| Disclosure for Backtested
Performance Information on the Simulated Strategies
of Index Portfolios:
1.
Index Funds Advisors, Inc. (IFA) was incorporated
in March 1999 and placed its first independent client
investments in early 2000. The performance information
presented in the chart or table represents backtested
performance based on combined simulated index data
and live (or actual) mutual fund results from Jan
1, 1927 to period ending date shown using the strategy
of buying, holding and annual rebalancing globally
diversified portfolios of index funds.
Backtested
performance is hypothetical (it does not reflect trading
in actual accounts) and is provided for informational
purposes to indicate historical performance had the
index portfolios been available over the relevant
period. IFA did not offer the index portfolios until
November 1999.
Prior
to 1999, IFA did not manage client assets. The IFA
indexing investment strategy is based on the principles
of the Modern Portfolio Theory and the Fama and French
Three Factor Model for Equities and Two Factor Model
for Fixed Income. Index portfolios are designed to
provide substantial global diversification (approximately
15,000 companies in 35 countries) in order to reduce
investment concentration and the resulting increased
risk caused by the volatility of individual companies,
indexes, or asset classes. Client portfolios are monitored
and rebalanced, taking into consideration risk exposure
consistency, transaction costs, and tax ramifications
to maintain target asset allocations as shown in the
twenty index portfolios.
2.
A review of the IFA Index Data Sources and IFA Indexes
Time Series Construction is an integral part of and
should be read in conjunction with this explanation
of backtested performance information. For detailed
descriptions and definitions of the underlying criteria
and data used to construct backtested performance,
see these two links: Data Sources and IFA Indexes
Time Series Construction. Simulated index data is
based on the performance of indexes as described in
the Data Sources page. The index mutual funds used
in IFA’s twenty index portfolios are IFA's best estimate
of a mutual fund that will come closest to the index
data provided in the simulated indexes. Simulated
index data is used for the period prior to the inception
of the relevant live mutual fund data an equivalent
mutual fund expense ratio is deducted from both live
and simulated data. Live (or actual) mutual fund performance
is used after the inception of each mutual fund.
The
IFA Indexes Times Series Construction goes back to
Jan. 1927 and consistently reflects a tilt towards
small and value equities over time, with an increasing
diversification to international markets and the real
estate index as data became available. In Jan. 1927,
there are 5 equities indexes and 2 bond indexes, in
Feb. 1955 there are a total of 10 indexes, and there
are 15 indexes in March 1998 to present. If the original
5 equity indexes from 1927 are held constant until
July 2005, the annualized rate of return is 11.23%,
after the deduction of a 0.9% IFA advisor fee and
a standard deviation of 25.59%. The evolving IFA Indexes
over the same period have a 12.02% annualized return
after the same IFA fees and a 25.18% standard deviation.
It is IFA's advice that the value of having a longer
time series exceeds the concerns of index substitutions
over the 1927 to present period. Due to the very high
standard deviations of returns (25%) a 60 year or
more sample size of data is recommended to reduce
the standard error of the mean. In other words, in
IFA's opinion, smaller sample sizes introduce larger
errors than the errors introduced by stitching together
indexes over time. This is the advice IFA provides
to it's clients. Click HERE to see the analysis of
the evolution of these portfolios.
Backtested
performance is calculated by using a computer program
and monthly returns data set that starts with the
first day of the given time period and evaluates the
returns of simulated indexes and index mutual funds,
see Data Sources. In 1999, tax-managed funds became
available for many different index funds. IFA uses
tax-managed funds in taxable accounts. The tax-managed
funds are consistent with the indexing strategy, however,
they should not be expected to track the performance
of corresponding taxable funds in the same or similar
indexes. As such, the performance of portfolios using
tax-managed funds will vary from portfolios that do
not utilize these funds.
3.
Backtested performance
does not represent actual performance and should not
be interpreted as an indication of such performance.
Actual performance for client accounts may be materially
lower than that of the index portfolios.Backtested
performance results have certain inherent limitations.
Such results do not represent the impact that material
economic and market factors might have on an investment
adviser's decision-making process if the adviser were
actually managing client money. Backtested performance
also differs from actual performance because it is
achieved through the retroactive application of model
portfolios (in this case, IFA’s twenty index portfolios)
designed with the benefit of hindsight. As a result,
the models theoretically may be changed from time
to time to obtain more favorable performance results.
4.
Index portfolios 10, 30, 50, 70 and 90 were originally
suggested by Dimensional Fund Advisors (DFA), merely
as a example of globally diversified investments using
their many custom index mutual funds, back in 1991
with moderate modifications in 1996 to reflect the
availability of index funds that tracked the emerging
markets asset class. Portfolios between each of the
above listed portfolios were created by IFA in 1999
by interpolating between the above portfolios. Portfolios
5, 95 and 100 were created by Index Funds Advisors
in 1999, as a lower and higher extension of the DFA
1991 risk and return line. Due to the high similarity
of the 1999 versions of index portfolios 95 and 100
to index portfolio 90, the 95 and 100 portfolios were
moderately modified in November 2002 to have higher
exposure to small and value equities through out the
world. According to the extensive research of Eugene
Fama, Kenneth French and Jim Davis, utilizing data
from the Center for Research of Security Prices (CRSP)
over a 68 year period from July 1929 to June 1997,
this change has higher risk and return expectations
than the previous versions of 95 and 100. (see Characteristics,
Covariances, and Average Returns: 1929-1997) In January
2004, IFA changed the computer program setting to
calculate annual rebalancing on the various indexes
in the index portfolios. Previous to that they were
rebalanced monthly. Annual rebalancing is closer to
the actual rebalancing of client accounts, therefore
it was adopted as the new method in January 2005.
5.
Backtested performance results assume the reinvestment
of dividends, ordinary and capital gains and annual
rebalancing. The performance of the strategy reflects
and is net of the effect of IFA’s annual investment
management fee of 0.9%, billed monthly. Monthly fee
deduction is a requirement of our software used for
backtesting. Actual IFA advisory fees are deducted
quarterly, in advance. This fee is the highest fee
IFA has ever charged. Depending on the size of your
assets under management, your investment management
fee may be less. Backtested risk and return data is
a combination of live (or actual) mutual fund results
and simulated index data, and mutual fund fees and
expenses have been deducted from both the live (or
actual) results and the simulated index data.
Although
index mutual funds minimize tax liabilities from short
and long term capital gains, any resulting tax liability
is not deducted from performance results. Performance
results also do not reflect transaction fees (as seen
here) and other expenses charged by broker-dealers,
which reduce returns. IFA is not paid any brokerage
commissions, sales loads, 12b1 fees, or any form of
compensation from any mutual fund company or broker
dealer. The only source of compensation from client
investments is obtained from asset based advisory
fees paid by the client.
More
information about advisory fees, expenses, no-load
mutual fund fees, prospectuses for no-load index mutual
funds, brokerage and custodian fees can be found on
the HERE and on the Fee link in the gold navigation
bar below and on every page of this internet site.
6.
For all data periods, annualized standard deviation
is presented as an approximation by multiplying the
monthly standard deviation number by the square root
of twelve. Please note that the number computed from
annual data may differ materially from this estimate.
We have chosen this methodology because Morningstar
uses the same method. (see IFA Indexes Time Series
Construction)
7.
Not all of IFA clients follow our recommendations
and depending on unique and changing client and market
situations we may customize the construction and implementation
of the index portfolios for particular clients, including
the use of tax-managed mutual funds, tax-harvesting
techniques and rebalancing frequency and precision.
In taxable accounts, IFA uses tax-managed index funds
to manage client assets. However, the tax-managed
index funds are not used in calculating the backtested
performance of the index portfolios, unless specified
in the table or chart. Some clients substitute the
mutual funds recommended by IFA with investment options
available through their 401k or other accounts, thereby
creating a custom asset allocation. The performance
of custom asset allocations may differ materially
from (and may be lower than) that of the index portfolios.
See composite returns for All Accounts and for just
Tax Deferred Accounts. Note that the last few pages
provide descriptions of calculations used in various
columns of the composite returns reports.
8.
Performance results for clients that invested in accordance
with the Index Portfolios will vary from the backtested
performance provided on the site due to market conditions
and other factors, including investments cash flows,
mutual fund allocations, frequency and precision of
rebalancing, tax-management strategies, cash balances,
lower than 0.9% advisory fees, varying custodian fees,
and/or the timing of fee deductions. As the result
of these and potentially other variances, our clients
have not and are not expected to have achieved the
exact results shown since November 1999, when we placed
our first investment. Actual performance for client
accounts may differ materially from (and may be lower
than) that of the index portfolios. Clients should
consult their account statements for information about
how their actual performance compares to that of the
index portfolios.
9.
As with any investment strategy, there is potential
for profit as well as the possibility of loss.
IFA
does not guarantee any minimum level of investment
performance or the success of any index portfolio
or investment strategy. All investments involve risk
(the amount of which may vary significantly) and investment
recommendations will not always be profitable.
10.
Past performance does not guarantee future
results.
11.
WHY GO TO ALL THIS TROUBLE?
This
type of analysis is important because a shorter time
period introduces a large statistical sampling error
for both risk and average returns. Past performance
does not predict future performance, however, analyzing
30 years or more of simulated risk and return data
is a more reliable source of information concerning
the cost of capital for firms and their shareholders
and the resulting expected returns for investors who
trade their cash for shares and bonds of those firms.
That is the essence of capitalism.
The
result of this data is a probability distribution
with an average return and a standard deviation around
the average, which best characterizes future random
events that are totally unpredictable like the roll
of the dice or flip of a coin, yet these random events
over long time horizons, like 30 years or more, accumulate
to new distributions. These distributions are, to
varying degrees, similar to a large sample of previous
distributions, such as 30 years. Shorter time horizons
demand lower risk investments, while longer time horizons
allow for regression to the mean. The "mean" refers
to the average expected outcome of returns, which
is also the most probable outcome. The distribution
of historical market data is a leptokurtic distribution,
meaning it is not conclusive in any way as to the
limits of losses or gains (see Leptokurtic distributions).
The dice and coin flip does have limits, but the market
does not. There is an unlimited risk on stock market
investments that can not be clear in even very long
term historical data. For example, in the stock market
crash of 1929, the market declined 89% and many investors
had leveraged their capital and lost all of their
investment. The stock market is a risky investment
and investors can lose all or nearly all of their
money because of the risk of firms going out of business,
general macroeconomic and political risk, and challenges
to the ideas of capitalism in general.
However,
this analysis is far more useful than the traditional
1, 3, or 5 year returns and risk data used by the
great majority of individual and professional investors.
Without such longer term analysis, investors would
be merely speculating on the risks and expected returns
of their investments with a statistically unacceptable
sample, like a gambler in a casino hopelessly trying
to beat the casino statistician, who may be referred
to as the dice, card, and roulette wheel actuary.
This is in fact what investors do and several of studies
have confirmed it is the source of their near zero
average returns over the last 17 years, after inflation
and taxes. As Louis Bachelier stated in the first
published paper on the random character of stock market
data, The Theory of Speculation (1900), "the expected
return of speculation is zero." Statistically speaking,
investors have a relatively high standard error of
the mean (average return) with data of less than 30
years.
Because
Index Funds Advisors is recommending mutual funds
that correlate to the investment criteria of the simulated
index data, there is a greater chance that the data
is useful to index funds advisors than it is to actively
managed mutual fund advisors that do not replicate
the index and therefore engage in style drift. Past
performance for active managers is an especially poor
indicator of future results, due to the relatively
small number of years of performance data available
for each active manager and the fact that even during
that period they are style drifting.
This
analysis and investment strategy is consistent
with the Modern Portfolio Theory, which is the term
used to summarize the combined research of Harry Markowitz,
William Sharpe and Merton Miller. They were awarded
the Nobel Prize for Economics in 1990 for their efforts
to describe how financial markets work and how to
build efficient portfolios.
12.
Your use of this site is acknowledgement that you
have read and understood the full disclaimer. Index
portfolios times series standard deviations and returns
source: DFA FA Returnw. © Copyright 1999-2005.

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