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Category Archives: math

Reading And Listening – My Favorite Classical by Vitaliy Katsenelson

25 Thursday Mar 2021

Posted by wmosconi in academia, academics, active investing, active versus passive debate, after tax returns, after-tax returns, Alan Greenspan, alpha, asset allocation, Average Returns, bank loans, behavioral finance, benchmarks, Bernanke, beta, Black Swan, blended benchmark, bond basics, bond market, Bond Mathematics, Bond Risks, bond yields, bonds, books, Brexit, Brexit Vote, business, business books, CAPE, CAPE P/E Ratio, Charity, Charlie Munger, college finance, confirmation bias, Consumer Finance, correlation, correlation coefficient, currency, Cyclically Adjusted Price Earnings Ratio, Dot Com Bubble, economics, Education, EM, emerging markets, Emotional Intelligence, enhanced indexing, EQ, EU, European Union, Fabozzi, Fama, Fed, Fed Taper, Fed Tapering, Federal Income Taxes, Federal Reserve, finance, finance books, finance theory, financial advice, Financial Advisor, financial advisor fees, financial advisory fees, financial goals, financial markets, Financial Media, Financial News, financial planning, financial planning books, financial services industry, Fixed Income Mathematics, foreign currency, forex, Frank Fabozzi, Free Book Promotion, Geometric Returns, GIPS2013, Greenspan, gross returns, historical returns, Income Taxes, Individual Investing, individual investors, interest rates, Internet Bubble, investing advice, investing information, investment advice, investment books, market timing, math, Modern Portfolio Theory, MPT, NailedIt, NASDAQ, Nassim Taleb, Nobel Prize, Nobel Prize in Economics, passive investing, portfolio, PostBrexit, reasonable fees for financial advisor, reasonable fees for investment advice, reasonable financial advisor fees, rebalancing, rebalancing investment portfolio, recession, rising interest rate environment, risks of bonds, Robert Shiller, S&P 500, S&P 500 Index, Schiller, Search for Yield, Shiller P/E Ratio, speculation, standard deviation, State Income Taxes, statistics, stock market, Stock Market Valuation, stock prices, stocks, Suitability, Taleb, time series, time series data, types of bonds, Valuation, volatility, Warren Buffett, Yellen, yield, yield curve, yield curve inversion

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Reading And Listening – My Favorite Classical by Vitaliy Katsenelson
— Read on myfavoriteclassical.com/reading-and-listening/

THE FUTURE OF BUYING – XANT

23 Tuesday Mar 2021

Posted by wmosconi in academia, academics, active investing, active versus passive debate, after tax returns, after-tax returns, Alan Greenspan, alpha, asset allocation, Average Returns, behavioral finance, benchmarks, Bernanke, beta, Black Swan, blended benchmark, bond market, bond yields, Brexit Vote, bubbles, business, CAPE, Charity, Charlie Munger, college finance, confirmation bias, Consumer Finance, correlation, correlation coefficient, currency, Cyclically Adjusted Price Earnings Ratio, Dot Com Bubble, economics, Education, emerging markets, Emotional Intelligence, enhanced indexing, EQ, EU, European Union, Fabozzi, Fama, Fed, Fed Taper, Fed Tapering, Federal Income Taxes, Federal Reserve, Fiduciary, finance books, finance theory, financial advice, Financial Advisor, financial advisor fees, financial advisory fees, financial markets, Financial Media, Financial News, financial planning, financial planning books, financial services industry, Fixed Income Mathematics, foreign currency, forex, Forward P/E Ratio, Frank Fabozzi, Free Book Promotion, fx, Geometric Returns, GIPS, GIPS2013, Greenspan, gross returns, historical returns, Income Taxes, Individual Investing, individual investors, interest rates, Internet Bubble, investing, investing advice, investing books, investing information, investment advice, investment advisory fees, investments, Irrational Exuberance, LIBOR, market timing, Markowitz, math, MBS, Modern Portfolio Theory, MPT, NailedIt, NASDAQ, Nassim Taleb, Nobel Prize, Nobel Prize in Economics, P/E Ratio, passive investing, personal finance, portfolio, Post Brexit, PostBrexit, probit, probit model, reasonable fees, reasonable fees for financial advisor, reasonable fees for investment advice, reasonable financial advisor fees, rebalancing, rebalancing investment portfolio, recession, rising interest rate environment, rising interest rates, risk, risk tolerance, risks of bonds, risks of stocks, S&P 500, S&P 500 historical returns, S&P 500 Index, Schiller, Search for Yield, Sharpe, Shiller P/E Ratio, sigma, speculation, standard deviation, State Income Taxes, statistics, stock market, Stock Market Returns, stocks, Suitability, Taleb, time series, time series data, types of bonds, Valuation, volatility, Warren Buffett

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Digital disruption has changed the buyer’s journey. Know who, when, and how to engage for the best results.
— Read on resources.xant.ai/resources/the-future-of-buying/

Navigating an Ocean of ESG Strategies | Morningstar

10 Wednesday Mar 2021

Posted by wmosconi in active investing, active versus passive debate, asset allocation, behavioral finance, benchmarks, blended benchmark, business books, CAPE, CAPE P/E Ratio, college finance, confirmation bias, Consumer Finance, correlation coefficient, Cyclically Adjusted Price Earnings Ratio, finance theory, financial advice, Financial Advisor, financial advisor fees, financial advisory fees, financial goals, financial markets, Financial Media, Financial News, financial planning, financial planning books, financial services industry, historical returns, Income Taxes, Individual Investing, individual investors, interest rates, investing, investing advice, investing books, investing information, investing tips, investment advice, investment advisory fees, investments, Irrational Exuberance, market timing, Markowitz, math, Modern Portfolio Theory, MPT, NailedIt, Nassim Taleb, Nobel Prize, Nobel Prize in Economics, P/E Ratio, passive investing, portfolio, Post Brexit, PostBrexit, reasonable fees for financial advisor, reasonable fees for investment advice, reasonable financial advisor fees, rebalancing, rebalancing investment portfolio, rising interest rate environment, rising interest rates, risk, risk tolerance, risks of bonds, risks of stocks, Robert Shiller, S&P 500, S&P 500 historical returns, S&P 500 Index, Sharpe, Shiller P/E Ratio, Stock Market Returns, Stock Market Valuation, stock prices, stocks, Suitability, time series, time series data, volatility, Warren Buffett, yield curve

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Here’s a simple framework to make sense of what’s available.
— Read on www.morningstar.com/articles/1025928/navigating-an-ocean-of-esg-strategies

State of the ETF Industry

04 Thursday Mar 2021

Posted by wmosconi in alpha, asset allocation, Charlie Munger, Fama, Fed, finance, finance books, finance theory, financial advice, Financial Advisor, financial advisor fees, financial advisory fees, financial goals, financial markets, Financial Media, Financial News, financial planning, financial planning books, foreign currency, Forward P/E Ratio, Frank Fabozzi, historical returns, Individual Investing, individual investors, Internet Bubble, investing advice, investing books, investing information, investing tips, investment advice, investment advisory fees, investment books, investments, Irrational Exuberance, LIBOR, market timing, math, Uncategorized

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We review the growth of the ETF industry year-to-date, as well as over the past 12 months.
— Read on blog.etfthinktank.com/blog/state-of-the-etf-industry

Hedge funds rush to get to grips with retail message boards | Financial Times

29 Friday Jan 2021

Posted by wmosconi in active versus passive debate, asset allocation, behavioral finance, beta, Black Swan, blended benchmark, bond market, Bond Mathematics, Bond Risks, bond yields, book deals, Brexit, business books, CAPE, Charlie Munger, cnbc, Consumer Finance, correlation, correlation coefficient, economics, enhanced indexing, EQ, EU, Fabozzi, Fama, Fed, Federal Reserve, Fiduciary, finance, finance theory, financial advice, financial advisor fees, financial advisory fees, financial markets, Financial Media, Financial News, financial services industry, Forward P/E Ratio, Frank Fabozzi, Geometric Returns, GIPS, Greenspan, gross returns, historical returns, Individual Investing, individual investors, interest rates, Internet Bubble, investing, investing advice, investing books, investing information, investing tips, investment advice, investment books, Irrational Exuberance, LIBOR, market timing, Markowitz, math, MBS, Modern Portfolio Theory, MPT, Nassim Taleb, Nobel Prize, P/E Ratio, passive investing, personal finance, portfolio, Post Brexit, probit, probit model, reasonable fees, reasonable fees for financial advisor, reasonable fees for investment advice, reasonable financial advisor fees, rebalancing, rebalancing investment portfolio, rising interest rate environment, rising interest rates, risk, risk tolerance, risks of bonds, risks of stocks, Robert Shiller, S&P 500, S&P 500 historical returns, S&P 500 Index, Schiller, Search for Yield, Sharpe, Shiller P/E Ratio, speculation, standard deviation, State Income Taxes, statistics, stock market, Stock Market Returns, Stock Market Valuation, stock prices, stocks, Taleb, time series, time series data, types of bonds, Valuation, volatility, Warren Buffett, Yellen, yield, yield curve, yield curve inversion

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Professional speculators start efforts to scrape data from Reddit to avoid assaults
— Read on www.ft.com/content/04477ee8-0af2-4f0f-a331-2987444892c3

Breakthrough Drugs, Statistics, and Anecdotes: Three Things Every Individual Investor Needs to Know – Part 1 of 3

11 Monday Nov 2019

Posted by wmosconi in asset allocation, Education, financial advice, financial goals, financial markets, Financial Media, Financial News, financial planning, financial services industry, investing, investing advice, investing information, investing tips, investment advice, investments, math, personal finance, portfolio, S&P 500, S&P 500 Index, statistics, time series, time series data

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asset allocation, Financial Media, Financial News, financial planning, investing, investing advice, investing information, investing tips, noise, statistics, time series, time series data

Although the title might appear to be random at first glance, I promise that there is an underlying theme.  This article is the first in a three-part series that will discuss how individual investors are bombarded with information about what happens in the financial market.  Most of the time you might hear that, 5 out of the last 7 times “x” happened, the S&P 500 index went up by 10% or more.  I will argue that most of these types of comments might be useful trivia for the television show, Jeopardy; however, they should not impact your long-term investment plan.

So, why did I use breakthrough drugs?  Prior to any drug coming to the marketplace, the FDA does a very thorough review of the test results to ensure that the drug is safe and also its efficacy is not overstated.  What if I told you that a pharmaceutical firm came up with a possible cure for lung cancer, and there were successful trials of 10 individuals.  Does that sound like a group too small to draw any conclusions?  Would you take a drug that the testing was only done on a handful of people?  Now the FDA would never allow such a thing, and there are tons of protocols and blind or double-blind randomized testing of many individuals.  It just sounds weird if only 10 people were tested, and there was also no control group (i.e. a separate group given a placebo).

While the drug example seems a bit outrageous and contrived, I bet you can think of similar examples in the daily financial press (e.g. financial television or print media).  Whenever you hear a small number of events happening that “tend to” lead to certain financial market outcomes, you should be extremely wary.  For instance, I just heard today that, after the Singles Day huge ecommerce sale by Alibaba, the stock (Ticker Symbol:  BABA) is up 80% of the time over the course of the next two weeks.  Well, when did Alibaba start Singles Day?  The first Singles Day sale was in 2009.  Therefore, we have 10 data points to work with (2009 to 2018).  Given the information I referred to above, the comment made today simply says that the stock has been up after two weeks 8 out of the last 10 years.  Now I will try to hold in my red flags and bit of ludicrous thoughts, this type of information is not informative at all.  There are just too few observations to draw any sort of valid conclusion.

Here is the plan of attack for the next two articles.  The second part of this discussion will focus on statistics.  Yes, I know this topic is not too much fun and can get complicated very quickly.  However, individual investors need to know a bit about statistics to recognize when a quantitative quote is totally useless.  We will not get too granular though, I promise.  Essentially most financial market data is time series data.  Different rules apply in that case, and these rules are broken all the time by even the most sophisticated professional investors and commentators.  The third part of this discussion will be an in-depth examination of an actual event that grounds my argument in recent events.  I will examine what is called the inversion of the yield curve and how it normally portends a recession for the U.S. economy.  Don’t worry; I am going to explain those terms when the third part of this series rolls around.

Please join me in a critical review of all the financial market and economic data you get bombarded with.  So much of it is just “noise” or simply interesting trivia at best.  Note that the interesting trivia cannot guide or inform your particular asset allocation of investments.  As always, if you have questions along the way, please feel free to comment on this or any other article.

How to Become a Successful Long-Term Investor – Summary

30 Monday Sep 2019

Posted by wmosconi in asset allocation, behavioral finance, correlation, correlation coefficient, Dot Com Bubble, Emotional Intelligence, EQ, financial advice, Financial Advisor, financial goals, financial markets, financial planning, financial services industry, historical returns, Individual Investing, individual investors, investing, investing advice, investing information, investing tips, investment advice, investments, market timing, math, 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 Returns, stock prices, stocks, volatility

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asset allocation, behavioral finance, education, finance, historical stock returns, investing, investments, math, mathematics, performance, performance monitoring, portfolio, portfolio management, S&P 500, S&P 500 historical returns, S&P 500 Index, statistics, stock returns, stocks, success, successful long term investing, trading, uncertainty

The discussion of how to become a successful long-term investor in my three-part series is now finished.  However, the journey is an ongoing one that takes discipline, constant learning, and monitoring your emotional reactions to fluctuations in the financial markets.  I discussed the history of stock market returns of the S&P 500 Index (dividends reinvested) from 1957-2018, the concept of risk, and also the futility of trying to engage in “market timing”.  But you may be asking yourself, why didn’t you tell me what stocks, bonds, and other assets to buy to build my investment portfolio?  That is a valid question, and there is an extremely important reason why that gets at the very heart of my overall discussion.

The best way to answer the question posed above is with an analogy.  Now my international readers will have to indulge me with this example.  My favorite sport is football which is the most popular sport in the world.  Most people in the United States refer to it as soccer and only watch if the men’s or women’s teams are competing in the World Cup.  I could tell you all about the reasons why football clubs rarely use a 4-4-2 formation.  Or I could talk about how the 4-2-3-1 formation has evolved in the Bundesliga.  We also could discuss why goalies now need to be good with their feet in order to pass from the backline.  Finally, I might even be more specific and give my rationale for why Liverpool in the Premier League uses a 4-4-3 formation given their current squad for the 2019-2020 season.

My analogy above relates to long-term investing because I would argue that you should not invest a single dollar in the stock or bond markets without knowing about the history of returns, risks and volatility, and “market timing”.  Most Financial Advisors (FAs), Certified Financial Planners (CFPs), and Registered Investment Advisors (RIAs) jump right into the discussion of how to build an investment portfolio taking into account your financial goals and risk tolerance.  This conversation is directly related to the football analogy above.  Without a firm understanding of investing at a high level (or the general way football is played first), you are likely to fail in your resolve to stick with a long-term focus while investing.  For example, when you are asked if you can tolerate a 20% decline in the stock market, how should you answer?  I would say that, if you do not have some grasp of historical returns and the level of risk, you cannot properly answer.  Remember that we covered how often you will experience negative returns (including 20% declines) in the first article.  You need to understand the “composition of the forest before deciding how to deal with the trees”.

Here are the links to the three articles to have an understanding of first prior to jumping into the mix of long-term investing strategy and building an actual portfolio of investments.

Part 1 – Understanding Historical Stock Market Returns:

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

Part 2 – Understanding and Managing Risk:

https://latticeworkwealth.com/2019/09/25/successful-long-term-investor-risk/

Part 3 – Giving up on the Allure of “Market Timing”:

https://latticeworkwealth.com/2019/09/28/successful-long-term-investing-market-timing/

Once you have a firm grasp on these topics, you are ready to get your feet wet in the world of investing.

For those of you wanting a little bit of guidance because your intention is the manage your investments personally, I have written about this topic in the past.  I wrote a two-part series on how to build an investment portfolio and monitor the performance returns of that investment portfolio.  I have included the links below:

Part 1 – Building an Investment Portfolio:

https://latticeworkwealth.com/2013/07/16/how-to-create-an-investment-portfolio-and-properly-measure-your-performance-part-1-of-2/

Part 2 – Monitoring the Performance of an Investment Portfolio:

https://latticeworkwealth.com/2013/07/19/how-to-create-an-investment-portfolio-and-properly-measure-your-performance-part-2-of-2/

Those two articles above will provide you with some ways to go about creating your own investment portfolio without the assistance of a financial professional.  While it does contain a lot of information and suggestions, individual investors who are complete novices may find it easier and less confusing to seek out someone to guide them with investment selection, measuring risk tolerance, and understanding the goals of their financial plan.

In summary, I appreciate you taking the time to read my thoughts in regard to successful long-term investing.  As you can see successful investing has more to do with preparation, setting realistic expectations, and knowing how you personally respond to risk.  These topics need to be studied prior to investing money yourself or before going to seek out investment advice from a financial professional.  If you have any questions, comments, feedback, or disagreements, you can feel free to let me know.

How to Become a Successful Long-Term Investor – Part 3 of 3 – The Folly of Market Timing

28 Saturday Sep 2019

Posted by wmosconi in Alan Greenspan, asset allocation, Average Returns, behavioral finance, bubbles, correlation, correlation coefficient, Dot Com Bubble, finance, finance theory, financial goals, financial markets, Financial Media, Financial News, financial planning, Greenspan, historical returns, Individual Investing, individual investors, Internet Bubble, investing, investing advice, investing information, investing tips, investment advice, investments, Irrational Exuberance, market timing, math, personal finance, portfolio, risk tolerance, risks of stocks, S&P 500, S&P 500 historical returns, S&P 500 Index, statistics, stock market, Stock Market Returns, Stock Market Valuation, stock prices, stocks, Valuation, volatility

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asset allocation, behavioral finance, bubbles, correlation, correlation coefficient, finance, invest, investing, investing blogs, investing strategies, investing tips, investment advice, investments, long term investing, long-term investor, market timing, math, mathematics, portfolio, statistics, stocks, successful investor, trading, uncertainty, volatility

This article is the third and final post in my three-part series on learning how to be a successful long-term investor.  The general theme underlying all of the topics has been developing enough of an understanding of the stock market gyrations and sometimes wild ride to form reasonable expectations at the outset.  Those expectations lead directly into to developing a long-term investment strategy and plan that you are much more likely to stick with through “thick and thin” because you know what is coming.  Of course, you will not know the order in which the ups and downs may come, but you will have a ton of information helpful to be much less likely to lose your nerve or get overly excited.

The last topic will be about “market timing”.  We will delve deeply into the concept and see how very difficult it has been in the past, and, I believe, will continue to be for the foreseeable future.  Now the discussion to follow will be entirely self-contained; however, it might be helpful to take a look at the first two articles to have additional context.  The opening topic was an overview of the history of stock market returns using the S&P 500 Index (dividends reinvested).  Here is a link to that post:

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

The second topic was a discussion about the concept of risk.  We explored how it is normally defined, ways that you can gauge your tolerance for risk given the information from the first post, and explored some methods/mindsets to reduce risk in your investment portfolio.  Here is a link to that post:

https://latticeworkwealth.com/2019/09/25/successful-long-term-investor-risk/

So now, we will turn to the topic for the last article.  As mentioned above, we are going to take a look at “market timing”.  In general, the idea of “market timing” is to develop ways to be able to buy stocks when they are very undervalued and also sell stocks right near the market peak to avoid a big downturn.  There are certain variations where an investor is not necessarily trying to time the most opportune time but trade along with the momentum of the stock market and anticipating the next movement prior to other stock market participants.

“Market timing” is notoriously difficult to do.  But you will see considerable time devoted every day to financial market television and periodicals advising individual investors what trades to make.  I would submit that following things and pundits on a daily basis adds to “noise” and “information overload”.  Additionally, for every guest that predicts a big leg up in the market, there will be another guest later in the day who tells you that we are in a bubble and stocks will drop dramatically soon.

Another lesser talked about item is the main guests that are invited to speak on television or are quoted in financial periodicals.  Typically, the guest introduction will be prefaced by this man/woman predicted the last major move in the stock market and we are so lucky to have him/her back again.  While these guests are great to hear from, there is a severe amount of “selection bias”.  What do I mean by “selection bias”?  You will rarely see a guest brought on to be lambasted for a prediction that never came to fruition or was just flat out wrong.  The vast majority of guests on television or market experts in financial articles will be the ones who made a very prescient call on the direction of the stock market.

The promise of “market timing” is still so enticing.  It normally relates to the fear of losing money or the greed of just not wanting to miss the next big bull market trend upward in the stock market.  However, the ability to call the market tops or bottoms has proven to be pretty much a 50/50 flip of the coin (now I am being generous at that).  One of the examples that I love to give is the coining of the term “irrational exuberance”.  The former chair of the Federal Reserve, Alan Greenspan, used that new term to state that the stock market was in what he thought was a bubble.  Little do people remember, but he first gave the speech in December 1996 to refer to what would become the Dot.Com bubble and bust.  Greenspan was proven right but the top of that bubble occurred in March 2000.  I use that example because irrational activity in the markets can persist for much, much longer than you might expect.

So, now I know that some people reading this post will be able to point to experts who made the great calls or even their own calls on the direction of the stock market.  Well, I will start off the discussion by showing that “market timing” is indeed somewhat possible.  But it takes much longer periods of time than you might think at first.  Here is how we will proceed in the analysis.  I discussed how the long-term historical average of the S&P 500 Index from 1957-2018 has been 9.8%.  It would seem logical then that, if stock market returns were below that average or above that average for a certain length of time, you could just do the opposite figuring that stock market returns would eventually trend back to that average (in the jargon reversion to the mean).

The problem is, as I briefly mentioned in the last paragraph, that the time period needs to be so long that it is almost untenable for individual investors to practically implement.  In fact, we have to use 15-year annualized returns to illustrate the theory.  So, if the stock market has been below/above trend, we will buy/sell because an inflection point has to come.  Let’s take a look at it graphically to drive the point home:

Fifteen Year Correlation

In the graph depicted above, we have exactly the returns we would like to see.  The blue dots are the past 15 years of stock market returns, and the orange dots are the next 15 years of stock market returns.  The dots are what we would term to have an inverse relationship.  In fact, for all of you somewhat familiar with statistics, the correlation coefficient is -0.857.  Therefore, there is a really strong relationship here that leads us to the promise of “market timing”.  Should we give up on it so early?

The problem with “market timing” is that, for any length of time less than 15 years of annualized stock returns, there really is no relationship (at least no actionable trading of stocks for your investment portfolio).  Let’s take a look at the same concept in the first graph with a look at one-year and three-year current and then future returns:

One Year Correlation

Three Year Correlation

Using the one-year and three-year current and then future stock market returns of the S&P 500 Index, our dots just kind of do not follow a discernable pattern.  Again, for the statistically inclined folks out there, the correlation coefficients are -0.10 and -0.041, respectively.  As always, we won’t get too waded down into the mathematical weeds but a correlation coefficient close to 0 means that there is essentially no correlation/relationship between the two.  To make an analogy, you can think of what is the correlation between birds in your backyard and the number of jars of pickles for sale at your local grocery store?  Well, there should be no relationship whatsoever.  Even if there were, it would not make any sense.  In our case here, there is at least some logic underlying our premise of the most recent return on the S&P 500 Index and the future returns over that same time period.  As we see though, there is really nothing actionable to embark upon for individual investors to properly engage in “market timing”.

Before we totally give up on “market timing”, we can take a look at the same charts but extending the time periods to five years and ten years.  Let’s take a look at those two graphs:

Five Year Correlation

Ten Year Correlation

The correlation coefficient for the five-year chart is 0.028, so we cannot really use that long of a time period either.  I will admit that the ten-year chart looks a little more promising.  We have a graph that looks somewhat more like the fifteen-year graph that I started off with.  In fact, the correlation coefficient is -0.276.  And a negative number is what we want to see in order to try “market timing”.  Unfortunately, the number is really not strong enough to not get caught.  By this I mean, we can see that “market timing” would have worked from 1975-1985 and also from 1990-2001 roughly.  However, 1965-1975 has a grouping of returns that don’t work and 2002-2008 has mixed results as well.  Note that there are less data points because there needs to be at least 10 years of future returns in order to compare the current record of 10-year annualized returns with what the next 10 years of stock returns will end up being.

Overall, we have seen that “market timing” in the short term (even as defined out to five years) does not really have much, if any, predictive power.  Therefore, if you make decisions related to “market timing” based upon how the stock market has performed in any time period five years or less, it is clearly a “fool’s errand” or incredibly difficult to do.  And by the latter, I mean that you can reliably do so over more than one major change in market direction.  The majority of market pundits that you will see or read about have made one correct call which is not nearly enough to judge his/her investing acumen related to “market timing”.

I will close out the discussion of “market timing” by using the Financial Crisis and ensuing Great Recession.  Many folks correctly called (or were proven right without the reason for the bubble matching their investment thesis) this major stock market inflection point.  They correctly saw the unsustainable bubble in housing, the rise of financial stocks, and the buildup of toxic securities like subprime loans.  However, many of those same individuals never changed their investment thesis and failed to tell individual investors to return to the stock market and buy.  Essentially there are still folks that will tell you we are in a bubble.  Now I am not bold and/or grandiose enough to weigh in on the current value of the stock market.  But you need to know that most of the people who call a wicked crash in stocks or a massive bull market do not change their investment thesis prior to the next big turn.

For example, let’s say that you learned about stock investing 10 years or so ago and decided to invest $1,000.00 in the S&P 500 Index toward the end of October 2007.  And yes, this was the absolute worst time to invest in stocks.  Sadly, by March 2009, you would have lost 50% of your investment and have only $500.00 at that point in time.  You might feel great if you listened to someone who called the top and told you that the fourth quarter of 2007 was the absolute worse time to buy stocks.  But I am willing to bet that this same person would not have told you when it was “safe” to invest again.  If you knew to expect bouts of extreme volatility in the stock market beforehand, you could have kept your money in the stock market.  At the end of December 2018, you would have had $1,712.36 using our 13.1% 10-year annualized return over that time.  If the original market predictor of catastrophe told you to just keep your $1,000.00 in the bank you would have $1,160.54 (assuming generously that you could earn 1.50% over the ten years in your bank saving account).  Adjusting the hypothetical investor who simply kept his/her money in stocks back to inflation, he/she would have $1,404.73 (assuming 2.0% inflation over the last 10 years which is higher than was actually experienced).  At the end of December 2018, you would have a bit more than 21% higher in inflation-adjusted dollars than the person who just never invested (or took his/her money out of stocks right at the end of October 2007 but never returned to stocks).

Now I will admit that my hypothetical scenario would have tried the “intestinal fortitude” of the most seasoned professional investors after seeing a 50% market drop over 1.5 years.  My only point with the example is that, even if you could not have held your nerve to remain invested in stocks over the Financial Crisis, the investment pundit(s) who tells you the exact top with a brilliant prediction also needs to tell you when to invest or sell again in the future (i.e. “market timing”).  Rarely will you see such a prognosticator that can totally change their investment thesis to get the next call right.  You are much better off abstaining from “market timing” and sticking to your long-term investment strategy.  Of course, that may indeed call for selling or buying a portion of stocks at certain given points to change your investment portfolio allocation to match your risk tolerance and financial goals.  But trying to utilize “market timing” to be in and out to experience hardly any losses and capture all the gains is just not realistic, so you might as well discard the entire investment strategy of “market timing”.

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

25 Wednesday Sep 2019

Posted by wmosconi 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

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academia, academics, behavioral finance, finance, financial, historical stock returns, invest, investing, investments, math, mathematics, Modern Portfolio Theory, MPT, performance, portfolio, portfolio management, S&P 500, S&P 500 historical returns, S&P 500 Index, standard deviation, statistics, stock market, stock returns, stocks, success, uncertainty

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).

Bonds Have Risks Other Than Rising Interest Rates. Dividend Stocks are not Substitutes for Bonds.

24 Sunday Jul 2016

Posted by wmosconi in academics, asset allocation, bond basics, bond market, Bond Mathematics, Bond Risks, bonds, Fabozzi, finance, finance theory, financial advice, Financial Advisor, financial goals, financial markets, Financial Media, financial planning, financial services industry, Fixed Income Mathematics, foreign currency, Frank Fabozzi, Individual Investing, individual investors, interest rates, investing, investing advice, investing information, investing tips, investment advice, investments, math, MBS, personal finance, rebalancing, rebalancing investment portfolio, rising interest rate environment, rising interest rates, risk, risks of bonds, Search for Yield, statistics, types of bonds, volatility, yield

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The main reason why Financial Advisors are recommending that individual investors sell bonds is that interest rates are likely to rise over the next 3-5 years or more.  Although those sentiments have been a familiar refrain over the last 3-5 years though.  Well, I would tend to agree that interest rates are poised to rise at some point toward the end of this decade.  However, interest rate risk is only one of the risks of bonds.  In fact, the size of the bond market dwarfs the stock market.  When Financial Advisors are talking about bonds, they tend to be referring only to US Treasury bonds, corporate bonds, and municipal bonds.  Interest rate risk greatly affects these bonds indeed.  With that being said, they tend to conflate the interest rate risk of these bonds with the entire bond market.  Remember that interest rates have dropped from 16.30% on the 1-month US Treasury bill back in 1981 to roughly 0.25% today.  Therefore, bond prices have been rising for over 35 years and most financial professionals outside of the fixed income markets have forgotten (or if they are younger than 50) how bonds normally work, especially in a rising interest rate environment.

But does it even matter really? Yes.  Here is an urgent note to all individual investors:  “Beware of financial professionals that recommend dividend stocks or other equities as replacements for your fixed income allocation”.  What I mean by this is that the volatility of stocks is far greater than bonds historically.  Yields may be very low in money market funds, US Treasuries, and in bond mutual funds now.  However, your risk tolerance must be taken into account at all times.  While it is true that many dividend-paying stocks offer yields of 3% or more with the possibility of capital appreciation, there also is significant downside risk.  For example, as most people are aware, the S&P 500 index (which represents most of the biggest companies in America) was down over 35% in 2008.  Many of those stocks are included in the push to have individual investors buy dividend payers.  With that being said, stock market declines of 10%-20% in a single quarter are not that uncommon.  If you handle the volatility of the stock market well, there is no need to be concerned.  However, a decline of 10% for a stock paying a 3% dividend will wipe out a little more than 3 years of yield.  Individual investors need to realize that swapping traditional bonds or bond mutual funds is not a “riskless” transaction, meaning a one-for-one swap.  The volatility and riskiness of your portfolio will go up commensurately with your added exposure to equities.  Sometimes financial professionals portray the search for yield by jumping into stocks as the only option given the low interest rate environment.

While your situation might warrant that movement in your portfolio allocation, you need to be able to accept that the value of those stocks is likely to drop by 10% or more in the future just taking into account normal volatility in the stock market historically (every 36 months or so in any given quarter).  Are you able to handle that volatility when looking at your risk tolerance, financial goals, and age?The purpose of this blog post is to discuss the risk factors associated with bonds in greater detail.  Most bonds, such as Treasury notes and bonds, corporate bonds, and municipal bonds, will go down in value when interest rates go up.  Conversely, they will go up in value when interest rates decrease.  This characteristic of these types of bonds is called an inverse relationship.  For a primer on how most bonds function normally, I have posted supplementary material alongside this post.  You can refer to it to brush back up on bonds and how they work, and I also provide a historical look at interest rates over the last 35 years.  Here is the link to that prior blog post:https://latticeworkwealth.com/2014/01/02/a-bond-is-a-bond-is-a-bond-right-should-you-sell-bonds-to-buy-stocks-supplementary-information-on-how-bonds-work/

There are many risk factors associated with investments in bonds.  A great overview of those risks can be found in Fixed Income Mathematics the Fourth Edition by Dr. Frank Fabozzi who teaches at Yale University’s School of Management.  Most fixed income traders, portfolio managers, and risk managers use his Handbook of Fixed Income Securities as their general guidebook for approaching dealing with the trading, investing, and portfolio/risk management of owning fixed income securities.  Suffice it to say that he is regarded as one of the experts when it comes to the bond markets.  Dr. Fabozzi summarizes the risks inherent in bonds on page 109 of the first text referenced above.  The risks are as follows:

  • Interest-rate risk;
  • Credit risk;
  • Liquidity risk;
  • Call or prepayment risk;
  • Exchange-rate risk.

Most of fixed income folks and myself would add inflation risk, basis risk, and separate credit risk into two components.  Bonds have two types of risk as it relates to payment of principal and interest.  The first risk is more commonly thought of and referred to as default risk.  Default risk is simply whether or not the company will pay you back in full and with timely interest payments.  Credit risk also can be thought of as the financial strength of the company.  If a company starts to see a reduction in profits, much higher expenses, and drains of cash, the rating agencies may downgrade their debt.  A downgrade just means that the company is less likely to pay back the bondholder.Here is an example to illustrate the difference more fully:  a company may have a AA+ rating from Standard & Poor’s at the beginning of the year, but, due to events that transpire during the year, the company may get downgraded to A- with a Negative Outlook.  Now the company is still very likely to pay back principal and interest on the bonds, but the probability of default has gone up.  As a point of reference, AAA is the highest and BBB- is the lowest Standard & Poor’s ratings to be considered investment grade.  You will note that the hypothetical company would need to be downgraded four more times (BBB+, BBB, BBB- to BB+) to be considered non-investment grade or a “junk” bond.   Bond market participants though will react to the downgrade though because new potential buyers see more risk of default given the same coupon.  So even though the company may not default eventually on the actual bond, the price of the bond goes up to compensate for the interest rate required by the marketplace on similarly rated bonds to attract buyers.Now I will address the full list of risks affecting bonds outlined by Dr. Fabozzi above.  Any bond is simply an agreement between two parties in which one party agrees to pay back money to the other party at a later date with interest.

All bonds have what is referred to as credit (default portion) risk.  Credit risk in general is simply the risk one runs that the party who owes you the money will not pay you back (i.e. default).  What is lesser known or thought about by individual investors is interest-rate risk and inflation risk.  These two risks are usually missed because investors tend to think that bonds are “safe”.  Interest-rate risk relates to the fact that interest rates may rise, while you hold the bonds (spoken about at length in the beginning of this blog post).  When financial pundits make blanket statements about selling bonds, they are referring to this one risk factor normally.  Inflation risk means that inflation may increase to a level higher than your interest rate on the bond.  Thus, if the interest rate on your bond is less than inflation or closer to inflation from when you bought the bond, your purchasing power goes down.  The prices of goods and services go up faster than the interest you earn on the bond.  Call risk refers to instances where some companies have the option to redeem your bonds in the future at an agreed upon price.  This is normally done only when interest rates fall. Prepayment risk is a more specialized case of call risk and refers to people paying their mortgages (or credit cards, home equity loans, student loans, etc.) back sooner than expected.  Most people group these two risks into a category called reinvestment risk.  Think about the concept in this manner:  many people refinanced their mortgages because interest rates went down.  They did so because they could lower their total mortgage payment.  Well, companies do the same thing if they have the option.  Companies can redeem bonds at higher interests and issue new bonds at lower interest rates.  Chances are that, if you are the owner of the redeemed bonds, you will be unable to find as high of an interest payment currently if you want to buy a bond with similar characteristics of the company issuing the bonds you own before.The other three risks I mentioned above are less commonly discussed and not quite as important.

Exchange-rate risk exists because sometimes a company issues bonds in a currency other than its own.  For example, you will sometimes hear the terms Yankee bonds or Samurai bonds.  Since the company is paying you interest and principal in a foreign currency that money may be worth more or less depending on what happens in foreign exchange markets in the future.

Liquidity risk refers to the phenomenon that there are certain crisis times in the market where very few, if any bond market participants, are willing to buy the bonds you are trying to sell.  Therefore, you might have to take a bigger loss in order to entice someone to buy the bonds given the current macro environment.

Basis risk is a more obtuse type of risk that institutions deal with.  Basis risk essentially refers to anytime when interest rates on your bond are pegged to another interest rate that is different but normally behaves in a certain way (referred to as correlation).  Now most of the time, the behavior will follow the historical pattern.  However, during times of stress like a liquidity and/or credit crisis, the correlations tend to break down.  Meaning you can think you are “hedged” but, if the historical relationship does not hold up, your end return will be nothing like what you had expected.  These two risks are not something that individual investors need to focus on for the most part, since these types of bonds are not normally owned by them.I will admit that this list is quite lengthy and, quite possibly, a bit too detailed and/or complicated.  However, I wanted to lay them all out for you.  Why?  When you hear Financial Advisors recommend that you sell a large portion of your bonds, and/or hear the same investment advice from the financial media, they normally are really only referring to interest-rate risk primarily and secondarily inflation risk as well.  As you can see from the description above, the bond market is far more complex than that to make a blanket statement.Now, as I usually say, I would never advise individual investors to take a certain course of action in terms of selecting specific bonds or not selling bonds to move into more stocks.  However, I am saying that you should feel comfortable enough to ask your Financial Advisor why he/she recommends that you sell a portion of your bonds.  If the answer relates only to interest-rate risk, I would probe the recommendation further.  You can explain that you know that is the case for Treasury notes/bonds, municipal bonds, and corporate bonds.  However, there are a whole host of other fixed income securities with different characteristics and risks.  Now I am not referring solely to Mortgage Backed Securities (MBS), although the residential and commercial markets for these are in the trillions of dollars.  There are bonds and notes that have floating interest rates which means that as interest rates go up, the interest rate you receive on that security goes up.  Not to mention that different countries are experiencing different interest rate cycles than the US (stable or downward even).The complete list is too in-depth to cover in a single blog post.  My goal was to provide you with enough information to at least ask the question(s).  Your risk tolerance and financial goals might make a move from bonds to stocks the best course of action.  With that being said, you also have the option of selling bonds and keeping the money in cash or investing in the different types of bonds offered in the fixed income markets while keeping your total allocation to fixed income nearly the same.  Thinking holistically about your portfolio, you may be increasing the riskiness of your portfolio beyond your risk tolerance or more than you are aware unbeknownst to you by moving from bonds into stocks.  This is something you definitely want to avoid.    It can turn out to be a rude awakening and hard lesson to learn one or two years from now.

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