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proposed
by Markowitz is
testament to its central importance in the investment process. This revolutionary
insight has not only transformed the investment world of corporate and government
pension plans, insurance companies, banks and other large institutional
investors, it has also changed the way individual investors invest.
Markowitz knew that no one had really tried to systematically
understand the importance of risk in the investment process. Up to that
time, investors had focused on an investment’s return, but if they
believed it contained some arbitrary, undefined notion of risk, then the
investment wasn’t included in the portfolio. Markowitz understood
quite clearly that risk and return are related. After all, investors like
return and want to increase it, and they dislike risk and want to reduce
it. On that day in the library, Markowitz set out to show investors how
they could improve their investment performance by optimizing trade-offs
between risk and return.
Because it seems so obvious, it’s hard to appreciate how truly profound
Markowitz’s idea was. Of course both risk and return should be considered.
In spite of the evident nature of this idea, the investment media continues
to spread the “good news” of returns, while downplaying the
“bad news” of risk.
11.2.2 Diversification

Diversification in investing refers to the process
of spreading out risk. Let’s look at a single stock in an index
versus the entire index as seen in Figure 11-3. Because
of the random nature of risk, no one knows what is going to happen in
the short term to a subset of stocks in the index.
Figure 11-3
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A subset of the index
would actually be another index altogether with different risk and return
characteristics. At an extreme, one stand alone stock represents its own
index, but it has a very high risk and offers no additional expected return
over the asset class to which it belongs.
Look at one small value stock in Figure 11-3. It has
a risk of about 75% and an expected return that’s the same as the
small value index. However, the index only has a risk of 30%. So, why
buy just one stock? Or better yet, why buy any stocks with an expected
risk higher than the index? There is no logical answer, other than to
speculate on the random outcomes of a higher risk investment. What is
the expected return of speculation? Answer: Zero minus your costs.
When investors concentrate their investments, they are increasing their
risk with no added benefit of higher expected return. In other words,
investors are not rewarded for taking the higher risk of concentrating
their investments such as selecting just a handful of stocks for their
portfolio. The result is that over a period of 20 years or so the risk
or volatility of an individual stock is about 2.5 times that of a market
index with no expected extra payoff.
The most prudent approach to minimize risk and maximize the probability
of achieving a market rate of return is to hold the entire index. The
optimal approach is to find an index with desirable risk and return characteristics
and then adhere to the index rules of ownership, which is the job of the
index mutual fund manager. This way the specific risk of each stock in
the index is diversified down to near zero. This leaves investors with
the systematic risk of the market the index is designed to track. Anything
less than this optimal approach will cause the portfolio’s risk
to exceed the risk of the index as a whole.
When
Harry Markowitz wrote his Nobel Prize-winning paper in 1952 titled “Portfolio
Selection,” he laid out the mathematics of diversification and the
foundation of the design of risk exposure. He set out to apply his engineering
background to investing, so, his thesis could be referred to as “portfolio
engineering.” In his paper he indicated that it’s best to
engineer a portfolio to include stocks that do not act like each other
or move together.
For example, stock A and stock B move in opposite directions. When stock
A goes up, stock B goes down and vice versa. This is called a low correlation
of the two investments. If each stock yields returns with the exact same
average, investors actually earn a diversification benefit of lower volatility
and higher returns if they hold these stocks in the same portfolio. This
is a good thing! As Markowitz stated in 1952, investors should consider
expected returns desirable and variance of returns undesirable.
Unfortunately, many investors still do not get this important point. One
diversification detractor is the book, The Battle for Investment Survival,
written by Gerald Loeb in 1935. Loeb expressed a conventional investing
idea that became popular in the 1950s. He claimed that an investor who
diversifies is basically admitting a lack of knowledge and trying only
to strike an average. Loeb recommended that one, two or at most three
or four securities should be bought. He said that competent investors
will never be satisfied beating the averages by a few small percentage
points. Broad diversification was considered undesirable, and he suggested
that investors analyze securities one by one, focus on picking winners,
and concentrate holdings to maximize returns.
Fortunately, there is now ample evidence to counter and debunk Loeb’s
theories. This 12-Step Program was created to educate those investors
who still insist on practicing futile investment strategies, such as non-diversification
of portfolios.
11.2.3 Global Diversification and Regional Bias

Global diversification
is a good idea because the international market is increasingly important
in the world economy. The United States used to be a much larger percentage
of the world market. It declined from 68% of the global equity value to
46% in 2004, as seen in Figure 11-4.
As of 2010, the US has declined to about 43% of the world total market value. There are additional
risk factors in international markets that can both smooth out your volatility
and increase your expected returns. To be effective, a portfolio cannot
afford to exclude international investments.
Regional bias, also known as home bias, is the tendency for investors to hold a higher percentage of their portfolio in their home country than would be suggested by the weighting of their country relative to the rest of the world.
For example, as of 4/30/2010, the United States made up 43% of the total global market capitalization or $12.6 Trillion of the $29.3 Trillion global market. An American investor who has a higher percentage than this in U.S. equities is exhibiting regional bias. Even when it comes to international investing, regional bias is also present, as shown in “Home Bias in Foreign Investment Decisions” (Ke, Ng, and Wang, 2006). Specifically, American investors are more likely to overweigh foreign companies that have a strong American presence (e.g., Sony, Toyota, BP).
The extent of regional bias around the world is pervasive and surprisingly high, as illustrated by data from a 1997 IMF survey of cross-border equity holdings.
| Country |
% of Global Market Cap |
Actual % Held by Local Investors |
| Australia |
1.46% |
77.96% |
| Canada |
2.72% |
70.39% |
| France |
0.42% |
79.75% |
| Japan |
13.33% |
89.38% |
| United Kingdom |
11.43% |
69.37% |
| USA |
55.20% |
85.45% |
Although in theory it would be the most efficient approach in accordance with the Capital Asset Pricing Model, it is not IFA’s recommendation that investors hold the global market percentage of their home countries, as this would be simply unrealistic. Most investors follow their home markets much more closely than they do foreign markets. In the U.S., for example, we are constantly bombarded by news and commentary from outlets such as CNBC.
During time periods when the U.S. market outperforms the foreign markets (as in the late 1990’s) the pain of not having all of our investments in U.S. stocks is felt acutely. In other words, we have a tendency to assign a mental tracking error to our portfolio with respect to the U.S. market.
One objective to portfolio design is to minimize the urge to trade. Having a large percentage of our portfolio in U.S. equities mitigates that urge to trade and trades placed under duress are often deleterious to investor wealth.
The true US equity portion of IFA’s standard portfolios is hard to determine, but the allocations indicate that it wouold be 65% US. However, we estimate that about 20% of sales from the US companies come from international markets, which would bring the allocation closer to 45% US. On the other hand, several international companies have a portion of their sales in the US, which may move the US allocation back to 50% or more. While higher than the CAPM suggested percentage of 43%, IFA considers this to be a reasonable allocation that aligns with IFA’s goal of matching investors with portfolios that they will be more likely to hold when they are out of sync with US market returns.
The IFA Index Portfolios also address the issue of investors being overly attracted to foreign companies with a strong American presence. These companies tend to be categorized as large growth, and IFA’s tilt towards small and value companies will result in de-emphasizing these companies.
11.2.4 Portfolio Rebalancing

One idea built into
the long-term buy and hold strategy of risk exposure is the concept of
maintaining consistent exposure to risk as the individual indexes that
comprise a portfolio change along the way. For example, an original mix
may include 10% of a U.S. small value index. If that grows to 15% of the
overall mix, the portfolio now has a different overall risk exposure.
In this case, it would be important to trim the 15% back down to 10% by
investing the proceeds in other indexes that have gone down or not grown
as much. Then, the original mix is restored to its proper allocation.
11.2.5 Whole Portfolios and Tax Hybrid Portfolio Design

Most investors end
up with at least three accounts. They have a 401(k) or 403(b) at work,
an IRA or Roth IRA, and a regular taxable investment account. The risk
capacity analysis applies to an investor’s total investable assets,
so the resultant risk exposure represents all accounts as if they were
one whole portfolio.
This is where the tax hybrid portfolio design process gets a little tricky. A tax hybrid strategy must
be applied to optimize the tax deferred and taxable nature of different
types of accounts. For example, fixed income and REIT index funds should be placed in tax-deferred accounts (like IRAs) and equity or stock index funds should be placed in the taxable accounts.
Tax hybrid design is necessary because fixed income and REIT index
funds generate high-tax-rate non-qualified dividend income and tax-managed equity index funds have very little, if any, high-tax-rate non-qualified dividend income. Therefore, fixed income and REITS derive more benefits from tax-sheltering. If they were held in a taxable account, their non-qualified dividends would be taxed at ordinary income rates up to 35% for Federal taxes and whatever state taxes may apply.
In addition, when these investments are distributed during retirement, the full amount of each distribution is taxed at your ordinary income tax rate. Therefore, the lower expected return asset classes, like fixed income, are better off residing in tax deferred accounts. This way you will have less overall gain and therefore less high-tax-rate ordinary income taxes upon distribution, even at the lower tax rates of retirement income levels.
Tax-managed equity index funds, on the other hand, achieve most of
their life time returns in the form of unrealized capital gains (no tax
incurred until sold) and to a far lesser extent, realized long term capital
gains from rebalancing and long term capital gains and qualified dividends
from fund distributions. Tax-management virtually eliminates short term
capital gains. These long term capital gains in equity funds are typically
a lower percentage of the fund value than the non-qualified dividends
are of fixed income and REIT fund values. The long term capital gains
and qualified dividends of tax-managed equity funds are also taxed by
Uncle Sam at a more favorable long term capital gains rate of 15%, plus
applicable state tax, as of 2008. If this is still confusing to you,
please consult your investment advisor and/or tax advisor. Also,
see this article by Jason Zweig. A related subject has to do with
the questionable protection of your IRA assets from lawsuits, see
here.
A spreadsheet that combines the assets of each account and verifies
overall risk exposure is a required tool for determining the dollar amount
to be invested in each mutual fund and to optimize future cash outflows,
inflows, rebalancing, and tax loss harvesting. This is where an index
funds advisor adds substantial value to an investor’s portfolio.
Since risk is the source of returns, and too little or too much risk is
undesirable, the maintenance of proper risk exposure and the optimization
of a tax-hybrid strategy is a highly rewarded effort that leads to optimal
returns unique to each investor.
11.2.6 The Prudent Investor Act

Index funds are an
ideal way to implement risk exposure making them the best way to achieve
an investor’s goals. This concept is even incorporated into legal
guidelines under the American Law Institute’s so-called “Restatement
of the Law, Trust, Prudent Investor Rule.”
The rule, published in 1992, was written as a guideline for the prudent
management of trust assets and many states passed it into law. In California
it passed into law in 1996 under the title “The Uniform Prudent
Investor Act.” This rule points out the value of Modern Portfolio
Theory. It essentially tells trustees that index funds are the prudent
way to invest trust assets. The rule acts as a legal road map for estate
planning attorneys, trustees of all types of trusts, and investment advisors.
The following reporter’s notes on the Prudent Investor Rule points
out the problems with active management. “Economic evidence shows
that from a typical investment perspective, the major capital markets
of this country are highly efficient, in the sense that available information
is rapidly digested and reflected in the market prices of securities.
As a result, fiduciaries and other investors are confronted with potent
evidence that the application of expertise, investigation, and diligence
in efforts to ‘beat the market’ in these publicly traded securities
ordinarily promises little or no payoff or even a negative payoff after
taking research and transaction costs into account. Empirical research
supporting the theory of efficient markets reveals that in such markets
skilled professionals have rarely been able to identify under priced securities,
(that is, to outguess the market with respect to future return) with any
regularity. In fact, evidence shows that there is little correlation between
fund managers’ earlier successes and their ability to produce above-market
returns in subsequent periods.”
Five Principles of Prudence
1. Sound diversification
is fundamental to risk management and is therefore ordinarily required
of trustees.
2. Risk and return are so directly related that trustees have a duty to
analyze and make conscious decisions concerning the levels of risk appropriate
to the purposes, distribution requirements, and other circumstances of
the trusts they administer.
3. Trustees have a duty to avoid fees, transaction costs and other expenses
that are not justified by the needs and realistic objectives of the trust’s
investment program.
4. The fiduciary duty of impartiality requires a balancing of the elements
of return between production of current income and the protection of purchasing
power.
5. Trustees may have a duty as well as the authority to delegate as prudent
investors would.
11.3.1 How Much Risk is There?

It is extremely rare
for any stockbroker, investment advisor or mutual fund manager to quote
the risk level of a client’s whole portfolio or any part of it.
This is one of the many reasons investors do so poorly. So where do investors
obtain this rare and important data? The most convenient and accessible
measurement is the standard deviation, and the data becomes more reliable
the longer the time frame is considered.
The standard deviation quantifies the variation of the returns around
the average return. A larger variation or standard deviation often goes
hand in hand with a higher risk that an investor may sell the investment
out of fear or panic when it goes down. This obviously is an undesirable
outcome. Ideally, a high risk exposure is accompanied by a high expected
return. That is not always the case. Clearly there are high risks with
low expected returns such as small growth and large growth indexes.
Statisticians require a minimum of 20 years of data to reduce the error
and increase the confidence to an acceptable level of the reported risk
and return characteristics of any investment. This dramatically reduces
the investments options to index mutual funds and ETFs, since the indexes
they track provide more than 20 years of data. There are currently only
86 active managers in the Morningstar database with 20 years or more tenure.
As with anything, the best strategies are useless without quality input
— “garbage in.” A minimum of 20 years of data is necessary
to generate quality output. So how much risk is in a fund or portfolio?
A globally diversified portfolio of indexes with a 50-year history holds
a risk with a standard deviation of approximately 14.1%. Coincidentally,
the simulated return is also 13.4%. However, in order to handle this level
of risk exposure, an investor must score 90% on The Risk Capacity Survey.
11.3.2 Where is the Data?

Virtually all reliable
data about the stock market originates from the University of Chicago’s
Center for Research of Security Prices (CRSP). CRSP is a descendant of
the Cowles Commission, which was created out of the deep pain caused by
the 1929 stock market crash.
Today, many firms and research organizations obtain new data from CRSP
and crunch numbers. Among them are Dimensional Fund Advisors (DFA), Ibbotson
and Associates, and Standard and Poor’s Micropal. Other data sources
include Morningstar and Lipper.
Of all the mutual fund companies, DFA stands alone in providing its pool
of unique financial advisors with a complete data set on numerous indexes,
going back to 1927. This allows index funds advisors to perform analysis
that is normally only available to academic researchers. DFA is the only
company that provides several seminars per year, offering the best and
brightest of academia to lecture and interact with practicing professional
advisors. The term “professional” here is important. Genuine
professional advisors use index funds to construct portfolios.
So, where is the data? DFA houses the best source of meaningful long-term
data, including the unique indexes or rules of ownership established by
Eugene Fama, Kenneth French, Merton Miller, Myron Scholes, David Booth
(CEO), and Rex Sinquefield. On a Web site that offers peer-reviewed academic
research in the social sciences, (www.ssrn.com), Fama is the number one
downloaded author from more than 50,000 authors. Out of 8.8 million downloads,
Fama has 3 of the top 10 downloaded articles. Besides his Ph.D., Fama
has received honorary degrees and numerous awards.
11.3.3 Investors Want to Avoid Risk

Another problem related
to risk exposure is that most investors do not like risk, but they do
want returns. Unfortunately, it just does not work that way. To avoid
risk is to avoid returns. If an investor is feeling uncomfortable taking
a risk, not much return can be expected.
The desire to avoid risk is at the very core of the poor performance many
investors experience. Investors like to invest after the market has already
gone up. They like to invest in companies that are best described as glamour
stocks, otherwise known as large growth stocks. They like to turn their
hard earned money over to the fund manager with favorable three to five
years of market beating returns — the manager that appears on the
cover of Money Magazine. All these tendencies feel good, safe, and less
risky. The fact is: these featured funds are all relatively expensive
due to their popularity. These funds provide their sellers a low cost
of acquiring an investor’s capital. Here’s the big lesson:
an investor’s expected return is the same as the seller’s
cost of capital. A low cost of capital exists in all high priced investments;
therefore, investors end up with a low return, hence the adages, “No
risk, no return. Nothing ventured, nothing gained. Buy low and risky,
sell high and safe.” Simply put, risk is good. Embrace it.
11.3.4 Risk is Good in Proper Doses

Investors must learn
to relish risk and to realize it is the source of their returns, not their
nemesis. It’s all a matter of matching people with portfolios or
risk capacity with risk exposure. This process results in the arrival
of a risk exposure that each investor can hang onto through thick and
thin, sickness and health, bull or bear markets, for richer or poorer
or until there is a need to withdraw the money.
In proper doses, risk is a beautiful thing. This concept is brought to
investors by the brilliant minds of academics and Nobel laureates.
11.3.5 Portfolios get out of Balance

Another concern for
investors is the maintenance of risk exposure or portfolio rebalancing.
As discussed in the definition of rebalancing, this procedure is far more
complex than it appears, especially when it is conducted across several
investment accounts with different tax considerations. There is also a
balance between the transaction costs and capital gains generated by rebalancing.
A trade-off between risk exposure maintenance and transaction costs must
be carefully weighed and include the changes in risk capacity since the
previous measurement.
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