Category Archives: Geometric Returns

How to Become a Successful Long-Term Investor – Part 2 of 3 – Understanding and Reducing Risk

25 Wednesday Sep 2019

Posted by in asset allocation, behavioral finance, Consumer Finance, Education, finance, finance theory, financial advice, Financial Advisor, financial goals, financial markets, Financial Media, Financial News, financial planning, financial services industry, Geometric Returns, historical returns, Individual Investing, individual investors, investing, investing advice, investing tips, investment advice, investments, math, Modern Portfolio Theory, MPT, personal finance, portfolio, risk, risk tolerance, risks of stocks, S&P 500, S&P 500 historical returns, S&P 500 Index, standard deviation, statistics, stock market, Stock Market Returns, Stock Market Valuation, stock prices, stocks, volatility

≈ 3 Comments

Tags

, , , , , , , , , , , , , , , , , , , , , , , , ,

Another extremely important part of being a long-term investor is to understand the concept of risk.  Financial professionals define risk in a number of different ways, and we will examine some of those definitions.  The overarching goal is to look at risk from the standpoint of the volatility or dispersion of stock market returns.  Diversification of various investments in your portfolio is normally the way that most financial professionals discuss ways to manage the inevitable fluctuations in one’s investment portfolio.  However, there is another more intuitive way to reduce risk which will be the topic of this second part of this examination into becoming a successful long-term investor.

The first part of this series on long-term investing was a look back at the historical returns of the S&P 500 Index (including the reinvestment of dividends).  The S&P 500 Index will again be the proxy used to view the concept of risk.  If you have not had a chance to read the first part of the series, I would urge you to follow the link provided below.  Note that it is not a prerequisite to follow along with the discussion to come, but it would be helpful to better understand the exploration of risk in this article.

The link to part one of becoming a successful long-term investor is:

https://latticeworkwealth.com/2019/09/23/successful-long-term-investing/

But now we will turn our attention to risk.  Risk can be a kind of difficult or opaque concept that is discussed by financial professionals.  Most individual investors have a tough time following along.  Sometimes there is a lot of math and statistics included with the overview.  Although this information is helpful, we need to build up to that aspect.  However, there will be no detailed calculations utilized in this article that might muddy the waters further.  I believe it helps to take a graphical approach and then build up to what some individual investors consider the harder aspects of grasping risk.

Risk related to investing in stocks can be defined differently, but the general idea is that stocks do not go up or down in a straight line.  As discussed in depth in part one, the annual return of the S&P 500 Index jumps around by a large margin.  Most individual investors are surprised at seeing the wide variation.  Ultimately, the long-term historical average of the S&P 500 Index from 1957 to 2018 is 9.8%.  But rarely does the average annual return end up being anywhere near that number.

The first way I would like to look at risk within the context of long-term investing is to go back to our use of “buckets” of returns.  If you have not already read part one, I used “buckets” with ranges of 5% to see where stock returns fit in.  As it relates to risk, we are only going to look at the “bucket” that includes the historical average 7% to 12% and then either side of that “bucket” (2% to 7% and 12% to 17%).  Additionally, we will look at yearly stock returns and then annualized stock returns for three years, five years, and ten years.  Here is our first graph:

Returns on Either Side of Historical Average

The main takeaway from viewing this graph is that, as the length of time increases, more stock market returns for the S&P 500 Index group around the historical average for the index of 9.8%.  Remember that part one covered the useful information that, even though the historical average to be expected from investing in stocks is 9.8%, individual investors need to know that it can take long periods of time to see that historical average.  In fact, if we look only at one-year increments, approximately 33.9% of stock returns will fall into the range of 2% to 17%.    Or, if we use our yearly equivalent, stock market returns will only fall within that range 1 out of every 3 years.  When individual investors see this graph for the first time, they are usually shocked and somewhat nervous about investing in stocks.

The important thing to keep in mind is that as the length of time examined increased many more stock returns fall into this range.  The numbers are 65.0%, 67.1%, and 81.1%, for three years, five years, and ten years, respectively.  Converting those numbers to yearly equivalents we have about 6-7 years out of ten for three years and five years.  And, as one would intuitively suspect, the longest timeframe of ten years will have stock returns falling into the 2% to 17% range roughly 8 in every 10 years.  Now that still means that 20% to 35% of long-term returns fall outside of that range when considering all those time periods.  But I believe that it is certainly much more palatable for individual investors than looking at investing through the lens of only one-year increments.

Another aspect of risk is what would be termed downside protection.  Most individual investors are considered to be risk averse.  This term is just a fancy way of saying that the vast majority of investors need a lot more expected positive returns to compensate them for the prospect of losing large sums of money.  Essentially an easier way to look at this term is that most individual investors have asymmetric risk tolerances.  All that this means in general is that a 10% loss is much more painful than the pleasure of a 10% gain in the minds of most investors.  Think about yourself in these terms.  What would you consider the offset to be equal when it comes to losing and earning money in the stock market?  Would you need the prospect of a 15% positive return (or 20%, 25% and so forth) to offset the possibility of losing 10% of your money in any one year?  Let’s look at the breakdown of the number of years that investors will experience a loss.  To be consistent with my first post, I am going to use the “bucket” of -3% to 2% and work down from there.  Here is the graph:

Returns Less than 2%

There are 61 years of stock market returns from the S&P 500 Index for the period 1957 to 2018.  If we look at the category of 1 year, stock market returns were 2% or less 38.7% of the time (17 years out of 61 years).  However, if we move to five-year and ten-year annualized returns, there were no observations in the -3% to -8%, -8% to -13%, or less than -13% “buckets”.  When looking at losing money by investing in the stock market, a long-term focus and investment strategy will balance out very negative return years and your portfolio is less likely to be worth significantly less after five or ten years.  Of course, there are no guarantees and perfect foresight is something that we do not have.  However, I believe that looking carefully at the historical data shows why it is important to not be so discouraged by years when the stock market goes down and even stays down for longer than just one year.  Hopefully these figures do provide you with more fortitude to resist the instinct to sell stocks when the stock market takes a deep decline if your investment horizon and financial goals are many, many years out into the future.

The final concept I would like to cover is standard deviation.  The term standard deviation comes up more often than not either in discussions with financial professionals during client meetings or is used a lot in the financial media.  There are many times when even the professionals use the term and explain things incorrectly, but we will save that conversation for another post.  Standard deviation is a statistical term that really is a measure of how far away stock market returns are from the mean (i.e. the average).  It is a concept related to volatility or dispersion.  So, the higher the number is, the more likely it is that stock market returns will have a wide range of returns in any given year.  Let’s first take a look at a graph to put things into context.  Here it is:

Standard Deviation

The chart is striking in terms of how much the standard deviation decreases as the time period increases.  A couple things to note.  First, I do not want to confuse you with a great deal of math or statistical jargon and calculations.  My point is not to obscure the main idea.  Second, the 25-year and 50-year numbers are just included only to cover the entire period of 1957 to 2018 for the S&P 500 Index.  These periods of time are not of much use to individual investors to consider their tolerance for risk and the right investments to include in their portfolios.  And, as one of the most famous economists of the 20th century, John Maynard Keynes, quipped:  “In the long run, we are all dead”.  My only point is that discussion of how the stock market has performed over 25 years or longer is just not relevant to how most individuals think.  It is nice to know but not very useful from a practical perspective.

The main item of interest from the graph above of standard deviation is that you can “lower” the risk of your portfolio just by lengthening your time horizon to make investment decisions on buying or selling stock.  For example, the standard deviation goes down 46.9% (to 8.95% from 16.87%) between one-year returns and three-year annualized returns.  Why do I use “lower”?  Well, the risk of your portfolio will stay constant over time and focusing on longer periods of time will not decrease the volatility per se.  However, most financial professionals tell their clients to not worry about day-to-day fluctuations in the stock market.  Plus, most Financial Advisors tell their clients to not get too upset when reviewing quarterly brokerage statements.  This advice is very good indeed.  However, I urge you to lengthen the period of your concern about volatility in further out into time.  My general guideline to the individuals that I assist in building financial portfolios, setting a unique risk tolerance, and planning for financial goals is to view even one year as short term akin to examining your quarterly brokerage statement.

Why?  If you are in what is termed the “wealth accumulation” stage of life (e.g. saving for retirement), what occurs on a yearly basis is of no concern in the grand scheme of things.  The better investment strategy is to consider three years as short term, five years as medium term, and ten years as the long term.  I think that even retirees can benefit with this type of shift.  Now please do not get me wrong.  I am not advising that anyone make absolutely no changes to his/her investment portfolio for one-year increments.  Rather, annual returns in the stock market vary so widely that it can lead you astray from building a long-term investing strategy that you can stick to when stock market returns inevitably decline (sometimes precipitously and by a large margin).  Note that all the academic theories, especially Modern Portfolio Theory (MPT), were built using an assumption of a one-year holding period for stocks (also bonds, cash, and other investments).  Most individual investors do not fall into the one-year holding period.  Therefore, it does not make much sense to overly focus on such a short time period.

Of course, the next thought and/or comment that comes up is “what if the stock market is too high and I should sell to avoid the downturn?”.  I will not deny that this instinct is very real and will never go away for individual investors.  In fact, a good deal of financial media television coverage and news publications are devoted to advising people on this very topic every single day.   It is termed “market timing”.  In the third and last article in this series on becoming a successful long-term investor, I am going to examine “market timing” with the same stock market data from the S&P 500 Index.  You will clearly see why trying to time the market and buy/sell or sell/buy at the right time is extremely difficult to do (despite what the financial pundits might have you believe given the daily commentary).

Before You Take Any Investment Advice, Consider the Source – Version 2.0

18 Wednesday Sep 2019

Posted by in asset allocation, Average Returns, behavioral finance, bonds, Charlie Munger, confirmation bias, Consumer Finance, emerging markets, Fama, finance, financial advice, Financial Advisor, financial goals, financial markets, Financial Media, Financial News, financial planning, financial services industry, Geometric Returns, Individual Investing, individual investors, interest rates, Internet Bubble, investing, investing advice, investing, investments, stocks, bonds, asset allocation, portfolio, investment advice, investments, Markowitz, Modern Portfolio Theory, MPT, personal finance, portfolio, risk, risk tolerance, stock market, Stock Market Returns, Stock Market Valuation, stock prices, stocks, Uncategorized, Valuation, volatility, Warren Buffett

≈ 1 Comment

Tags

, , , , , , , , , , , , , , , , , , , , , , , , , , , , , ,

I originally wrote about this topic five years ago.  However, I think that it may even be more relevant today.  You may have heard about behavioral finance/economics and how cognitive biases plagued individual investors when making financial and investing decisions especially during volatility times in the financial markets.  Sometimes an overlooked topic is the fact that whomever provides you with financial advice will invariably be affected by those same biases.  Yes, even the professionals cannot escape them.  One of the most prevalent and insidious cognitive biases is called “anchoring”.  In layman’s terms, “anchoring” describes the tendency of people to form a particular belief and then stick with it unless there is an incredible amount of evidence to the contrary.  It is just part of human nature; we generally do not want to admit that we were mistaken or flat out wrong.

Now when I am talking about considering the source, I am not referring to the person’s qualifications such as having a Chartered Financial Analyst (CFA), Certified Financial Planner (CFP), or Chartered Market Technician (CMT) designation.  I am referring to the person’s investing paradigm.  For the most part, financial professionals are influenced greatly by the time period in which they first start out in the financial services industry.  The first several of years have an outsized impact on their investing recommendations throughout the rest of their careers.  I will give you an example in life, and then I will talk about Warren Buffett and even myself.  Take special note that I am including myself in this “anchoring” cognitive bias within the context of investing.

There have been many studies that show that the kind of music you listen to most during your teen years becomes your preferred type of music.  For example, there are many people in their early 40’s that love 80’s rock.  They would prefer to listen to that over any type of new music.  My parents are in their seventies now, and they love to listen to Peter, Paul, & Mary, the Beach Boys, Neil Diamond, Motown, and lots of one-hit wonders from the 50’s and 60’s.  Think about your own taste in music.  Does this ring a bell?  Most people fall into this category, and it is almost subconscious.  You like a certain genre of music best, and it sticks with you.  Did you have a family member that was really into music and had a collection of records?  Sometimes you get introduced to music at an even younger age, and you are drawn to it.  You listened to it during your formative years.  The same goes for investing in a rather similar way.

If we take a look at Warren Buffett, he was definitely influenced by the time period in which he started learning about investing seriously.  Buffett read Security Analysis by Benjamin Graham and David Dodd, and he knew right away that he wanted to go to Columbia to get his MS in Economics.  The themes in the book seemed to resonate with him.  I have heard stories that the value investing class with Ben Graham and Warren Buffett was really a conversation between the two of them.  The rest of the classmates just sat back and enjoyed the “show”.  Warren Buffett also learned a lot from a lesser known gentleman, Phil Fisher.  Phil Fisher wrote the classic treatise on “scuttlebutt” called Common Stocks and Uncommon Profits.  “Scuttlebutt” is essentially trying to gain every last piece of information you can about a company prior to investing.  This technique includes, not only speaking to management and reading annual reports, but talking to competitors, suppliers, current employees, past employees, and several other sources.  Warren Buffett remarked in the past that he was “15% Fisher and 85% Graham” in terms of his investing style.  Most experts on the career of Buffett would say that the percentage has shifted toward Fisher quite a bit, especially with the massive size of Berkshire Hathaway now.

I did not pick Warren Buffett because of his long-term track record of stellar performance.  I only picked him because many individuals are familiar with Warren Buffett.  Warren started out working for Graham in the early 50’s after he graduated from Columbia in 1951.  If you look back at this time in history, the stock market had finally gained back its losses from the great crash of October 1929.  The baby boom was in full swing, and the US economy was on overdrive in terms of growth.  The Securities and Exchange Commission (SEC) was set up back in 1933 after the crash once an investigation was done regarding the causes of this debacle.  There were two important promulgations from the SEC in 1934 and 1940 that were issued in order to ensure that company information was available to the public and not fraudulent.  Well, there were still scams, but they were harder to pull off.  (As an aside, the Investment Advisor Act of 1940 did not stop Bernie Madoff from stealing billions of dollars several years ago).  Buffett and Graham (and Graham’s partner, Newman) loved to get their hands on any piece of information they could.  In fact, Buffett used to read entire books on every single public company.  During that time period, information was so disjointed and hard to get.  However, it was now available to the public and professional investors who could do much more thorough analyses.  The financial markets had far more inefficiencies back then.  This time period was before the dawn of Modern Portfolio Theory (MPT), the Capital Asset Pricing Model (CAPM), and the Efficient Market Hypothesis (EMT).  Thus, there was a great deal of opportunities for individuals like Buffett who soaked up all the information he could find.

Buffett started his own investment partnership in the mid 50’s.  It was essentially a hedge fund in most respects.  Without getting into too much of the details, Buffett was able to earn 20% more on average than the Down Jones Average annually until 1969.  The stock market at this time seemed to be overpriced in his estimation, so Buffett disbanded the partnership.  He referred his partners to Bill Ruane of the famed Sequoia Fund.  Bill was a former classmate of Warren, and he amassed quite a record himself.

So if we look at Buffett’s beginning career, he saw how doing your homework really paid off.  In fact, there are even stories that Ben Graham would use examples in his lectures about companies he was going to buy.  After class let out, all the students rushed to call, or see directly, their stock brokers to buy the companies Graham presented on.  Buffett learned from Graham the importance of valuing a company based upon verifiable evidence and not market sentiment.  Fisher’s lessons showed him the benefit of accumulating information from different sources in order to truly understand a business prior to investing.  These formative years are still with Buffett.  Now Charlie Munger, Buffett’s Vice Chairman at Berkshire Hathaway, has been an influence as well.  What is little known is that they grew up together in Omaha, Nebraska, and they were able to meet during this same time period.  This introduction to investing left an indelible mark on Warren Buffett that permeates his investing career today.

Obviously I am no Warren Buffett, but I started investing in mutual funds at age 13 in November 1987.  What got me so interested in the stock market?  Obviously Black Monday on October 19, 1987 really caught my attention.  It was not really the crash that really piqued my interest though.  My father told me that the market drop of 508 points on that day was an overreaction (down over 20% amazed me).  I did not know much about stocks, but it seemed to me like the world was ending.  At least that was how the nightly news portrayed things.  My father said watch the market over the next several days.  To my absolute amazement, the Dow Jones Industrial Average (DJIA) went up almost 290 points in the next two trading sessions.  Wow!  This turn of events was really weird to me.  How could stocks move around in value so greatly?  I thought that all the big money investors in the stock market really knew what they were doing.  However, most everyone was caught by surprise by Black Monday.  The other interesting thing for me was that 1987 turned out to be a positive year for the DJIA.  If you want to get your friends’ attention, you can ask them what the return of the DJIA was for 1987 and 1988 (negative return).  Most people will get it wrong.

Well, these events left a mark on me.  When I learned more about investing and was exposed to Modern Portfolio Theory (MPT) and the Efficient Market Hypothesis (EMT), I really did not think it was true given my start in investing back in the latter portion of 1987.  How could the value of the entire U.S. economy be worth 20% less after one day of trading?  Now, the stock market is normally efficient and stock prices are correct, but I knew that there were inflection points in the stock market where rationality was thrown out the door.  Therefore, when I learned about Mr. Market and the vicissitudes and vagaries of the stock market from Ben Graham’s books, I liked that metaphor and way to characterize volatility in the stock market.  For better or worse, I really do not care for the academic, ivory tower analysis of behavior in the stock market.  I cling more to focus investing, value investing, and seeing the financial markets as complex adaptive systems.  I would fall into the camp of Warren Buffett and the great hedge fund investor, George Soros.  Both men have said that they would never be able to pass the Chartered Financial Analyst (CFA) exam.  The CFA is now the standard designation for all portfolio managers of stocks and bonds.  I tried studying for it, but a lot of it made little sense to me.  I guess that is why I think it is funny when Buffett says he wants to gift money to universities to install permanent chairs in business schools to teach Modern Portfolio Theory forever.

Most of the financial professionals you meet will range in age from twenties to sixties.  You should always ask them when they started investing or their career as a Financial Advisor.  Here are the ten major events that will cover those individuals:

  • The 1973-1974 severe bear market;
  • The Death of Equities article from Business Week magazine in 1979;
  • Black Monday in October 1987;
  • The Bond Bubble Bursting in 1994;
  • The Asian Contagion and Long Term Capital Management (LTCM) incidents in 1997-1998;
  • The Barron’s article in December 1999 that questioned the relevance of the Oracle of Omaha, Warren Buffett;
  • The Bursting of the Internet Bubble in April 2001;
  • The Financial Crisis and ensuing Great Recession of 2008-2009;
  • The “Lost Decade” of Returns from the S&P 500 from 2001-2010 when stocks averaged approximately 2% annually.
  • Managing Money is Easy. Look at my investing record over the past 10 years (2009-2018).  Note that the annualized return of the S&P 500 index over that period was 13.13%.

These major inflection points in the financial markets will have a great effect on your financial professional’s recommendations for investment portfolio allocation.  In fact, I met a Financial Advisor that tells his clients that they can expect to earn 12% annually from stocks over the long term.  He uses this return for modeling how much clients need to invest for retirement.  He was introduced to investing around 1996 which is when the stock market went gangbusters.  I know another Financial Advisor that tells his clients to never put more than 50% of their money in common stocks.  He tells this to all of his clients, even if they are in their thirties and have 30+ years until retirement.  He started advising clients in 2007, and he lost a great many clients in 2008.  Therefore, he wants to have limited downside risk for two reasons.  First, he has seen how much the stock market can drop in one year.  Second, this gentleman wants to ensure that his clients to not close accounts and flee to other financial professionals because the stocks in their portfolio go down 30-40% in a single year.

The importance today of the long, extended bull market of the past 10 years is extremely important to take into account for all individual investors.  A recent stretch of 13.13% annualized stock returns makes it seem that investing systematically over the long term is the correct investment strategy.  I would not disagree with that thought.  However, Financial Advisors with 10 years of experience or less will only tell clients what they would do hypothetically in the event of a major market decline in the stock and bond markets.  Hypotheticals and backtesting are all well and good.  But it has been my experience, that there is no substitute for actually investing during periods of extreme volatility and major stock market declines (20% or more).  For example, what was the best stock investment strategy right after the Internet Bubble implosion in terms of the asset class?  The best performing asset class for the next decade was to have a larger than normal allocation to emerging market stocks (think Ticker Symbol EEM or VWO).  Do you think that your Financial Advisor would have the stomach to recommend this investment to you after seeing the NASDAQ index fall by over 50%?

As you can see, the start of anyone’s investing career has an impact on their outlook for the financial markets and how to set up a portfolio properly.  I am not saying that any of this advice is “wrong” per se.  My only point is that you need to probe your Financial Advisor a little bit to understand the framework he/she is working with.  Thus, you can refer to the aforementioned list of ten major events in the history of the financial markets.  These events really shape the investment paradigm of all of us.  And, of course, I will admit that I am no different.

With that being said, most investment strategies recommended by Financial Advisors are borne out of those individuals first few years with the financial markets.  Some financial professionals are more bullish than others.  Others focus on downside risk and limiting volatility in investment portfolios.  Still others utilize complicated mathematics to build investment portfolios that are optimized.  Therefore, you need to understand your risk tolerance and financial goals very well.  You have your own personal experience with the market.  If your Financial Advisor is somewhat myopic and focused on the past repeating itself in the same way over and over, you need to be careful.  History does repeat itself, but the repeating events will be caused by much different factors in most cases.  Unfortunately, the financial markets and market participants are always adapting to changing investment strategies, global economic GDP growth, interest rates, geopolitical events, stock price volatility, and a whole host of other things.  You can learn from the past, but I urge you not to be “stuck” in the past with your Financial Advisor’s “anchoring” cognitive bias at the expense of setting up an investment portfolio that will allow you to reach your financial goals and match your risk tolerance.

The First Key to Successful Stock Investing is Understanding and Accepting Reality – Updated

16 Wednesday Mar 2016

Posted by in asset allocation, Average Returns, bonds, business, college finance, Consumer Finance, Education, Emotional Intelligence, finance, finance theory, financial advice, financial goals, financial markets, financial planning, financial services industry, Geometric Returns, Individual Investing, individual investors, investing, investing advice, investing information, investing tips, investment advice, investments, math, personal finance, portfolio, risk, risk tolerance, statistics, stock market, Stock Market Returns, stock prices, stocks, Uncategorized, volatility

≈ Leave a comment

Tags

, , , , , , , , , , , , , , , , , , , , ,

This particular topic is so important that I decided to revisit it again. The discussion below adds further refinements and creates an even stronger tie to behavioral finance (i.e. how emotions affect investment decisions).  Additionally, for those of you who desire more in-depth coverage of the math and statistics presented, I have included that at the very end of this article.  Let’s delve deeper into this topic and what is meant by “reality”.

The first key to successful stock investing has more to do with your emotions than a fundamental understanding of what causes stocks to move up or down. Emotions about money can be a powerful thing and cause people to behave in irrational ways.  One of the most common phrases passed on to investors as a piece of wisdom is to “buy low and sell high”.  However, study after study has shown that most individual investors fail to heed that advice.  Why does this happen?  Well, I would submit the real cause is behavioral and based upon incomplete information.

Most individual investors are told when they start investing in stocks via mutual funds and/or ETFs to expect an annual return of 8% to 9% per year. You will find that many financial calculators to help you plan for retirement on the Internet have that as one of the inputs to calculate the growth of your portfolio over time.  While that information is not too far off the mark based upon historical returns of the S&P 500 stock index, the actual annual returns of stocks do not cooperate to the constant frustration and consternation of so many investors.

That brings us to the first key to successful stock investing:  The actual yearly returns of stocks very rarely equal the average expected.  The most common term for this phenomenon is referred to as volatility.  Stocks tend to bounce around quite a bit from year to year.  Volatility combines with the natural instinct of people to extrapolate from the recent past, and investing becomes a very difficult task.  I will get deeper into the numbers at the very end of the post for those readers who like to more fully understand the concepts I discuss.  I do need talk in general about annual stock returns at this point to expand upon the first key.

Below I have provided a chart of the annual returns of the S&P 500 index for every year in the 21st century:

 

Year % Return
2001 -11.90%
2002 -22.10%
2003 28.70%
2004 10.90%
2005 4.90%
2006 15.80%
2007 5.50%
2008 -37.00%
2009 26.50%
2010 15.10%
2011 2.10%
2012 16.00%
2013 32.40%
2014 13.70%
2015 1.40%

 

What is the first thing you notice when looking at the yearly returns in the table? First, you might notice that they really jump around a lot.  More importantly, none of the years has a return that is between 8% and 9%.  The closest year is 2004 with a return of 10.9%.  If the only piece of information you have is to expect the historical average over time, the lack of consistency can be extraordinarily frustrating and scary.  In fact, individual investors (and sometimes professional investors too) commonly look back at the last couple of years and expect those actual returns to continue into the future.  Therein lies the problem.  Investors tend to be gleeful when returns have been really good and very fearful when returns have been very low.  Since the average never comes around very often, investors will forget what returns to expect over the long run and will “buy high and sell low”.  It is common to sell stocks after a prolonged downturn and wait until it is “safe” to buy stocks again which is how the sound advice gets turned around.

I will not get too heavy into math and statistics, but I wanted to provide you will some useful information to at least be prepared when you venture out to invest by yourself or by using a financial professional. I looked back at all the returns of the S&P 500 index since 1928 (note the index had lesser numbers of stocks in the past until 1957).  The actual annual return of the index was between 7% and 11% only 5 out of the 88 years or 5.7%.  That statistic means that your annual return in stocks will be around the average once every 17 years.  The 50-year average annual return for the S&P 500 index (1966-2015) was approximately 9.8%.  Actual returns were negative 24 out of 88 years (27.9% of the time) and greater than 15% 42 out of 88 years (48.8% of the time).  How does relate to the first key of stock investing that I mentioned earlier (“The actual yearly returns of stocks very rarely equal the average expected”)?

Well, it should be much easier to see at this point. If you are investing in stocks to achieve the average return quoted in so many sources of 8% to 9%, it is definitely a long-term proposition and can be a bumpy ride.  The average return works out in the end, but you need to have a solid plan, either by yourself or with the guidance financial professional, to ensure that you stick to the long-term financial plan to reach the financial goals that you have set.  Knowing beforehand should greatly assist you in controlling your emotions.  I recommend trying to anticipate what you do when the actual return you achieve by investing in stocks is well below or quite high above the average in your portfolio.  Having this information provides a much better way to truly understand and your risk tolerance when it comes to deciding what percentage of your monies to allocate to stocks in my opinion.

When you look back at the performance returns for stocks, it makes more sense why investors do what they do from the standpoint of behavioral finance. That is how emotions affect (all too often negatively) investment decisions.  If an individual investor is told at the outset that he or she can expect returns of 8% or 9% per year, the actual annual returns of stocks can be quite troubling.  Having that information only leads to a general disadvantage.  When stock returns are negative and nowhere near the average, individual investors tend to panic and sell stocks.  When stock returns are quite higher than the average, individual investors tend to be more euphoric and buy even more stocks.  This affect is magnified when there are a number of consecutive years with one of those two trends.  If stock returns are essentially unchanged, most individual investors become disengaged and really do not even see the point of investing in stocks at all.

I believe it is extremely important to know upfront that stocks are likely to hit the average return once every 17 years. That statistic alone is a real shocker!  It lets individual investors truly see how “unusual” the average return really is.  Plus, there is a better explanation for fear and greed.  Stock market returns will be negative once every 4 years.  Keep in mind this does not even include stock returns that are below the average yet still positive.  Lastly, every other year the stock market returns will be above the average (in my case I was measuring above the average with the definition of that being a stock market return greater than 11%).  It is no wonder why individual investors get greedy when it looks like investing in the stock market is so easy after seeing such great returns.  Conversely, the occurrence of negative returns is so regular that it is only natural for individual investors to panic.  Since the average only comes around approximately once every two decades, that is why confusion abounds and investors abandon their long-term financial plans.

I will readily admit sticking to a long-term financial plan is not easy to do in practice during powerful bull or bear markets, but I think it helps to know upfront what actual stock returns look like and prepare yourself emotionally in additional to the intellectual side of investing.  Now I always mention that statistics can be misleading, conveniently picked to make a point, or not indicative of the future.  Nevertheless, I have tried to present the information fairly and in general terms.

Additional Information on Stock Market Returns (Discussion of Math and Statistics):

Please note that this information may be skipped by individual investors that are scared off by math in general or have no desire to dive deeper into the minutiae. One of the first things to be aware of is what expected returns for stocks are.  An expected return is what the most likely outcome would be in any particular year.  Expected returns provide misleading results when there is a high degree of variability in the entire dataset.  In the case of stock market returns, there is an incredible amount of variability.  The industry term for variability, which is the statistical term, is volatility.  Due to the fact that the expected return almost never happens, it would be wise for the financial services industry to truly and better define volatility.  Most individual investors do not know that there is far more of a range of possible outcomes for stock market returns.  Individual investors associate hearing average returns with some volatility from Financial Advisors or financial media in the same way as the classic “bell curve”.  As discussed in further detail above, the outcomes do not even come close to approximating the “bell curve”.

One important thing to be aware of when it comes to actual performance returns of an individual’s investment portfolio is that average/expected values are not very important. In fact, they really lead to a distorted way of looking at investing.  Average/expected values are based on arithmetic returns, where the overall growth in one’s investment portfolio is tied to geometric returns.  The concept of geometric returns is overlooked or not fully explained to individual investors.  Here is the perfect example of how it comes into play.  Let’s say you own one share of a $100 stock.  It goes down 50% in the first year and then up 50% in the second year.  How much money do you have at the end of the second year?  You have the original $100, right?

Not even close. You end up with $75.  Why?  At the end of the first year, your stock is worth $50 ($100 + $100*-50%) after decreasing 50%.  Since you begin the second year with only that $50, that is why you end up having $75 ($50 + $50 * 50%).  The average annual return is 0% ((-50% + 50%) divided by 2)) for the two-year period.  Whereas your geometric return is negative 13.4%.  Essentially that number shows what happened to the value of your portfolio over the entire timeframe and incorporates the ending value.  Think of it as having $100 + $100 * -13.4% or $86.60 at the end of year one and then $86.60 + $86.60 * -13.4%) or $75.  Note that you never actually have $86.60 as the portfolio’s value at any time, but the geometric return tells you how much money you actually earned (or lost) over the entire period and how much money you end up with, otherwise known as the terminal value of your portfolio.  The geometric return will ALWAYS differ from the arithmetic return when a negative return is introduced as one of the outcomes.  As an individual investor, your primary concern is the terminal value of your portfolio.  That is the dollar value you see on your brokerage statement and is the actual amount of money you have.

Financial professionals forget to focus on geometric returns or even bring them up to clients. This omission is important to individual investors because negative returns have an outsized effect on the terminal value of an investment portfolio.  For example, in the example above, it is quite clear that losing 50% and then gaining 50% do not “cancel each other out”.  The negative percent weighs down the final value of the portfolio.  That is why it is extremely important to use the geometric return of the portfolio.  This result is due to the fact that the compounding of interest is not linear.  It is a geometric equation which is why the geometric mean comes into play.  Without going fully into the explanation of those equations, the main takeaway for investors when it comes to annual returns is that negative returns have more of an effect than positive returns.

Taken together, it is important to utilize the concept of multi-year geometric averages. Individual investors never want to simply add up the annual returns of a series of years and then divided by the number of years.  That result will overstate the amount of money in the investment portfolio at the end of the period.  The preferred approach is to use the geometric average which is referred to as the annualized average return.  That percentage is the number most relevant to investors.  Additionally, longer timeframes of these returns are best to look at given the extreme amount of volatility in yearly stock market returns.  It gives a better picture of how the stock market has moved.

When looking at the stock market returns for the S&P 500 index over five-year periods using the period 2001-2015, they yield surprising yet informative results. The five-year returns from 2001-2005, 2006-2010, and 2011-2015 were 0.54%, 2.30%, and 12.57%, respectively.  Valuable information comes from looking at extended periods of time using the same time increment.  The overall return during 2001-2015 was 5.01%.  The effect of these longer timeframes smooths the stock market return data, but even then the stock market returns vary quite a bit.  Note that the overall return from the entire historical period of the S&P 500 index is roughly 9.50%.  These three selected chunks show two periods of underperformance and one year of outperformance.  The reason stock market returns tend to hover around the historical average is due to the fact that these returns are tied to the overall growth the economy (most commonly Gross Domestic Product – GDP) and corporate profits.  In the meantime though, stock market returns can vary a lot from this expected return.  However, they are unlikely to do so for incredibly long periods of time.

By incorporating the understanding of volatility and geometric returns into your understanding of the “reality” of stock market returns, you will be able to better refine your own risk tolerance and how to craft your long-term financial plan. A better grasp of these concepts makes one far less likely to react emotionally to the market, either with too much fear or too much greed.