Happy New Year, Beginning Thoughts, and Information for International Viewers

27 Friday Dec 2019

Posted by wmosconi in active investing, asset allocation, Average Returns, behavioral finance, benchmarks, bond market, cnbc, Consumer Finance, economics, Education, finance, financial advice, Financial Advisor, financial goals, financial markets, Financial Media, financial planning, financial services industry, gross returns, historical returns, Individual Investing, individual investors, investing, investing advice, investing information, investing tips, investment advice, investments, market timing, passive investing, personal finance, portfolio, rebalancing, rebalancing investment portfolio, risk, risk tolerance, risks of bonds, risks of stocks, S&P 500, S&P 500 Index, statistics, stock market, Stock Market Returns, Stock Market Valuation, stock prices, stocks, Valuation, volatility

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I am looking forward to sharing more information regarding investing, finance, economics, and general knowledge about the financial services industry in 2020. I am hopeful to increase the pace with which I publish new information. Additionally, I am happy to announce that I reached viewers in 108 countries in all six continents. Countries from Japan, France, Germany, and Russia to Ghana, Colombia, and even Nepal.

Since the number of my international viewers has grown to nearly 30% of overall viewers of this blog I wanted to allocate a short potion of this post to the international community. Some of my comments are most applicable to the US financial markets or the developed markets across the globe. If you are living in a country that is considered part of the developing markets, I would strongly recommend that you seek out information in your country to see how much of my commentary is applicable to your stock or bond market and situation in general. It is extremely important to realize that tax structure, transparency of information, and illiquidity of stock and bond can alter the value of what I might say. During the course of the coming year, I will attempt to add in some comments to clarify the applicability. However, as the aforementioned statistic regarding the global diversity of viewers of this blog suggests, I would be remiss if I did not acknowledge that I will not hit on all the issues important to all international individual investors.

I encourage you to take a close look at your portfolio early on in 2020. It is a perfect time in terms of naturally wanting to divide up investing into calendar increments. As you listen to all the predictions for the New Year, I would encourage you to look at your personal portfolio and financial goals first. The second step is to always look at that economist’s or analyst’s predictions at the beginning of 2019. Now I am not implying that incorrect recommendations in the previous year will mean that 2020 investing advice will be incorrect as well.

To help you with a potential way to look at the outlook for positioning your portfolio of investments, I recently published a summary on the topic of rebalancing a portfolio. You can find the link below:

https://latticeworkwealth.com/2019/12/14/rebalancing-investment-portfolio-asset-allocation/

Now, there will always be unknown items on the horizon that make investing risky. You hear that we need to get more visibility before investing in one particular asset class or another. It usually means that the analyst wants to be even more certain how the global economy will unfold prior to investing. I will remove the anticipation for you. There will only be a certain level of confidence at any time in the financial markets.

One can always come up with reasons to not invest in stocks, bonds, or other financial assets. The corollary also is true. It can be tempting to believe that it is now finally “safe” to invest even more aggressively in risky stocks, bonds, or other assets. As difficult as it might be, you need to try to take the “emotion” of the investing process. Try to think of your portfolio as a number rather than a dollar amount. Yes, this is extremely difficult to do. But I would argue that it is much easier to look at asset allocation and building a portfolio if you think of the math as applied to a number instead of the dollars you have. Emotional reaction is what leads to “buying high and selling low” or blindly following the “hot money”; that is when rationality breaks down.

Here is an experiment for you to do if you are able. There are two shows I would recommend watching once a week. The first show is Squawk Box on CNBC on Monday which airs from 6:00am-9:00am EST. The second show is the Closing Bell on CNBC on Friday afternoon which airs from 3:00pm-5:00pm EST. You only need to watch the last hour though once the stock and bond markets are closed. Note that these shows do air each day of the week. Now depending on whether or not you have the ability to tape these shows first and skip through commercials, this exercise will take you roughly 12-16 hours throughout the month of January. You will be amazed at how different the stock and bond markets are interpreted in this manner.

When you remove the daily bursts of information, I am willing to bet that you will notice two things:

Firstly, Friday’s show should demonstrate that many “experts” got the weekly direction of the market wrong. It is nearly impossible to predict the direction of the stock market over such a short period.

Secondly, Monday’s show should illustrate what a discussion of all the issues that have relatively more importance are. However, this is not always a true statement though. Generally though, financial commentators and guests appearing on the show will have had the entire weekend to reflect on developments in the global financial markets and current events. Since the stock, bond, and foreign exchange markets are closed on Saturday and Sunday, there is “forced” reflection for most institutional investors, asset managers, research analysts, economists, and traders. The information provided is usually much more thoughtful and insightful.

I believe that the exercise will encourage you to spend less time attempting to know everything about the markets; rather, it may be more helpful to carefully allocate your time to learning about the financial markets. After you devote your time to watching CNBC in this experiment, I recommend one other ongoing personal experiment. Try picking three financial market guests that appear on CNBC during January and see how closely their predictions match reality. You might want to check in once a month or so. I think that this exercise will show you how futile it is to try and time and predict the direction/magnitude of the stock market and other financial markets too (e.g. bonds and real estate).

Best of luck to you in 2020! As always, I would encourage anyone to send in comments or suggestions for future topics to my email address at latticeworkwealth@gmail.com.

Breakthrough Drugs, Statistics, and Anecdotes: Three Things Every Individual Investor Needs to Know – Statistics and Time Series Data – Part 2 of 3

20 Wednesday Nov 2019

Posted by wmosconi in asset allocation, correlation, correlation coefficient, finance theory, financial advice, Financial Media, Financial News, financial services industry, historical returns, Individual Investing, individual investors, investing, investing advice, investing tips, risks of stocks, standard deviation, stock market, Stock Market Returns, time series, time series data

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The first article of this three-part series covered the broad strokes of this issues to be aware of in terms of all the “data” and “relationships” that get thrown around by the financial media (print and television). Most of the discussion uses data points that are not statistically significant to draw any sort of conclusion. In fact, time series data is notoriously hard to model and predict the future. Additionally, the specific time series data of stock market returns is even more difficult.

You can refer to the link below to examine the content of the first article:

https://latticeworkwealth.com/2019/11/11/breakthrough-drugs-statistics-and-anecdotes-investing/

The task at hand for the second article is to put some “meat on the bones” of the discussion. I realize that anything to do with math and statistics is not easy for everyone (or of interest either). Therefore, I will be writing a supplemental article that covers the mathematics and statistics in more detail. The goal here is to be able to identify some of the more common errors that you will encounter.

The first item to talk about is any sort of data that has a substantial trend component. In layman’s terms, there is a data series where the line graph goes up or down in more of a straight-line manner. You can think of the Gross Domestic Product (GDP) of the United States here. Every year the GDP figures will generally go up unless there is a recession. But, even after the recession passes, the trend for GDP will resume upward. So, where does the problem come in?

I am going to give a contrived example to illustrate why it is dangerous to compare two series that are trending. The example will consist of two different equations which are trends. Both have the same trend component and an error term (we will call that eta). The variables will be exactly the opposite. More specifically, the two equations we will use are the following:

Trend_1 = Time + 100 + 0.9 * x + eta

Trend_2 = Time +100 – 0.9 * x + eta

Now the x values and eta values were simply generated by selected variables at random between 0 and 1. The eta values were also selected at random between 0 and 1. You can think of eta as representing the general “noise” that occurs on a daily basis when observing stock prices in the financial markets. So, let’s graph the first 100 observations for these two equations:

Trend_Graph_Statistics_Revised

You will notice that the trend component dominates the line graphs. However, we know by construction that the two equations which produce trend_1 and trend_2 are fundamentally different. Now the correlation coefficient between those two equations is 0.9984. A correlation coefficient of 1 means that the two lines move in lockstep. Why is this important? Why is it very dangerous?

Well, financial pundits will talk about these types of graphs all the time. It looks like there is some relationship, but we know there is very little relationship between the two trends. In fact, we can look at these equations by subtracting the current value from the previous value to see what changes. Formally, this topic is called first differencing. It will allow us to see more clearly what we already know. Here is the graph:

First_Difference_Graph_Statistics_Revised

Now we have a totally different picture. We can see that at many times the two trend equations are moving in exactly the opposite direction. In fact, the correlation coefficient for the first-differenced equations is 0.2675. There is only a slight positive relationship between the two trends.

In the example above, we can see that looking at the two trends is very deceiving. Remember that I added the eta term to represent “noise” that is always present in financial market data. So, anytime someone talks to you about the comparison of two trends, you should be very skeptical. You always want to see first-differenced data or at least a comparison of changes in some manner. Otherwise, you will mistakenly assume that there is a strong positive or negative relationship between two time series.

The second example that I am going to use is stock market returns for the S&P 500 Index from 1966 through 2018. Why start at 1966? Well, the S&P 500 Index started with its current number of component stocks back in 1957, and I would like to show annual stock returns and also ten-year annualized returns. This particular topic can get messy quite quickly, so I am not going to cover it in a lot of depth with statistical and mathematical jargon. For those of you who are interested, I had mentioned that it will be contained in a forthcoming supplemental article.

A great many individuals in the financial markets talk about stock market returns in the same breath as the normal distribution. What is the normal distribution? It is the old bell curve that you are familiar with. The normal distribution is symmetrical and tails off at the end as more and more data points are gathered. Well, stock market returns are anything but strongly normal.

Let’s first take a look at one-year stock market returns for the S&P 500 Index.

One Year Returns - Histogram - Non Normal

A useful test to see if a particular distribution is normal is the Jarque-Bera test. Now it is not necessary to know exactly what is being calculated. However, you should refer to the bottom of the box that reads “Probability”. The value of 0.179 is called a p-value. A p-value less than or equal to 0.10 means that we can reject the hypothesis that the one-year distribution of stock returns is normal. At a value of 0.179, we would not reject the hypothesis of normality for this distribution. However, the p-value in our case is not large enough to be totally sure and confident. But what about looking at annualized stock market returns over ten-year periods?

We can look at a similar graph to check to see if stock market returns over longer timeframes are indeed akin to the normal distribution (i.e. the bell curve). Here is the graph:

Ten Year Returns - Histogram - Non Normal

Looking at the same “Probability” value, we have 0.489. Therefore, we cannot reject the hypothesis that these stock market returns follow a normal distribution. Looking at ten-year annualized stock market data tells us that we can use the normal distribution as an assumption for calculating statistics.

Now why does this matter? Well, you will here over and over again statistics that apply only to the normal distribution in relationship to actual, observed stock market returns. We have just seen that stock market returns over the short-term stock returns weakly follow the normal distribution. On the other hand, long-term stock returns are definitely normal. Now I will not get into the technicalities, but time series data is indeed asymptotically normal. What? Say again?

This is just a fancy way of saying that, as the number of data points (sample size) approaches infinitely, the time series will look like the normal distribution. Pretty much all financial market and economic data have very few data points. In fact, you usually need several hundred data points prior to making any assumptions and using the statistics related to the normal distribution (think standard deviation or correlation coefficients).

Thus, most of the banter in the financial media is just subjective notions of what is going on in the stock market and the economy. More often than not, an assertion by someone in the financial print or television media is more of an educated guess than based on a solid mathematical foundation. That fact explains why financial pundits hedge their statements. Like I say half-jokingly, “I see the stock market going up in the next several months, but of course it might not resume its uptrend or could even take a leg downward”.

Well yes, I guarantee you that every day stocks will go up, down, or remain unchanged. This type of daily commentary in the financial press about the short-term performance of stocks (or other financial assets) is just not helpful and can be downright distracting you from investing for your long-term financial goals.

I apologize for getting too detailed in certain parts of this article. What are the key takeaways? First, you should be extremely leery of drawing any conclusions from the comparison of two or more data series that are trending upward or downward. Second, you need to have several hundred observations prior to invoking any reference to the normal distribution. So, what is left after that? As you might imagine, there are not too many comparisons or studies that pass the muster to give you insights on investing or actionable information to make changes to your investment portfolio.

Don’t focus on the mathematics or statistics. All you need to remember are the two takeaways above. And, first and foremost, you should always be skeptical whenever you are presented with comparisons and statistics related to the financial market or the economy as a whole.

Now that Commissions on Stock Trades Are Zero, Should You Start Trading Stocks?

16 Wednesday Oct 2019

Posted by wmosconi in active investing, after tax returns, benchmarks, blended benchmark, finance, financial advice, financial markets, gross returns, historical returns, Income Taxes, Individual Investing, individual investors, investing, investing advice, investing tips, investment advice, investments, passive investing, portfolio, risks of stocks, S&P 500, S&P 500 historical returns, S&P 500 Index, speculation, stock market, Stock Market Valuation, stock prices, stocks

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Quite recently, Charles Schwab (an e-broker) announced that they would no longer be charging commissions on stock trades. Shortly thereafter, TD Ameritrade, E*TRADE, Interactive Brokers, and Fidelity Investments all followed suit. A financial technology (fintech) firm, Robinhood already offered commission-free trading. So essentially, anywhere you open up a brokerage account to trade stocks, you will not have to pay any commissions. The question is…….should you start trading stocks?

The aforementioned question is difficult to answer in relation to all the types of people that are reading this article. However, whether or not you decide to trade stocks, I simply want to ensure that you are using the proper benchmark to gauge your success in terms of the performance returns you achieve. Now I am assuming that, since you are trading stocks, the assets are held in a taxable brokerage account. Furthermore, an active trader is likely to have a holding period for those stocks that is less than 365 days. Therefore, the gains are fully taxable as ordinary income. With that groundwork laid, let’s move on to a further analysis.

Trading stocks and “beating the stock market” is an extraordinarily difficult task to do. Most of the professional asset managers fail to beat their respective benchmarks for performance returns. Additionally, trading stocks in the short term requires two things: gauging market sentiment correctly and the valuation of the stock based upon its fundamentals. You have to be right on both accounts. There are many times when a company has a ton of good announcements that should cause the stock price to increase, but other factors hinder the upward movement in the stock price. Examples include: negative sentiment about the stock market in general, negative sentiment about the industry the company is in, geopolitical uncertainty, poor economic data, central bank (Federal Reserve) policy, and many others. The bottom line is that you can be exactly correct on positive news for the stock you are buying, but, if there are negative overhangs in the stock market for any reason, the stock price may not go up.

Another word of caution is just to identify what it means to trade stocks in the short term. Trading stocks in the short term is speculation, plain and simple. Short-term trading is not investing at all. There are myriad reasons why, but I will not address that in this article. Just know that you are a trader who is speculating on stocks and market sentiment related to the stocks you choose to trade. Any holding period of a stock less than one year does not meet the bar of what investing means. As long as you know that going in, that is fine and I will not dissuade you in any way from trading.

The important thing to remember is that you need to gauge your performance in relation to the overall stock market based upon after-tax returns and not gross returns. Why? At the end of the day, you only care about the terminal value of the asset in your brokerage account. What do I mean by terminal value? Terminal value just means the amount of money you have after paying capital gains taxes as ordinary income. For example, if you have a 10% return in your stocks and the S&P 500 Index is only up 8%, you need to look at your taxes too. Just for illustrative purposes, let’s assume that your marginal rate for federal and state taxes is 25%. If we go back to the 10% amount, you will have a 7.5% (10% – 10% * 25%) after-tax gain from trading. Yes, you beat the stock market return on a gross basis, but you end up with 0.5% less after all is said and done.

I am going to use the historical returns of the S&P 500 Index from 1957 to 2018 as the benchmark that you should be referencing when examining your success (or failure) as a result of trading. As I have mentioned in many prior articles, I use 1957 as the starting year because the S&P 500 Index was created in that year. Prior to 1957, the S&P Index had less constituents so going back in history further than that year does not yield an apples-to-apples comparison. The long-term historical return of the S&P 500 Index over that period was approximately 9.8%. Therefore, I will use that historical return to reference the gross return versus after-tax return issues.

Here is a table to look at the performance return you need to equal just to be even with the S&P 500 Index after taxes:

Gross Returns Versus Tax Equivalent Returns

As you can see, the gross return equivalents in relation to the historical return of the S&P 500 Index range from 12.3% to 16.3% for the various marginal tax rates shown. For instance, if you are in the 30% marginal tax bracket for federal and state income tax purposes, you will need to earn 14.0% returns just to break even. Most people add or remove monies to their brokerage accounts over the course of any given year, so you need to adjust for those cash flows. The computations are a little trickier and beyond the scope of this discussion.

Another important thing to take into account is the types of stocks you purchase. The stocks included in the S&P 500 Index are very large companies by market capitalization (large caps). Market capitalization is simply the number of shares outstanding times the stock price. If you invest in very small stocks that you deem to be good trading opportunities, you should not be using the S&P 500 Index table above to do your calculations for after-tax returns. For example, if you tend to invest in smaller companies, you would want to use the Russell 2000 Index or the S&P 600 Index. For any companies below $1 billion in market capitalization, you should seek out what are called microcap indexes. The best way to build your personal table is to use a “blended benchmark” for performance returns. A “blended benchmark” is what large institutions and high net worth individuals use, and it is the gold standard because you are truly comparing apples-to-apples.

If you want to learn more about how to create your personal “blended benchmark”, I addressed that topic five years or so ago and here is the link to that article:

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

In summary, if you decide to trade individual stocks because commissions are zero now or you have always done so in the past, you need to compare your after-tax return to what you would have earned if you had simply bought the S&P 500 Index via an index mutual fund or an Exchange Traded Fund (ETF). Why? Those performance returns would be available to you if you simply invested in one. Note that the fees on index mutual funds and ETFs are extremely low (0.05% or less and in some cases like Fidelity Investments are free). You always want to select your next best alternative to measure whether or not you are earning more than the stock market on an after-tax basis. Remember that all you really care about at the end of the day is how much money you have leftover in your brokerage account minus what you pay in federal and state income taxes.

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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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 20^th 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 wmosconi 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

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academics, anchoring, behavioral economics, behavioral finance, Ben Graham, Bill Ruane, Capital Asset Pricing Model, CAPM, Charlie Munger, cognitive bias, Common Stocks and Uncommon Profits, David Dodd, economics, economy, Efficient Market Hypothesis, EMT, finance, invest, investing, investments, mathematics, Modern Portfolio Theory, MPT, performance, Phil Fisher, portfolio, portfolio management, Security Analysis, stocks, uncertainty, Warren Buffett

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 friend’s attention, you can ask them what the return of the DJIA was for 1987 (positive return) 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 do 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.

Latticework Wealth Management, LLC

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