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Performance Evaluation of the Myers
Group Real Estate Properties 1978-1986
by Harry V. Roberts Graduate
School of Business, University of Chicago 10
July 1986 |
Part
I. Summary of analysis of 26 pre-development land properties purchased and resold by The Myers Group between January, 1978 and April, 1986, for an aggregate purchase price of $29.3 million.
1. If
each property is equally weighted:
The mean return per property,
continuously compounded, is 60.2
percent per year. (The corresponding
number for discrete compounding
is 82.6 percent.)
After allowance for length
of holding period, there is no tendency for returns on properties
to differ by purchase price or by time of purchase within
the period studied. Returns tend to be higher for shorter
holding periods. A summary statistical report for these conclusions
follows:
Continuous Monthly Rates
of Return for Sold Properties |
|
Fitted Monthly Return =
0.00437 + 0.796 1/H |
| |
| |
Sold |
|
N |
26 |
|
MEAN |
0.0502 |
|
MEDIAN |
0.0440 |
|
STDEV |
0.0506 |
|
SEMEAN |
0.0099 |
|
MAX |
0.2811 |
|
MIN |
0.0130 |
|
Q3 |
0.0535 |
|
Q1 |
0.0228 |
(STDEV
is the standard deviation; SEMEAN is the standard
error of the mean, assuming random sampling;
MAX is the maximum value; MIN is the minimum
value; Q3 is the third quartile; Q1 is the
first quartile.)
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|
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The preferred regression
model containing only one independent variable, 1/H,
which is the
reciprocal of the holding period H:
Column |
Coefficient |
Standard Dev. of Coefficient |
T-Ratio:
CoEff./S.D. |
|
0.004373 |
0.003140 |
1.39 |
1/H |
0.79562 |
0.03752 |
21.21 |
|
|
S=0.01162 |
R-Squared
= 94.9 Percent |
R-Squared
= 94.7 Percent, Adjusted for D.F. |
DURBIN-WATSON
STATISTIC = 1.90 |
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2.
The Myers performance does not appear to have been a "fluke".
In analyzing this performance
record, one must ask if the 26 transactions are in some
sense statistically dependent. Instead of 26 independent
pieces of evidence, we are effectively seeing only the
reflection of one or a small number of "lucky breaks".
As an example of the
latter, suppose — contrary
to fact — that the 26 properties had been nearly contiguous
in a single, small geographic area, acquired at about the
same time, and later sold at about the same time. Then, instead
of 26 independent pieces of evidence, it would have essentially
been one and there would be little assurance that this performance
could be repeated in the future in the same or other areas.
The statistical analyses and detailed examination
of the data suggest that the number of independent pieces
of evidence is much closer to 26 than one.
A. The time-series
modeling of the 26 properties suggests that the "residuals" from
the regression equation shown in Part II can be regarded
as nearly independent and normal through time.
B. Although in a few instances, properties
were in the same metropolitan areas, geographic dispersion
is substantial, within and between areas.
C. The performance shows no evidence of relationship
to the broad economic changes that occurred from 1978 to
1986.
3. A likely consequence of
Finding 2 is that, in addition to a high mean return and
appreciation, The Myers Group offered diversification across
the individual land investments.
It is unlikely that any
temporally parallel set of 26 investments in stocks or other
financial assets would show appreciation or returns that
are substantially correlated with those of The Myers Group.
Although
a systematic check of this conjecture has not been made,
the fact that the residuals from the analysis of the Myers'
properties appear to behave randomly through time makes
it seem unlikely that a series of "coincident indicators" could
be constructed from data on other financial instruments.
Even if the conjecture were
not completely correct, the extraordinarily high mean appreciation
and return of the Myers' properties make interest in this
aspect of the investment decision virtually academic.
This assured riskiness of any
portfolio that includes both the Myers' properties and other
more mundane investments turns not on formal portfolio computations
of the usual kind, but on one's evaluation of the evidence
about Myers' performance.
Even if the correlation between Myers' and
other investments were close to +1 or -1, the expected return
from the Myers' component of the portfolio would be much
larger than the expected return from the other components.
If the Myers' investment were a substantial fraction of the
portfolio, its performance would dominate the overall performance.
4. The Myers Group investments
have significantly and substantially outperformed bonds,
stocks, and other financial instruments.
The performance measures summarized make detailed
comparisons unnecessary. For example, the mean annual return
on the Myers' properties is 82.6 percent, discrete compounding.
The largest annual return on stocks for any year since 1926
was 54.0 percent (in 1933). Again, stock returns were negative
in nearly one-third of the years: not only are there no negatives
in the 26 Myers' properties, but the smallest return was
16.9 percent. The latter is substantially larger than the
mean annual stock return since 1926, which is just under
10 percent. |
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Part II
Summary of analysis of 187 pre-development land programs purchased by The Myers Group between January, 1978 and April, 1986 (unsold as of July 6, 1986).*
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In
order to investigate the return on investment relative to
sold properties, two studies have been conducted:
a.
A group of 32 randomly selected unsold properties
were analyzed using current estimates of value. The results
of this study were broadly similar to the results discussed
for the sold properties.
b.
In order to conduct an assessment of performance that
did not depend on estimates of value furnished by The Myers
Group, ten randomly selected unsold properties were used.
MAI appraisals were conducted, using conservative R41B
guidelines. Since these appraisals are expensive, it was
deemed that a sample size of 10 was a reasonable compromise
between the cost of sampling and the need for accuracy. The
accuracy attained is sufficient to support the conclusion.
*[NOTE: Since this study was done, 34 additional
property resale transactions have been completed as of
January 1, 1989.]
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Conclusion
The unsold properties in the Myers' portfolio
have performed in a fashion similar to the sold properties:
If each property in the MAI appraisal group
is equally weighted, the mean return per property, continuously
compounded, is 91.1 percent per
year. (The corresponding number for discrete compounding
is 148.6 percent.) This corresponds to 60.2 percent and
82.6 percent respectively for the sold properties.
The unsold properties offer the same diversification,
as did the sold properties.
A summary statistical report for these conclusions
follows.
| Continuous Monthly Rates of Return: |
|
Sold Properties and Random
Sample
of Unsold Properties:
|
|
Fitted Monthly Return = -0.0044 + 1.34 1/H
|
Column |
Coefficient |
Standard Dev. = of Coefficient
|
T-Ratio
= CoEff./S.D. |
|
0.00440 |
0.02377 |
-0.19 |
1/H |
1.3391 |
0.3331 |
4.02 |
|
|
S
= 0.04071 |
R-Squared
= 66.9 Percent |
R-Squared
= 62.7 Percent, Adjusted for D.F. |
DURBIN-WATSON
STATISTIC = 1.94 |
|
|
|
MYERS’ EST. |
Appraisal |
N |
10 |
10 |
MEAN |
|
4146 |
3461 |
MEDIAN |
|
3963 |
3899 |
STDEV |
|
3288 |
2220 |
MAX |
|
11227 |
7364 |
MIN |
|
305 |
305 |
Q3 |
|
5795 |
5052 |
Q1 |
|
1380 |
1230 |
|
The final support to the conclusion of high returns
on unsold properties is based on the study of 32 unsold
properties using the estimates of market value furnished
by The Myers Group. |
|
It is noted that the appraisals tend to be only slightly
lower. The correlation between the Myers' estimate and
the appraisals for the ten properties is 0.951. |
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The following table summarizes
the data collected for this analysis.
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The Myers Group Property Acquisition
Random Sample
|
Acquisition
Date
|
Property Location
| Purchase Price
|
R41B Appraisal
| MYERS' Estimate
|
1981 |
December |
Tucson,
AZ |
$268,984 |
$720,000 |
$898,425 |
July |
Bellingham,
WA |
$136,500 |
$305,000 |
$304,920 |
December |
Tucson,
AZ |
$1,534,600 |
$3,990,000 |
$5,216,963 |
1983 |
December |
Salt
Lake City, UT |
$1,197,000 |
$2,660,000 |
$2,613,600 |
1984 |
July |
Lancaster,
TX |
$2,646,000 |
$5,400,000 |
$7,527,168 |
November |
Atlanta,
GA |
$3,100,000 |
$7,364,000 |
$11,227,154 |
1985 |
March |
Livermore,
CA |
$286,000 |
$3,800,000 |
$3,798,432 |
May |
Sacramento,
CA |
$1,203,619 |
$4,900,000 |
$4,210,510 |
May |
Roseville,
CA |
$1,084,894 |
$4,120,000 |
$4,127,092 |
September |
Atlanta,
GA |
$449,800 |
$1,400,000 |
$1,540,282 |
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HARRY V. ROBERTS
Harry Roberts is a professor of statistics, Graduate School of Business, University of Chicago. Professor Roberts received his MBA with honors from the University of Chicago in 1955. He has been an editor of the following statistical journals: Journal of the American Statistical Association, American Statistician, and Journal of Marketing. Also, Professor Roberts has been a consultant on the application of statistics to research, business, military, education, medical and legal problems. He has been active and served on many committees for the American Statistical Association. Dr. Roberts is the author or coauthor of 14 books and over 60 articles. Additionally, Dr. Roberts has been an expert witness in various legal cases regarding statistics throughout the United States. His consulting assignments have included: Harris Trust & Savings Bank, U.S. Department of Commerce, Montgomery Ward, American Meteorological Society, and the United States Bureau of the Census. |
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