IFA Index Portfolio Overview
The optimal investment is a globally diversified, taxmanaged, and small and value tilted, mix of
index funds (risk exposure) matched to your unique risk capacity, referred to as CEO Investing: CapacityExposure Optimization.
Index
funds (either mutual or exchange traded) are funds with clearly defined sets of rules
of ownership, that are adhered to regardless of
market conditions. There are about 1,000 index funds available to investors. We like many of them, but our current favorite are the index funds or passively managed funds from Dimensional
Fund Advisors (DFA).
IFA offers 100 Index Portfolios, which are individualized and indexed. The Index Portfolios are allocated among three broad asset
classes: fixed income (bonds); U.S. stocks; and foreign stocks (see a sample of 20 Index Portfolios in Figure 1). The
stocks are further divided by size and value (booktomarket ratio).
Figure 1(permalink)
For an explanation as to why asset allocation explains 100% of your long term expected risk and return, please read this article: Investment
Policy Explains All.
If you are having trouble understanding this article, please call IFA,
8886433133.
According to the Financial
Economists Roundtable, index portfolios are the best
estimates of the principal risk factors that are likely to influence
fund risks and returns in the future.
Matching People with Portfolios
Once the above article is understood, the only decision
left is where should an investor be on the risk capacity versus risk exposure
line. This is very important because returns are optimized when investors
are on the line. Risk capacity can be estimated using the Risk
Capacity Survey and risk exposure correlates to the 100 Index Portfolios (investment
policies or asset allocations of indexes).
Where
are you and your investments on the graph in Figure 2. If you do not
know, your investments are equivalent to an uninformed guess or speculation.
As shown in the chart, Index Portfolios with the lowest expected risk and return
have higher allocations toward fixed income with a moderate investment
in stocks. Conversely, Index Portfolios with the highest expected risk and
return have less fixed income and more stocks and are tilted toward
small companies and value companies in the U.S., International and Emerging
Market.
Figure 2(permalink)
The Risk Return Table below includes standard deviations
for twenty Index Portfolios. Standard
deviation expresses the spread of individual observations around
the mean or average. A standard deviation is the square root of
the variance. Variance is the measure of the spread of variability
of quantitative measurements.
In other words, the standard deviation is a statistic measurement
that tells you how tightly the various annual returns are clustered
around the average. When the annual returns
are pretty tightly bunched together the standard deviation is small and the bellshaped curve is
narrow. When the annual returns
are spread apart and the bell curve is relatively flat, it tells
you that you have a relatively large standard deviation.
The combination
of the average and the standard deviation characterize various bell
curve shapes and those shapes represent the risk and return of the
Index Portfolio. Figure 3 shows you graphically what a standard deviation
represents.
Figure 3(permalink)
One standard deviation away from the average in either direction
on the horizontal axis (the green area on the graph) accounts
for somewhere around 68 percent of the annual returns in the time
period. Two standard deviations away from the mean (the green
and blue areas) account for roughly 95 percent of the annual returns.
And three standard deviations (the green, blue and red areas)
account for about 99 percent of the annual returns.
Standard Error

The standard error of the mean
indicates the degree of uncertainty in calculating an estimate from
a sample, like a series of returns data. A standard
error can be calculated from the standard deviation by dividing
the standard deviation by a square root of the sample size. So with only 3 years of returns data
on the S&P 500, the error in the average return is 2.6 times
larger than having 20 years of data.
The significant benefits associated with capturing the right amount of risk are elegantly displayed in Figure 4, which shows the growth of $1,000 in 100 different Index Portfolios. Each of these engineered portfolios is designed with different blends of equities and fixed income. This continuum of risk and return provides investors the opportunity to invest in a targeted asset allocation that matches their risk capacity score between 1 and 100. The chart further validates the value of carefully matching an investor's risk capacity to a corresponding risk exposure, avoiding the rounding up or down of the analysis. As you can see, a small change in risk made a substantial difference in the growth of $1,000 over the 50+ year period. The chart also shows the growth of $1.00 and $100.00 over the same time period.
Figure 4(permalink)
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Figure 7(permalink)
Figure 8(permalink)
Figure 9(permalink)
Figure 10(permalink)