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The
following paragraphs summarize the methodology used by Valuation Technologies
to determine the investment styles of investment managers and mutual funds.
It is important to keep in mind we are only examining the equity portion
of the portfolio. A manager may describe the fund as "Income",
where the income portion of the portfolio is obtained from fixed income
investments and the equity portion of the portfolio is made up of well-established
long-term growth companies like Intel and McDonald's.
Also,
we determine equity style by direct examination of the holdings of the
portfolio rather than inferring style from performance measurement or
relying on the manager's literature or statements during interviews.
The
styles we will provide are a combination of value and size. Value and
size are each viewed as a continuum. Our descriptions are "value",
"value/growth", "growth" and "aggressive growth".
Size is described as "large", "medium" or "small".
The descriptions are defined quantitatively based on the average numerical
rank of the companies in the portfolio. That process is defined below.
The
Growth - Value Continuum
Academics
have pretty much settled on book-to-price ratio as the most consistent
measure of value. Companies with a high book-to -price ratio are considered
value and companies with a low book-to-price ratio are considered growth
companies. In addition, companies in the lowest 25 percent of book-to-price
are to be considered super-growth companies and account for much of the
market performance difference between growth and value indices.
Book-to-Price
Ratio
Typical
book-to-price ratio over the past five years. It is calculated as the
average book value per share divided by the average year-end closing price.
This is a good measure of fundamental value, although accounting events
such as write-offs for FASB 106 can make book value somewhat erratic.
For this reason we add Growth Factor(see below) to the calculation to
determine where we use a most recent rolling 12 months-end for price.
Book value is updated quarterly.
Growth
Factor (Risk Model Factor)
Consists
of up to 13 measures of historical and projected growth. These include
historical growth in earnings and assets as well as measures of dividend
policy used to help forecast growth.
The
Large - Small Continuum
Size
(Risk Model Factor)
Includes
market capitalization as well as total assets of the underlying firm.
We include the total assets to account for companies such as Netscape
Communications. Few institutions consider Netscape a large company, yet
if we calculated market capitalization alone, the presence of companies
like Netscape in the portfolio could give the misleading impression that
the institution invests in large companies.
The
Methodology
Company
Model Scores
The
first step in analysis of manager style is the examination of the stocks
themselves. Our database, updated monthly, contains both types of models
and related forecast returns for each of over 7000 stocks and ADR's.
For
each variable, such as book-to-price, after the ratios are calculated,
the companies are divided into groups based on their ratios. For example,
if we were grouping in percentiles, the universe of companies would be
divided into 100 groups based on their ratios. After the stocks are divided
into groups, each group is assigned a score ranked from high to low. The
top group receives the highest score and the bottom group receives the
lowest score.
Standardizing
Scores
To
better compare stocks across variables or over time, we then standardize
the scores. Standardizing preserves the order of the scores, but rescales
the distribution so it has a set mean and standard deviation. In effect,
it puts the results of the several variables all on the same scale.
It
is most common to standardize variables to have an average of zero and
a standard deviation of one. By standardizing a variable this way, you
can immediately determine a stock's relative position above or below the
universe average, without looking at any other numbers. A stock with a
score of 1.5 is a stock that scores 1.5 standard deviations above average
with respect to that variable. Any stock whose score is negative is below
average.
Truncating
In
our analysis, it is useful to truncate the distribution of company scores
to exclude any extreme values that may have resulted from data anomalies.
Since many of our analytical techniques are based on a variable's squared
value, extreme values can affect results drastically. Generally, we truncate
the distribution of company scores to an outer limit of three standard
deviations from the mean. This results in company scores between 3 and
-3, with zero representing the mean.
More
technically, winsorization is the technique we use to truncate distributions.
It is a repeating, circular procedure where outlying values are pulled
in towards the center of the distribution. This lowers the standard deviations
set in our original standardization. Re-standardizing to force the mean
and standard deviation back to zero forces some results beyond the 3,
-3 limits, so we repeat the process. This brings the outlying extremes
closer and closer to 3, -3 with each repeated calculation.
To
avoid unnecessarily long calculations, we allow the final distribution
to have a few scores slightly outside the three standard deviation limit.
This is why a few ratios will have company scores that may lie between
3 and 3.2 or between -3 and -3.2.
We
now have company scores for each of the variables mentioned earlier which
determine "value-growth" and "size". The scores represent
the relative position of that company regarding its "value-growth
position" and "size".
Portfolio
Analysis
Our
method of portfolio analysis is based on an examination of the equity
holdings as reported in the managerÌs quarterly filings with the
SEC and/or the quarterly reports of public mutual funds.
First,
we determine three components of the portfolio; the current holdings,
stocks which were net purchases during the previous quarter and stocks
which were net sales. Beginning with the institution's net purchases,
for each variable we determine the highest and lowest company scores,
as well as the capitalization weighted mean and standard deviation of
company scores. This statistical analysis is repeated for the current
portfolio holdings and for the net sales. The result is a statistical
picture of the portfolio activity as it relates to "value-growth"
and "size".
If
the mean score of an institutionÌs portfolio holdings is greater
than 0.5, the portfolio is labeled Value. A score between +0.5 and -0.5
inclusive is Value/Growth. Between -0.5 and -1.0 inclusive indicates Growth.
Less than -1.0 is Aggressive Growth.
For
example, for investor ABC we can determine that the high and low scores
in "value-growth" are -0.5 and -2.8 respectively, and the mean
score is -2.1. These scores are in the lowest 25 percent of all "value-growth"scores
and therefore represent an "aggressive growth" average equity
portfolio style.
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