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Determinants of performance for growth mutual funds
Item Type text; Thesis-Reproduction (electronic)
Authors Basist, Robert, 1927-
Publisher The University of Arizona.
Rights Copyright © is held by the author. Digital access to this materialis made possible by the University Libraries, University of Arizona.Further transmission, reproduction or presentation (such aspublic display or performance) of protected items is prohibitedexcept with permission of the author.
Download date 14/03/2021 13:09:23
Link to Item http://hdl.handle.net/10150/318235
DETERMINANTS OF PERFORMANCE FOR GROWTH MUTUAL FUNDS
. by .Robert Basist
A Thesis Submitted to the Faculty of theDEPARTMENT OF FINANCE, INSURANCE, AND
REAL ESTATEIn Partial Fulfillment of the Requirements
For the Degree ofMASTER OF SCIENCE
WITH A MAJOR IN FINANCEIn the Graduate College
THE UNIVERSITY OF ARIZONA
1 9 7 1
STATEMENT BY AUTHOR
This thesis has been submitted in partial fulfillment of requirements for an advanced degree at The University of Arizona and is deposited in the University Library to be made available to borrowers under rules of the Library.
Brief quotations from this thesis are allowable without special permission, provided that accurate acknowledgment of source is made. Requests for permission for extended quotation from or reproduction of this manuscript in whole or in part may be granted by the copyright holder.
SIGNED:
APPROVAL BY THESIS DIRECTOR This thesis has been approved on the date shown below:
alter K. Kirk ~T DateProfessor of Finance, Insurance,
and Real Estate
COPYRIGHTEDBY
ROBERT BASIST 1971
ACKNOWLEDGMENTS
I should like to express my sincere gratitude to Dr. Walter K. Kirk for his advice, encouragement, and constructive criticism during the writing of this thesis. I am also grateful to Dr. James E. Wert for arranging computer programming assistance. Dr. John T. Emery and Dr. Jean E. Draper for their ideas on quantitative analysis. Special thanks are due Dr. Richard W. Hansen for his advice regard- , ipg thp ..questionnaire, Mr. Ronald W.. Chorba for his computer programming assistance, Mrs. Josephine A. Engle for her assistance with the mailing of the questionnaire, and Mrs.Ruth D. Shuping for typing the final copy of the thesis.
In addition, my heartfelt thanks go to my wife, Rita, who supported my decision to return to academic life, kept the children quiet, and assisted me with the tabulating of replies to the questionnaire and the typing of the drafts of the thesis.
TABLE OF CONTENTS
PageLIST OF TABLES . . , - . / . . . . . . . . . . . ixABSTRACT ... •. . . . . . . . •.......... xi
I. INTRODUCTION . . . ... . .. . . ' 1Purpose of the Paper . . . . . . . o . . , 1Background and Review of Literature . . . 1Guide to the P a p e r ............... 5
II. METHODOLOGY . . . . . . . . . . . . . . . . . 7Statistical Definitions . .•. . . . . . . 7Data . 8Statistical Methods . . . . . . . . . . . 9
. ..j?03r JQSlsLel • .♦ . * » o . e © . 9Null Hypothesis . . . . . . . ............ 10Chi-Square Test. ......................... 11Computer Processing . . . . . . . . . . . 12Limitations of the S t u d y ............ 12
III. THE DEPENDENT VARIABLE - PERFORMANCE .. . . . . 18Over-emphasis . . . . . . . . . . . . . . 18Measurement . . . . . . . . . . 19Comparison with Market Averages ......... 20Risk . . . . . . . . . . . . . . . . . . . 20
IV. THE INDEPENDENT VARIABLES ................. 23Co-movement with Market Averages . . . . . 23Asset Size . . . . . . . . . . . . . . . . 24New Money . .......... . . ........ 26
The Positive S i d e ........ .. 26The Negative Side ........ 28
Incentive Fees . . . . . . . . . 29No-Load Funds . . . . . . . . . . . . . . 31Stock Manipulation, Shortage and
Turnover . . . . . . . . . . . . . . . . 31
" v
viTABLE OF CONTENTS— Continued
. ' •PageManipulation............ ............ 31Stock Shortage.............. . 34Stock Turnover . „ 35
V. EMPIRICAL RESULTS . . . . . . . . . . . . . . . 37General . . . . . . . . . . . . 37Evaluation of Liquidity of Mutual Funds
Two "Down" Years, 1966, 1969 . . . . . . 39Evaluation of "Dow Jones Earnings,"'
Three "Up" Years, 1965, 1967, 1968 . . . 41Evaluation of Low Expense Ratio,
Three "Up" Years, 1965, 1967, 1968 .... 43• Evaluation of "Concentrating Funds in
the Blue Chip Stocks," Three "Up"'Years, 1965, 1967, 1968 . . . . . . . . 45
Evaluation of "Positive Cash Flow IntoFund"' Five Years, . 1965-1969 ...... .... 47
Evaluation of Two Most Important Factors— Singularly Five Years,'1965-19'69, Three '"Up" Years , 1965,1967, 1968; Two. "Down" Years, 1966, 1969 49
Evaluation of Two Most Important Factors—Factors Considered in Combintation Five Years, 1965-1969; Three ""Up" Years,1965, 1967, 1968; Two "Down" Years,1966, 1969 . . . . . . . . . . . . . . . 56
Evaluation of "'Percent New Cash"Three "Up" Years, 1965, 1967, 1968 . . . 59
Evaluation of "Date Shares Offered"Three "Up"' Years, 1965, 1967, 1968 . . . 61
Evaluation of "Load Versus No-Load Funds™Three "Up" Years, 1965, 1967, 1968 . . . 63
VI. SUMMARY AND CONCLUSIONS ............. 65Suggested Areas for Future Study . . . . . 67
APPENDIX A: QUESTIONNAIRE AND COVER LETTER . 69APPENDIX B: CLASSIFICATION OF INDEPENDENT
VARIABLES . . . . . . . . . . . . 72APPENDIX C: COMPLETE LISTING OF FUNDS
COVERED IN THE STUDY . . 73
V l l
TABLE OF CONTENTS— ContinuedPage
APPENDIX D; EXTRACT FROM CHI-SQUARE VALUEST A B L E ....................... . . 76
APPENDIX E: MASTER RESPONSE TABLE, RECAP OF :COMPUTED CHI-SQUARE VALUES . . 77
APPENDIX F: DATA PROCESSING CODING SHEETAND NUMBER OF FUNDS IN EACH CLASSIFICATION 80
APPENDIX G: MAIN DATA CARD FORMAT . . . . . . 81.APPENDIX Ht MASTER CODE LISTING - DESCRIPTION
OF DEPENDENT AND INDEPENDENT VARIABLES .......... 82
APPENDIX I: MASTER RESPONSE TABLE— RECAP OFREPLIES TO QUESTIONNAIRE . . . . 86
APPENDIX J; MASTER RESPONSE TABLE— PERFORMANCE MEAN, MEDIAN AND NUMBER OF FUNDS BY INDEPENDENT FACTOR AND CLASS . ■ 89
APPENDIX K: PERFORMANCE TABLE BY THIRDS FORALL PERIODS . . . . . . . . . . . 94
APPENDIX L: COMPUTER RUN - FUND PERFORMANCEAND RANK . . . . . . . . . . . . 96
APPENDIX M: COMPUTER RUN - LIQUIDITY OF MUTUALFUNDS, TWO "DOWN"' YEARS (B-6) . . 103
APPENDIX N: COMPUTER RUN - DOW JONES EARNINGSTHREE “UP" YEARS (B-9) . . . . . 105
APPENDIX 0: COMPUTER RUN - LOW EXPENSE RATIOFOR THE FUND, THREE “UP,r YEARS (C-2) 107
APPENDIX P: COMPUTER RUN - CONCENTRATINGFUNDS IN THE BLUE CHIP STOCKS (C-9) . . . . . . . . . . . . . . 109
APPENDIX Q: COMPUTER RUN - POSITIVE CASH FLOWINTO FUND, FIVE YEARS (C-13) . . Ill
V l l l
APPENDIX R: COMPUTER RUN - TWO MOST IMPORTANTFACTORS - SINGULARLY, COMPUTER CODE NO. 39 . . . . . . . . . . . 113
APPENDIX S: COMPUTER RUN - TWO MOST IMPORTANTFACTORS - COMBINATION SAMPLE FOR 3 "UP" YEARS . . . . . . . . . . . 117
APPENDIX T: COMPUTER RUN - PERCENT NEW CASH,THREE "UP"' YEARS, COMPUTER CODENO. 52 . . . . . . . . . . . . . 121
APPENDIX U: COMPUTER RUN - DATE SHARESOFFERED, THREE "UP" YEARS,COMPUTER CODE NO. 6 . . . . . . . 123
APPENDIX V: COMPUTER RUN - LOAD VERSUSNO-LOAD FUNDS, FIVE YEARS,COMPUTER CODE NO. 7 . . . . . . . 125
REFERENCES 127
LIST OF TABLES
Table Page1. ' Probabilities of Gain in Value of Common
Stocks Since 1870 Based on the Standard and Poor's 500 Index of IndustrialStock Prices .. . . . o <, . «, » o . » . . , 3
2. Annual Performance Results of Funds(1962-1969) 21
3. Accumulative Performance Five Year TimePeriods (1962-1969).......... . . . . 21
4. Growth Mutual Fund Performance with CapitalGains Reinvested Plus Income DividendsReceived in Cash . . . . . . . . . . . . . . 27
. .. 5. -*N-et '»l>s*s.uanC'e-»a?nd-'Met ‘PurGha*s*es -of Equities . . 356. Comparison of 69 Growth Mutual Funds with
Standard & Poor's 425 387. Two "Down" Years, 1966, 1969: Liquidity of
Mutual Funds . . . . . . . . . . . . . . . . 408. Three "Up"' Years, 1965, 1967, 1968:
Dow Jones Earnings . . . . . . . . . . . . . 429. Low Expense Ratio for the Fund;
Three '"Up'" Years, 1965, 1967, 1968 ........ 4410. Three "Up"5 Years, 1965, 1967, 1968:
Concentrating Funds in the Blue Chip Stocks 4611. Five Years 1965-1969: Positive Cash Flow
Into Fund . . . . . . . . . . . . . . . . . 4812. Most Important Two Factors: Expected and
Observed Frequency . . . . . . . . . . . . . 5113. Most Important Two Factors: Performance
. by Factor . . . . . . . . . . . . . . . . . 53ix
LIST OF TABLES--Continued Table Page14, Two Most Important Factors—
Factors Considered in Combination 5715, Three "Up"' Years, 1965, 1967, 1968:
Percent New C a s h ....... 6016, Three "Up"' Years, 1965, 19 67, 1968:
Date Shares Offered 6217, Three "Up"1 Years, 1965, 1967, 1968:
Load Versus No-Load Funds . . . . . . . . . . 64
ABSTRACT
The study analyzed factors that may have influenced the medium term performance of growth mutual funds for the five year period of 1965-1969. The author reviewed relevant literature, then evaluated published facts and 69 replies to a mailed questionnaire.
The statistical analysis used in the study covered the chi-square test, arithmetic mean, standard deviation, coefficient of variation, median, range, quartile deviation, and geometric mean. Growth mutual fund performance (not adjusted for risk) as measured by the geometric mean of yearly growth was the dependent variable for the chi-square tests. The 34 independent variables were chosen on a, priori basis.A separate computer analysis was completed for the full five years, one for the three "up" years, and another for the two "down" years.
The null hypothesis states that there is no statistically significant relationship between the performance of growth mutual funds and its procedures, policies and inherent characteristics. The null hypothesis was accepted in 94 instances and rejected in eight cases.
CHAPTER I
INTRODUCTION
Purpose of the PaperThe purpose of this paper is to attempt to ascertain
the determinants of performance for growth mutual funds.^The study was based on 69 growth mutual funds operating from 1965 through 1969.
Background and Review of LiteratureIt is generally assumed within the mutual fund indus
try that medium and long term performance results of a growth mutual fund depends on the following:
1. Objectives, policies and investment techniques employed by the investment advisors.
2. The general movement of the stock market.3. Outside environmental factors, such as the per
centage of new money to assets invested in the mutual fund and legislation limiting investment action, etc.
1. A growth mutual fund is a company that specializes in investing the money of its shareholders in the securities of many companies, with the objective of maximizing long term growth of capital, as contrasted to maximizing dividend and interest income. For this study, the final determination of whether a mutual fund was a growth fund was based on Wiesenberger (Supplement, 6/30/70) and Lipper (Supplement, 10/8/70) .
1
24. Probability— the longer the time period the
greater the chance of gain. For example (Table 1), for the 95 five year investment periods since 1870, there were 68 periods of gain in value and 27 periods of loss of value, or a 72% chance of gain in value as measured by Standard and Poor's index of industrial stocks (Brevits 1970).
Perhaps the most comprehensive study of all aspects of the mutual fund industry was prepared for the Securities and Exchange Commission (Wharton School of Finance and Commerce, 1962, pp. xi, xiii., 18, 19, 20, 31, 32). While this study did not cover the period of 1965 through 1969, many of the conclusions regarding performance are pertinent to thisz - - ' 'report. Erere are some of' the ma j or f indings:
". . . no relationship was found between performance and the amount of the management fee or the amount of the sales charge."
" . . . there is a significant positive correlation between the size of the sales charge and the rate of inflow of new money into the individual funds."
"Performance records, unadjusted for portfolio composition, of the smaller funds were somewhat inferior to those of the other funds, but these differences can again be largely explained by differences in portfolio structure."
"The analysis revealed no strong relationship between turnover rates and performance, either when the variables
3TABLE 1
PROBABILITIES OF GAIN IN VALUE OF COMMON STOCKS SINCE 1870 BASED ON THE STANDARD AND POOR'S
500 INDEX OF INDUSTRIAL STOCK PRICES
Length of Investment
PeriodNumber of Periods
Since 1870Periods of Gain in Value
Periods of Loss in Value
Periods of No Change in Value
Chance of Gain in Value
30 years 70 0 0 100%20 years 80 76 4 0 95%10 years 90 77 13 0 86%5 years 95 68 27 0 72%1 year 99 58 40 1 - 59%
' Were ' exairvirmtl "for' the 'same 'tlm'e period or when performance lagged one year behind turnover.11
If investors are conscious of the performance records of the various funds, they might be expected to direct their purchases toward the funds that have been the most successful. If this be the case, there should be a positive relationship between performance in one period and net inflow in a later period. Annual, figures, with inflow lagged one year behind performance, do reveal a weak positive pattern among the common stock funds but no relationship among the balanced funds. Cumulative figures for the entire five and three quarter years show a strong positive pattern.
A priori it has been argued that shareholders (i.e., of larger size funds) benefit from increased diversification or risk and the ability of the advisor to afford more substantial facilities and able personnel ; but it has been pointed out on the other side that small or moderate sized portfolios contribute to the flexibility of portfolio adjustments in the light of changing circumstances. Since neither average performance nor variability of
performance has been significantly related to size of fund, neither of these considerations appear to have been decisive.
Another recent definitive study covering the mutual fund industry (Friend, Blume and Crockett 1970) found that for the period 1960-1968, fund size, sales charges, management expenses, portfolio turnover, and investment objectives showed no consistent relationship with investment performance properly adjusted for risk. One mutual fund research director (Fortune 1968) supported these findings when he stated categorically that he saw most of the studies and not one shows that any factor has any predictable effect on performance.
?- - -A. “le-ad-ing - 'Spokesma'n ‘'f-or •- -the indus try - (Bogle, Funds cope, 197.0a) found that performance of funds as a group in relation to the market can be predicted. He reported that the balanced funds go up and down on the ratio of about seven-tenths as much as the market, and the aggressive growth funds do the same on the basis of about 1.3 or 1.4 times the market.
In an article (Business Week September 13, 1969) concerning the Arthur Lipper Corporation> a financial writer tells of a study called Portfolio Performance Perspective to evaluate mutual funds, and to assess individual portfolio managers. The study will measure quality of portfolio holdings against their liquidity and scrutinizes turnover ratios.
To evaluate the reasons why one growth mutual fund performs better than another involves an analysis of the
decision-making process within the investment management firm, its operating practices and external factors such as asset size. The decision-making process or investment framework of a portfolio manager may include a review of the strength of the economy and the stock market itself and a fundamental and/or a technical analysis of the industry and the individual company. In the general area related to the economy and the stock market, eight factors were evaluated (Appendices A and B). Since the area of general operating practices and conditions of growth mutual funds has not been thoroughly investigated to date, it was decided that the report should concentrate on this aspect— 26 factors were evaluated. In view of the many thousands of reports and books covering individual stock and industry selection, this report will not review this general area.
Guide to the Paper The paper is divided into six chapters.Chapter I, introduction. This portion of the paper
outlines the purposes of the study and reviews past literature concerning performance of growth mutual funds.
Chapter II, Methodology. This section opens with statistical definitions, then discusses the statistical tests, hypothesis and the questionnaire. The section concludes with an analysis of the statistical shortcomings.
Chapter III, Dependent Variable-Performance. This chapter reviews the background of performance and the factors that may be related to performance«
Chapter IV, The Independent Variables. This chapter examines six independent variables, including the two found to have a significant relationship with performance.
Chapter V, Empirical Results. This chapter presents the major statistical findings of chi-square and performance median for all three periods.
Chapter VI, Conclusions and Recommendations. This chapter analyzes the results of the statistical tests, summarizes the conclusions and advances a number of recommenda- tions for 'future studies.
CHAPTER IT
METHODOLOGY
Statistical DefinitionsStandard Deviation; Square, root of the sum of the
squared deviations from the arithmetic mean, divided by the number of items. The standard deviation is a measure of dispersion.
Coefficient of Variation: The standard deviation divided by arithmetic mean, expressed as a percentage. It mea-s.unes ...relative, dispersion and is used ..when ..making comparisons.
thGeometric Mean: The n root of the.product of numbers . The geometric mean is regarded as a better measure of relative price change performance than the "arithmetic mean," which is the sum of the items divided by their number.Briefly, it is felt the geometric mean.is the most descriptive representation of compound cumulative returns over time.
Median: The middle point of a distribution when arranged in order of magnitude. Half the distribution is found above the median and the other half is found below. The median is considered a better measure of central tendency if the distribution is skewed.
7
: 8Quartile Deviation: Another measure of dispersion
of a distribution. It is one-half the distance between the first quartile and the third quartile.
Null Hypothesis; A proposition stated in a negative form. A general statement of the null hypothesis is that there is no significant difference between two statistical measures, for example, observed and expected frequencies. If the null hypothesis is true, any difference between the two statistical measures is due to chance.
DataThe listing of all operating growth funds was obtained
from Wiesenberger (1970) and Lipper (1970) supplements to their guides. The Mutual Fund Guide (Fundscope April 1970) listed the year when the fund first began offering shares.If the offering date was prior to 1965, a questionnaire and covering letter (Appendix A) were mailed on October 26, 1970. If a reply was not received by November 9, 1970, a follow-up letter was sent. A total of 124 questionnaires were mailed, with 69 replies received (56%) (Appendix C). Yearly performance figures, including all distributions, ware obtained from the Fundscope (April 1970) while the five year total performance figures, with dividends added at the end of the five years, were secured from Investment Companies 1970 (Wiesenberger 1971).
„ , ' ' 9The selected five year time span of 1965 through 1969
encompasses three "up" years and two "down" years. For analysis , in addition to the five year period taken as a whole, the performance for the three "up" years and the two "down" years are analyzed separately.
Information on asset values, load or no-load, and incentive fees, were secured from Fundscope (April 1970).
Statistical MethodsThe statistical measures utilized in this study are:
(1) Chi-Square independence test, (2) Arithmetic Mean, (3) Standard Deviation, (4) Coefficient of Variation, (5) Median, (6) Range, (7) Quartile Deviation, (8) Geometric Mean, and (9) Percentages. "
The geometric average to measure growth mutual fund performance does assume the automatic reinvestment of all capital gains and dividend distributions and has the advantage of placing all funds on the same comparative basis, regardless of how much or when they distribute their capital gains and dividends. In short, while the geometric average has shortcomings, it may be the best method available to compare performance of one growth mutual fund with another.
FormulaThe generally accepted method of measuring a fund's
performance is to compare the net asset value at the end of the year, including any dividends and capital gains
10distributions with the net asset value at the beginning of the year. In terms of a formula (Cohen and Zinbarg 1967, p. 631):
N.A.V. Dec. 31 + Dividends Formula #1-------------- h------------L _ iN.A.V. Dec. 31, t _1
For a period longer than a year (Badger 1969, p. 584) performance can be computed by multiplying the yearly results (Formula #1) to produce a chain index. For example, two successive years of 10% and 20% followed by a year of a net loss of 10% would become 1.10 x 1.20 x .90 = 1.18 (slightly less than 6% annually compounded). He recommended the compound interest assumption for intercompany comparisons whenever the annual rates vary widely or include a year of negative return.
Null HypothesisThe null hypothesis was established as follows: There
is no statistically significant relationship between the performance of a growth mutual fund and its procedures, policies, and inherent characteristics. The validity of the null hypothesis was judged at the .05 level of significance.^
1. At the .05 level of significance, there is a 5% probability that the null hypothesis is rejected when it should have been accepted.
11Chi-Square Test
The chi-square test of independence has been used to test the null hypothesis. The formula for computing chi- square is (Mason 1970, p. 102):
x2 = £ (Fo ~ F e ) 2where = sum of
fo = observed or actual resultsfe = expected frequency Formula #2x2 = chi-square value
By using the chi-square formula and by referring to standard published tables (Appendix D) it was determined with a certain degree of confidence, whether the difference in the actual results (observed frequency) from expected results could have occurred as a result of random sample variations (pure chance). If the computed chi-square.value is larger than the value shown in the table the null hypothesis is rejected (hypothesis is not true) and it was concluded with a 95% degree of confidence that there is a correlation (not necessarily causal) between the dependent variable (performance of the growth mutual fund) and the independent variable (Sharpe 1970, p. 40).
The original tests classified performance (the dependent variable) into quartiles. However, it is recommended for a chi-square analysis to have a minimum of five cells with five or more expected frequencies in each cell and to consistently partition the dependent variable. Therefore, it was found necessary to divide the dependent variables into
12three classes rather than four. A chi-square test was run for each independent variable (Appendix E).
Computer Processing Data for the study was secured from results of a
mailed questionnaire (Appendix A) and statistics published in such publications as Wiesenberger's Investment Companies
X
and Fundscope _(Wiesenberger 1970; Fundscope April 1970). The inputs to the program consisted of two sets of 69 data cards, each containing information about one fund (Appendices F and G). After reading all the data, the growth mutual funds were separated into thirds by performance.
For those determinants that had a fixed number of responses, such as yes, no, very important, somewhat important, not important, the chi-square test for independence was used in addition to the generally accepted parametric and nonpar ametric statistical tests of central tendency. Those determinants that had no specific set of responses such as average fund assets, or annual percent of new cash, etc., were handled by grouping. Consideration was given to the number of responses, generally accepted industry practices, and the limitations of chi-square analysis.
Limitations of the Study1. While the date that the investment advisor started
managing the growth mutual fund appears on the completed
13questionnaires, if the date were fewer than five years it was not used to reduce the performance period.
2. The percentage figure for new cash for each fundis at best an estimate. A more accurate figure could be obtained by basing the percentage of new money figures on an annual basis rather than on the beginning and ending values.By adjusting the 1965 asset value to reflect performance gains, the partially tentative, assumptions were made that:
a. realized capital gains and dividends were not distributed (Casey 1969, p. 7).
b . the asset base remained constant.3. The determination as to whether a fund was con-
-*si-dered- -a * •growth -fund -was—ba-s»ed entirely on -w i es-enbe r g e r (Supplement 6/30/70) and Lipper (Supplement 10/8/70) reports. Therefore, there may be funds included in the growth fund category which were not growth funds for the full five year period.
Over the years there have been a number of attempts to segregate growth- mutual funds into narrower classifications, depending on past investment policies and objectives of the management (Leuthold 1971, pp. 9, 22). In the judgment of the editors of Wiesenberger1s Investment Companies (Wiesen- berger 1968, p. 114) groupings are somewhat arbitrary. The editors of Forbes magazine in their annual Mutual Fund issue (Forbes 1970, pp. 51-68) separated stock funds from balanced funds but did not classify stock funds into separate groupings based on volatility, objectives, or characteristics.
■ ■ • 14Considering these facts it was decided to have only one group ing covering all growth mutual funds„
4. Some of the fund managers' replies to the questionnaire may be only their estimates or educated guesses as to how they operated (or should have operated) for the five year period.
5. Although the responses to the questionnaire far exceeded original estimates, those fund managers who did notcomplete the questionnaire may have had a reason not to respond, such as poor performance, or a desire not to reveal their superior ideas, etc.
6. In view of the great difficulty in combining stan dafd market averages covering the New York Stock Exchange and the American Stock Exchange, and the fact that percentage changes of most market averages over a medium and long term period are reasonably close (Wiesenberger 1968, p..411), a decision to use one of the more comprehensive averages. The Standard and Poor's 425 was made.
7. Many of the determinants may have a strong correlation with each other in addition to the dependent variable. For example, the fact that a growth mutual fund is a no-load fund may relate to the flow of new cash, asset size and expense ratio. The statistical analysis did not separate this co-variation of independent variables.
8. Making comparisons of growth mutual funds with any unmanaged popular market average, considering that the
15growth mutual fund has an investment objective, while the market average does not, is somewhat unrealistic. Further,- the market averages do not take into account the expenses of managing and operating a growth mutual fund or the necessity for the fund management to keep a portion of the funds in "near cash" to cover redemptions, which 'may not contribute to. superior performance (Brady 1968, p. 5).
9. It would seem that in the professions there aremany keys to successful performance. For example, sound judgment, keen intelligence, superior knowledge and hard work and organization of management, are essential.
In the opinion of Charles Ellis (1968, p. .45) thedifference in performance of one mutual "fund over another maybe due to internal management organization. It is his judgment that to secure maximum staff performance it is essential to properly organize management procedures. While his article did not attempt to demonstrate any statistical correlation, it is his opinion that a competent portfolio manager has important advantages over a committee type organization. Unfortunately, it is difficult, if not impossible, to accurately measure these management factors for the purpose of running any meaningful statistical studies.
10. a. Length of Period. The determination of meaningful time span is difficult. In an article in Barron's (Leuthold 1971, p. 13), the author states that a meaningful time span is basic when viewing past performance. He makes
16the point that selecting a mutual fund based on a one year record or for only a bull or bear market period is not proper. If the past performance of a growth mutual fund is useful at all to judge future performance, it would seem that the longer the period covered the more functional the figure.This view is supported by one writer (Murray 1965, p. 61), who suggested that only the long term filters out the distortions and permits a proper assessment of the performance of a fundi
b. Is Period Representative. To secure the largest possible sample of growth mutual funds, it was arbitrarily decided to select the 1965-1969 five year period. This period included three "up" years and two "down" years and may not represent other five year periods, past or future. For example, the period selected included wide market fluctuations, heavy market volume, and large sums of new money invested in mutual funds which may have given the growth mutual funds the opportunities for superior performance (Barnes 1965, p. 65).
c. Specific Dates. A review of the records of growth mutual funds indicates that total performance in addition to other factors is influenced by the beginning and ending dates for the period. For the typical fund the high-low performance range of 1.7 for all five year periods over the past 21 years ending December 31, 1969 is extremely wide (Fundscope May 1970, p. 40).
17In short, regardless of how rigid or thorough the
analysis of this past performance data is, the findings apply only to the specific period investigated and there is no implication that the results of the study should be interpreted to cover or anticipate other periods of operation (Bogle, Financial Analysts Journal, 1970b).
CHAPTER III
THE DEPENDENT VARIABLE - PERFORMANCE (APPENDIX H)
Over-emphasis Many in the industry feel that the over-emphasis on
performance should be blamed on the Wharton School study\
(1962) which concluded that the typical mutual; fund was doing no better than the Dow Jones Industrial average. The fund managers at the time replied that the purpose of a mutual fund was to provide diversification and safety and growth commensurate with the economy and not to take on the extra risks of trying to out perform the market averages.
Over the past five years, the cult of beating the market averages did get out of hand (Smith 1968). However, prior to the advent of the over-reaching for performance, many of the growth mutual fund managers methodically placed their customers' money into the blue chip stocks with very little effort on their part to secure superior performance. Perhaps in the 19701s a sense of proportion will permeate the industry and there will be less attempts to try to predict short term market moves (Fundscope October 1970).
19Measurement .
The dependent variable of performance over time may be calculated in many different ways. The generally accepted method for measuring mutual fund performance (P) for a one year period is (Wharton School 1962) :
NAt+1+DI+DC Formula #3■ NAt
= Net assets per share at close of periodNA . = Net assets per share at beginning of periodDI = Dividends per share from investment income
during periodDC = Distribution per share from profits realized
in sale of securities during periodFor a time series (multiplying annual performance
..figures), a ..number of ..questions arise.., such as:1. Should either or both realized income and capital
dividends be compounded at the end of each yearly or quarterly time period?' . ‘
2. Is the mean performance a superior method forcalculating a measure of central tendency?
3. Should the base (numerator) be the beginning, ending or average net asset value?
An analysis of most methods of calculating the performance of a growth mutual fund, while interesting, probably would not materially change the conclusions of this study. Therefore, an arbitrary decision was made to measure "management performance" which shows what management did with the money available and does deduct the management fee and any
20
incentive fees from yearly performance« Calculations were based on the generally accepted method (Formula #3) for computing yearly performance with the time series calculated by multiplying yearly performance, including all cash dividend distributions added back at the end of each year.
The performance of the Standard and Poor's 425 was ../ . - • " selected as an appropriate standard for a hypothetical unmanaged stock portfolio and performance was calculated using the index numbers and adding annual adjusted dividend figures (Standard and Poor's 1967, 1970).
Comparison with Market AveragesPerformance statistics shown in Fundscope (April 1970)
comparing their listing of growth funds with an "’adjusted"Dow Jones Industrial average for the years of 1962 through 1969 are pertinent (Tables 2 and 3).
RiskWhile some academicians such as Jensen (1968) may
agree that the risk-return dimensions of a portfolio may be measured, recently there have been doubts expressed as to the validity of these measurements for more than one period of performance (Wippern, Williamson, and Bower 1970).
As an example of the controversy in the field regarding risk, Seligman (1966) reported in a talk that his own investigation had yielded these results:
21
TABLE 2ANNUAL PERFORMANCE RESULTS
OF FUNDS (1962-1969)
Year 1962 1963 1964 1965* 1966* 1967* 1968* 1969*
D.J.I.A. -7.3 adjusted by Fundscope for dividends
+ 20.0 + 18.1 +13.8 —15.1 +18.3 + 7.3 -11.1
Growth Funds -18.5- ad jus ted. for Capital gain + Income Distributions
+ 19.5 + 10.5 + 27.7 -5.4 +44.7 +19.6 -16.1
*The years covered by this study.
TABLE 3ACCUMULATIVE PERFORMANCE FIVE YEAR
TIME PERIODS (1962-1969) (Calculated from above annual figures)
1962 thru 1963 thru 1964 thru 1965 thru Year 1966 1967 1968 1969*
D.J.I.A. adjusted by Fundscope for dividends
+27% +62% +45% +10%
Growth Funds adjusted for Capital gain + Income Distributions
+ 29% + 128% + 131% + 75%
*The years covered by this study.For the 1965-1969 period similar calculations using .
the Standard and Poor's 425 results in a yearly gain of 5.3%, including capital gains and dividends (Levy 1968, pp. 77-79).
22
When corporations which were in existence through the period 1929 to 1961 were classified by size and by Moody's quality ratings as of 1929, the rates of return on the larger of the higher quality corpora-
. tions were only moderately lower than for other corporations. . . . These small differences wouldpresumably be decreased and might disappear if they were adjusted for the influence of unsuccessful firms which did not weather the vicissitudes of the 1930's or later years. I have found even less evidence of an inverse correlation between quality and yield . . . in recent years.
In a 1971 unpublished study (Basist 1971) covering ■ the Standard of Performance for Growth Mutual Funds the author reviewed many of the major studies concerning the measurement of investment risk and concluded that the techniques for measuring risk, and indeed whether there is a "risk premium," are not generally accepted by the academicians and the practitioners in the industry (Richardson 1970, pp. 88-89). Other factors are that:
a. The study covers only growth mutual funds which generally have similar objectives, methods and risk characteristics (Treynor 1965)
b. The measurement of risk of growth mutual funds would entail an analysis of ex post data which may not be measuring objectives.
In view of the uncertainty about the risk-return relationship, it was decided not to introduce risk as a factor for this study.
CHAPTER IV
THE. INDEPENDENT VARIABLES (APPENDIX H)
Co-movement with Market Averages Sharpe (1966, pp. 127, 136, 137) observed that almost
90% of the variance of the return on the typical mutual fund (all types included) during the period of 1954-1963 was due to its co-movement with the Dow Jones Industrial Average. To compare performance, he compared the group average with the Dow Jones Industrial Average. He said (Sharpe 1970, pp. 161- ,162).. in-«a-'bat er ..art io le that .as, a, result -of -portfolio diversification the performance of most mutual funds was highly correlated with the standard market averages. After reviewing a study of Michael C. Jensen, Sharpe suggested that approximately 85% of the variance of a mutual fund could be attributed to fluctuations of the market (Treynor 1966).
Another writer (Fama 1965, p. 92) also concluded that the average fund seems to do no better than the market and individual funds do not consistently outperform other funds. Five years later a similar conclusion was expressed by another author (Kahn 1970, pp. 11, 66) when he acknowledged that the average fund does not do very much better than the market averages over a full market cycle.
23
24
It is generally agreed that prior to 1960 most growth mutual funds did follow investment policies similar to trust companies and pension funds. As a partial result of this conservative investment policy the performance of the growth mutual fund closely matched the movement of the popular market averages. However, in the 1960's the concept of maximizing growth permeated the policies of many of the growth mutual funds as a result of fund rivalry, the 1962 "Study of. Mutual Funds'1" (Wharton School 1962) , ebullient business climate and other factors. Many growth mutual funds engaged in such speculative practices as purchasing letter stock (stock purchased under market value with restrictions as to time of -sale) , rapid -portfolio turnover, buying the equities of companies in operation for only short periods of time, buying “new issues,“ and margin buying. In short, after 1960 there was a greater probability that the performance of the growth mutual funds would differ from the popular market indexes.
Asset Size -Many of the professionals, such as Douglas B. Fletcher,
in the mutual fund industry suggest that the relative rankings of the best performing funds change over a period of time as a result of asset size (Business Week May 3, 1969). Their reasoning is that while top performance attracts more new money, this very fact carries with it the seeds of its own destruction. This loss of opportunity (Laurence 1969,
25pp = 189—190), is partly due to the restrictions in The Investment Company Act of 1940 which limits the percentage invested in any one company. Laurence opined that the larger fund is forced to diversify and to purchase shares in well-established firms which are less volatile and restricts the opportunity to secure superior performance that attracts investors.
This same judgment was expressed by the editors of Business Week (May 3,.1969, pp. 76-78) along with the comment,11 It is an ax ion of Wall Street that large funds lose their agility in the market, and other quasi-legendary figures of the fund business have been bowed by size - Edward C. Johnson II, Jack J. Dreyfus, Jr., and Gerry Tsai, among them."
Concerning legislation which may limit performance.The Investment Company Act (1940) prohibits the mutual fund from putting the first 75% into positions larger than 10% of the outstanding shares of any one corporation and it may not invest more than 5% of its own assets in any one company.There is no prohibition on the mutual fund from investing the balance of 25% in one company. The other major legislation (Fundscope October 1970, p. 11) that may affect the performance of a growth mutual fund is the Internal Revenue Code.The Code allows the mutual fund to avoid double taxation on realized capital gains and dividends (i.e., once at the corporate level and again after being distributed to their shareholders), by distributing 90% of its taxable income to shareholders.
26A contrary finding to Business Week is advanced in a
study (Wiesenberger 1970) which segregates growth mutual funds having, assets over 300 million dollars as of the 1968 year end. All growth mutual funds having less than 300 million dollars assets are considered "small.re
For the five year period of 1965 through 1969 there would not appear to be a significant difference in performance in the small versus the large growth mutual fund (Table 4) as defined by Wiesenberger. Along these lines, while intuitively it seems that the smaller fund may have the edge due to more opportunities that may be available, it should be pointed out that although the stock purchases of large funds may be restricted to the larger corporations, this may not limit subsequent performance (Business Week October 10, 1970).
' I : ■New MoneyThe Positive Side
The importance of new money being invested in funds was described in a feature article (Laurence 1969) inferring
Ithat the portfolio managers will admit that a steady influxof new cash is critically important. The pertinent portionreads as follows:
The unhappy experience of Mates Fund notwithstanding, one of the interesting aspects of the mutual-fund performance derby is that success breeds success, at
' least in the short run. Once a fund rises to the top
27TABLE 4
GROWTH MUTUAL FUND PERFORMANCE WITH CAPITAL GAINS REINVESTED PLUS INCOME
DIVIDENDS RECEIVED IN CASH
Year 1969 19685
1965years thru 1969
Average of Large Growth Mutual Funds
-13.2% +8. 3% + 79.7%
Average of Small Growth Mutual Funds
-15.2% +18.8% + 74.3%
ranks, it tends to stay there for a while. The reasons for this are obscure (for anyone who is interested, the subject is discussed in detail in the June'1968 issue of Fortune) but they definitely relate to the influx of cash from new investors that usually accompanies a high position in the fund-performance list. A high ranking means new investors, and new investors mean new money. Once a fund management is blessed with new money, it is free to buy good new stocks whenever it finds them? it can buy them when the market goes down (obviously this is the best time to buy) and it can count on receiving useful research about hot new stocks from brokerage houses eager to get their hands on some of that incoming cash. Funds not blessed with new money, on the other hand, must dip into their reserves to make new investments or to meet redemptions = If they are fully invested and have no cash (most funds try to keep some in reserve), they must sell old investments, often at a loss, or at least at a time when they should not be sold. To the extent that a fund enjoys a steady stream of new money, it will be able to make the sort of good new investments, that will keep it high in the rankings? and when a fund stays high in the rankings, it keeps getting more new money.
The relationship of new cash to performance was demonstrated by Alan Pope (1968, p. 138) for the five year period of 1961-1966. He concluded that, "new money does more to
28determine good performance than good performance does to attract new money." The basis for Pope's conclusions are:
1. With new cash coming in, the growth mutual funds may fake advantage of market dips and avoid having to sell promising investments to meet redemptions.
2. New cash attracts the advice of the best outside analysts.
3. New cash reduces the impact of past investments that have gone bad and acts as an "error eraser." Although from a practical standpoint large inflows of new money will "erase errors” only as long as the new money is properly invested.
■ -Many mutual fund investment advisors have expressed strong positive feelings regarding the benefits of an inflow of new cash. For example, the Putnam Management Company expressed their sentiments in a publication (Putnam 1968, p. 27) that a continuing inflow of new money permits dollar cost ■ averaging in promising stocks.
The Negative SideNew money may be a two edged sword. Walter Heiby con
cluded (1965, p. 121) after reviewing mutual fund data that the typical mutual fund buyer does (correctly) purchase more shares in the mutual funds during the middle of the market rise, and . usually continues to increase his purchases (incorrectly) as the market approaches the top. If this is the case, this
29large inflow of new money could place pressure on the growth mutual funds investment managers to invest heavily at the "wrong time" (Cohen and Zinbarg 1967, pp. 622-623).
The formula used to compute the approximate annual percentage of new money invested in a growth mutual fund is:
Formula #4*1969 closing +AV-1965 AV x Percentage 5 year growth** =
5 Average yearly newcash increase
Average Yearly NeW Cash Increase __________ _ =1969 Closing A.V + 1965 opening AV Annual Percentage
2 New Money Invested+AV = Asset Value*While most growth mutual funds distribute to their
shareholders, practically all of their net investment income after expenses have been deducted-and practically all of their realized capital gains, there are many exceptions (Casey 1969, p. 7).
**Percentage five year growth secured from Wiesenberger Investment Companies (Wiesenberger 197 0) „
Incentive Fees The basic idea behind the incentive fee is that the
standard form of compensation for the investment managers of growth mutual funds which averages about one-half percent of the asset value per year does not provide sufficient motivation for the investment managers to perform at their best.The standard of measurement was normally one of the popular stock market averages, such as the Dow Jones Industrial average, which usually was not adjusted for dividends. Another questionable practice that was.employed was that the incentive
. ■■ ' . 30fee was earned over a short time period, such as month or quarter. Therefore, it was entirely conceivable for an investment manager t o ."earn" his incentive fee during a number of short time periods while the net asset value over a longer time period was actually dropping. In addition, an incentive fee may have the effect of fostering stock speculation on the basis of "heads," the investment manager wins and, "tails," the mutual fund investor loses.
An observation regarding incentive fees was made byH. G. Carpenter (1934, p. 99). He said, "by the simple device of putting their compensation bn a basis where they are paid for competence in managing money, rather than for competence in making sales, investment counsel . . . have eliminated the greatest handicap to successful investment management."
Approximately 30 years later another practitioner, Thomas A. Martin, president of the Channing Funds (Martin 1967, p. 27), strongly supported the concept of incentive fees and inferred they would increase performance by increasing effort.
In my judgment, incentive fees may be a reasonable method of compensation only if they also penalize losses on a similar basis, the basic management fee is reduced, the time period is long enough, and the standard of performance is reasonable and adjusted for dividends.
. No-Load Funds No-load funds do not have salesmen to sell their funds,
therefore, they do not levy commissions for either buying or selling their fund. The Twentieth Century Fund Study of mutual funds for the period of 1960-1968 (Friend, Blume, and Crockett 1970) determined: "To the extent that a relationship exists between performance and sales charges, the funds with the lowest charges, including the 'no-load' funds, appear to perform slightly better than the other." One of the statistical tests made and reported in Chapter V of this thesis will try to determine if load or no-load funds did do better or worse than the load funds for the 1965-1969 period.
Stock Manipulation, Shortage and Turnover
ManipulationMany persons on Wall Street feel that the success of
the growth mutual funds from 1965 through 1968 was not due to their trading skill but to stock manipulation (Kaplan and Welles 1969). As reported by Louis in Fortune (May 1967), William Martin, chairman of the Federal Reserve Board, told a New York audience that the tactics of the go-go funds re- . minded him of the "pool operations" of the 1920's. In the old pools individuals or groups of individuals would purchase large blocks of stock to bid up the price, attracting the unwary investor by the volume and the price movement, to
32bid up the price still further. At the point where the men behind the pools felt they had sufficient profit, they.would unload their shares. Subsequent to the speech of Martin, Manuel F. Cohen, former chairman of the Securities Exchange Commission, disclosed that his agency was investigating possible manipulat3ma%of about 100 stocks owned by the funds. .
The subject of market manipulation, deliberate or not, during the years of 1967 through 1969 is a serious question. Business Week (July 25, 1970, pp. 53-61) in a special report confirmed that Wall Street recognized the "jet fuel effect" that institutional investors may have on a stock, particularly if it was glamorous and had a thin "float." Security analysts began talking about "self-fulfilling prophecies." If an ana-
7lyst shch as Tsai, Carr and others, decided "the stock would triple in price, the stock would triple," as everyone tried to get in when the knowledge of who is buying was leaked out. During this period of time, new concepts of value were expounded and P/E ratios soared, with some over 150. Business Week commented that, "No one truly believes a 150 P/E ratio is related to anything except the hope of selling at a higher price." Included in this special report was a description of the "go-go" broker orchestrating rumors and buying in a thinly capitalized issue, "bringing different institutions in at different price levels as a symphony conductor brings in trumpets with the flourish of his hand."
. 33If only half of what Business Week reported is true,
it appears that during that period of time, the performance of many of the growth mutual funds was based more on the ability to play the game of "musical chairs" or "old maid" than on superior investment skills.
Frequently an answer to a complex question is found by examining the pronouncements of the elder statesmen of the industry concerned. One is Harold Stein, president of the second largest fund in the United States. During 1969, Stein was interviewed (Forbes 1969, pp. 78, 83) and commented that in 1967 and 1968 most performance had been on a manufactured basis, rather than on a sound value basis. By "manufactured" "he meant that while har'd Work, "intelligence and experience may produce better results over a period of time, say five years, it can't do 20% to 50% better than the market. To secure extraordinary performance one technique is to purchase stock in small companies. If the capitalization is small enough, this buying increases the stock price, a sort of lifting yourself up by your own bootstraps.
Finally, David L. Babson and Robert C. Puff, Jr.(1970, p. 13) in an article suggested that the superior performance of many growth funds during the 1965-1969 period was due to "manufactured" results. During this period the investment managers of many of the growth funds concentrated their buying in companies with a small outstanding "float"' driving the market prices upward. In his opinion, as the
34market prices climbed, new cash poured into the mutual fund treasuries and the "performance became a self-generating process,” In addition, many funds purchased "letter stock" which was sold at a discount to the funds because of restrictions as to possible sale and then the fund would favorably price the stock for the purpose of net asset value determination- In short, the performance of many funds was financed by new buyers and according to Babson and Puff (1970) the net asset values of many of the funds was not the value at which the portfolio could be liquidated.
Considering the above facts, it appears that a portion of the performance of many of the growth funds was "manu factured."
Stock ShortageIn the opinion of many analysts, a major factor favor
ing the superior performance of growth mutual funds from 1965-1969 was the shortage of stocks in comparison with demand, Evidence of this fact, appears in a Solomon Brothers publication and shown in Table 5 (Homer 1970, p. 12).
Sidney Homer of Salomon Brothers (Homer 1970, p, 14) made this comment in regard to the "shortage" of stocks:
Until 1969 corporations issued little or no new equities net after retirement of outstanding equities, Therefore, institutions could only make their large net purchases by paying up to price levels which would induce other investors to sell.This scarcity of new equities in the face of growing institutional demand was an important factor
35TABLE 5
NET ISSUANCE AND NET PURCHASES OF EQUITIES (Billion Dollar Annual Net Issuance and Net Purchases)
1965 1966 1967 1968 1969
Total Net Flotation of New Equities
0 1.2 2.3 -.9 4.3
Total Net Purchases by All Investors
5.7 5.9 9.1 10.3 12.6
Total Net Purchases by Foreigners
— o 4 — o 3 .7 2.0 1.5
Total Net Purchases by Individuals and Miscellaneous
-5.3 -4.4 -7.5 '-13.2 —9.8
- feworing < r-is•lng st-©ok' -.,§>r«iaes --ija -the ,1960 -s, • especial ly when combined with record economic growth and exuberant business optimism.
Stock TurnoverOne of the hallmarks of the rapidly growing growth
mutual fund during the 1965-1969 period was the rapid turnover of the stock portfolio. In a study (Babson and Puff 1970) the investigators found that the turnover ratio of the seven top-ranked firms in 1969 was only one-third as much as the ratio of the seven funds at the bottom of the list. The list contained more than 250 stock funds with assets of over ten million dollars.
Prior to the Babson and Puff report there was a review of past studies and up-to-date statistics. A researcher
36concluded (Louis 1967) that there is little evidence on the side of the argument that the heavy stock turnover of the performance funds has led to superior performance. On the basis of his own studies he suggested that most of the six fast trading funds would have done better based on a buy and hold strategy (Louis 1967) and in the case of only one fund did the stock purchased do significantly better than the stock sold (Louis 1967).
CHAPTER V
EMPIRICAL RESULTS
GeneralOf 102 chi-square tests, eight tests were found to
have exceeded statistical significance at a confidence level of .05 (Appendix E). The computed chi-square values for the balance of the tests were within the range that indicates that the distribution probably occurred as a result of chance.
The eight tests where computed chi-square value ex- l,».Gseeded—fh.e--.GJS-it'i.calchi’rsqua^re .v.f.able •.vabue. will be analyzed in detail, including performance median (Appendices I, J and K). In addition, the responses to the last question in Section C of the questionnaire asking for the two most important factors of the fifteen factors listed in Section C have been singled out for special consideration and statistical analysis.
A complete listing of the funds performance within the three performance groups for the five years, three "up" years and two "down" years, is shown in Appendix L. Overall, the 69 growth mutual funds in the study performed are shown in Table 6.
38
TABLE 6COMPARISON OF 69 GROWTH MUTUAL FUNDS
WITH STANDARD & POOR'S 425 (All Distributions Included)
(See Appendices K and L)
YearsGeometric Mean
Performance
5 years (1965-196 9)69 Growth Mutual Funds 11.54%Standard and Poor's 425 5.34%
3 "Up" Years (1965, 1967, 1968)69 Growth Mutual Funds 27.54%Standard and Poor's 425 16.39%
2 "Down" Years (1966, 1969) 69 Growth Mutual Funds Standard and Poor's 425
-8.43%-9.37%
39Evaluation of Liquidity of Mutual Funds
Two "Down" Years, 1966, 1969Chi—scruare analysis (critical value 5.991; computed
value 5.474) (Appendix M). The null hypothesis was rejected, indicating a statistically significant difference between the observed and the expected frequencies.
Study of the chi-square table and statistical data indicates (Table 7) :
1. A relationship between the funds that give consideration to the "Liquidity of Mutual Funds" 6% to 100% ofthe time and those funds that cluster towards the low third of performance.
2. A relationship between, those funds that give 5%or less attention to the "Liquidity of Mutual Funds" andeither the first or second performance group.
3. An analysis of the performance mean and median, reveals no strong pattern between the attention to the "Liquidity of Mutual Funds" and performance.
Conclusion: There does not appear to be a strongrelationship.
TABLE 7TWO "DOWN" YEARS, 1966, 1969;
LIQUIDITY OF MUTUAL FUNDS (Section B, Question 6, Data Processing Code No. 18)
Performance Total-Classes 1, 2,
6 to 100% of the time
3 , 4 Class 5 5% or less
of the timeGroup Funds Observed Expected Observed Expected
1 7 11 .0 15 11.02 23 11 11 .5 12 11.53 23 16 11 .5 7 11.5
TOTAL 68 34 34 34 34
Class Number
PerformanceMean%
Coeffi- Standard cient Deviation Varia-
.% tion
PerformanceMedian%
PerformanceRange
%QuartileDeviation
%1,2,3,4 34
5 34 TOTAL 68
-9.8 . -7.3
-8.5
5.4 -.55 6.2 -.84 5.9 -.69
—9.4-7.5-8.3
3.1 to -22.5
6.3 to -21.2
6.3 to -22.5
3.43.13-7
40
• • 41 •Evaluation of "Dow Jones Earnings"Three "Up" Years, 1965, 1967, 1968
Chi-square analysis (critical value 9.488; computed value 10.278) (Appendix N). The null hypothesis was rejected, indicating a statistically significant difference between the observed and the expected frequencies. -
Study of the chi-square table and statistical data indicates (Table 8)i
1. Those funds that consider the "Dow Jones Earnings" 6% to 64% of the time, when making broad decisions regarding the fund's portfolio, appear to cluster towards the top third performance group.
2. A relationship between those funds that give attention to the "Dow Jones Earnings" 65% to 100% of the time and those funds that tend to fall in the low third performance group. '
3. Those funds that consider "Dow Jones Earnings"6% to 64% of the time, perform better than the other two class cells— 33.5% performance mean, compared to 25.5% and 25.3% respectively.
Conclusion; It appears that too much or too little attention to the "Dow Jones Earnings" was related to poor performance for this period of time.
TABLE 8THREE "UP" YEARS, 19.65, 1967, 1968::DOW JONES EARNINGS
(Section B, Question 9, Data Processing Code No. 21)
Performance TotalClasses 1, 2 65 to 100% of the time
Classes 3 , 4 6 to 64%
of the timeClass 5
5% or less of the time
Group Funds . Observed Expected Observed Expected Observed Expected
1 22 6 10.5 9 4.9 7 6.62 22 12 10.5 5 4.9 5 6.63 23 14 11.0 1 5.1 8 6.9
TOTAL 67 32
Performance
32
Standard
15
Coeffi
15
Perfor
20
Perfor
20
Mean Deviation cient mance mance QuartileClass Number % % Varia
tionMedian
%Range
. %Deviation
%1+2 32 25.5 10.7 .42 23.8 62.0 to
11.45.0
3+4 15 33.5 9.6 .29 30.1 55.8 to 19.9
8.15 20 25.3 9.7 .38 25.0 53.0 to
8.76.6
TOTAL 67 27.2 10.7 .39 . 25.6 62.0 to 8.7
6.5
43Evaluation of Low Expense Ratio
Three "Up" Years, 1965, 1967, 1968Chi-scfuare. analysis (critical value 5.991; computed
value 5.783) (Appendix 0). The null hypothesis was rejected, indicating a statistically significant difference between the observed and the expected frequencies.
Study of the chi-square table and statistical data indicates (Table 9):
1. A relationship between the funds that consider "low expense ratio" for the fund as "not important"' and those funds that cluster towards the low third of performance.
2. Based on the performance mean, there appears to be a slight relationship between the degree of importance that funds attach to the "low expense ratio" and performance. The funds that consider this factor as "very important" or "somewhat important" tend to perform slightly better— 30.7% for classes 1 and 2, as compared to 25.9% for class 3.
Conclusion: The relationship does not appear to bestrong.
TABLfe 9LOW EXPENSE RATIO FOR THE FUND
THREE "'UP" YEARS/j 1965, 1967, 1968 (Section C, Question 2, Data Processing
Code No. 24)
Performance TotalClasses 1,2
Very Important Somewhat Important
Class 3 Not Important
Group Funds Observed Expected Observed Expected
1 23 9 7.7 14 15.32 23 11 7.7 12 15.33 23 3 7.7 20 15.3
TOTAL 69 23 23 46 46
Class Number
PerformanceMean%
Coeffi Standard cient Deviation Varia-
% tion
- Performance
Median %
PerformanceRange%
QuartileDeviation
%1, 2 23
3 46 69
30.725.927.5
11.3 .3710.3 .40 10.9 .39
26.524.425.7
62.0 to 14.3 .
55.8 to8.7
62.0 to8.7
7.56.26.4 44
Evaluation of tltConcentrating Funds in the Blue Chip Stocks1*'
Three ,rUptr Years, 1965, 1967, 1968Ghi-sguare analysis (critical value 5.991; computed
value 11.883) (Appendix P). The null hypothesis was rejected, indicating a statistically significant.difference between the observed and the expected frequencies.
Study of the chi-square table and statistical data indicates (Table 10)
1. A strong relationship between those funds that consider "Concentrating Funds in the Blue Chip Stocks," "very important" or "somewhat important" and those funds that tend towards the low third performance group.
"2. A strong relationship between those funds that consider "Concentrating Funds in the Blue Chip Stocks," "not important" and those funds that cluster toward the top third of performance.
3. A negative relationship between the degree of importance attached to "Concentrating Funds in the Blue Chip Stocks" and performance. In terms of the performance mean, those funds in Class 1 and Class 2 ("very important" and "somewhat important") the figure was 22.4% while for Class 3 ("not important") it was 30.3%.
Conclusion; The statistics appear to confirm the intuitive judgment that for these three "Up" years the funds that concentrated their holdings in the Blue Chip Stocks did not perform as well as the others.
TABLE 10THREE "UP" YEARS,.1965, 1967, 1968;
CONCENTRATING FUNDS it THE BLUE CHIP STOCKS (Section C, Question 9,
Data Processing Code No. 31)
Performance TotalClasses 1, 2
■ Very Important Somewhat important
Class 3 Not Important
Group Funds Observed Expected Observed Expected
1 23 3 8.0 20 15.02 23 7 8.0 16 15.03 * 23 14 8.0 9 15.0
TOTAL 69 24 24 45 45
Class Number
PerformanceMean%
StandardDeviation
%
Goeffi- Perfor- cient mance
Varia- Median tion %
PerformanceRange
%
QuartileDeviation
%1+2 24 3 45
TOTAL 69
22.4 30.327.5
9.910.310.9
.44
.34
.39
20.127.225.7
62.0 to 11.1
55.8 to 8.7
62.0 to 8. 7
4.76.7 6.4
..... 47
Evaluation, of "Positive Cash Flow Into Fund"7 Five Years, 1965-1969
Chi-square analysis (critical value 5.991; computed value 7.849) (Appendix Q). The null hypothesis was rejected, indicating a statistically significant difference between the observed and the expected frequencies.
Study of the chi-square table and statistical data indicates (Table 11) :
1. There is a strong relationship between the funds that consider 11 cash flow'1 into the fund very important and those funds that tend to occupy either the first or the third performance grouping.
2. There appears to be a tendency for those funds that consider "cash flow" into the fund either ‘"somewhat important"' or "not important" and those funds weighted towards the mid-third performance group.
3. Based on the performance median and the mean, ; there appears to be a slight relationship between the degree of importance that funds attach to "cash flow" and performance. The greater the relative importance funds consider "cash flow" the poorer the performance.
Conclusion: It would seem that; on the average, thosegrowth mutual fund managers who did not consider "cash flow" as very important performed slightly better for this five : year period.
TABLE .11FIVE YEARS,1965-1969:
POSITIVE CASH FLOW INTO FUND (Section C, Question 13,
Data Processing- Code No. 35)
Performance TotalClass 1
V e r f - importantClasses 2, 3
Somewhat Important Not Important
Group Funds Observed Expected Observed Expected
1 23 12 . 10.3 11 12.72 23 5 10.3 ' 18 12.73 23 14 10.3 9 12.7
TOTAL 69 31 31 : ss 38
Class Number
PerformanceMean%
Coeffi- Perfor- Standard cient mance Deviation Varia- Median
% tion '%
PerformanceRange
%QuartileDeviation
%
1 31 2+3 38
TOTAL 69
10.512.411.5
5.5 .53 9.9 5.3 .42 11.95.5 .005 11.3
23.8 to -4.4
29.4 to 3.0
29.4 to -4.4
3.21.92.4
49 '
Evaluation of Two Most Important Factors— Singularly Five Years, 1965-1969, Three "Up11': Years, 1965, 1967, 1968;
Two "Down'* Years, 1966, 1969Chi-square analysis (Appendices Rl, R2, R3);Five Years— critical value 18.307 ? computed value
12.180Three Years— critical value 18.307; computed value
12.544Two Years— critical value 18.307; computed value 6.851
The null hypothesis was not rejected. This would indicate that there was not statistically significant difference between observed and expected frequencies for any of the three time periods. The statistician would say that there was no statistically signi'ficartt relationship between the independent variables and the dependent variable of performance.
Study of the chi-square table and statistical data indicates (Tables 12 and 13) :
1. Those funds selecting C-12 (Evaluating Research from Outside Sources) as one of their two most important factors performed as follows:
For the five years— tendency to cluster towards the top performance group.
For the three "Up" years— tendency to gravitate towards the top two performance groups.
For the two "Down'" years— tendency to fall into the last performance group.
502, Those funds selecting C-4 (Emphasis on Timing
Rather than Stock Selection) as one of their two most important factors performed as follows:
For the five years:— did not place in the top third performance group.
For the three "Up'" years— concentrated in the last performance group.
For the two "Down" years— no pattern discernable.3. Those funds selecting C-8 (Cutting Losses Promptly)
as one of their two most important factors performed as followsFor the five years— fell mainly in the second and
third performance group. For "the threse "Up" years—-increasing tendency towards
lower performance group.For the two "Down" years— increasing tendency towards
top performance group.Conclusion; Further statistical testing is required
to arrive at a"fund profile" which may be related to "superior performance.
TABLE 12MOST IMPORTANT TWO FACTORS:
EXPECTED AND OBSERVED FREQUENCY (Data Processing, Code No, 39)
FactorsPerfor- Total Factor Factor Factor Factor Factor Factor C-l thrumanceGroup
Observations
C-Obs
3Exp
C-4*Observe
c-Obs
8Exp
C-Obs
10' Exp
C-Obs
12Exp
C-Obs
13Exp
C-15Obs Exp
5 Years 1 42 9 6.5 0 1 4.6 13 12.4 9 5.9 5 5.5 5 7.21965-1969 EDP Aver 2 41 4 6.4 5 8 4.4 12 12.1 5 5.7 4 5.4 8 7.0aging . Code No. 2 3 46 7 7.1 _5 _5 5.-0 13 13.6 4 6.4 _8 6.1 _9 7.8
TOTAL ■ 129 . 20 20 10 14 14 38 38 18 18 17 17 22 22
3 "Up" Years 1 40 8 6 = 2 1 3 4.3 11 11.8 8 5.6 5 5.3 5 6.81965, 1967, 1968 EDP 2 43 6 6.7 3 4 4.7 14 12.7 9 6.0 4 5.7 6 7.3Averaging Code No. 3 3 46 _6 7.1 __6 7 5.0 13 13.6 _1 6.4 _8 6.1 11 7.8
TOTAL 129 20 20 10 14 14 38 38 18 18 17 17 22 22
TABLE 12 — -Continued
FactorsPerfor Total Factor Factor Factor- Factor Factor Factor C—1 thmmance Obser C-3 ' C-4* C-8 C-10 C-12 C-13 015Group vations Obs Exp Observe Obs Exp Obs Exp Obs Exp Obs Exp Obs Exp
2 “Down" 1 45 6 7.0 3 7 4.9 15 13.3 3 6.3 6 5.9 8 7.7Years1966, 1969 2 40 5 6.2 4 4 4.3 13 11.8 6 5.6 5 5.3 7 6.8EDP Averaging 3 44 9 6.8 __3 3 4.8 10 13.0 9 6.1 6 5.8 7 7.5Code No. 4
TOTAL 129 20 20 10 14 14 38 38 18 18 17 17 22 22
*Not included as a separate factor for the chi-square analysis since the expected observations in each cell would be less than 5.
TABLE 13MOST IMPORTANT TWO FACTORS: PERFORMANCE BY FACTOR (Data Processing, Code No. 19)
FactorNumber
PerformanceMean%
StandardDeviation
%
Coefficient
Variation
Performance
Median ■ %
PerformanceRange
%QuartileDeviation
%
Factor C-35 Years 20 12.6 7.5 .59 12.0 29.4 to
-4.44.1
3 ,rUp" Years 20 30.3 13.5 .45 26.8 . 62.0 to 8.7
9.72 "Down"' Years
Factor C-4
20 -9.1 6.5 -.71 -9.3 5.3 to -21.1
4.1
5 Years 10 7.7 . 4.9 . 63 9.6 12.3 to -4.4
2.73 "Uprr Years • 10 20.7 6.1 .29 22.1 29.6 to
8.74.1
2 "Down" Years 10 -9.2 4.8 — .52 -7.8 -3.4 to . -21.1
2.8
Factor C-85 Years 14 10.2 4.3 . .42 11.3 20.4 to
3.02.3
3 "Up" Years 14 24.1 10.4 .43 22.7 . 55.8 to 11.4
4.82 "Down" Years . 14 -7.5 5.0 -. 66 -7.2 1.2 to
-18.23.1
TABLE 13b— Continued
FactorNumber
PerformanceMean%
StandardDeviation
%
Coeffi- , cient Variation
PerformanceMedian
%
PerformanceRange%
QuartileDeviation
%
Factor C-10 -
5. Years 38 11.6 5.0 .43 11.1 29.4 to 2.7
2.13 "Up" Years 38 26.8 10.1 .38 24.6 53.0 to
11.16.9
2 "Down” Years
Factor C-12
38 -7.6 6.2 —. 80 -7.8 6.3 to -22.5
3.6 .
5 Years 18 13.4 4.7 .35 , 12.8 27.2 to 7.4
3.03 "Up"* Years 18 32.9 10.7 .32 28.0 62.0 to
16.38.2
2 "'Down” Years
Factor C-13
18 -10.3 3.8 -.37 -10.6 —3.6 to -16.8
3.3
5 Years 17 10.1 4.3 .43 9.8 20.4 to 2.7
2.43 "Up"’ Years 17 . 25.6 10.1 .40 23.3 55.8 to
12.85.8
2 "Down" Years 17 -9.2 6.8 -.74 -7.9 3.1 to -22.5
4.6
TABLE 13— Continued
FactorNumber
PerformanceMean%
Coeffi- Perfor- Staridard cient manceDeviation Varia- Median
% tion %
PerformanceRange%
QuartileDeviation%
TOTAL ALL .FACTORS 5 Years 1293 "Up" Years 1292 111 Down" Years 129
11.3 5.4 .47 11.0 29.4 to —4.3 2.6
27.1 10.8 .40 24.9 62.0 to 8.7
6.5-8.4 6.1 -.72 —8.4 6.3 to
-22.54.0
56Evaluation of Two Most Important Factors—
Factors Considered in Combination Five Years, 1965-1969, Three ■rUp,r Years, 1965, 1967, 1968,
Two "Down'" Years, 1966, 1969Chi-square analysis (Appendix S).Considering the nature of this analysis a chi-square
test was not attempted.Analysis of statistical data indicates (Table 14):1. Fox the five year and the three '"up"' year periods
three combinations of the two factors considered the most important are related to better than average performance.These are, 3+10, 3+12, and 10+12— number 3 factor is "Investing in emerging companiesnumber 10 factor is "Judging a portfolio reward versus risk relationship,11 and number 12 fac tor is "Evaluating research from outside sources."
2. For the two "down1" years, two of the above com^ binations are associated with poor performance. These are, 3+12 and 10+12. Three.factor combinations are related to slightly better performance. These are, 3+10, 4+10, and 8+10 number 8 factor is "Cutting losses promptly.
Conclusion: Generally speaking, for this study, thecombination of the two most important factors that are related to superior performance in the "up" years, are related to poor performance in the "down" years.
TABLE 14TWO MOST IMPORTANT FACTORS—
FACTORS CONSIDERED IN COMBINATION (Having 3 or Moire Observations)
PerformanceMean
Factor Factor Number %
Coeffi- Perfor— Perfor- Standard cient mance manceDeviation Vania- Median Range
tion % %%Quartile : Deviation
% '
5 Years3 10 8 13.4 7.9 .59 12.0 29.4 to
4.06.7
3 12 8 14.1 5.8 .42 12.4 27.2 to 7.4
3.24 10 3 8.9 2.9 .32 9.3 12.3 to
5.2—
8 10 7 9.4 • 3.5 .37 11.1 12.7 to 3.0
2.010 12 6 14.6 2.5 .17 14.2 18.0 to
10.92.3
10 13 8 9.4 . 3.1 .33 . 9.7 . 13.6 to 2.7
2.3Fund Average
3 "Up" Years
69 11.5 5.5 .47 11.3 29.4 to —4.4
2.4
3 10 8 29.5 14.6 .50 22.9 53.0 to 11.1 14.4
3 12 8 35.4 12.0 .34 30.1 62.0 to 24.9
8.74 10 3 20.9 3.9 .18 18.6 26.3 to
17.8— ' m'•j
TABLE M-^Continued
Factor Factor Number
PerformanceMean%
StandardDeviation
%
Coeffi- : cient Variation
Per for-' . mance Median
%
PerformanceRange%
QuartileDeviation
%
8 . 10 7 21.8 6.7 .31 24.0 32.7 to 11.4
5.610 12 6 35.4 8.1 .23 34.9 44.8 to
26.58.4
10 13 8 25.9 7.8 .30 25.9 38.4 to 14.3
6.9Fund Average
2 "Down" Years
69 27.5 10.9 .39 25.7 62.0 to 8.7
6.4
3 10 8 -6.5 6.6 —1.0 . -7.3 5.3 to -14.8
5.43 12 8 : -11.5 3-4 -. 29 -11.6 -5.8 to
-16.82.8
4 10 3 -6.9 . 3.2 -.47 —6.0 -3.4 to -11.2
—8 10 7 -6.7 3.6 -.53 -5.9 -1.0 to
-13.02.8
10 12 6 -10.6 4.1 -.39 -11.2 -3.6 to -15 .3
4.010 13 8 -11.1 6.8 . -.61 -8.4 . -2.6 to
-22.53.4
Fund Average 69 -8.4 6.0 -.71 —8.1 6.3 to -22.5
3.9
59 •
Evaluation of ‘"Percent New Cash'"Three "Up” .Years, 1965, 1967, 1968
Chi-square analysis (critical value 9.488?, computed value 10.091) (Appendix T ). 1 The null hypothesis was rejected,indicating a statistically significant difference between the observed and the expected frequencies.
Study of the chi-square table and statistical data indicates (Table 15) : ' : v’
1. A relationship between the funds that experienced over 20% yearly new cash (using formula No. 4) and those funds that tend to fall into the first performance group.
2. A relationship between those funds that had under 0% new cash and those funds that are distributed towards the low third performance group.
3. A progressive relationship is apparent between funds performance and “percent new cash.“ The funds in Group 1 (under 0%) obtained a performance mean of 23.1%, Group 2 (0% to 20% 26.7% and Group 3 (over 20% 31.5%).
Conclusions: While there appears to be a positiverelationship between "Percent New Cash" and performance for these three “up" years, there is still the unsolved question of which came first— the new cash or the performance.
TABLE 15THREE '"UP" YEARS ,1. 1965, 1967, 1968: '
PERCENT'NEW CASH (Data Processing:, Code No. 52)
Performance TotalClassUnder
10%
Clas s 2 0 to 20%
Class 3 Over 20%
Group Funds Observed Expected Observed Expected Observed Expected
1 23 3 5.3 8 9.7 12 8.02 23 4 5.3 14 9.7 5 8.03 23 _9 5.3 7 9.7 7 8.0
TOTAL 69 16 16 29 29 24 24
Class Number
Performance Standard Mean Deviation % %
Coef f i- ■cient Varia- , tion
Performance
: Median% _ ■
PerformanceRange% .
QuartileDeviation
%1 . 16 23.1 I—1«—1 i—1 .48 21.8 55.8 to
8.73.9
2 . 29 , 26.7 7.3 .27 26.3 48.4 to 11.4
3.13 24 31.5 12.8 . .40 30.4 62.0 to
12.810.6
TOTAL 69 27.5 10.9 .39 25.7 62.0 to 8.7 •
6.4
Evaluation of "'Date Shares Offered"61
Three “Up” Years, 1965, 1967, 1968Chi-square analysis (critical value 9.488; computed
value 10.499) (Appendix u). The null hypothesis was rejected, indicating a statistically significant difference between the observed and the expected frequencies.
Study of the chi-square table and statistical data indicates (Table 16):
1. Those funds that have been operating from ten to twenty years tend to cluster towards the top third performance group.
2. Those funds that have been operating over twenty years tend to fall into the low third performance group.
Conclusion: While those funds operating over twenty'years did not perform as well as those funds operating over a shorter time period, there may be other factors, such as fund size, that may be influencing the relationship with performance
TABBE 16THREE "UP" YEARS,: 1965, 1967, 1968:
DATE SHARES OFFERED (Data Processing, Code No. 6)
Performance TotalClass 1
5 to 10 yearsClass 2
10 to 20.yearsClass 3
Over 20 years.Group Funds Observed Expected ; Observed Expected Observed Expected
. 1 23 6 5.7 16 12.0 1 5.32 23 . 4 5.7 - 13 12.0 6 5.33 23 _7 5.7 . 7 12.0 _9 5.3
TOTAL 69 17 .
Performance
17
Standard
36
Coefficient
36
Performance
16
Performance
16
QuartileMean Deviation Varia Median Range Deviation
Class Number % % tion % % %1 ' 17 27.4 11.4 .42 . 26.5 49.4 to
12.89.5 .
2 36 30.3 11.3 .37 27.8 62.0 to 11.0
4.63 : 16 21.5 5.2 .24 22.1 33.0 to
8.73.2
■ TOTAL 69 27.5 10.9 .39 25.7 62.0 to 8.7
6.4
■ 63 ..
Evaluation of "Load Versus No-Load Funds"’Three "Up'" Years, 1965, 1967, 1968
Chi-square analysis (critical value 5 - 991; computed Value 6.713) (Appendix v). The null hypothesis was rejected, indicating a statistically significant difference between the observed and the expected frequencies. ^
Study of the chi-square table and statistical data indicates (Table 17):
1. A relationship between load funds and a tendency to cluster in either the first or the mid performance group.
2. There is a strong relationship between no-load funds and the tendency to fall into the low performance group.
3. Based on mean annual performance figures the load funds as a group performed better than the no-load funds for this period of time^— 28.7% compared to 23.9% per year with standard deviations of 10.8% and 10.1% respectively. The median performance was 26.5% for load funds and 19.9% for no-load funds with quartile deviations of 5.0% and 6.8% respectively.
Conclusion; While the distribution is both skewed and scattered, the load funds achieved a better performance than the no-load funds for the three ™up,E years. For the two "down" years the chi-square test revealed no statistically significant difference (Appendix E).
TAB Li 17THREE "UP" YEARS,i1965, 1967, 1968:
LOAD VERSUS NO-LOAD FUNDS (Data Processing, Code No. 7)
PerformanceGroup
TotalFunds
Glass 1 Load Fund
Observed ExpectedClass 2
No-Load Fund Observed Expected
123
TOTAL
23232369
1920 13 52
17.317.317.3 52
43
1017
5.75.75.717
Class12
Number5217
TOTAL 69
PerformanceMean%28.723.927.5
Coeffi- Standard cient Deviation Varia
tion%' 10.8 10.1 10.9
.38
.42
.39
Performance
Median%26.519.925.7
PerformanceRange%
62.0 to8.7
48.4 to11.4
62.0 to8.7
QuartileDeviation%
5.06.86.4
CHAPTER VI
SUMMARY AND CONCLUSIONS
A questionnaire (Appendix A), covering 29 factors thought to be related to performance was mailed to 124 growth mutual funds operating more than five years, for which annual performance data was available. Replies were received from 69 funds. In addition to the 29 factors, another five factors were tested as part of the study. Each of these independent variables was tested to determine if there was a significant .relationship with the dependent .variable for the five year period of 1965 through 1969, three "up" years of 1965, 1967 and 1968, and the two "down" years of 1966 and 1969. A total of 102 chi-square tests and other statistical data were run with only eight of the chi-square tests showing a statistically significant relationship at the .05 level of confidence. These eight factors were:
1. Liquidity of mutual funds— for the two "down" years.2. Dow Jones earnings— for the three "up" years.3. Low expense rate for the fund— ^three "up" years.4. Concentrating funds in the blue chip stocks— .
three "up" years.5. Positive cash flow into fund— five years.
- V ■ ■ ■ 6 6 :
6. Percent yearly new cash— -three "up" years.7. Date shares offered:— three rrup"' years .8. Load versus no-load— three "'up"' years.
- Considering the other chi-square tests that were run and reviewing the statistical data obtained, such as mean, median, and standard deviation, it appears that none of the eight factors shown above had a statistically significant relationship with performance for both the three "uptp and the two "down"' years.
. An analysis of the replies to the question asking for the two most important factors influencing performance, seems to indicate that those factors either singularly or in combination that may be positively related to performance duringthe "up"’ years, are negatively related to performance during the "down" years and vice versa.
An overall evaluation of the results suggests that for the 3 "up" years growth load funds, operating from 10 to 20 years, having over 20% new cash flowing annually into the fund, with an investment policy based on evaluating research from outside, sources, rather than on market timing and technical indicators, did experience superior performance.
It is recommended that the results of this study be tested over other time periods to substantiate or reject the findings.
67 .
Suggested Areas for Future StudyThe study undertaken herein was primarily an explor
atory investigation covering many of the factors that may influence the performance of growth mutual funds. However, the replies to the questionnaire, the statistics collected and the statistical framework for this initial investigation may provide the basis for further investigations into this very interesting area of portfolio management. In this manner, with each study building upon previous findings, it may be possible to statistically prove a significant relationship over a period of time between one or more of the factors that related to the performance of growth mutual funds. Some of the Suggested areas for "further study are:
1. Additional independent variables such as yearly expenditures for investment research, stability of new cash inflows, and dollar cost averaging.
2. Multiple correlation and regression tests based on the results of the questionnaire and the other statistics developed in this study.
3. The eight factors found to have a statistically significant relationship with performance should be tested over other time periods.
4. The replies to the question regarding the two most important factors should be subjected to additional rigorous statistical testing.
. • ■ ■■ ' , ' 68 ■ The above is not a complete listing of suggested
areas for future investigation to determine the factors related to the performance of growth mutual funds. However, these subjects may have the potential to advance the study of growth mutual fund performance„
APPENDIX. A
' -QDESTTGNNA.TRE- AND COVER LETTER
69
70
Robert Baslst, c/o Dr. W. K. Kirk, ColleKe of Business 4 Public Administration The University of Arizona, Tucson, Arizona 85721
Subject:_________________________________________
(1) (2) (3) " (4).......... . W ™95 - 100% of the time
65 - 94% of the time
35 - 64% of the time
6 - 34% of the time of the time
■Kindly reply to all questions In Sections A and B based on the above KEY, for the period 1965 to 1970, or during the period of your Investment management of the fund, If a shorter period Is Involved.
(SEE* KEY)A. FOR THE ABOVE NAMED FUND: (Please check (*') each point)1. We concentrated the fund's assets In a minimum of ........... 11 | 2 | 3 | 4 ! 3 ]
industry categories (under 10 categories.)2. We did have a net positive cash flov(sales .........*-— ■— 1— 1— .
less redemptions) Into the fund................................ 11 | 2 | 3 [ 4 | 5 [3. We concentrated the funds assets in the medium ______
size and small companies (under 300 million sales)........... I 1 7 T T 3 T * [ 5 Ilisted on the N.Y.S.E. and the A.S.E. *-----
4. Depending on our appraisal of the future direction ------ j __ _of the stock market we made switches of the funds ........... 11 |2 j 3 14 1 5 |assets to over 10% cash or Its equivalent.
B. WHEN MAKING BROAD DECISIONS REGARDING THE FU N t/s PORTFOLIO,WE CAVE ATTENTION TO: (Please check (/) each point)
1.2.3.4.5*
1 2 3 4 5Dow TheoryDollar Cost Averaging Relative Strength by Industry Barron's Confidence Index Bond Index 4 Interest Rates
OTHER: (Please specify and show number)*__
Liquidity of Mutual Funds Changes In Money Supply Changes In Cold Prices Dow Jones Earnings Government Economic Indicators, other than those listed
1 2 3 4 5
9.10.
WE CONSIDER THE FOLLOWING FACTORS AS MAJOR DETERMINATES OF SUCCESSFUL LONG TERM CAPITAL CR0V.TH PERFORMANCE FOR A MUTUAL FUND (V.l. - very Important; S.I. - somewhat Important; N.I. - not Important). Please check (/ ) each item.
V.l. S.I. N.I1. Asset size of the fund2. Low expense ratio for the fund3. Investing in emerging companies4. Emphasis on timing rather than stock selection5. Not limiting purchases to domestic securities6. Using margin when appropriate7. Pyramiding gains (purchasing more of the stocks you hold)8 . Cutting losses promptly9. Concentrating funds in the blue chip stocks10. Judging a portfolio reward vs. risk relationship11. Purchase of lettered stock12. Evaluating research from outside sources13. Positive cash flow Into fund14. Purchasing puts and calls15. Performance fees
Which 2 factors do you consider the most Important? Numbers____OTHER: (Please specify other factors and show whether V.l,,S.I.
D. Please give any corments,examples, book or magazine references that you feel may be pertinent or helpful to me regarding the above questions or my research paper.*
E. Do you plan to operate differently in the years ahead? If so, what factors will you emphasize?*
F . We have been advisors to this fund since___________(year).
* Please use reverse aide of this questionnaire or a separate sheet of paper If necessary. (PLEASE CHECK TO BE SURE ALL QUESTIONS ARE ANSWERED)
THANK YOU FOR YOUR ASSISTANCE.
T H E U N I V E R S I T Y OF A R I Z O N AT U C S O N , A R I Z O N A 85721
COLLEGE OF BUSINESS AND PUBLIC AD M INISTRATIO NDEPARTMENT OF FINANCE, INSURANCE,
AND REAL ESTATE
i»/Asv%a.»Gxaduate..Szudaat...,o.fv,FdLna.n.C!e,,.at The University of Arizona and previously a vice president of a major Canadian food and department store corporation for ten years', 1 know how valuable your working time is, so I will get right to the point.
I have selected for my thesis for the Department of Finance, “Determinates of Performance for a Growth Mutual Fund." To pinpoint these factors, I am sure you will agree that a one-page questionnaire directed to the investment advisors of the growth funds (as classified by Wiesenberger Services or A. Lipper Corporation), operating over five years, should be the basis of this research paper. The individual responses will remain strictly confidential. If desired, a summary of the major thesis conclusions will be sent to you. This study may assist the industry to respond to the unjustified criticism of mutual funds over the past two years, and at the same time may shed light on areas for improving performance.
A self-addressed envelope is enclosed for your convenience in replying. Thank you very much for your assistance and early reply. ; '
Sincerely yours.
Robert Basist
Enclosures -
APPENDIX B
CLASSIFICATION OF INDEPENDENT VARIABLES
Strength of the economy arid stock market (8 factors evaluated).Section B of the questionnaire, questions 1, 4, 5, 6, 8, 9, 10. .Operating, practices and general conditions (26 factors evaluated).Section A. of the questionnaire, questions 1,2, 3, 4.Section. B .of ..the que.sti.opnaire., questions 2, 3.Section C of the questionnaire, questions 1 through 15In addition, these five factors were evaluated:
asset sizepercentage of new money invested incentive fee load or no-load date fund started
72
APPENDIX C
COMPLETE LISTING OF FUNDS COVERED IN THE STUDY
74IdentificationNumber Fund Name
1 . , . . . . American Investors Fund2 . . . . . . American National Growth Fund, Inc.3 ........Anchor Growth Fund, Inc.4 . . . . . .. Babson (David L.) Investment Fund5 . . . . . . Beacon Hill Mutual Fund, Inc.6 . . . . . . Boston Common Stock Fund, Inc. :■7 . . . . . . Capital Investors Growth Fund, Inc.8............ Capital Shares, Inc.9 . . . . . . Chemical Fund
10 . . . . . . Colonial Growth Shares11 . . . . . . Colonial Equities, Inc.12 . . . . . . Commerce Fund, Inc.13 . . . . . . Common Stock Fund of State Bond & Mortgage Co.14 . . . . . . Concord Fund, Inc.1 5 ........ .. Crown Western Investments; Dallas Fund16. . . . . . Delaware Fund17 . . . . . . de Vegh Mutual Fund, Inc.18 . . . . . . Dreyfus Fund19 . ... . . . Egret Growth Fund, Inc.'20 . . . . . . Energy Fund, inc.21............ Enterprise Fund, Inc.22 . . . . . . Federated Growth Fund23............ First Participating Fund, Inc.24 . . . . . . Franklin Custodian Growth25............ Growth Industry Shares26 . . . . . . Hedberg & Gordon Fund, Inc.27 . . . . . . Imperial Growth Fund28 . . . . . . Integon Growth Fund Corp.29 . . . . . . Investors Research Fund30 . . . . . . Ivest Fund31 . . . . . . Johnson Mutual Fund32 . . . . . . Keystone Custodian Fund, S433............ Keystone Custodian Fund, K234 . . . . . . Keystone Custodian Fund, S335 . . . . . . Knickerboker Growth Fund, Inc.36 . . . . . . Lexington Research Fund, Inc.3 7 .......... . Massachusetts Investors Growth Stock Fund38 . . . . . . MIF Growth Fund, Inc.39 . . . . . . Mutual Securities Fund of Boston4 0 .Nassau Fund41 . . . . . . National Securities - Growth Stock Series4 2 .NBA Mutual Fund, Inc.43 . . . . . . Newton Fund
75
IdentificationNumber Fund Name44 . . . . -. . Oppenheimer Fund45 . . . . . . Over-The-Counter Securities Fund, Inc.46 . . . . . . Penn Square Mutual Fund47 . . . . . . Pilgrim Fund, Inc.48 . . . . . . Pioneer Enterprise Fund, Inc.49 . . . . . . Planned Investment Fund, Inc.5 0 .T. Rowe Price Growth Stock Fund51 . . . . . . Rowe Price New Horizons Fund, Inc.52 . . . . . . Putnam Growth Fund53 . . . . . . Putnam Investors Fund54 . . . . . . Revere Fund55 . . . . . . Scudder Special Fund56 . . . . . . Security Equity Fund57 .......... Stein Roe & Farnham Capital Opportunities
Fund, Inc.58 . . . . . . Stein Roe & Farnham Stock Fund59 . . . . . . Technology Fund60 ............ Templeton Growth Fund, Ltd.61 . . . . . . Value Line Fund, Inc.62 . . . . . . Value Line. Special Situations Fund, Inc.63 . . . . . . Vanderbilt Mutual Fund64 . . . . . . Vanguard Fund, Inc.65 . . . . . . Venture Securities Fund, Inc.66 ........... Viking Growth Fund, Inc.67 . . . . . . Western Industrial Shares68 . . . . . . Windsor Fund69 . . . . . . Worth Fund, Inc.
APPENDIX D
EXTRACT FROM CHI-SQUARE VALUES TABLE
Column A Degrees of Freedom
1234
5678 9
10
Column B 95% Level of Confidence
3.8415.9917.8159.448
, 11.07012.59214.067
. 15.507, 16.919
18.307
76
APPENDIX E
MASTER RESPONSE TABLE RECAP OF COMPUTED CHI-SQUARE VALUES
77
A. QUESTIONNAIRE
DataProces- Degrees
Questionnaire sing ofSection-Question Code Freedom
1 9 42 10 23 11 , 44 12 41 13 22 14 ' 23 15 44 16 25 17 26 18 27 19 48 20 29 21 4
10 22 41 23 . 22 24 23 25 24 26 25 27 26 28 47 29 28 30 49 31 2
10 . 32 2
Critical _____ Chi-square Values_______Value from 3 "Up"Chi-sguare 5 Years Years 2 "Down"
Table 1965— 1965, 1967 Years(.05)1 1969 1968 1966, 1969
9.488 6.047 4.606. 6.0175.991 4.246 1.415 2.4779.488 3.359 . 4.146 . 9.1269.488 7.067 5.388 6.9665.991 2.032 1.848 .5145.991 .088 .79 5.4109.488 • .824 1.347 4.8965.991 2.881 1.194 2.5235.991 4.456 .024 . 2.0845.991 5.549 5.336 6.474s9.488 . 2.029 2.851 1.5945.991 1.007 3.228 4.3629.488 . 4.971 10.278s 3.7599.488 2.321 3.779 6.4285.991 4.557 .651 .1635.991 . .130 6.783s 3.2615.991 5.308 1.604 2.3455.991 4.739 3.602 .1905.991 1.533 . 4.983 4.6009.488 3.091 3.091 3.0905.991 1.460 .365 3.2869.488 . 2.256 6.302 5.8375.991 4.983 11.883s 3.4505.991 .411 .411 1.232 CO
Critical Chi-square ValuesData Value from 3 "Up"
Proces- , Degrees Chi-square 5 Years Years 2 "Down"Questionnaire sing of Table 1965- 1965, 1967 YearsSection-Question Code Freedom (.05) 1969 1968 1966, 1969
11 33 - — — —
12 34 2 5.991 3.280 3.280 4.33413 35 2 5.991 7.849s 3.632 .82014 36 - — - . — —
15 37 2 5.991 1.980 4.525 3.676Quest ionnaire 39 10 18.307 12.180 12.544 6.851
. B. ADDITIONAL INDEPENDENT FACTORSIndependent Factors Percent YearlyNew Cash 52 4 9.488 6.272 10.091s 4.306Date Shares Offered 6 4 9.488 7.196 10.449s 2.990Load vs. No-Load 7 2 5.991 4.371 6.713s 2.029Incentive Fee 8 2 5.991 3.019 5.606 1.725Average Asset Value ■ 47 . ■ 2 ' ■ 5.991 3.247 1.855 2.203
"*"95% level of confidence with appropriate degrees of freedom - ^Significant value
APPENDIX F
DATA PROCESSING CODING SHEET AND NUMBER OF FUNDS IN EACH CLASSIFICATION
A. Percent yearly new cash (EDP Code No. 52)Less than 0% - (16 funds) — Class 1 0 to 20% - (29 funds) - Class 2 Over 20% - (24 funds) - Class 3
B. Date shares offered (EDP Code No. 6)From 5 to 10 years (1960-1965) - (17 funds) - Class 1Over 10 years to 20 years (1949-1959) - (36 funds) - Class 2Over 20 years (1948 or before) - (16 funds) - Class 3
C. Load funds versus no-load funds. (EDP Code No. 7)Load funds - (52 funds) - Class 1 No-load funds - (17 funds) - Class 2
D. Management Incentive fee or not (EDP Code No. 8)Does have an incentive fee (5 funds) - Class 1 Does not have an incentive fee (64 funds) Class 2
E. Average asset value (EDP Code No. 47)Under 25 million (34 funds) - Class 1 25 to 100 million (13 funds) - Class 2 100 to 250 million (11 funds) - Class 3 250 to 250 million (8 funds) Class 4
• Over 500 million (3 funds) - Class 5F. Investment advisor and year
No statistical tests were run. Listing shown for information purposes only.
80
APPENDIX G
MAIN DATA CARD FORMAT
CardColumn Contents
1 - 3 Fund Number4 - 1 5 Fund Name16 - 24 Investment Advisor25 - 28 1965 Assets in Millions29 - 32 1969 Assets in Millions.33 . Date Shares Offered34 Code for Load, No-Load Funds35 Code for Incentive Fee36 - 39 Replies to Section "A'r of Questionnaire40 - 49 Replies to Section "B" of Questionnaire50 Blank '50 - 65 Replies to Section ,lC,r of Questionnaire6 6 - 6 7 Reply to Two Most Important Factors68 Blank6 9 - 7 0 Reply to Two Most Important Factors7 1 - 7 2 Year When Present Investment Advisor Hired73 - 80 Blank
81
z
APPENDIX H
MASTER CODE LISTING - DESCRIPTION OF DEPENDENT AND INDEPENDENT VARIABLES
82
83
___________ Code____________Question Data Description of Independent
Section Number Processing VariablesA 1 9 We concentrated the fund's assets
in a minimum of industry categories. (under 10 categories)
2 10 We did have a net positive cashflow (sales less redemptions) into the fund
3 11 We concentrated the fund's assets• in the medium size and small
\ companies (under 300 millionsales)
• 4 12 Depending on our appraisal of thefuture direction of the stock market, we made switches of the fund's assets to over 10% cash or its equivalent
1 13 Dow Theory2 14 Dollar Cost Averaging3 15 Relative Strength by Industry4 16 Barron's Confidence Index5 17 Bond Index & Interest Rates6 18 Liquidity of Mutual Funds7 ' 19 Changes in Money Supply8 20 Changes in Gold Prices9 21 Dow Jones Earnings
10 22 Government Economic Indicatorsother than those listed
C 1 23 Asset size of the fund23
2425
Low expense ratio for the fund Investing in emerging companies
84 _________ Code ;___
Question Data ' Description of IndependentSection Number Processing Variables
C 4 . 26 Emphasis on timing rather thanstock selection
5 27 Not limiting purchases to domesticsecurities
6 28 Using margin when appropriate7 29 Pyramiding gains (purchasing more
> of the stocks you hold)8 30 Cutting losses, promptly
\ 9 31 Concentrating funds in the bluechip stocks
10 32 Judging a portfolio record vs.risk relationship
11 33 Purchase of lettered stock12 34 Evaluating research from outside
sources13 35 Positive cash flow into fund14 36 Purchasing puts and calls15 37 Performance fees- 39 Which two factors do you consider
most important- 51 Performance thirds- 52 Percent New Cash- 6 Date Shares Offered- 7 Load Versus No-Load- 8 Incentive Fee- 47 Average Asset Value
85Code
Question Section . Number
C -
Data Description of DependentProcessing Variables
2 Geometric mean of 5 year performance 1965-1969
3 Geometric mean of 3 "‘up" yearsperformance, 1965» 1967, 1968
4 Geometric mean of 2 "down"' years performance, 1966, 1969
APPENDIX I
MASTER RESPONSE TABLE-—RECAP OF REPLIES TO QUESTIONNAIRE
86
ClassCode 1 2 3 4 5 Unlisted Tot;
sstion Data 95-100% 65-94% 35-64% 6-34% 5% orProces of the of the of the of the less ofsing time time time time the timeCode
- 1 9 19 12 4 3 30 1 692 10 39 18 I 1 6 0 693 11 9 14 15 12 18 1 694 12 19 11 12 13 14 0 69- 1 13 5 3 4 3 53 1 692 14 4 3 . ii 11 37 1 693 15 26 20 14 3 5 1 69. 4 16 1 4 3 5 55 1 695 17 . 12 18 i. 9 21 1 696 18 5 6 14 9 34 1 697 19 23 20 10. 9 6 1 698 . 20 1 0 0 9 58 1 699 21 , 13 19 6 9 20 2 6910 : 22 25 17 15 ■ . 5 5 2 69
Very Somewhat NotImportant Important Important
1 2 3 Unlisted Total- 1 23 10 43 16 0 69
2 24 4 19 46 0 693 . 25 26 35 8 0 69 '4 26 - .13 48 8 0 695 27 1 23 45 0 696 28 2 1 66 0 697 29 7 35 27 0 69 oo<1
CodeQuestion Data Very Somewhat
Proces- Important Important s ing 1 2Code
8 30 25 289 31 4 20
10 32 48 1911 33 0 312 34 38 2413 35 31 2714 36 o 015 37 1 7
C - D 39 1 - 24 0■6 71 3
11 120 18
Not 'Important -
3 •Unlisted Total
16 0 6945 0 69
2 0 6966 0 69
7 . o 6911 0 6969 . 0 . .. 6961 0 69
3 ■ 4 520 10 1
8 9 1014 3 3813 • 14 . 15 Total17 . 0 0 138
APPENDIX J
MASTER RESPONSE TABLE— PERFORMANCE MEAN, MEDIAN AND NUMBER OF FUNDS BY INDEPENDENT FACTOR AND CLASS
89
DataProces- Number 5 Years
Independent sing of Mean MedianFactor Code Funds Class % %
5ect. Ques.A 1 9 19 1 10.1 11.1
19 2,3,4 11.8 12.330 , 5 11.7 10.8
A 2 10 39 1 11.4 11.330 2,3,4,5 11.7 11. 3
A 3 ' 11 23 1,2 11.8 11. 915 3 10.1 10.930 4,5 12.0 11.3
A 4 12 19 1 11.2 11.923 2,3 13.3 11.627 4,5 10.3 11.0
B 1 13 15 1,2,3,4 10.9 9.853 5 11.6 11.3
B 2 14 31 .1,2,3,4 11.6 11.337 5 11.4 11.1
B 3 15 26 1 11.6 11.520 2 11.8 11.522 3,4,5 11.0 11.1
B 4 . 16 13 1,2,3,4 10.5 9.755 5 11.7 11.6
3 "Up" Years Mean Median % %
23.629.428.1
23.6 27.125.6
26.429.1
25.626.1
29.826.326.4
27.225.623.8
28.431.024.0
27.126.723.7
27.5 27. 6
23.725.7
27.627.5
24.426.5
26.8 29.1 26.9 :
24.226.3 25.6
26.927.7
23.625.6
2 " Down" Years
Mean Median % %
-7.210.0-8.7
-7.9-8.8—8.6
-7.5-9.6
-7.1-10.0
•10.310.2-6.4
-11.6—8.8-6.4
10.0 — 8 = 4 -7.4
—8.8-7.3-6.3
-9.4—8.3
—8.8-7.9
00 00 I I -8.4
-8.1-7.5 -9.5 —8.9
-7.5-7.7-9.0
-9.4—8.3
—8.9 -7.9
DataProces- Number 5 Years^
Independent sing of Mean MedianFactor Code Funds Class % %
Sect. Ques.B 5 . - 17 30 1,2 10.3 919
38 3,4,5 12.4 11.9B 6 18 34 1,2,3,4 12.8 12.0
34 ' ' 5 10.2 10,1B 7 19 23 1 12.8 12.0
20 . 2 10.1 10.7.25. 3,4,5 11.4 1 1 6
B 8 20 10 1,2,3,4 13.8 12 i 358 5 11.1 11,0
B 9 21 32 1,2 11.2 m o15 3,4 13.3 11; 920 ' : 5 9.8 10,2
B 10 22 25 1 11.9 12.017 2 12.2 m o25 '3,4,5 10.2 10.3
C 1 23 53 1,2 11.2 11.116 3 12.8 12.2
C 2 24 23 1,2 12.7 11,346 ' 3 11.0 11.3
C 3 25 26 1 13.0 12.743 2,3 10.6 11.0
3 "Up" Years Mean Median % %
2 "Down" Years
Mean Median % %
26.7 25.3 -10.1 -9.028.2 25.9 -7.4 -7.031.3 26.9 -9.8 -9.4"23.8 23.5 -7.3 -7.529.9 27.2 -8.4 —8.825.0 24.2 -8.7 —8.027.4 25.6 -8.5 -7.834.3 27.2 -10.8 -12.826.4 24.4 -8.2 —8.025.5 23.8 -7.0 -7.033.5 30.1 -11.0 -11.625.3 25.0 ' -9.8 -9.026.9 24.4 — 6.9 -7.129.0 26.5 —8.8 —8.426.2 25.6 -9.8 -8.827.0 24.9 -8.6 -8.129.1 27.2 —7.8 -8.530.7 26.5 -9.5 -9.725.9 24.4 -7.9 -7.530.4 27.2 -8.4 ' -8.525.8 24.3 -8.5 -7.9
H
DataProces- Number 5 Years,
Independent sing of Mean MedianFactor Code Funds Class % %
Sect. Ques.c 4 26 13 .1 8 .3 9 .8
56 2 ,3 12 .3 11 .9
c 5 27 24 1 ,2 12 .6 11 .645 • 3 11 .0 1 1 .1
c 6 28 2 1 13 .6 13 .61 2 15 .0 15 .0
66 3 1 1 .4 1 1 .1
c , 7 29 42 1 ,2 12 .1 11 .927 3 10 .6 11 .0
c 8 30 25 1 1 1 .8 11 .528 2 11 .1 11 ,516 3 1 1 .8 10 .6
c 9 . 31 24 1 ,2 9.8 9 .9' 45 3 12 .5 12 .0
c 10 32 48 1 11 .7 11 .121 2 ,3 11 .3 11 .6
c 11 33 0 1 _
3 2 17 .1 16 .766 3 11 .3 1 1 .1
C 12 34 3831
12,3
11.8 12.011.2 11.0
2 "Down"3 "Up" Years Years____Mean Median Mean Median% . % % %
2 1 .8 22 .6 - 9 . 0 —8 .528 .9 . 26 .5 —8.3 —8 .0
3 0 .9 2 6 .4 - 9 . 8 - 9 . 025 .8 24 .0 - 7 . 7 - 7 . 8
30 .5 30 .5 - 7 . 5 - 7 . 54 0 .4 4 0 .4 - 1 4 . 8 - 1 4 . 827 .3 25.3 . - 8 . 4 —8 .0
27 .8 26 .0 - 7 . 6 - 7 , 527 .1 2 4 .8 - 9 . 8 - 1 0 . 6
27 .2 24 .4 - 7 . 4 - 6 . 726 .2 25 .3 —8.0 - 8 . 53 0 .4 3 2 .1 - 1 0 . 9 - 1 0 . 9
2 2 .4 20 .1 - 6 . 5 - 6 . 830 .3 27 .2 - 9 . 5 - 8 . 8
27 .6 25 .6 - 8 . 2 - 7 . 927 .4 25 .7 - 9 . 0 - 8 . 4
4 1 .4 38 .4 - 1 1 . 7 — 10 .62 6 .9 25 .3 — 8 .3 - 7 . 9
2 9 .4 27 .2 - 9 . 8 - 9 . 325 .2 24 .0 - 6 . 7 - 6 . 5
DataProces Number 5 Years-
Independent sing of Mean MedialFactor Code Funds Class % %.
Sect. Ques.C 13 35 31 1 10.5 9.9
38 2,3 12.4 11.9C 14 36 0 1 _ _
0 2 -
69 . 3 11.5 11.3C 15 37 8 1,2 11.8 12.8
61 3 11.5 11.1Percent 52 16 1 9.1 9. 7Yearly- 29 : 2 11.8 11.3New Cash. 24 3 12.9 12.7Date 6 17 1 11.0 9.8Shares 36 2 12.7 12.5Offered 16 3 9.5 10.4Load Versus 7 52 . 1 12.0 11. 7No-Load 17 2 10.2 9.7Incentive 8 5 1 15.7 12.9Fee 64 2 11.2 11.0Average 9Asset Value
34 1 10.9 10.835 2,3,4,5 12.2 11.3
3 "Up" Years Mean Median % %
26.2 23.328.6 26.3
27.5 10.923.5 23.228.1 26.323.1 21.826.7 26.331.5 30.427.4 26.530.3 27.821.5 22.128.7 26.523.9 19.934.0 26.527.0 24.927.6 26.827.5 24.8
2 "Down" Years
Mean Median % %
-9.3 -8.8-7.8 -7.8
—8.4 —8.1-3.8-9.0
-5.0-8.8
-8.5-7.2-9.8
-8.0-6.9
-10.1— 9.6— 8.8 -6.3
-9.3-8.5-6.4
-8.8-7,2
—8.0 — 8.4
-6.7-8.6
-6.0-8.5
1 1
H 00 -9.0
-6.9
APPENDIX K '
PERFORMANCE TABLE BY THIRDS FOR ALL PERIODS
94
A. 5 Years (Data Processing Code No. 2) 1965-1969
Performance
First Third Middle Third Last Third
Number of Funds
232323
Total 69
Mean_%
17.111,36.211.5
StandardDeviation
%
4.4.9
3.15.5
Mean Range% . Max.-Min.
16.6 29.4 to 12.811.3 12.7 to 9.87.4 9.7 to -4.4
11.3 29.4 to 4.4
B. 3 ,fUp" Years (Data Processing Code No. 3) 1965, 1967, 1968 First Third 23 39.8 8.9 38.4Second Third 23 25.6 1.6 25.7Last Third
Total2369
17.227.5
3.58.5
62.0 to 29.628.9 to 22.8
17.8 22.6 to 8.725.7 62.0 to 8.7
C. 2 "Down1" Years (Data Processing Code NO. 4) 1966, 1969 First Third 23 -2.1 3.6 -3.6Second Third 23 / -8.2 1.2 -8.1Last Third
Total2369
-15.0-8.4
3.16.0
6.3 to -6.0-6.3 to-10.9
-14.1 -11.2 to-22.5-8.1 6.3 to-22.5
APPENDIX L
COMPUTER RUN - FUND PERFORMANCE AND RANK
96
L - 1
9 a N K I D F U N O N A M EO a T f S h R S . O F F E R E D
i n v e s t m e n ta d v i s o r Y E A R
L O A U ' F U N O
I N C f m Tf e e
1 9 6 5a s s e t s
1 5 1 P R I C E T R N 1 R P R I C E - 6 0 ■ ? . 92 2 1 E N T E R o R I S E 2 s h a r h l d r s 6 2 1 1 63 , 5 6 S E C U R I T Y E . 1 S E C M G T ■ „ 6 3 ■- 2 • 14 6 2 V A L U E L I N E , 2 ■ r e r n h a r d 5 6 ■ '? 2 05 6 5 V E N T U R E 5 E 2 V E N T U R E . 6 6 . ? 16 1 5 C R U - v N w U/\ 2 5 E C U R I T I S 6 9 ; 2 27 5 5 S C U U D E R S P 2 S S C L A R K . 5 6 2 3 18 3 9 M U T U A L S E C ' 2 M U T U A L S C , 6 1 1 2 19 3 5 K ' N I C * E R 8 G 2 K P E T T I T . 5 3 - 2 4
1 0 1 1 C O L O N I A L E 1 C O L M G T 6 6 " 2 11 1 4 5 0 T C 2 R E V I E W M G 5 6 2 11 2 6 V I E m P l E T O n 2 T E M P L E T O N 5 4 2 . 41 3 2 9 I N V R E S E A R 2 I N V R E S R C 5 9 1 2 21 4 5 4 K E v E R F 1 R E V E R E M G 5 9 ; ? 41 5 6 3 V A N O E R H I L T 2 : V A h u E R H L T 6 4 2 • 11 6 • 2 7 . I M P E R I A L G 2 . I M P E R I N V • 6 3 2 21 7 6 7 W E S T E R N I N 2 I N V S T M G T 6 0 2 21 8 6 8 vi I n i j S O R 2 W E L L I N O T N 5 9 1 7 41 9 6 1 V A L U E L I N E 2 B E R N H A R D 5 0 . 2 1 32 0 9 ■ C H E M I C A L 3 E O E R S T A O T 3 8 1 ? 3 2 92 1 3 1 J O H N S O N 3 f) J O H N S O N 4 7 9 4 12 2 4 4 o p r e n h e i m e 2 . O P P E . N M G r 5 9 I • 2 82 3 4 3 N E K T O N 1 N E W T U N C O • 6 0 2 - 22 4 . 3 A N C H O R G R 2 . A N C H O R c r 5 2 2 1182 5 ' 3 0 1 V E S T . 2 I V E S T I N C : 5 7 ' 1 , 5-2 6 2 6 M E i) b (3 G 0 R U . 2 I N V C U l i S L , 6 4 1 . 42 7 1 7 U E V E G H 2 Ivu S T W I N ■ - t>3 2 2 02 8 2 A ;-1ER N A T G 2 S E C M t i T R 6 7 , 2 42 9 5 0 P R I C E T R G \ 2 R P H I C E M 5 0 2 1 2 93 J 2 2 F E o L R A T t U 2 O n E E L E V N 6 7 1 • 2 83 1 3 2 K E y S T O n l *S 3 K E Y S C O S T 3 5 2 . 2 2 63 2 1 3 C U M S T K S B 1 S T A T E H M D 6 2 2 33 3 1 ' A M E R I N V E S 2 C m E S T h U T T - 5 8 . 2 ' 2 5.34 4 9 P L A N N E D ' 1 B U R G E S S L . 61. 2 13 5 ■ 1 6 D E L A W A R E . 3 D E L M G r 3 7 . ? 1 8 6
1 9 ' > 9 A V G ■ A S S E T P F R C F M T " y « L Y 0 F 0 m M E A NA S S E T S • A S S E T S C L A S S M E - ; G a S M P E R F O R M A N C E
4.3 ' 2 . ' 7 . 9 2 9 . 3 77 7 1 3 8 R 4 . . 3 h U 6 . 2 7 . 1 S1 3 % ' 6 9 2 - 4 K . 9 • . ' 2 3 . 7 72 S 0 ■ 1 3 5 3 . ' 2 9 . 2 2 1 . 1 3
2 2 1 - 7 „ ? 2 0 . 4 41 3 * I . 2 2 . 6 1 6 . 0 5 .
1 9 0 1 1 0 ' 3 ‘ • 2 1 . 7 . • 1 7 . 3 14 3 1 1 1 4 . 6 1 6 . 6 4 ,
1 2 5 % 6 . 6 1 6 . 7 61 2 9 G S 2 3 9 . 0 1 6 . 7 4
3 . . 2 . 1 M . l 1 6 . 6 97 6 1 - 5 . 2 1 6 . 5 7 . ,6 4 1 H . O 1 5 . 2 6 •
. 2 1 1 3 1 2 0 . 0 • ) 5 . 0 22 0 1 0 1 3 4 . 3 1 4 . 9 01 % 1 0 1 ' 2 h . n 1 4 . 9 09 , 6 1 1 A . 6 1 3 . 5 7
, 3 0 7 1 9 0 ' 3 1 7 . 5 1 3 . 5 36 h 4 0 2 2 0 . 9 I 3 . 4 v
5 7 3 ' 4 5 1 4 - 1 . 1 1 2 , 9 h1 4 3 9 2 2 1 4 . 9 1 2 . 9 3
' 3 1 7 1 7 2 3 ' 3 0 . 6 1 2 . H y .1 6 9 1 • 2 7 . 6 1 2 . 8 1
5 1 9 . 3 1 8 4 ■ 1 9 . 1 , 1 2 . 7 12 9 6 1 5 1 3 ' 9 q . ] 1 2 . 6 2
1 3 9 1 1 3 . 7 1 2 . 2 95 9 3 9 2 1 1 , 3 1 2 . 2 2
7 6 1 — , 4 1 2 . 1 *6 . 1 3 3 7 1 4 9 0 . 9 1 2 . 0 3
1 6 1 2 1 9 . * ) 2 . 0 0 -6 1 V 4 ] % 4 9 , 6 1 1 . 9 3
2 6 1 4 1 ■ 2 8 . 7 1 1 . 9 3. 2 9 5 1 6 0 3 3 1 . 3 . 1 1 , 9 2
3 2 1 ‘ 1 2 . 8 1 1 . 5 7 .4 4 6 3 1 6 4 ' 7 . 7 1 1 . 2 7 ,
Ir -1 1— Continuedd a t e S h R S i n v e s t m e n t l o a d I N C E N T | R 6 5 1 9 6 9 A V G A S S E T P E P C F N T Y R L V G F Q M M E A NR a n k I Q F U N D N A M E o f f e r e d A D V I S O R . Y E A R F U N D F E E A S S F T S A S S E T S / a s s e t s . C L A S S N E W C A S H P E R F O R M A N C E
3 6 4 1 N A T S E C O R 3 N A T R E S C 4 0 2 1 4 5 ‘ 2 5 9 2 0 2 . 3 ' " 1 . 0 . 1 1 , 0 83 7 3 6 L E X I N G T O N 3 L E X s e c 4 1 . 1 . 2 3 3 1 1 6 . 7 4 2 ■ 1 6 . 0 1 1 . 0 43 8 1 0 c o l u n i a l g 2 ■ C O L M O T 4 9 ? • 4 4 7 3 5 8 - 1 . 7 . 1 1 , 0 13 9 5 2 P u t n a m O R 2 • P U T M A M M G 5 7 ‘ 2 . 2 8 0 6 b ? ’ 4 7 3 8 . 3 1 0 . 9 240. . 3 7 M A S S I N V G 3 M A S S F I N 3 4 ■ 2 7 U 1 2 5 2 9 8 1 1 . 5 1 0 . 7 54 1 . 3 4 K E Y S T O N E s 3 K E Y S C O S T 3 5 I 2 1 n 6 , 1 7 3 1 3 9 - . 9 1 0 . 4 94 2 •1 8 O R Y F U S 3 ' D R Y H U S C R 5 1 . 2 ’ 8 0 0 2 3 9 8 - 1 5 9 9 . 1 3 . 7 1 0 . 3 ?4 3 . 4 8 . P I O N E E R E N 2 • P I O N M O T . 6 2 ' 2 1 . 6' ' 4 2 4 . 9 1 0 . 1 04 4 4 0 L H A H S O N ; 1 . B A U S O N I N 6 0 2 5 3(1 1 8 '' ,• 2 5 . 2 , 1 0 . 0 34 5 5 9 t e c h n o l o g y 3 . S U P I N V 4 8 2 3 9 5 6 3 1 . 5 1 3 . 9 . 8 64 b 0 9 ; a/ U R T M 1 W O R T H . 6 2 ; ■ ? . 1 1 1 - 1 1 . 4 9 , 7 6Hi 6 6 V I K I N G G R O 2 P I O N F I N ' 6 3 2 1 1 1 - 9 . 0 9 . 7 34 8 2 0 E N E R G Y 2 r s a m u e l 5 5 2 3 5 1 3 5 ■ 8 5 ' 1 8 . 6 9 . 6 84 9 5 3 P U T N A - I I N V 3 p u t n a m m g 6 4 • 2 2 6 7 3 1 u • 2 8 8 * 4 - 8 . 1 9 . 4 95 0 2 4 F R A I n M I N c . 3 f r a n k o i s 4 8 • , 2 6 1 3 1 0 . - 7 , 7 9 . 2 75 1 3 3 : K E Y S T ( ) N E K 3 k e y s c u s r ‘ 3 5 1 • 2 1 3 ? 2 9 7 ' 2 1 4 8 . 5 9 . 2 15 3 6 4 V A N G U A R D 1 • V A N G U A R D 6 6 1 2 1 2 2 6 . 8 8 . 5 2 .5 3 5 8 S T E I N R O E • 2 . s r h q f r n • 5 8 2 ? 4 7 1 2 5 8 6 ' . 1 2 . 8 8 e ? 65 4 1 4 C O N C O R D 2 . C H A U V I S 6 5 2 2 . 1 3 2 1 5 . 4 7 . 9 95 5 3 8 M I F G R O W T H ‘ I ‘ H E R I T A G E 6 1 1 • ? 1 • ? 2 " 1 1 3 5 . 7 7 . 8 25 6 2 5 G R O W T H I N O ■ 3 »v M L A I R 6 9 2 ? 3 7 44 4 0 - 4 , 4 • 7 . 5 35 7 7 C A P I T A L I N . 3. C A P S P O N S 6 2 . 1 .. 2 1 4 3 2 0 , 6 7 . 4 95 8 2 8 I N T E G M N O R 1 i N T t G O N , 6 4 1. 2 • • 3 i ' 9 , 6 1 5 . 8 7 . 3 6
■ 5 9 5 7 , S T E I N R O E ■ : ■ H ■ S T R Q f r n • 6 3 2 . 2 2 2 " 1 6 ' . - . 1 9 ' - 1 4 , 0 6 a ib O 4 6 P E N N S O O A R • 2 .. P E N N S O ■ 5 7 . '• 2 ' .2 ’ 7 6 ■■■'. 1 5 0 '■ 1 1 3 8 . 9 5 . 5 3o l 4 7 p i l g r i m . 1 P I L G R I M ■ 6 4 ' ' 1 ? . ■ 1 1 2 - 1 3 3 . 0 5 , 5 1• 0 2 1 9 E G R E T G H 1 E G R E T M O T . . 6 5 1 2 4 ' 3 0 ' 1 7 ? % . ? . . 5 , 2 76 3 . 1 2 • c o m m e r c e 2 F U N D S I N C 4 9 1 " ' 2 7 9 .. 9 3 8 8 - 2 . 4 5 . 2 50 4 5 6 E A C U N M I L 1 ■ B E A C O N M L 6 4 2 ? 1 1 - 4 . 6 4 . 4 86 5 6 B O S T O N C O M ' 2 B O S T O N M G 5 2 . 1 2 6 1 .48 5 4 - 9 . 9 4 . 0 56 6 4 2 N E A M U T U A L 1 E D U C M O T 6 8 • 1 2 1 • 1 6 3 4 . 8 3 . 6 46 7 4 0 N A S S A U • ■ 2 C L R K 0 0 0 0 6 9 '■ 2 . 2 . ■ 6 8 7 1 ’ ■ 3 . 0 3 . 0 16 6 2 3 F I R S T P A R T 1 A M E R O E M 6 7 2 2 ' 1 4 1 2 3 , 0 2 . 6 66 9 8 c a p i t a l s h 3 C a P S P O N S 6 0 1 2 1 4 1 6 1 1 0 1 « 1 o # o - 4 . 3 8
C O M P A f < A H u £ M A R K E T P E R F O R M A N C E = ' 5 . 3 4
L - 2
R A N K ID. F U N D N A M ED A T E S H R S O F F E R E D
I N V E S T M E N TA D V I S O R Y E A R
L O A DF U N D
I N D E N TF E E
1 9 : 6 5A S S E T S
' 1; 2 1 E N T E R P R I S E 2 S H A R H L D R S ■ 6 2 1 62 6 5 V E N T U R E S E • 2 V E N T U R E - ■ 6 6 1 2 13 6 2 V A L U E L I N E , 2 . P E P M H A R D . 5 6 1 2. 2 04 5 6 S E C U R I T Y E 1 S E C M G T 6 3 2 1. 5 5 1 P R I C E T P N. 1 : R P R I C E ' 6 0 2 96 1 6 c r o w n w ’d a 2 S r . C U R I T I S 6 9 2 27 3 9 M U T U A L S E C 2- M U T U A L S C 6 1 2 18 5 5 S C U O D E ? S P 2 S S C L A R K 56. . 2 3 1q 6 3 V A N D £ 5 9 1 L T : 2 v a n o e r r l t 6 4 2 .. 1
1 0 5 4 R E V E R E i: R E V E R E M-G 5 9 2 4i t 1 1 C O L O N I A L E i C O L M G T 6 6 1 ■ 2 . ■ 11 2 6 9 W O R T H - i W O R T H 6 2 2 , 11 7 1 A M E ' R T N V E S 2 C H E S T N U T ! " 5 8 .. 2 2 51 4 1 4 C O N C O R D 2 C 0 A D V I S 6 5 2 11 5 3 2 K c y S T O N E S 3 K E Y S C U S T 3 5 1 2 2 2 61 6 6 1 V A L U E L I N E . 2 B E R N H A R D 5 0 1 2 1 31 7 4 5 9 T C 2 R E V I E W M G . 5 6 2 11 * 2 A M E R M A T G 2 S E C M G T R 6 7 1 2 41 9 4 8 P I O N E E R E N 2 . P I O N M G T 6 2 2 12 0 2 7 I M P E R I A L G . 2 I m D E R I N V 6 3 • 2 22 1 6 7 W E S T E R N I N ‘ 2 I N V S T M G T 6 0 . 2 22 2 3 5 K N I C K E R B G 2 K P E T T I T 5 3 2 42 3 4 9 . P L A N N E D 1 P U R G E S 5 L 6 1 2 . 12 4 7 A N C H O y GP. 2 A N C H O R C R 5 2 1 2 . 1 1 32 3 4 4 O R R f N H E I N E 2 O P P F N M G T . 5 9 1 2 32 6 ' 2 8 . T N T E G O N G R 1 I N T E G O N 6 4 2 32 7 2 9 I N V P F S 6 A R . 2 I N V R E S R C , 5 9 1 2 22 8 4 3 N E W T O N 1. . N E W T O N C O • 6 0 2 22 9 5 2 P U T N A M - O R 2 P U T N A M M G 5 7 2 2 8 03 0 6 4 v a n g u a r d 1 ' V A N G U A R D 6 6 1 . 2 1 ,3 1 3 0 I V E S T , ' 2 I V E S T I N C 5 7 ■ ' 1 53 2 5 8 W I N D S O R . - 2 W E L L I N G T N . 5 9 • ■ 1 7 43 3 2 6 H E D 9 G G O R D 2 I N V C O N S L 6 4 1 43 4 2 2 F E D E R A T E D 2 O N E E L E V N 6 7 2 . 83 5 3 3 K E Y S T O N E K 3 K E Y S C U S T 3 5 1 2 1 3 2
1 9 . 6 9 A V G A S S E T ; P E R C E N T Y P L Y G E O M M E A N5 S F . T S A S S E T S ’ C L A S S N F W C A S H P E R F O R M A N C7 7 1 3 8 8 4 3 8 . 6 6 2 . 0 4
2 2 1 ■ ■ - 7 . 2 5 5 , 8 12 5 0 ■. 1 3 5 - 3 2 9 . 2 5 3 . 0 21 3 8 6 9 ' ■ 2 3 3 . 9 4 9 . 7 94 3 2 6 2 7 . 9 • 4 8 . 3 71 3 8 1 2 2 . 6 4 4 . 7 84 3 ‘ 1 . 1 4 . 6 4 4 . 5 0
1 9 0 1 1 0 ‘ 3 • 2 1 . 7 - 4 4 , 3 62 0 1 0 1 • 3 4 . 3 4 1 . 0 02 1 1 3 1 2 0 . 0 4 0 . 4 1
1 2 9 6 5 2 3 9 . 0 3 3 . 4 21 . 1 1 ' - 1 1 . 4 3 8 . 4 0
2 9 5 1 6 0 3 ‘ 3 1 , 3 3 3 . 8 63 2 1 1 5 , 4 3 3 . 1 3
6 1 0 4 1 8 4 9 . 8 3 3 . 0 26 8 4 0 2 2 0 . 9 3 2 . 8 3
. 3 . 2 1 ■ 3 . 1 . 3 2 . 7 67 6 ■- 1 - . 4 3 2 . 6 96 ■’ 4 1 2 4 . 9 3 2 . 4 7
1 8 ;• i d ’ 1 2 3 . 0 3 2 . 3 89 6 1 1 3 . 3 3 1 . 4 1
1 2 8 1 . 6 . 6 3 0 . 0 93 2 - ' 1 1 2 . 8 2 9 . 5 6
5 1 9 3 1 8 4 1 9 . 1 2 8 . 8 73 1 7 1 7 2 3 3 0 . 5 2 8 . 4 9
9 6 1 1 5 . 8 2 7 . 2 06 4 . 1 8 . 0 2 7 . 1 3
1 6 9 1 2 7 . 6 2 7 . 1 26 6 7 4 7 3 4 8 . 3 2 6 . 7 3
2 2 1 6 . 8 2 6 , 5 22 9 8 151 ' : 3 3 3 . 1 2 6 . 5 03 0 7 1 9 0 3 •• 1 7 . 5 2 6 . 5 0
1 3 9 . 1 1 3 . 7 . . 2 6 . 3 51 6 ' • 1 2 1 2 . 3 2 6 . 2 7
2 9 7 2 1 4 3 8 . 5 2 5 . 6 5
.vovo
■ L - 2— ContinuedORTH S HRS ' I N V E S T M E N T LORO I N C E N T 1969 RVG ' . R S S E T . P E R C E N T Y R L Y ' GEOM HERN
R A N K I D F U N D N A M E O F F E R E D . A D V I S O R • Y E A R F U N D • F E E A S S E T S A S S E T S . A S S E T S C L A S S .. N E W C A S H , P E R F O R M A N C E3 6 1 6 D E L A W A R E ' ■ 3 ' D E L M G T , 3 7 ' ' 1 2 • 1 8 6 4 4 6 ' 3 1 6 ' 4 7 . 7 2 5 o 6 13 7 3 4 K E Y S T O N E S 3 K E Y S O U S T 3 5 • 1 2 1:06 1 7 3 1 3 9 3 - . 9 2 4 . 8 93 8 3 6 L E X I N G T O N • 3 . L E X S E C 4 1 1 • 2 '33 1 1 6 ' 7 4 2 1 6 . 0 2 4 . 8 23 0 1 7 O E V E G H > 2 W O S T W I N 6 3 . 2 2 E O 5 9 3 9 2 1 1 . 3 2 4 . 4 44 0 1 0 C O L O N I A L G 2 C O L M G T 4 9 1 2 :44 7 3 5 8 . 2 - 1 . 7 2 4 , 2 7 .4 1 4 1 N A T S E C G R 3 N A T R E S C • 4 0 . 1 2 1 4 5 2 5 9 ' 2 0 2 3 1 . 0 * 2 4 . 0 44 2 6 0 T E M P L E T O N 2 T E M P L E T O N ' 5 4 1 2 4 7 6 1 - 5 . 2 . 2 3 . 8 94 3 . 1 3 C O M S T K S B .1 S T A T E 3 N D 6 2 . 1 ' 2 ‘ 3 2 6 1 4 1 2 8 . 7 ‘ 2 3 . 7 04 4 2 0 E N E R G Y 2 R S A M U E L 5 5 : 2 2 3 5 1 3 5 8 5 2 1 8 . 6 2 3 . 6 44 5 6 6 V I K I N G G P O 2 P I O N F I N • 6 3 i • 2 ; 1 1 1 • 1 - 9 . 0 2 3 , 3 14 6 ' 7 C A P I T A L I N 3 C A P S P O N S ' 6 2 i 2 : i ' 4 3 1 2 0 . 6 2 2 . 8 54 ? 5 9 T E C H N O L O G Y . 3 . . ' S U P I N V . 4 8 i 2 3 9 5 • 6 3 1 ’ 5 1 3 ' . 5 * « 2 * 2 2 . 6 04 8 1 8 D R Y R ' J S 3 D P Y F U S C R 5 1 i 2 . 8:00 2 3 9 8 1 5 9 9 . 5 . ■ 1 3 . 7 ; 2 1 . 6 24 9 . 9 C H E M I C A L 3 E B E P S T A O T 3 8 i . 2 3 2 9 ' 5 7 3 4 5 1 . 4 - 1 . 1 2 0 . 9 35 0 4 6 P E N N S O U A R 2 P E N M S O 5 7 2 2 7 6 1 5 0 • ■ 1 1 3 3 3 . 9 . 2 0 . 2 75 1 3 1 J O H N S O N . 3 0 J O H N S O N 4 7 2 2 4 1 1 4 3 9 2 ' 2 • 1 4 . 9 . 1 9 . 9 45 2 5 0 n R I C E T R G . 2 R P R I C E M 5 0 • 2 2 1 2 9 • 6 1 3 3 7 1 . 4 2 0 . 9 1 9 . 8 45 3 4 7 ° ' T L G R I M • . 1 P I L G R I M 6 4 • 1 2 1 1 2 ' ' 7 . ' 1 3 3 . 0 . 1 9 . 6 55 4 3 8 M T F G R O W T H ' 1 H E R I T A G E . 6 1 1 2 1 2 2 • 1 1 1 3 5 . 7 1 9 . 6 05 5 4 0 L B A O S O N ' 1 0 A C S O N I N 6 0 2 2 . 5 3 0 1 8 1 . 2 5 . 2 . 1 9 . 2 79 6 5 3 S T E I N R O E 2 S T R O F P N . 5 8 2 2 4 7 1 2 5 8 6 2 1 2 . 8 1 8 . 7 35 7 2 4 F R A N K L I N C ' 3 p p A N K O T S 4 8 . 1 2 6 1 3 1 0 1 7 . 7 1 8 . 5 75 8 3 7 M A S S I N V G 3 M A S S F I N 3 4 •,■ 1 . 2 . . 7 1 1 . 1 2 5 2 9 8 1 ' ' 5 . 1 . 5 " 1 7 . 8 4. 5 9 1 2 ' C O M M E R C E 2 F U N D S I N C • 4 9 1 2 7 9 9 3 8 6 2 ' - 2 . 4 1 7 . 8 2 .
. 6 0 5 7 S T E I N R O E ' 2 S T R O F P N 6 3 2 2 .22 - 1 6 1 9 . 1 - 1 4 . 0 1 7 . 4 16 1 - 5 3 P i J T N A M I N V ■ " 3 P U T N A M M G . ' 6 4 ■ ‘ V ' 2 2 6 7 3 1 0 2 8 8 4 ” 3 . 1 1 7 . 0 46 2 2 5 G R O W T H I N C W B L A I R ■ . 6 9 2 2 . 3 7 4 4 4 0 '■ 2 - 4 . 4 1 6 . 3 16 3 1 9 9 G ? E T G R E G R E T M G T 6 5 . i 2 4 3 0 1 7 1 2 9 . 2 1 6 . 2 46 4 5 B - A C O N M I L * 1 D E A C O N H L 6 4 2 . 2 1 . 1 . 1" 1 - 4 . 6 1 4 . 6 36 9 2 3 F I R S T E A R T A M F P G E M 6 7 - 2 2 1 ' 4 3 • 1 2 3 . 0 1 4 . 3 166 4 2 . N E A M U T U A L 1 E D U C M G T 6 8 1 ' .. 2 •' 1 ' 1 6 ' 9 '' 1 • . 3 4 . 8 1 2 . 8 2 .6 7 ' 4 0 N A S S A U ? C L R K D O O G 6 9 - 2 • ? : • : ■ ' 6 • 8 7 1 . • 3 . 0 1 1 . 4 4 .6 8 ' 6 B O S T O N C O M 2 B O S T O N M G . . 5 2 1 ' 2 • . • 6 1 4 8 5 4 2 ' - 9 . 9 : ■ ' 1 1 . 0 66 9 8 C A P I T A L S H . 3 C A P S P O N S . 6 0 1 2 . , 1 4 1 6 1 10.1 3 - 1 0 . 0 8 . 6 8
C O M P A R A B L E ^ A ^ K f T D E R F O R M A N C E = 1 6 . 3 9
100
- '•■ ■■ ~--- DATE SHRS i n v e s t m e n t%ANK ID FUND NAME o f f e r e d . a d v i s o r
1 60 TEMPLETON 2 TEMPLETON2 51 PRICE TR N 1 R PRICE3 31 JOHNSON 3 0 JOHNSON4 9 CHEMICAL 3 e b e r s t a d t5 50 PRICE TR G 2 R PRICE M6 .37 MASS INV G 3 ■ MASS FIN7 29 INV RESEAR 2 INV RESHC8 35 k n i c k e r s g . 2 K PETTIT9 53 PUTNAM INV 3 PUTNAM MG
16 4 D L RABSON 1 BA8S0N INn 24 f r a n k l i n c 3 FRANK DIS12 68 WINDSOR ' 2 w e l l i n g t n13 13 COM STK SB 1 STATE BND14 45 0 T C 2 : REVIEW MG15 17 DEVEGH 2 WD ST WIN16 25 GROWTH IND ' 3 W BLAIR17 18 DRYFUS • . 3 DRYFUS CR18 30 IVEST 2 IVEST INC19 6 BOSTON COM 2 BOSTON MG20 43 ' NEWTON 1 NEWTON CO21 58 STEIN ROE 2 ST RO FRN22 41 NAT SEC GR ■ 3 . NAT RE SC '23 26 HEDBG GORD 2 INV CONSt.24 10 COLONIAL G 2 COL MGT25 22 FEDERATED 2 ONE ELEVN.26 56 SECURITY E 1 SEC MGT .27 59 •TECHNOLOGY 3 SUP INV28 36 LEXINGTON 3 LEX SEC29 44 OPPCNHEIME 2 OPPEN MGT30 27 IMPERIAL G 2 IMPER INV31 16 DELAWARE 3 DEL MGT32 38 MIF GROWTH 1 HERITAGE33 3 ANCHOR GR 2 ANCHOR CR34 66 VIKING GRO 2 PION FIN35 34 KEYSTONE S 3 . KEYS CUST
L " 3/-- —
LOAD INCENT "1965 1969 AVGYEAR FUND . FEE ASSETS ASSETS ASSET!
54 "1 2 4 7 660 2 2 9 43 ’ 2647 2 2 " 41 143 9238 1 2 329 573 . 451
: 50 •2 . 2 129 613 ■ 37134 1 2 : 711 . 1252 98159 1 2 2 6 453 1 2 4 12 ; 864 1 2 267 310 28860 2 2 • 5 ' 30 1848 • - 1 2 6 13 1059 . 1 1 74 307 ■ 19062 1 2 3 26 1456 1 . 2 1 3 . 2 -63 2 2 . 20 59 * 3969 2 . 2 . 37 44 4051 1 2 , 800 . 2398 159957 1 1 . 5 298 15152 1 2 61 48 5460 1 2 2 16 958 . 2 2 47 125 8640 1 2 ■ 145 . 259 20264 2 ' 1 • ’ - 4 13 . 949 1 2 44 73 V. 5867 • 1 2 8 16 1263 , 1 2 1 138 6948 1 2 : 395 ' 631 . 51341 .. 1 2 33 116 7459 1 • 1 ' 28 317 17263 1 2 . 2 18 1037 1 2 186 446 31661 1 2 1 22 1152 1 2 . 1.18 519 31863 1 2 1 1 135 1 2 . 106 173 139.
ASSET. PERCENT YRLY GEOM MEANCLASS . NEW CASH PERFORMANCE
1 ”5o2 6,312 7 09 5.262 14o9 3.114 -1.1 1.884 , 20,9 . 1.185 1.5 -• ,851 8.6 - .581 6.6 - . 784 -8,1 -1,001 25.2 -2.571 7.7 " -3.413 17 o 5 -3.551 28.7 -3.741 8,1 -3.922 11,3 -3.962 -4,4 -4.485 13.7 -4,763 38.1 -5.342 -9.9 -5.731 27.6 -5.752 12.8 -5.813 1.0 -5,931 '' 13.7 -5.992 -1.7 -6.351 ’ 2.8 -6.512 38.9 -6.745 -«2 —6.872 16,0 • -6.903 30.5 • " -7,121 28.0 -7.174 7.7 -7.311 35,7 -7.774 l?.l -7.871 -9.0 -7.943 -.9 -8.13
101
L - 3— ContinuedDATE SHRS i n v e s t m e n t LOAD INCENT " 1965} 1969 AVG ' ASSET PERCENT YRLY g e o m m e a n
Ra n k ID FUND NAME o f f e r e d ADVISOR YEAR FUND FEE a s s e t s ASSETS ASSETS. . CLASS NEW Ca Sh p e r f o r m a n c e
36 20 ENERGY ’ 2 R SAMUEL 55 2 2 . ■ 35 - 135 85 2 Itiob ■ =8.4237 40 NASSAU “ 2 ' CLRK DOOG .. 69 2 2 6 8 7 1 3,0 =8.5338 42 NEA MUTUAL 1 EOUC MGT . 68 • 1 2 ’ 1 16 9 1 34 o 8 -8.8039 67 WESTERN IN 2 INVST MGT 6C 1 2 2. 9 6 - . 1 18,8 -8.82' 4n 57 STEIN ROE 2 ST RO FRN 63 . ‘ • 2 ■ 22 - 16 19 . 1 "14*0 -8.9041 5 BEACON MIL 1 • BEACON HL 64 2 .. 1 1 1 ' 1 • -4,6 -9.15. 42 52 PUTNAM GR 2 PUTNAM MG . 57 2 . 280 667 473 : 4 .8,3 . -9.2343 19 EGRET GR 1 EGRET MGT • 65 2 . 4 30 17 1 29,2 -9.3444 11 COLONIAL E 1 COL MGT 66 • 2 1 129 . 65 2 39,0 -9,6545 61 VALUE LINE 2 BERNHARD 50 1 2 . ' 13 68 40 2 • 20,9 =10*63 .46 49 p l a n n e d ■ 1 BURGESS L 61 1 ■ 2 1 3 2 1 12.8 -10.9147 12 c o m m e r c e 2 FUNDS INC 49 2 79 93 86 2 -2.4 -11*2148 33 KEYSTONE K 3 KEYS CUST 35 2 132 297 .214 . 3 8,5 -11.5849 21 ENTERPRISE 2 s h a r h l d r s 62 1 • 6 771 388 4 38,6 .-11.685 a 7 CAPITAL IN 3 CAP SPONS 62 2 • 1 4 3 1 20.6 -12°1051 23 ■ FIRST PART 1 AMER GEN 67 2 . 1 4 3 1 . - 23,0 -12.70
' 52 47 PILGRIM 1 PILGRIM 64 . 2 ■ 1 12 7 1 ■ 33.0 -12,7053 2 AMER NAT G 2 SEC MGT R • 67 1 2 4 7 6 1 -«4 -12,9554 15 CROWN W DA 2 SECURITIS 69 , 2 . 2 13 8 : 1 22.6 -13.1555 A 6 PENN SQUAR 2 PENN SQ 57 2 76 150 113 3 8,9 -13.32 •56 32 ' KEYSTONE-S 3 KEYS CUST 35 : 2 • 226 610 ' 418 4 9,8 ' -13,6657 64 VANGUARD 1 = VANGUARD 66 2 . . 1 2 2 . 1 6,8 -13,8658 55 SCUDDER SP . 2 S S CLARK 56 ' 2 31 190 110 3 21.7 -14,1459 ■ 1 AMER 1MVES 2 CHESTNUTT 58 2 25 295 • ■ 160 3 31.3 -14.5060 .. 62 VALUE LINE 2 BERNHARD 56 - 2 . 20 • 250 - 135 - 3 29,2 -14,7561 • 54 REVERE 1 REVERE MQ v 59 • 2 : 4 21 13 1 • 20.0 -14.7862 39 MUTUAL SEC 2 MUTUAL SC 61 2 1 4 3 1 14.6 -15.0763 63 VANDERBILT ? . VANDERBLT 64 2 1 20 10 1 34.3 -15,5464 48 PIONEER EN 2 PION MGT 62 2 1 , ' 6 4 1 24.9 -16,6365 28 INTEGQM GR ' 1 . INTEGON 64 1 ■ . 2 : 3 9 6 1 . 15.8 -16.8166 65 VENTURE s e 2 VENTURE 66 ■ , 2 ■ 1 2 2 1 -7,2 ■ -18,20•67 8 CAPITAL SH . 3 CAP SPONS 60 1 • 2 . 141 61 . 101 3 -10,0 -21.1568 14 CONCORD 2 C B ADVIS 65 2 ■ 2 1 3 • . 2 . ’ 1 15.4 -21.1769 69 WORTH V WORTH 62 • 1 . 2 1 1 1 1 -11 o 4 -22.55
COMPARABLE MARKET PERFORMANCE = -9.37
APPENDIX M
COMPUTER RUN - LIQUIDITY OF MUTUAL FUNDSTWO "DOWN" YEARS (B-6) .
103
CLASS12
OBSERVED FREQUENCY TABLE, CLASS
' PERF GRP TOTAL 1 2
22 7 ' 1523 • 11 . 1223 , 16 7
TOTAL ■ 68 . 34 34UNLISTED RESPONSES = 1 '
EXPECTED FREQUENCY TABLE ■. CLASS
.PERF GRP TOTAL 1 2
1 22 11,0 11,02 23 11,5 11.53. 23 . 11.5 11.5
TOTAL 68 34 34
CALCULATED CHI SQUARE = 6.474degrees of freedom = z
C U S S NUM . MEAN STD DEV
1 34 -9,773085 5,3965672 34 -7.3267)2 6.183106
123
RESPONSES 1 •1 2 3 45
COEF VAR ' .•-.552187 -.8439)3
TOTALCLASS 68 . -8,549899 5*930688 -.693656
MEDIAN ■ ; ... MAX MIN QDtV
-9.442806 3.110620 -22.546788 3,432848-7.466170 : 6.313640 1-21.165617 3,080.395
-8.276565 . 6.313640. . -22.546788 3.682179
104
APPENDIX N
COMPUTER RUN - DOW JONES EARNINGSTHREE "UP" YEARS (B-9)
105
CLASS ' RESPONSES 1 1 22 3 43 . 5
OBSERVED FREQUENCY TABLE •
; PFRF GRP \ TOTAL
1 ' 222 223 23
.TOTAL • 67 32 . 15 20
UNLISTED RESPONSES = 2 :
EXPECTED FREQUENCY TA9LE
PERF GRP . TOTAL
1 22 10. 5 4,9 6.62 . 22 10,5 4.9 6.6.3 - 23 11.0 5.1 6.9
TOTAL 67. .32 . 15 20
CALCULATED CHI SQUARE, = 10.27%DEGREES OF FREEDOM = 4
CLASS V 1 3
CLASS' ...1 2 y: 3
6 ‘ 9 .. • 712 •' 5 5
■14 • 1 8
CLASS MUM .MEAN
1 32 25.47.8 0 622 IF 33.5292383 20 25.321109
TOTALCLASS 67 27.233713
STD DEV COEF VAR
10.661142' .4184449.621354 ■ .2869549.739462 / .384638
V 1 0 . 7 1 2 7 4 7 ' : - . 3 9 3 3 6 3 . •
MEDIAN
23.79501630.03732724.952627
, MAX
62.04192355.31015653.022745
... MIN11.44100419.9408568.676124
. QDEV
4.9568968.1117736.554865
2 5 . 6 1 2 9 5 4 . 6 2 . 0 4 1 9 2 8 8 , 6 7 6 1 2 4 ' ■ 6 . 4 6 0 5 1 1 .
106
• APPENDIX O
COMPUTER RUN - LOW EXPENSE RATIO FOR THE FUNDTHREE "UP" YEARS (0-2)
107
C L A S S12
R E S P ON S E Si 23
ORSEPVEO FREQUENCY TABLE ■CLASS
RERF GRP TOTAL • ' 1 2
1 ' 23 9 ■ .142 23 ' 11 12
' 3 23 3 20• T O T A L . 69 • 23 46UNLISTED RESPONSES = 0
rREOUEMCY TABLECLASS
D ERF GRP TOTAL 1 2
1 23 '' 7.7 15.32 2 3 . 7.7 15.33 23 7.7 15.3
'TOTAL 69 23 • 46
CALCULATED CHI SOUARE = . 6.783 DEGREES OF FREEDOM = 2
CLASS N U M MEAN STD DEV ■ ■ COEF VAR
1 23 30. 740696 11.208816 ’• '• . 3675522 46 . 25.937399 ' 10.256731 ,■ .395444
TOTALCLASS 69 27.538498 10.654300 ■ .394150
MEDIAN.• MAX MIN • QDEV '
%6.496272 62.041928 14.306546 7.53263124.359392 • 55.810156 8.676124 . ■ 6.230091. .
25.664631 62.041928 8.676124 ' 6.440127 -
108
APPENDIX P
. COMPUTER RUN - CONCENTRATING FUNDS IN THE BLUE CHIP STOCKS (C-9)
109
CL ASS12
RE S P ON S E S1 23
OBSERVED FREQUENCY TABLE •' ' CLASS
°ERF GRP TOTAL 1 ' 2
1 23 3 • 202 . -23 . . 7 16
. 3 23 14 9
TOTAL 69 . 24 ‘ 45
UNLISTED RESPONSES = 0
EXPECTED FREQUENCY TABLECLASS
PERF GRP TOTAL ' ' 1 ' . 2
1 23 8.0 . 15 .0,2 23 8.0 15.03 23 ; 8.0 • 15.0
TOTAL 69 24 45
CALCULATED CHI SQUARE = 11.883DEGREES QP FREEDOM = 2
CLASS NUM MEAN = STD DEV ■ f
1 . 2 4 22,427677 9.9086742 45 . 30.264269 , 10.340529'
COEF VAR ''
.441806 '
.*341674'
TOTALCLASS 69 2,7. 533493 10..854300 ' . .394150
MEDIAN MAX ' MIN ■ ' QDEV •
20.107096 62.041928 ' 11.064302 ■ ,4.73009427.204521 55.810156 8.676124 . 6.672611
25.664681 62.041928 8.676124 6.440127
no
APPENDIX Q
COMPUTER RUN - POSITIVE CASH FLOW INTO FUNDFIVE YEARS (C-13)
111
CLASS ' RESPONSES1 1. 2 2 3
OBSERVED FREQUENCY TAKLG ' . ..■ CLASS'P E R F G R P T O T A L '• 1 2
1 23 12 112 23 S I B3 . 23 1» 9
. T O T A L . 69 31 39
U N L I S T E D R E S P O N S E S = 0 .
E X P E C T E D F R E O U E N C T T A t i L E .
■ . C L A S S P E R F G R P T O T A L ' 1 - 2
: i 23 10 . 3 . 12.72 23 1C .3 12.73 23 10.3 12.7
T O T A L , 69 31 38
C A L C U L A T E D C H I SOUA. RE = 7 . 9*9D E G R E E S O F F R E E D O M = 2
C L A S S N U m ME A N S f U D E V
1 31 10.453623 5.4958962 38 12.432736 5.253306
T O T A LC L A S S 69 11.543569 ' 5.453249
MEDIAN ' MAX . - • MIN, . OOEV '.9 . 0 6 2 1 8 7 . ' , . 6 3 . 7 6 7 0 5 7 - 4 . 3 0 3 2 0 0 3 . 2 2 3 0 3 8
1 1 . 9 2 7 1 5 8 2 9 . 3 7 0 9 9 5 3 . 0 0 7 1 4 , 1 1 . 9 0 3 3 3 9
11.265109 ; >9.370995 -4.383200 2.*33771
112
APPENDIX R
'COMPUTER RUN TWO MOST IMPORTANT FACTORS
COMPUTER CODE NO.- SINGULARLY 39
113
R -j - 1C L A S S R E S P O N S E S • • '
■■ i r ' v ■3 . 10 . .. .. %
■t ■■ : ■ !! - '
6 1 2 4 5 6 7 9 n 14 15
OBSERVED FREQUENCY TABLE' " ' CLASS. • • ' ■ .
. PERF GRP T O T A L 1 2 : ) 3 ' " 4 ' 5 '6 .
1 42 9 . 1 . 13 9 5 52 41 4 8 12 5 . 4 b3 46 .7 ' 5 - .. ' 13 - ' 4 . B &
TOTAL . .129 2U 14 38 18 17 22
U N L I S T E D R E S P O N S E S = .9
E X P E C T E D F R E Q U E N C Y T A B L E
C L A S SP E R F G R P . . T O T A L ,1 2 3 . ; 4 . $ .6
1 42 6.5 - 4.6 12.4 S .9 5.5 7.22 41 6.4 4.4 12,1 5.7 5.4 7.63 46 7.1 5.0 13.6 6.4 6.1 7.5
. T O T A L . 129 2'o •. 14 38 ' 1 8 ■ 17
calculated chi square = 12.180D E G R E E S OF F R E E D O M = 10
C L A S S N U M ' M E A N 55T U O E V C O t T V A R1 2 v 1 2 . 6 4 6 5 1 2 7 , 4 6 1 9 6 8 . 5 9 0 0 4 22 H . . 1 U . 1 5 4 0 4 9 4 . 3 0 2 5 5 2 • . . 4 2 3 7 2 83 3 8 1 1 , 5 5 0 5 7 7 4 . 9 6 4 7 8 4 , 4 3 1 3 3 74 l b , 1 3 , 4 3 4 2 5 8 4 , 6 9 3 7 6 0 ' . 3 4 9 2 8 35 1 7 1 0 , 1 1 9 1 5 4 . 4 . 2 2 3 2 1 1 . 4 2 7 2 3 1
• 6 2 2 • 9 . 7 0 4 0 6 7 . 4 . 6 3 5 1 3 2 • ■ . 4 9 * 2 2 7
t o t a lC L A S S 1 2 v 11 . 3 3 , 45 o -02167 .476775
MEDIAN MAX MIN QOEV
1 1 . 9 7 9 6 1 6 / . :?9 . 37,1995 ' - 4 . 3 5 3 2 0 0 4 . H 17491 1 . 3 2 4 6 5 5 2 0 . 4 4 3 5 6 4 3 . 0 0 7 1 4 0 2 . 3 4 0 8 9 6n .059446 9 9 e37, ; q q s 2.655025 2 . 085)571 9 . 7 6 2 2 9 0 2 7 . 1 9 7 3 9 3 . ■ • . 7 . 3 6 3 5 9 9 3 . 0 4 6 2 * 9 .0 . 7 5 7 7 4 9 •. 2 0 . 4 4 3 6 6 4 ' 2 . 4 5 5 * 2 6 , 9 . 4 3 1 1 9 1
l . o . 5 3 4 5 0 ' V ■ 1 6 .74 j S ( ) 5 : - 4 . 7 6 3 2 0 0 3 . ( 5 0 1 4 5
1 1 . n 9 ( A 3 9 2 9 . 3 ( . ' 9 9 6 ' ' \ 2 . 6 3 3 3 ) 4
114
R - .2• CLASS ' RESPONSES
1 3 . ' ... :% . . * . :3 . 104 . 12. " \ .. '' / - -5 13 .6 1 2 4 5 6 7. " 9 11; • 14 15.,
OBSERVED FREQUENCY TABLE. CLASS -
PERF GRP TOTAL : 1,, 2 3 4 5 ■ 6
1 40 8 3 11 8 5 52 43 6 4 14 * 9 4 63 46 6 7 13 i . 3 11
TOTAL • • 129 20 . 14 ,: 38 • 18 ... 17 ■ 22UNLISTED RESPONSES ■= 9
EXPECTED FREQUENCY TAHLFCLASS ■
PERF GRP TOTAL .1 2 3 • 4 : 5. . 6
1 ’ 40 6,2 4,3 11,8 5.6 5, 3 6.82 . 43" 6.7 4.7 12.7 6.0 5.7 7.3 :3 .46.. 7,1' 5.0 13.6 6.4 :.6.1 .7.8
TOTAL 129 20 14 38 18 . 17 22
CALCULATED CHI SQUARE = 12.544DEGREES OF FREEDOM = 10
CLASS NUN ■ MEAN STD DEV COEF VAR. MEDIAN' / MAX MIN QDEV
' 1 2 9 30. "?15879 13.633092 .4464Q3 26.815794 - 62.041928 8.676124 ’ 9,7163882 14 24.085748 .' 10.422559 .432727 ' 22.661370 - 55,810156 ‘ ' ,11.441004 • 4,8422603 38 26.333835 10. 093069 . ,376.132 . ■ 24.627909 . 53.022745 ' • 11.064302 6,8820314 18 • 32.939184 10.673642 .324041 28.037294 62.041928 16.308405 ' 8.1506115 , 17 25.594216 10.114572 .395190 23.306163 55.810156 12.815688 5.8199986 22 22.322745 6.533811 .285036 22.724366 33.861822 8.676124 4.616640
TOTALCLASS 129 • 27.0 96988 10.839460 .400026. 24.893303 62.041928 8.676124 ' 6.463303 115
CLASS ” RESPONSES1 32 8; ii ■■■'5 13 .6 1 2 4 5 6 7 9 U 14 15
OSSERVED FREQUENCY TABLECLASS
PERF. GRP TOTAL 1 2 3 4 . 5
1 4 5 • 6 7 .• 15 ' 3 • 6a 4 0 . 5 4 13 6 53 4 4 9 3 • 10 9 6
t o t a l 129 2 0 14 38 18 . 17
UNLISTED RESPONSES = 9
e x p e c t e d f r e q u e n c y t a b l eCLASS
PERF GRP TOTAL ■ 1 2 3 4 !
1 45 7,0 4,9 13.3 6.3 5.'2 40 6,2 4,3 11,8 5,6 5»:3 44 . 6.8 4.8 13.0 6.1 5,1
TOTAL 129 20 14 38 18 1'
CALCULATED CHI SQUARE = ‘ 6o 851d e g r e e s OF freedom , = 10
CLASS NUN! . MEAN STD DEV COEF VAR '
■ 1 2 :, -9»b88237 6.521416 -.7175672 14 -7,523638 4.992746 6636q 83 38 -7,640588 6.153932 - s8 o 54264 18 -10.337793 ■ 3,873156 -*3746605 17 -9,154528 6,837844 -o 7469366 22 -7,388986 6.362716 ■ -.861108
TOTALCLASS 129 -8,385294 6.059174 -.722595
co h-
3
6
22
67 . 76.8 7.522
MEDIAN MAX
-9.277521 -7.229812 -7,820354 =10.615660 -7,941160 -7.794552
5.2603911.1802356.313640 -3.5501173,1106206.313640
MIN QDtV
-21.145070-18.203179'-22.546788-16,809616-22.546788-21.145070
4.0685073.1384253.58i3363,2854354,621516•4.778852
8.423365 . 6.313640 -22.546788 3.9693u0 116
APPENDIX S
COMPUTER RUN TWO MOST IMPORTANT FACTORS - COMBINATION
SAMPLE FOR 3 rrUPrr YEARS
117
f a c t o r . FACTOR NUMBER MEAN STD DEV COEF VAR
2 0 0,0000 • 0,0000 0,00001 3 ’ ‘ 0 0,0000 0.0000 0,00001 4 0 0,0000 0,0000 . 0.0000
5 . 0 ".. 0,0000 0,0000 0,00006 0 0,0000 0,0000 0,00007 0 0,0000 0,0000 0,00008 , 1 , 19,6492 . 0.0000 0,00009 V • 0 . 0,0000 ■ 0,0000 ■ 0,0000
10 1 23,6396 0,0000 0.000011 0 0,0000 0.0000 0.000012 1 32,3793 0.0000 0,000013 1 30.0873 • 0,0000 0,0000H 0 . 0,.0000 0,0000 0,00.0015 .0 0,0000 0,0000 ■ • 0,0000
' 16 . 0 0,0000 0,0000 0.0000I \ 2 - 3 0 0,000.0 0,0000 0.00002 2 4 0 0.0000 ■ 0.0000 0.0 000r, 2 . , 5 0 0,0000 0.0000 0,0000‘j 2 6 0 0.0000 0.0000 . 0.0000% 2 7 0 0,0000 , 0.0000 . 0.0000
2 6 . 0 - 0,0000 0,0000 0,0000• 2 9 0 d.oooo 0,0000 0.0000
i ' 2 10 . 0 0,0000 0,0000 0,00002 11 0 0,0000 0,0000 0,0000
57 2 12 0 0,0000 0,0000 0,00002 13 . 0 0.0000 d.oooo 0,0000
|j ' 2 14 0 0.0000 0,0000 0,00002 15 o 0,0000 0.0000 0,0000
y • ■ 2 16 0 0,0000 0.0000 0,00 0 03 4 .1 . ,8.6761 0.0000 0.0000
. . . 3 , 5 . ; 0 .' 0.0000 • 0,0000 •, 0.00003 ' 6 0 0,0000 0,0000. 0,00003 7 0 0,0000 . 0.0000 0.0000
• 3 8 1 19,8365 0.0000 . 0.00003 9 . 0 0.0000 0.0000 0,0 000
i . 3 10 8 29,4586 : 14,6067 .4958.... 3 ■ 11 .... 0 0,0000 . 0.0000 0,0000
3 3 12 V . 8 ’ 35,3577 11,9807 .33883 .. 13 1 44,4975 0,0000 0.00003 14 . • 0 0,0000 0,0000 0,0000
M E D I A N MAX M I N Q D E V
0 , 0 0 0 0 0 , 0 0 0 0 0 . 0 0 0 0 0 , 0 0 0 0o . o o o o 0 , 0 0 0 0 • 0 , 0 0 0 0 0 , 0 0 0 06 , 0 0 0 0 0 . 0 0 0 0 • 0 , 0 0 0 0 . 0 , 0 0 0 0o . o o o o 0 , 0 0 0 0 . 0 , 0 0 0 0 1 OoOOOO0 , 0 0 0 0 0 , 0 0 0 0 . 0 , 0 0 0 0 OoQOOO6 , 0 0 0 0 0 , 0 0 0 0 ■ .; 0 , 0 0 0 0 . • 0 , 0 0 0 0
1 9 *6 4 9 2 . .. 1 9 , 6 4 9 2 . 1 9 . 6 4 9 2 , . 0 . 0 0 0 00 , 0 0 0 0 0 , 0 0 0 0 0 . 0 0 0 0 0 . 0 0 0 0
2 3 , 6 3 9 6 2 3 . 6 3 9 6 2 3 . 6 3 9 6 . 0 . 0 0 0 0o . o o o o 0 . 0 0 0 0 0 . 0 0 0 0 0 . 0 0 0 0
3 2 . 3 7 9 3 3 2 . 3 7 9 3 3 2 , 3 7 9 3 O . n O O O3 0 . 0 8 7 3 3 0 . 0 8 7 3 • 3 0 , 0 8 7 3 0 . 0 0 0 0
0 , 0 0 0 0 0 . 0 0 0 0 0 . 0 0 0 0 0 , 0 0 0 06 , 0 0 0 0 0 , 0 0 0 0 0 . 0 0 0 0 o . o o o oo . o o o o ■ • 0 , 0 0 0 0 0 . 0 0 0 0 0 . 0 0 0 00 , 0 000 . 0 , 0 0 0 0 0 . 0 0 0 0 0 , 0 0 0 06 , 0 0 0 0 0 , 0 0 0 0 0 , 0 0 0 0 . . o . o o o oo . o o o o 0 , 0 0 0 0 0 , 0 0 0 0 0 . 0 0 0 06 , 0 0 0 0 0 . 0 0 0 0 0 . 0 0 0 0 \ 0 . 0 0 0 00 , 0 0 0 0 0 . 0 0 0 0 ■ 0 . 0 0 0 0 0 , 0 0 0 0d . o o o o 0 , 0 0 0 0 0 , 0 0 0 0 : o . o o o o0 , 0 0 0 0 . 0 . 0 0 0 0 0 , 0 0 0 0 . 0 . 0 0 0 0
. o . o o q o . o . o o o o 0 , 0 0 0 0 ■ 0 , 0 0 0 0o . o o o o o . o o o o 0 . 0 0 0 0 ■ 0 , 0 0 0 06 , 0 0 0 0 0 . 0 000 0 , 0 0 0 0 o . o o o oo . o o o o 0 . 0 0 0 0 0 , 0 0 0 0 o . o o c oo . o o o o 0 . 0 0 0 0 0 . 0 0 0 0 O . n O O Oo . o o o o 0 . 0 0 0 0 0 . 0 0 0 0 0 , 0 0 0 00 . 0 0 0 0 0 . 0 0 0 0 0 . 0 0 0 0 0 . 0 0 0 08 . 6 7 6 1 8 . 6 7 6 1 . 8 . 6 7 6 1 O . n O O Oo . o o o o , 6 » o o o o • 0 , 0 0 0 0 .. o . o o o o
1 o . o o o o : 0 . 0 0 0 0 ■ 0 , 0 0 0 0 0 . 0 0 0 0o . o o o o 0 . 0 0 00 0 , 0 0 0 0 0 . 0 0 0 0
1 9 , 8 3 6 5 1 9 , 8 3 6 5 1 9 , 8 3 6 5 . .. 0 . 0 0 0 06 , 0 0 0 0 0 . 0 0 0 0 0 . 0 0 0 0 0 , 0 0 0 0
22.8977 5 3 , 0 2 2 7 1 1 . 0 6 4 3 1 4 , 3 8 4 60 , 0 0 0 0 0 . 0 0 0 0 0 , 0 0 0 0 0 , 0 0 0 0
3 0 . 1 1 3 2 6 2 , 0 4 1 9 2 4 . 8 9 3 3 8 , 6 9 1 04 4 , 4 9 7 5 4 4 , 4 9 7 5 4 4 , 4 9 7 5 8 , 6 9 1 0
6 , 0 0 0 0 6 . 0 0 0 0 . 0 , 0 0 0 0 0 , 0 0 0 0
118
. FACTOR ‘ FACTOR NUMBER MEAN STD DEV
3 15 0 "0,0000 . 0,00003 16 ; 1 • 32,7589 • 0,00004 5" 0 '0,0000 .. 0,00004 6 O' - 0,0000 0,0000
• 4 7 : . 0 0,0000 ' .. 0,00004 8 . 2 25,5868 . 3,9690
, 4 9 0 0,0000 . • 0,00004 10 . 3 • 20,9128 3,85384 11 0 0,0000 0,00004 12 2 24,5578 1,70794 ■ 13 2 17,7073 - 4,89164 14 • 0 0,0 00 0 0,0000
, 4 15 • 0 0,0000 0,00004 16 0 0,0000 0,0000
s 5 6 . o 0,0000 0,0000I . 5 7 0 0,000 0 ■ 0,00001 5 8 ■ 0 0,0000 0,0000
S • 9 0 0,0 00 0 0,00005 . 10 1 . 23,8851 0,0000
: . 5 •. 11 0 0,0000 . 0,0 000g • 5 12 . r: o 0,0000 ' 0,0000
5 13 : 0 0,0000 0,00005 14 0 0,0000 0,0000
5 .• 5 15 0 0,0000 . 0,0000P ' ■ 5 16 . 0 0,0000. . 0,0000!.| 6 ' 7 1 33,8618 0,0000
6 8 o . 0,0000 ■ 0,0000ii 6 9 0 0,0000 OoOOOOu 6 ‘ 10 0 0,00 0 0 .0,0000
6 11 0 0,0000 0,00005? 6 12. 0 0,0000 0,00005 6 13 - V 0 0,0000 0,0000e . 14 . 0 0,0000 .0,00006 15 0 0,0000 0,0000
E 6 16 ■ 0 0,0000 0,00007 8 1 14,6347 0,00007 9 . 0 0,0000 . 0,00007 10 1 27,1316 0,00007 11 0 0,0000 0,0000
; 7 12 . 0 •0,0000 0,00007 ;• is Z • o 0,0000 ■ 0,0000
COEF VAR
0 , 0 0 0 0 OoOOOO 0 , 0 0 0 0 0 , 0 0 0 0 0,0000 .1551
0,0000 ,1843
0 , 0 0 0 0 ,0695 ,2762
0 , 0 0 0 0 0 , 0 0 0 0 0 , 0 0 0 0 0,0000
. 0,0000 0,0000 0 , 0 0 0 0 0 , 0 0 0 0 0 , 0 0 0 0 0,0000 0 , 0 0 0 0 0,0000 0,0000 0,0000 0,0000
• 0,0000 0,0000 0,0000 0,0000 0 , 0 0 0 0 0 , 0 0 0 0
• 0 , 0 0 0 0 0 , 0 0 0 0 0,0000 0,0000 0,0000 0,0000 0,0000 0,0000 OoOOOO
M E D I A N • m a x M I N q d e v
0 , 0 0 0 0 6 , 0 0 0 0 0 , 0 0 0 0 O o O O O O •32,7589 ■ 32,7589 32,7589 o , 6 o o o
0 , 0 0 0 0 ■ 0 , 0 0 0 0 0 , 0 0 0 0 / 0 , 6 0 0 00 , 0 0 0 0 . 0 , 0 0 0 0 0 , 0 0 0 0 0 . 6 0 0 0• O o O O O O 0 , 0 0 0 0 0 . 0 0 0 0 0 , 6 0 0 025,5868 29,5558 21.6178 0 , 6 0 0 0O o O O O O . 0 , 0 0 0 0 ■ 0 . 0 0 0 0 0 , 6 0 0 0
18,5716 26.3456 17,8212 0 . 6 0 . 0 06 , 0 0 0 0 0 , 0 0 0 0 0 , 0 0 0 0 , 0 , 0 0 0 0
24,5578 26.2657 22,8499 O o O O O O17,7073 22,5989 • 12.8157 . O o O O O O
6 , 0 0 0 0 0 . 0 0 0 0 ■ 0 , 0 0 0 0 0 , 0 0 0 06 , 0 0 0 0 0 . 0 0 0 0 0 . 0 0 0 0 0 , 6 0 0 00 , 0 0 0 0 0 . 0 0 0 0 0 , 0 0 0 0 • O o O O O O0 , 0 0 0 0 0 . 0 0 0 0 0 , 0 0 0 0 0 , 0 0 0 06 , 0 0 0 0 0 . 0 0 0 0 0 . 0 0 0 0 0 , 6 0 0 00 , 0 0 0 0 0 , 0 0 0 0 0 . 0 0 0 0 0 . 0 0 0 0
. 6 , . o o o o 0 . 0 0 0 0 0 , 0 0 0 0 o . n o o o23,8851 . 23.8951 23.8851 O o O O O O
0 , 0 0 0 0 0 , 0 0 0 0 0 , 0 0 0 0 0 . 6 0 0 00 , 0 0 0 0 0 . 0 0 0 0 0 , 0 0 0 0 0 . 6 0 0 00 , 0 0 0 0 0 . 0 0 0 0 0 , 0 0 0 0 , 0 , 0 0 0 00 , 0 0 0 0 0 . 0 0 0 0 0 , 0 0 0 0 OoOOOO0 , 0 0 0 0 0 . 0 0 0 0 0 , 0 0 0 0 0 . 6 0 0 06 , 0 6 0 0 0 . 0 0 0 0 0 . 0 0 0 0 0 . 6 0 0 0
33,8618 33.8618 33.8618 0 , 0 0 0 00 , 0 0 0 0 0 , 0 0 0 0 0 , 0 0 0 0 OoOOOO.0 , 0 0 0 0 0 . 0 0 0 0 0 . 0 0 0 0 O.nOOO6 , 0 6 0 0 0 . 0 0 0 0 0 , 0 0 0 0 0 , 6 0 0 06 , 0 6 0 0 0 . 0 0 0 0 0 . 0 0 0 0 * , 0 . 6 0 0 0 •0 , 0 0 0 0 0 . 0 0 0 0 . . . 0 , 0 0 0 0 0 . 6 0 0 00 , 0 0 0 0 0 . 0 0 0 0 ■ 6 , 0 0 0 0 o . n o o o0 , 0 0 0 0 0 . 0 0 0 0 0 , 0 0 0 0 .. 0 , 6 0 0 00 , 0 0 0 0 ' 0 , 0 0 0 0 0 . 0 0 0 0 . o . n o o o0 , 0 0 0 0 0 . 0 0 0 0 0 . 0 0 0 0 0 , 6 0 0 0
14,6347 14,6347 14,6347 o . n o o o0 , 0 0 0 0 0 , 0 0 0 0 0 . 0 0 0 0 0 , 0 0 0 0
27,1316 27,1316 27.1316 o . n o o og , o o o o 0 . 0 0 0 0 0 . 0 0 0 0 0 , 6 0 0 00 , 0 0 0 0 0 . 0 0 0 0 0 , 0 0 0 0 • 0 , 6 0 0 0 ■0 , 0 0 0 0 0 , 0 0 0 0 0 . 0 0 0 0 OoOOOO
119
f a c t o r FACTOR NUMBER MEAN STD DEV COEF VAR7 H 0 0,0000 ; 0,0000. 0,00007 15 0 0.0000 • • 0,0000 0,00007. 16 ' o 0,0000 . 0,0000 0,00008 9 0 0,0000 0.0000 0,0000S 10 7 21,7702 6,6936 ,30758 11 0 0.0000 0,0000 0.00008 12 .. . 0 0,0000 0.0000 0.0000a 13 ■ 2 39.7576 16,0526 ,40388 14 0 0.0000 0,0000 0.00008 15 0 . 0,0000 0,0000 0,0 00 08 16 - o. 0.0000 0.0000 0,00009 10 1 23,7050 0.0000 0.00009 11 0 0.0000 • 0,0000 0.00009 12 . 0 0.0000 0,0000 0.0000
. 9. 13 2 20.1071 .1662 .00839 14 0 0,0000 0,0000 0,00009 15 • 0 0.0000 0,0000 0,0000
. 9 . 16 . 0 0,0000 0,0000 0,0000lo . 11 0 , 0,0000 0.0000 0.0000
• 10 12 ■" 6 35.3735 8,1323 ,229910 13 • 8 25,8807 7.7633 .300010 14 • 0 • 0.0000 . 0,0000 0.0 00010 15 0 0,0000 0,0000 0.000010 . 16 . 2 28,5535. 4,2804 .1499U ' 12 o ; 0,0000 , 0,0000 0.000011 • . 13 " 0 0.0000 ' 0.0000 0,000011 : 14 o 0,00 0 0 .0.0000 0,000011 15 o 0,0000 0,0000 0,000011 16 . 0 0,0000 O.OOOO 0.000 0
• 12 13 i 24,2731 0.0000 0.000012 . 14 . 0 0,0000 0.0000 . . 0,000012 15 0 0,0000 0,0000 0,000012 . 16 ; , .0 • 0.000 0 0,0000 0,000013 14 ' - o 0.0000 ' 0,0000 0 .0 0 0 013 15 • ' 0 0.0000 0,0000 0,000013 16 0 0.0000 0,0000 ■ 0,000014 15 0 . 0.00 00 o.oooo . 0,000014 16 0 0,0000 0.0000 0.000015 16 . , 0 0,0000 • 0,0000 0,0000
MEDIAN
0 * 0 0 0 0O o O O O O0 , 0 0 0 00 , 0 0 0 0
24,04066,00006 . 0 0 0 0
39,75760,0000
, 0 , 0 0 0 06 . 0 0 0 0
23,70500 , 0 0 0 06 . 0 0 0 0
26,1071 0 , 0 0 0 0 0 , 0 0 0 0 0,0000 0,0 00 0
34,9357 25,89586.0000 0,0000
28,5535 0,0000 0 , 0 0 0 0 6,0 0 00 0 , 0 0 0 0 6 , 0 6 0 0
24.27316,ooooO o O O O OO o O O O Oo.oooo 0,0000 0.0000 0,0000 0,0000
. o.oooo
MAX• 0,0000 ■ 0.0000 0,00 0 0 o.oooo
32,6947 0 , 0 0 0 0 0 , 0 0 0 0
' 55.8102 0,0000 0,0000 0,000 0
23,7050 0,0000' 0,0000
20,2733 0.00 0 0 0.0000 0.0000 0.0000
44,7808 38.4049 0.0000 0.0000
3.2,8340 0.0000 0.0000 0.0000 1 0.0000 0.0000
24.2731 0.0000 0,00 00 o.oooo 0 . 0 0 0 0 o.oooo 0.0000 0.0000 0.0000 0.00 0 0
MIN0,0000 0.0000 0,0000 0,0000
i1.4410 0,0000 0.0000
23.7050 0,0000 0.0000 0.000023.7050 1 0.00000.0000 19.9409 0.0000 0.0000 - 0.0000 0.0000
26.4963 14,3085 . 0.0000 0.0000
24.2731 0.0000 0.000 0 .0.0000 0,0000 0,0000
24.2731 0.0000 0,0000 0.0000 0.0000 0.0000 0.0000 0,0000 0.0000 0.0 0 00
QDEV
O o O O O O 0.0000 0 , 0 0 0 0 0,0000 5,6049 0 , 0 0 0 0 0,0000 0.6000 0,0000 o,6 o o o 0 , 0 0 0 0 0,0000 O.OOOOo.nooo0.0000O . O O O OO.nOOOO o O O O O0 , 0 0 0 08.38626,93150 , 0 0 0 0o.ooooO o O O O O0.O0000.00000,0000o.nooo0,00000.00000,6000O.nOOO0.60000.00000.0000o.noooo.noooo.nooo0.0000
APPENDIX T
COMPUTER RUN - PERCENT NEW CASHTHREE "UPre YEARS
COMPUTER CODE NO. 52
121
CLASS123
RESPONSES123
OBSERVED FREQUENCY TABLECLASS'
PERF GRP TOTAL i 2 3
1 • 23 . "3 ■-■'s'. • ■' 122 23 . -4 14 • 53 . 23 ... . 9 7 7
TOTAL - • . • 16 29 24UNLISTED RESPONSES = .0
FREQUENCY TABLECLASS
•PERF GRP. TOTAL ' 1 2 • 3
1 ' 23 . 5.3 9.7 8.02 . 23-. 5.3 9.7 8.03 23 5.3. 9.7 8.0
TOTAL; 69 16 29 24
CALCULATED CHI SQUARE = 10.091DEGREES Oc FREEDOM = 4
CLASS NUM MEAN STD DEV
1 ■ 162 293 24
23.112349 26.724595 31.472730
11,107223 7.269937
12.777,9 4 5
COEF VAR •
. 4.90575 • .272025. 405<)97
t o t a l 'CLASS 69 27 ..533498 . 10.854300 • .394150
MEDIAN ■
21.73802926.34565030.432348
2 5 . 6 6 4 6 3 1
MAX
55.81015648.36599962.041928
6 2 . 0 4 1 9 2 3 ,
M I N . -
8.67612411.441004
CDEV
3.929609 3..107307
12.815683 10.582347
6 . 6 7 6 1 2 4 6 . 4 4 0 1 2 7
122
APPENDIX U
COMPUTER RU N— DATE SHARES OFFEREDTHREE "UP" YEARS
COMPUTER CODE NO. 6
123
CLASS . ' RESPONSES1 • 12 23 • 3
OBSERVED FREQUENCY TABLE
PERF GRP TOTAL
1 ' ' 232 . 233 23
TOTAL ■ 60
UNLISTED RESPONSES
EXPECTED FREQUENCY TABLE
PERF GRP TOTAL
1 232 23 .' 3 2?
; ' TOTAL ’ - 69CALCULATED CHI SQUARE = 10,DEGREES O F FREEDOM * = .. . 4
CLASS NUM MEAN
1 . . 17 27,3886302 36 30.2801553 16 21.529110
TOTALCLASS 69 27,538493 •
CLASS .1 2 36 16, . .1 ' .4 13 6 • •• •••’7 7 9
17 36' 16 ' .0 '
• CLASS1. 2 3
' 5,7 12.0 5.3‘ 5.7 ' 12.0 5.3 '5.7 12.0 ’• 5.3
17 36 16
STD DEV COEF VAR '
11.408646 •/ .41654811.344097 , .3746385.214434 •.242204
1 0 . 8 5 4 3 0 0 . • . 3 9 4 1 5 0
MEDIAN MAX MIN QDEV26.51616027.80650522,108311
49.38759062.04192833,021782
12.81563311,0643028.676124
9.533167 4.623835 3, 1.6 0 8 51
2 5 . 6 6 4 6 8 1 6 2 . 0 4 1 9 2 8 8 , 6 7 6 1 2 4 6 . 4 4 0 1 2 7
APPENDIX V
COMPUTER RUN - LOAD VERSUS NO-LOAD FUNDSFIVE YEARS
COMPUTER CODE NO. 7
125
CLASS ‘ RESPONSES1 i2 2OBSERVED FREQUENCY. TABLE-
• C L A S SPERF GRP TOTAL ' - 1. 2' 1 23 19 - ; 4 •
2 23 20 33 - 23 13 10
TOTAL 69 52 17
UNLISTED RESPONSES - 0EXPECTED FREQUENCY TABLE
CLASSPERF GRP TOTAL - 1 2
1 23 17.3 5.72 23 17.3 5.73 23 17.3 5,7
TOTAL 59 52. 17
CALCULATED CHI SQUARE = 6.713DEGREES OF FREEDOM 2 .
CLASS N'JM ‘ MEAN STD DEV' COEF
1 52 . ,26.727032 10.827559. ' .. 2 17 23.900229 ' 10. 1-00733 %
TOTALCLASS 69 27.538493 10.854300
VAR
376900422621
394150
MEDIAN MAX MIN - QDEV
26.507371 62.041928 • 8.676124 4.95453519.940856 \ 48.365999 11.441004 . 6, 346630.
2 5 . 6 6 4 6 3 1 6 2 . 0 4 1 9 2 8 8 . 6 7 6 1 2 4 6 . 4 4 0 1 2 7
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