file B

File B

5-5 5-4

Sort Stocks from File 8 on price

appreciation and

File C

write list to File C

5-6

Fig. 5

5-7

U.S. Patent

Nov. 13, 2001

Sheet 6 6f 14

US 6,317,726 B1

U.S. Patent

Nov. 13, 2001

Name

Market

Inc. EVSI Evans WS Inc. PLI SALT Salton Inc. SHRP I FRNT FrontierAirIines Inc. HMGC HMG Worldwide ITGR I I CN Inc. ULTE Ultimate Inc. PR Price National Media CIX Inc. otal NT Inc.

Zones Inc. Inc.

Inc. Shift

-Gottstein Foods Co. Inc.

GI TEC KID HB

Locker Grou TEC Inc. KidoodIe Inc. Inc. Jewelers T

FM

MN

Inc. Inc.

Limit Inc. Inc. Natural Inc.

Int'l

86 61

Limited Inc.

Inc.

Inc. Information

21 1 93 000 50 637 000 84 424 000

Com

55 000 95 719 000

Communications I

40 055 000

Inc.

33 998 Co

SC DETA

Price/Sales 51 417 065 27 438 197 235 128 439 147 0 36 016 26 881 36 788 70 337 49 590 168 719 29 644 500 137 393 59 1 29 064 67 046 46 58 98 928 25 330 38 465 54 864 59 787 26 971 30 121 126 475 33 614 45 570 856 27 155 40 875 201 329 48 676 40 645

165 539

& K Healthcare

Industries Inc. PSC Inc. Inc.

US 6,317,726 B1

Sheet 7 0f 14

236 658 000

25 010 000 35 005 000

55,519,000

Fig. 7

9 °P Q 0

U.S. Patent

Nov. 13, 2001

Stock Database

Sheet 8 0f 14

Select Stocks in accordance with Strategy ii and write to file A

8-1 8-2

—->'

US 6,317,726 B1

File A

l 8-3

Select Stocks in accordance with Growth Model land write to file A

8-4

Fig. 8

Select Stocks in accordance with

Strategy Ill and write to file A

Stock Database

Select Stocks in accordance with Strategy ii and write to file A

File A

9-3 9-4

Select Stocks in accordance with

Growth Model land write to file A

Fig. 9 9-5

U.S. Patent

Nov. 13, 2001

Sheet 9 0f 14

US 6,317,726 B1

Select Stocks with

Market Capitalization above Si 72M and

Stock Database

File A

write to file A

103

10-2

10-1

Select Stocks from File A with good

trading liquidity and

File B

write to file 13

File D

10-5

10-4

Select Stocks from File C which increased Market Capitalization in last 3 months and write to file D

Select Stocks from File B with earnings

higher than previous years and write to file C

—>

File C

10-7

10-6 10-8 Select Stocks from File D which increased Market

File E

Capitalization in last 6 months and write TO file E

10-11

$ 10-10 Fig. 10

Sort Stocks from File E on highest one

year price appreciation and

File F

write list to File F 10-12

10-13

U.S. Patent

Nov. 13, 2001

Sheet 10 0f 14

US 6,317,726 B1

Select Stocks in accordance with

Value Model 3 and write to file A

STOCK DOTODGSG

Select Stocks in accordance with

Strategy ll and write to file A

Select Stocks in accordance with

Strategy Ill and write to file A Select Stocks in

accordance with Strategy VIII and 11-6

write to file A

Select Stocks in

Stock Database

accordance with Strategy II and write to file A

1 2-3

12-]

1 2-2 Select Stocks in accordance with

Strategy Ill and write to file A

12-4

Fig. 12

U.S. Patent

Nov. 13, 2001

Sheet 11 0f 14

US 6,317,726 B1

Select Stocks in accordance with

Stock Database

.

> value Model In and ——)

FrleA

write to file A i3-i



13-3

13-2

Select Stocks in accordance with

Strategy Ill and write

) to file A

Fig. 13

1 3-4

Select Stocks in accordance with Value Model 3 and write to file A

1 4-2

Select Stocks in

Stock Database



accordance with

—) snmegyu and wme —)

.

FileA

To file A i 4-]

1 4-3 1 4-4

Fig. 14

U.S. Patent

Nov. 13, 2001

Sheet 12 0f 14

US 6,317,726 B1

Select Stocks with

Stock Database

Market Capitalization

—-> greater than

—}

File A

database mean

l5-l

and write to file A

153

+ 152 Select Stocks from File A with more

common shares outstanding than

File D

.._+

File B

database mean and write to file B

15-5

159

Select Stocks from File C with price to

sales ratio less than average for File C and write to file D

+

l5-4

Select Stocks from File B with cashflow

4- greater than the

greater than 1.5 times average for the database and write to file E

1540

File c

157

l5-6

158

Select Stocks from File D with sales

__>

database mean and write to file C

Select Stocks from File E, eliminate utilities; select stocks

, with price-to-sales

——>

File F

ratio below average and write to file F

15-13 15-12

+ 1514

15-15

Sort Stocks from File _

F on highest one

me E

year price appreciation and 1 5_] 1

write list to File 6

Fig. l5

___>

File a

U.S. Patent

Nov. 13, 2001

Sheet 13 0f 14

US 6,317,726 B1

Select Stocks in S&P Stock Database



,

500 and write to file A

16-]

+ 16-2 Select Stocks from

File A highest market CQDiTOIiZQTiO? ___>

Fi|e A

and write to file B

A 1 6-3

Select Stocks in accordance with

> Strategy II and write to file A 1 6-5

Select Stocks in accordance with

_—> Strategy Ill and write to file A 1 6-6

Fig. 16

16-4

U.S. Patent

Nov. 13, 2001

Sheet 14 0f 14

US 6,317,726 B1

T-Bills

/

1 7-2

FUNDS

17-1 \

Stocks selected In accordance wTih strategy XI 1 7-3

Fig. 17

US 6,317,726 B1 1

2

AUTOMATED STRATEGIES FOR INVESTMENT MANAGEMENT

eXplicitly and publicly so anyone With the time, money, data, equipment and inclination can reproduce the results. Third,

CROSS REFERENCE TO RELATED APPLICATION

someone using the same rules and the same reliable database must get the same results. Fourth, the results must be consistent over time; long-term results cannot oWe all their bene?ts to a feW years. Fifth, the rule must be intuitive and

This application is a continuation in part of application

logical and not be derived from the data.

Ser. No. 08/995,296, (?led: Dec. 20, 1997). Application Ser. No. 08/995,296 is a non-provisional application claiming priority under 35 U.S.C. § 119(e) from Provisional US. patent application Ser. No. 60/034,089, ?led Dec. 30, 1996. Both the provisional and non-provisional are incorporated herein by reference.

10

for most strategies), market capitaliZation (generally, requir

FIELD OF THE INVENTION 15

The invention is in the ?eld of using a computer to select corporate stocks for investment.

ing a minimum of $150 million), and annual rebalancing. SiZe of the portfolio. As evaluated, stock portfolios con tained 50 stocks, some of the portfolios in this application contain 10, 25, 30, 40 or 50 stocks. Researchers J. L. Evans

BACKGROUND OF THE INVENTION

Knowing hoW a particular investment strategy performed

The inventor used the S&P Compustat Active and Research Database from 1950 through 1994. The inventor used certain methods to evaluate hoW different rules for constructing portfolios Worked over these periods. Certain choices Were made regarding siZe of the portfolio (50 stocks

20

and S. H. Archer found most of the bene?ts of diversi?cation

risk, variability, and persistence of returns. Before the com

come from as feW as 16 stocks. One Wants to avoid holding too many or too feW stocks. Larger or smaller portfolios are

mencement of the inventor’s Work, there Was no Widely

Within the scope of the inventor’s invention.

historically gives one the vital information one needs on its

available comprehensive guide to Which strategies are long term Winners and Which are not. The inventor had access to 25

the historical S&P Compustat database of United States stock market information: forty-three years of results for Wall Street’s most popular investment strategies. It took the combination of fast computers and huge databases to prove that a portfolio’s returns are essentially

market capitaliZation in eXcess of $150 million (adjusted for

in?ation); it is called All Stocks throughout this application. 30

determined by the factors that de?ne the portfolio. Before computers, it Was almost impossible to determine What

strategy guided the development of a portfolio. The number

of underlying factors (eg price-to-earnings ratio, dividend yield) that an investor could consider seemed endless. The best one could do Was look at portfolios in the most general

35

factors over long periods of time, shoWing What one can 40

beat the S&P 500. Passive indeX fund managers have seen their assets rise as a result, from $10 billion in 1980 to over

$250 billion in 1990.

45

There is no product similar to or the same as the method

or apparatus of the present invention. Since the magnitude of the sums involved and the complexity of the relevant

larger, better-knoWn stocks With market capitaliZations greater than the database average (usually the top 16 percent of the database by market capitaliZation); it is called Large Stocks throughout the application. Annual Rebalancing. The portfolios studied are con structed and rebalanced annually. Stocks are equally Weighted With no adjustment for other variables. For eXample, if $1,000,000 is invested in 50 stocks, a $20,000 investment is made in each stock. Dividends are re-invested

50

SUMMARY OF THE INVENTION

year, all of the stocks may be sold and replaced With another ?fty stocks that meet the criteria of the strategy. Throughout the application, rebalancing refers to this process. Of course, for taX purposes, an investor must be careful in rebalancing

that one does not unnecessarily sell and reacquire shares of

The data presented by the inventor proves that the market

clearly and consistently reWards certain attributes (e.g.,

1995. This ?gure avoids focusing on tiny stocks and focuses only on those stocks Which a professional investor could by Without running into liquidity problems. A stock With a market capitaliZation of $27 million in 1950 is the equiva

in proportion With the original proportions. At the end of the

investment information, it is very desirable to use an objec

tive rule-based strategy and system for automating, to the eXtent practicable, the conduct of this decision-making.

The inventor chose $150 million after consulting a trader at a large Wall Street brokerage Who felt it Was the minimum necessary if he Was investing $100 million in 50 stocks in

lent of a $150 million stock at the end of 1994 and each is the equivalent of a stock With a market capitaliZation of $172 adjusted for in?ation. The second stock group includes

Ways. With computers, one can also test combinations of

eXpect in the future from any given investment strategy. History shoWs that traditional active management does not Work. The majority of actively managed funds do not

Market CapitaliZation. The inventor primarily studied tWo groups. The ?rst stock group includes only stocks With a

55

stocks With loW price-to-sales ratios) and clearly and con

sistently punishes others (eg stocks With high price-to-sales

stock in an eXisting portfolio When performing the rebal ancing. A year Was chosen since it is long enough to minimiZe effects of commissions and costs of rebalancing the portfolio. A term as long as tWo years or as short as three

ratios) over long periods of time. A paradoX remains: tests shoW high return predictability, but 80 percent of tradition ally managed mutual funds fail to beat the S&P 500. Models beat human forecasters because they reliably and consis tently apply the same criteria time after time.

60

Stock market decisions and portfolio constructions are served by a methodical scienti?c method. Certain rules help in this process. First, all models must use explicitly stated rules Without ambiguity or alloWance for a private or unique interpretation of the rule. Second, the rule must be stated

65

months could be used as the period after Which one rebal ances the portfolio in accordance With some embodiments of

the present invention. Sharpe Ratios. The inventor uses the Well-knoWn Sharpe ratio of reWard to risk, With higher numbers indicating better risk-adjusted returns. To arrive at the Sharpe ratio, take the average return from a strategy, subtract the risk-free rate of

interest, and then divide that number by the standard devia tion of return.

US 6,317,726 B1 4

3

microcap (capitalization less than $25 million) range. The stocks are too small for mutual fund to buy and far too numerous for an individual to tackle. Large Stocks per formed in a similar fashion to the S&P 500, With slightly

TABLE 1 Standard

Average

Deviation

S&P 500 T-Bills S&P 500 Minus T

14.25% 6.15% 8.10%

12.01% 2.07% 11.68%

Strategy

19.06%

24.37%

T-Bills

Strategy

6.15%

2.07%

12.91%

24.75%

better risk and almost equivalent yield. Computer. The present invention may be utilized on a general purpose computer, such an IBM PC, VAX, Mac or other computer knoWn to those in the art. Additionally, the 10

Minus T

sorting, ?ltering, and criteria could be encoded onto special purpose chips for creating special purpose hardWare for carrying out the present invention. The present invention could be implemented on a Wide area netWork, local area

See Table 1.

The risk-adjust return for the S&P 500 equals 8.10% divided by 12.01% or 67.44.

15

Value Factors include the folloWing: loW price-to

The risk-adjust return for the strategy equals 12.91%

earnings (PE) ratios; loW price-to-book ratios; loW price-to

divided by 24.37% or 52.97.

cash?oW ratios; loW price-to-sales ratios; dividend yields.

Market Capitalization Matters. A comparison of All Stocks (stocks With a market capitalization of more than

20

$150 million) and Large Stocks (stocks With a market capitalization higher than the database average) reveals that

the price by the current earnings per share. The higher the PE, the more investors are paying for earnings, and the 25

of hoW cheap or expensive it is relative to other stocks. $10,000 is invested on Dec. 31, 1951 in the 50 stocks With

the loWest price-to-earnings ratios. The portfolio is rebal

are reinvested, and all variables such as common shares 30

yield, see Table 3 and Table 3A.

Note that Large Stocks With LoW PE outperformed Large 35

stocks’ performance folloWs (in millions ($1M), from an initial investment of $10,000 invested over 43 years) in Table 2 and Table 2A. TABLE 2

anced each year to hold the 50 stocks With the loWest PE

ratios in any given year. For the yield, and risk-adjusted

P. O’Shaughnessy. Published by McGraW-Hill, 1997). A more detailed analysis of hoW capitalization affects

larger the implied expectations for future earnings groWth. A stock’s PE ratio is one of the most common measurements

those strategies using 5-year factors) in millions and the resultant Sharpe Ratio is presented. The portfolio is rebal anced annually. Stocks are equally Weighted, all dividends outstanding are time-lagged to avoid look-ahead bias. For those interested in vieWing more of the underlying data, the inventor suggests that the reader consult his commercially available book, What Works on Wall Street (Author, James

Price-to-Earnings Ratios. For many on Wall Street, buy ing stock With loW price-to-earnings (PE) ratios is a favored indicator. One ?nds a stock’s current PE ratios by dividing

size matters. All Stocks outperformed Large Stocks. For purposes of simplicity in this application, the yield of a SS 10,000 investment over the 43 years (or the 40 years for

netWork, through a dial-up connection to a dedicated machine, through an Internet or Intranet connection.

40

Stocks and had a better Sharpe ratio, While LoW PE All Stocks suffered a Worse return and With Worse risk. Small

companies can have a string of spectacular earnings gains on their Way to becoming large companies. It’s sensible for investors to aWard them With higher PE ratios. Since loW PE ratios indicate loWer investor expectations for earnings groWth, a small company With a loW PE ratio might have

Category

$1M’s

Sharpe Ratio

All Stocks

1.80

47

Large stocks

1.00

45

S&P 500 Cap < $1b 500M < cap < $1b

1.00 .80 .75

44 40

250M < cap < 500M

1.30

$100M < cap < $250M $25M < cap < $100M

1.30 1.70

39 45 42 41

29.10

57

Cap < $25M

very limited prospects. High PE Ratios are dangerous. Both All Stocks and Large Stocks outperform the High PE All Stocks and the High PE Large Stocks. 45

TABLE 3 Category 50

$1M’s

Sharpe Ratio

LoW PE All Stocks LoW PE Large stocks High PE All Stocks

1.23 2.29 .39

37 47 25

High PE Large stocks

.47

29

TABLE 2A Category All Stocks

$1M’s 2.7

Sharpe Ratio

Large stocks

1.6

48

S&P 500 Cap < $1b

1.7 1.6

48 48

500M < cap < $1b 250M < cap < 500M

1.9 3.4

$100M < cap < $250M $25M < cap < $100M

3.4 7.8

47 50 46 48

Cap < $25M

806

TABLE 3A

49

Category

60

64

Although, small cap stocks have been favored in many studies, All Stocks outperforms small caps. A great deal of the bene?t of small cap stocks comes from stocks in the

$1M’s

Sharpe Ratio

LoW PE All Stocks

2.12

40

LoW PE Large stocks High PE All Stocks

3.79 .56

50 27

High PE Large stocks

.65

31

Price-to-book ratios (P/B). Find price-to-book by dividing 65

the current price of the stock by the book value per share. Over the long term, the market reWards stocks With loW price-to-book ratios and punishes those With high ones. See Table 4.

US 6,317,726 B1 6 stock. The result is then multiplied by 100 to make it a TABLE 4 Category

percentage. Thus if a company pays an annual dividend of

$1M’s

Sharpe Ratio

3.59 3.42

47 54

High P/B All Stocks

.29

23

High P/B Large stocks

.56

30

LoW P/B All Stocks LoW P/B Large stocks

$1, and the current price of the stock is $10, the dividend is 10 percent. See Table 7 and Table 7A. TABLE 7 High Yielding Dividends (excluding utilities) 10

TABLE 4A Category

$1M’s

Sharpe Ratio

LoW P/B All Stocks

5.49

49

LoW P/B Large stocks High P/B All Stocks High P/B Large stocks

5.03 .38 .89

56 24 33

20

TABLE 5

LoW P/C All Stocks LoW P/C Large stocks High P/C All Stocks

2.95 3.62 .21

45 53 20

High P/C Large stocks

.55

30

$1M’s

Sharpe Ratio

LoW P/C All Stocks

4.48

47

LoW P/C Large stocks High P/C All Stocks High P/C Large stocks

5.77 .33 .79

56 23 31

annual sales (instead of earnings). Investors Who buy loW PSR stocks buy them because they believe they’re getting a bargain. See Table 6.

30

High PSR All Stocks High PSR Large stocks

$1M’s

Sharpe Ratio

All Stocks

1.6

49

Large stocks

2.90

54

different from their universe With virtually the same risk.

buy higher yielding stocks should stick to large, better knoWn companies, Which usually have the stronger balance sheets and longer operating histories that make higher dividends possible. Small stocks With high dividend yields may be in that position because their prices have fallen. Far from representing a bargain, their high dividend yields may Value Strategy Implications. The forty-three years of data shoW that the stock market methodically reWards certain types of stocks While punishing others. Stocks With loW

40

$1M’s

Sharpe Ratio

5.93 2.55 .07

52 49 11

.41

27

price-to-book, price-to-cash?oW, and price-to-sales ratios dramatically outperform the All Stocks universe. Just as

importantly, those With high price-to-book, price-to 45

cash?oW, and price-to-sales ratios do dramatically Worse. Stocks With loW price-to-earnings ratios and those With high dividend yields fail to beat All Stocks. Buying the 50 stocks With the loWest price-to-sales ratios Was the only strategy

50

The other value strategies came close, With the loW price to-book group matching All Stocks’ Sharpe ratio of 47, and the loW price-to-cash?oW group close behind With a Sharpe ratio of 45. All the Large Stocks value strategies beat the

that beat the All Stocks universe on a risk-adjusted basis.

TABLE 6

LoW PSR All Stocks LoW PSR Large stocks

TABLE 7A

The 50 highest-yielding stocks beat the universe 91 percent of the time over all rolling 10-year periods. Investors Who

Price-to-Sales (PSR). Price-to-Sales Ratios is a good measure. The price of the company is measured against

Category

51

35 be an indicator of more trouble to come.

TABLE 5A Category

2.01

The returns of the high yielding large stocks are entirely 25

Sharpe Ratio

39

Large stocks

Category

tion and amortization. The price-to-cash?oW ratio is the market value of the stock divided by total cash?oW. See Table 5.

$1M’s

Sharpe Ratio

High Yielding Dividends (excluding utilities)

by adding income (before extraordinary items) to deprecia

Category

$1M’s 1.11

15

Price-to-cash?oW (P/C). Price-to-cash?oW is yet another measure of Whether a stock is cheap or not. Find cash?oW

Category All Stocks

Large Stocks universe on an absolute and risk-adjusted basis, and they did so at least 88 percent of the time over all 55

rolling 10-year periods. GroWth investors Want high earnings and sales groWth With prospects of more of the same. They usually are not

TABLE 6A

concerned if stock has a high PE ratio, reasoning that a Category

$1M’s

Sharpe Ratio

LoW PSR All Stocks

8.25

LoW PSR Large stocks High PSR All Stocks High PSR Large stocks

3.85 .09 .64

53 52 12 30

60

GroWth investors often aWard high prices to stocks With

rapidly increasing earnings. One-Year-Earnings-Per-Share Percentage Changes. One 65

Dividend yields. Find a stock’s dividend yield by dividing the indicated annual dividend rate by the current price of the

company can groW its Way out of short-term overvaluations.

year-earnings-per-share percentage changes are a poor lone factor upon Which to base investment decisions. See Table 8 and Table 8A.

US 6,317,726 B1 7

8

TABLE 8

TABLE 10A

1-vear earnin_gs-per-share percentage changi Category

$1M’S

Sharpe Ratio

Best All Stocks

.91

34

Best Large stocks

.39

28

gorstin stosctksks Ors

arge

Category 5

Sharpe Ratio

1.08 1.09

37 43

Best pro?t magins All Stocks Best pro?t margins Large stocks

2:

0C

$1M’s

High return on equity (ROE) is a hallmark of a growth

'

10 stock. One ?nds return on equity by dividing common stock

equity into income before extraordinary items (a company’s income after all expenses but before provisions for dividends). One then multiplies them by 100 to express the

TABLE 8A .

term as a percentage. Ilere is used common liquidating

1-vear earnings-per-share percentage changi

_

_

15 equity (called CEQL 1n Compustat) as a proxy for common

Category Best A11 Stocks Best Large stocks

$1M’s 129

Sharpe Ratio 34

equity As With high pro?t margins, many believe that a high

.57

28

return on equity (ROE) is an excellent gauge of hoW

1'1;

2:

effectively a company invests shareholders’ money. The

I

20 higher the ROE, the better the company’s ability to invest one’s money, and presumably, the better an investment the

The implication is that buying stocks simply because they stock will be_ See Table 11 and Table 11A have great earnings gains is a losing proposition. Stocks With the highest 1-year earnings gains almost alWays have the TABLE 11 highest prince-to-earnings ratios, another indicator that poor 25 performance lies ahead. While their returns are slightly

category

$1M’S

Sharpe Ratio

higher than those With the best earning changes, there is no

compelling theory to justify buying stocks With the Worst

East 58g ‘2111 stoiksk

earnings changes.

es

rge S 00 S

Best 5-year earnings gains. Some analysts believe that a 30 1-year change in earnings is meaningless and that one should focus on 5-year groWth rates. Using 5-year earnings

TABLE 11A

gains as the only determinate Will lead to disappointing results. See Table 9 and Table 9A.

Category 35

TABLE 9

Category Best 5_year earnings gains All Stocks Best 5-year earnings gains Large stocks

$1M’s 35 .37

Sharpe Ratio 26 28

$1M’S

_ Sharpe Ram

Best ROE All Stocks

2.51

41

Best ROE Large stocks

1.14

39

ROE provides an excellent example of the importance of 40 looking at the long-term When judging a strategyjs effec tiveness. An investor just out of college at the end of 1964

studying hoW stocks With high return on equity perform ?nd encouraging evidence. The 50 highest ROE stocks from both the All and Large Stocks universe outperformed their

TABLE 9A Category

is '

$1M’S

Sharpe Ratio

.61

23

45 respective benchmarks in the previous decade. Over the

_ _ Best 5-year earnings gains All Stocks

longer period, however, ROE Was a poor sole performance indicator

Best 5-year earnings gains Large stocks

'

Relative Price Strength. Using strong price momentum as _

I

a determinate runs counter to ef?cient market theories. One

NetPro?t marglns are at} fixcenent gauge of a Company 5 50 cannot use past prices to predict future prices, according to

Operanng e?imffncy and ablhty to compéte Successfully Wlth

ef?cient market theory. Conversely, another school of

other ?rms in its ?eld. Thus ‘many bClICVC' that ?rms With

thought Says one Should buy Stocks that have been most

ingctil pro?t gaging“? bettecr) lnvgsténenti’ 5mg: they are tile

battered by the market. In this application, relative strength

6.21.6.3 1‘!

elf 1n us mes‘

me .n S n? pro

margms ,y

and price performers Will be used interchangeably. See Table

dividing income before extraordinary items (A company s . . - 55 12 and Table 12A for comparison of 1-year relative strength

income after all expenses but before provisions for

h

dividends) by net sales. This is then multiplied by 100 to get a percentage. See Table 10 and Table 10A. History shoWs

C anges'

using high pro?t margins as the only determinate in buying a stock Will lead to disappointing results.

TABLE 12

TABLE 10 Category Best pro?t margins All Stocks Best pro?t margins Large stocks

. 1-year relative strength

6O

Category

$1M’S

Sharpe Ratio

.74 .75

34 4O

65

Best All Stocks Best Large stocks Worst All Stocks Worst Large stocks

$1M’s

Sharpe Ratio

3.31 2.98 .03 .49

43 49 3 29

US 6,317,726 B1 9

10

TABLE 12A

PE ratios beloW 20 and positive earnings gains for the year and bought the 50 With the best 1-year price performance, one Would actually earn less than if one bought the loW PE,

1-year relative strength Category

$1M’s

Sharpe Ratio

Best All Stocks

4.11

43

Best Large stocks

4.43

51

Worst All Stocks

.04

Worst Large stocks

.61

5 30

high relative strength stocks alone. The addition of positive earnings gains hurt performance in this instance. More factors do not necessarily mean better performance.

Buying stocks With strong 1-year earnings gains and strong relative price strength outperforms the All Stocks universe. A tWo-factor model that requires stocks from All 10

While All Stocks Best 1-year relative strength had an impressive yield, it had a high standard deviation and therefore high risk that brought the Sharpe ratio to 43, under the All Stocks universe’s 47. Large Stocks Best 1-year relative strength had an impressive yield With slightly more risk than the Large Stocks universe: the resultant 49 Sharpe ratio is higher than the Large Stocks universe’s 45.

also outperforms the All Stocks universe. See Table 14 and Table 14A.

Category a

goal.

- ear 115 toe k s 1y

$1M’s Sharpe Ratio ains a b ove 250/0; 'g g'

earnin s;

Top 50 1-year price Appreciation (all Stocks) ROE>15; Top 50 1-yearPrice 20

performance is dramatically outperformed by the market. See Table 12 and Table 12A. Instead of focussing on the effects of either a single groWth or value factor, using several factors alloWs one to enhance performance or reduce risk, depending on one’s

TABLE 14

15

Price momentum conveys different information about the prospects of a stock and is a much better indicator than

factors such as earnings and groWth rates. Worst 1-year price

Stocks to have 1-year earnings gains exceeding 25 percent and then buys the 50 With the best 1-year price performance

. 63

50

9.4

55

appreciation All Stocks

1.7

47

(Large Stocks) ROE>15; Top 50 1-year Price

2.3

45

appreciation 25

TABLE 14A

From All Stocks With a PE ratio beloW 20, take the 50

stocks With the best 1 year price appreciation. Or from All Stocks With a price-to-book ratio beloW 1, take the 50 stocks With the best 1 year price appreciation. Either multi-factor

analysis outperforms All Stocks, and outperforms either of

30

Category

$1M’s Sharpe Ratio

(all Stocks) 1-year earnings; gains above 25%; Top 50 1-year price Appreciation (all Stocks) ROE>15; Top 50 1-yearPrice

14.38

56

appreciation

the factors that comprise it (i.e. loW PE ratio or best price appreciation). See Table 13 and Table 13A.

All Stocks

2.68

49

(Large Stocks) ROE>15; Top 50 1-year Price

3.92

49

appreciation TABLE 13 Category

35

This model Was not able to be tested in the Large Stocks

$1M’s Sharpe Ratio

50 Stocks With PE ratios beloW 20 and best 1

8.6

55

50 stocks With price-to-book ratio beloW 1 and

10.6

61

best 1 year price appreciation All Stocks PSR