Tag: backtesting

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2020 Year In Review

Happy New Year from ETFMathGuy! In this post, we conduct a 2020 year in review of stock, bond and ETFMathGuy premium portfolios.

For many, 2020 was an unusual year in the investing world. And, investing in ETFs was no exception. In our first post of 2020, we discussed how we adapted to the new normal of nearly all ETFs trading commission free. That opened our portfolio construction process to consider over 2,000 ETFs. But, as we noted in another post from 2020, we immediately exclude any ETF with under $50 M in assets, which helps an investor avoid ETFs that may soon close, as well as larger bid-ask spreads when traded.

So, how did ETFMathGuy portfolios fare in 2020?

In short, we have been very satisfied with our ETFMathGuy premium portfolios. Our goal was to achieve returns similar to the S&P 500, but at lower risk. We established this goal based on rigorous backtesting all ETFs that were previously commission-free from Fidelity, or slightly less than 500 ETFs. However, in 2020, we expanded into all commission-free ETFs, and the returns from two real accounts at Fidelity appear below.

Total returns for stock market, bond market and two ETFMathGuy portfolios for 2020
Total returns for stock market, bond market and two ETFMathGuy portfolios for 2020

Clearly, we achieved our 1st goal of generating returns “at least as good” as the stock market, which we assume as the S&P 500. These returns were possible thanks to our model’s ability to dynamically adjust to market conditions. For subscribers with free memberships, you can see what these ETFs were by logging into your account, and browsing the 2020 portfolios through June 2020. For example, PALL and ARKK have been consistent components of our optimal portfolios. If you are a current premium subscribers, your January 2021 portfolios and rebalancing calculator are now available for your consideration.

But, what about risk in our 2020 year in review?

The pandemic of 2020 had a substantial impact on market risk. When measured monthly, stock market volatility was 25.8%. Examining the monthly returns for our ETFMathGuy portfolios, we observed an 18.1% and 19.4% and volatility for our moderate and aggressive portfolios, respectively. So, we also achieved our 2nd goal of keeping volatility lower than the stock market. We also revisited our calculation of Alpha and Beta. For the 12-monthly returns in 2020, we found Alpha = 2.48% and Beta = 0.49. Their p-values were 0.09 and 0.02, respectively for the ETFMathGuy aggressive portfolio.  Recall from this post that the smaller the p-values, the greater confidence we have that these are the correct values and have minimal estimation error. So, for those of you “seeking alpha”, these statistics indicate our portfolios likely produced “alpha” in 2020.

Our statistics on 2020 monthly returns indicated that we likely produced "alpha" in our ETFMathGuy aggressive portfolios.
Our statistics on 2020 monthly returns indicated that we likely produced “alpha” in our ETFMathGuy aggressive portfolios.

Forecasting 2021?

We won’t venture a guess at what the markets have in store for investors in 2021. Frankly, there are many, many articles already written on this topic. Instead, we will continue to pursue our goal to construct ETF portfolios that meet or exceed returns like the S&P 500 with lower volatility. If you are interested in accessing the January 2021 premium portfolios, please consider upgrading your membership now at 2020 subscription prices. In the coming weeks, we plan to increase our subscription prices for the new year. Please contact us if you would like a free sample of our latest premium portfolio.

We hope you found this 2020 year in review educational!

ETFMathGuy is a subscription-based education service for investors interested in using commission-free ETFs in efficient portfolios.
ETFMathGuy is a subscription-based education service for investors interested in using commission-free ETFs in efficient portfolios.
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What are Model Portfolios?

Yesterday’s Wall Street Journal had a very interesting article about model portfolios. So, what are these, and why should an individual investor care about them?

A Wall Street Trend

This WSJ article stated that the use of model portfolios is a growing trend, since it helps take the emotion out of investing. So, these portfolios are based on scientific observations and analysis, rather than an investor’s “instincts” or emotional reaction to current market conditions. A growing number of financial advisors are embracing their use too.

Model portfolios take some of the human emotion out of investing. They provide the comfort of science.

Andrew Guillette, Research Director at Broadridge. source: WSJ, December 4, 2020

Thus, these model portfolios are ones that can “dynamically shift the funds it invests in as markets change”. We are advocates of this approach using commission-free ETFs. Our free and premium portfolios do exactly that, as we update them each month based on current market conditions. Please log in to see these portfolios now, which include the latest market shifts through Friday, December 4th. Premium subscribers also have access to a handy web calculator to assist in rebalancing their portfolio.

How have model portfolios performed this year?

Unfortunately, little is published about model portfolio performance. But, we report our model’s performance for ETFMathGuy portfolios on a regular basis. The image below shows the total returns from January through end of November from our investments at our Fidelity brokerage account.

Total returns from January through November of Stocks, Bonds and ETFMathGuy Portfolios

What about risk?

The performance over the last 11 months look very promising, suggesting a scientific approach to rebalancing an ETF portfolio can perform well in volatile markets. But, how much risk did we take with these investments? Using the monthly returns that led to the total returns shown above, the volatility of the stock market (ticker: IVV) was 26.9%. However, the volatility of the moderate risk ETFMathGuy portfolio was only 18.2%. Not surprisingly, the aggressive risk ETFMathGuy portfolio had a higher volatility of 19.0%, as expected for a portfolio seeking more risk. So, these portfolios continue to outperform the stock market, while also taking less risk as measured by volatility.

ETFMathGuy is a subscription-based education service for investors interested in using commission-free ETFs in efficient portfolios.
ETFMathGuy is a subscription-based education service for investors interested in using commission-free ETFs in efficient portfolios.

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Thematic ETFs continue to grow

Thematic ETFs continue to grow in popularity. But, how is this type of ETF different from the broad-based ETFs, like those that track the S&P 500? In this post, we discuss several points to consider when investing in thematic ETFs.

What is an ETF “theme”?

ETF themes can come from nearly anywhere in the investment world. As discussed in this recent WSJ article, themes are often found to hopefully align with “beliefs or interests” that investors may have. In the U.S., assets invested in thematic ETFs have doubled in the past three years. However, there have been quite a few closures along the way too. Closures are typically due to the ETF’s expense ratio failing to produce sufficient revenue to match the expense of running the ETF. This WSJ article suggests that ETFs without $50M in assets after three years are most vulnerable.

We agree. In fact, the initial evaluation of the ETFs we use in our portfolio construction process discards ETFs that haven’t existed for several years or have less than $50M under management. Our approach helps avoid the many issues associated with ETF closures.

Opportunities of Thematic ETFs

The obvious attraction of these ETFs is their opportunity to make more “concentrated” investments in companies within its theme. For example, investors interested in companies involved in automation could buy the ROBO Global Robotics and Automation Index ETF (ticker: ROBO). Or, if an investor wishes to make investments in solar companies, they can buy the Invesco Solar ETF (ticker: TAN). The image below shows the top ten holdings of this solar ETF.

Top 10 Holdings of the Invesco Solar ETF. Source: ETF.com
Top 10 Holdings of the Invesco Solar ETF. Source: ETF.com

However, theme-based ETFs also lack diversification inherent in broad-based ETFs like iShares Core S&P 500 ETF (ticker IVV). And, they are typically are less liquid. For instance, the average bid-ask spread of the Invesco Solar ETF was 0.11%. The iShares Core S&P 500 ETF bid-ask spread was much lower, at 0.01%, according to ETF.com.

Risks and Rewards of Thematic ETFs

Having more concentrated holdings than a broad-based index usually means higher risk. The chart below shows how the risk, measured by volatility, for the automation and solar ETFs compare to the S&P 500 ETF over the last three years. Clearly, these thematic ETFs exhibited greater risk. For the solar ETF, this higher risk level was compensated by a higher total return. However, the automation ETF’s higher risk levels didn’t produce returns higher than the S&P 500, lagging it by about 1% a year.

Three-year risk and return of the Invesco Solar ETF, ROBO Global Robotics and Automation Index ETF and the iShares Core S&P 500 ETF. source: www.etfreplay.com
Three-year risk and return of the Invesco Solar ETF, ROBO Global Robotics and Automation Index ETF and the iShares Core S&P 500 ETF. source: www.etfreplay.com
ETFMathGuy is a subscription-based education service for investors interested in using commission-free ETFs in efficient portfolios.
ETFMathGuy is a subscription-based education service for investors interested in using commission-free ETFs in efficient portfolios.
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Market uncertainty prior to next week’s election

The stock market, measured by the S&P 500, lost about 2.5% in October. But, earlier in the month, the stock market was up over 5%. The chart below shows the roller coaster ride for two ETFs that track the stock and bond markets: iShares Core S&P 500 ETF (ticker IVV), Vanguard Total Bond Market ETF (ticker: BND) So, what’s going on with this market volatility?

Stock and bond returns in October, 2020. Source: finance.yahoo.com

Markets don’t like uncertainty

There are many opinions to describe what caused the financial markets to move like they did in October 2020. We think that the combination of the upcoming election and spike in coronavirus cases is adding to uncertainty. But, this uncertainty, as measured by stock market volatility, is still well below where it was earlier in the year. We used our daily volatility monitor in the plot below.

Stock market volatility as of October 30, 2020. Source: ETFMathGuy.com
Stock market volatility as of October 30, 2020. Source: ETFMathGuy.com

As this chart shows, volatility has crept a little higher in October. But, based on the long-term historical norm, this volatility is still slightly elevated in the 75% percentile. Of course, if you are a believer in efficient markets, then you simply don’t know what the future of the market will hold. In more positive news, the WSJ recently reported that the U.S. economy recovered significantly in the 3rd quarter of 2020. Consumer spending for online retail items continue to stay strong, while the travel sector still lags.

How about the ETFMathGuy portfolios and market uncertainty?

Thanks to wide diversification from over 2,000 ETFs we analyze each month, our portfolios continue to perform well. Consequently, the moderate risk portfolio lost 0.6% and the aggressive risk portfolio lost 0.5% in October. The year to date cumulative return of the ETFMathGuy aggressive risk portfolio appears below, along with the S&P 500 and Aggregate Bond Market total return.

ETFMathGuy year to date cumulative returns, versus the S&P 500 and Aggregate Bond Market returns.

Premium subscribers can now access the backtested portfolios for November 2020. Not a premium subscriber yet? Then, just visit the bottom of our “Join Us” page to upgrade your subscription and get immediate access!

ETFMathGuy is a subscription-based education service for investors interested in using commission-free ETFs in efficient portfolios.
ETFMathGuy is a subscription-based education service for investors interested in using commission-free ETFs in efficient portfolios.
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Can minimum volatility ETFs consistently perform well?

Last weekend, there was a fascinating article about minimum volatility ETFs. It was written by one of my favorite Wall Street Journal columnists, Jason Zweig. In this article, he shared a lot of wisdom, which I will highlight more here.

What is a minimum volatility ETF?

One of the most common ways to measure risk in an ETF is to track its volatility. So, investing in a minimum volatility ETF may make sense for investors seeking to reduce risk. One of the largest low volatility ETFs is the iShares MSCI USA Min Vol Factor ETF (ticker: USMV), with over $30B in assets. The chart below shows it performance since its inception in October 2011, which generally lagged the S&P 500 (ticker: IVV). However, its volatility was noticably lower.

Risk and Return of a large minimum volatility ETF compared to the S&P 500 . Source: www.ETFReplay.com
Risk and Return of a large minimum volatility ETF compared to the S&P 500 . Source: www.ETFReplay.com

Why did this ETF produce lower risk and lower return?

This ETF is able to lower risk through the use of optimization, much like the ETFMathGuy portfolios. However, we don’t limit our optimal portfolios to equities like minimum volatility ETFs. We consider bonds, commodities and other alternative investments too. ETFMathGuy also uses backtesting that includes transaction costs to build portfolios to maximize returns.

The fund’s index uses an optimization algorithm to build a “minimum variance” portfolio—one that considers correlation between stocks—rather than simply holding a basket of low-vol stocks…

USMV Factset Analytics Insight (https://www.etf.com/USMV)

So, this ETF consists of stocks which typically emphasize lower volatility sectors like financial, utilities and real estate. These sectors are often termed “value”, rather than “growth” investments, in part due their issuance of dividends. Consequently, optimization to produce a minimum volatility ETF removes some market risk, generating a beta of 0.87. But, as we can see in the economic cycle from 2011 – 2020, the return also lagged the market.

Recent performance of minimum volatility

This year’s pandemic has certainly affected the stock market in significant ways. Investments favored by minimum volatility ETFs (financials, utilities, and real estate) have been significantly impacted by coronavirus lockdowns. However, technology has done very well, as remote work has increased the demand for technology systems and services. Unfortunately, technology is typically more of a “growth” investment. So, minimum volatility ETFs often limit their exposure to growth stocks to reduce volatility. In the ETFMathGuy portfolios, technology has been a noticeable portion this year, and has led to encouraging year-to-date returns and performance statistics.

ETFMathGuy is a subscription-based education service for investors interested in using commission-free ETFs in efficient portfolios.
ETFMathGuy is a subscription-based education service for investors interested in using commission-free ETFs in efficient portfolios.
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Alpha and Beta Portfolio Statistics

In this post, we will be diving deeper into two commonly used portfolio statistics. These terms are Alpha and Beta, are based on a statistical method called “Regression“, and are used in the Capital Asset Pricing Model (CAPM). They are calculated by fitting a “line” to a set of points.

“…alpha is the return on an investment that is not a result of general movement in the greater market”.

Description of “Alpha” from the Capital Asset Pricing Model (CAPM). Source: Investopedia

“Beta effectively describes the activity of a security’s returns as it responds to swings in the market”

Description of “Beta” from the Capital Asset Pricing Model (CAPM). Source: Investopedia

If we define the market as the S&P 500, then Beta is an indication on how sensitive a portfolio is to S&P 500 returns. Alpha indicates how returns occur independent of the S&P 500. The term Alpha is so important, that it has even spawned its own website. And, why not? It represents the return obtained without exposing an investor to (stock) market risk.

An Example of CAPM

To better illustrate how Alpha and Beta are determined, consider the last 8 months of returns for the the following data sets:

  1. ETFMathGuy Aggressive Portfolio Returns
  2. S&P 500 total returns (ticker: IVV) to represent the market
  3. Short-term U.S. Treasury bill returns (ticker: SHV) to represent the risk free rate

Since CAPM is based on the concept of “excess returns”, which are returns above the risk-free rate, we can visualize this relationship in a scatterplot. The horizontal axis is the “Market Returns – Risk Free Rate”, and the vertical axis is the return of our “ETFMathGuy Aggressive Risk Portfolio Returns – Risk Free Rate”.

The Capital Asset Pricing Model (CAPM) applied to 8 months of returns of ETFMathGuy Portfolios
The Capital Asset Pricing Model (CAPM) applied to 8 months of returns of ETFMathGuy Portfolios

These results look promising, with a value of Beta = 0.37 and Alpha = 2.1%. However, 8 observations are small, so analysts typically look to see if these values are “significantly different” than 0. Or, put another way, what is the chance that these value were obtained by skill, rather than luck?

Assessing Luck vs. Skill

More data or evidence is always helpful in supporting any claim using statistics. For the example we show above, we are claiming that Alpha and Beta are non-zero values. Using some fundamentals from statistics, we can determine p-values for our Alpha and Beta calculation above as 29% and 15%, respectively. (Yes, p-value is another statistical term.) These p-values are fairly easy to interpret. In this case, 29% is the probability that Alpha = 2.1% is due to random chance, and the 15% is the probability that Beta= 0.37 is due to random chance. Put another way, we can say that Alpha = 2.1% and Beta = 0.37, but there is a chance (29% and 15%) that, in fact, we are wrong and that these value should be zero. So, the smaller the p-values, the greater confidence we have that these are the correct values and have minimal estimation error.

So What?

These results show that the ETFMathGuy Aggressive Portfolio is generating positive Alpha, and isn’t overly sensitive to the market. However, more data is needed to provide stronger evidence that these results are not simply due to luck. We hope you will continue to check back to see how the ETFMathGuy portfolios perform for the rest of 2020. And, for those who are premium subscribers, the September portfolios are now available, which includes a new calculator at the bottom of the page to further aid in portfolio re-balancing decisions.

ETFMathGuy is a subscription-based education service for investors interested in using commission-free ETFs in efficient portfolios.
ETFMathGuy is a subscription-based education service for investors interested in using commission-free ETFs in efficient portfolios.
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S&P 500 down about 20% in the First Quarter of 2020

It was a difficult year so far for many investors. The total return of the iShares Core S&P 500 ETF (ticker: IVV) was -12.1% for the month of March. The total return of IVV in the first quarter 2020 was -19.6%. Such large losses often shake investor confidence. Also, the math is against you now. To recover from the 20% loss, a investor needs a 25% gain. If losses hit 40%, then an investor needs a 67% return to get back to where they started. And, if losses reach 50%, an investor needs a 100% return, or double their money, to recover all their losses. This is the unfortunate math behind compounded gains and losses.

The recovering from a large market loss can be challenging due to the effect of compounding
Recovering from a large market loss can be challenging due to the effect of compounding

How did the ETFMathGuy portfolios do in First Quarter 2020?

Using my account balances at the end of March, I measured my investment returns for the first quarter. For the Moderate Portfolio in my taxable account, my first quarter return was -5.0%. My Roth IRA used the Aggressive Portfolio and had a first quarter return of -2.1%. These returns far exceeded the S&P 500 in this first quarter. So, we are pleased with these results, which were supported by the backtesting we used to tune our optimization methodology.

Total Returns for the First Quarter Using Taxable and IRA Accounts
Total Returns for the First Quarter Using Taxable and IRA Accounts

Why is there such a large difference between the moderate and aggressive portfolios? The biggest driver was the moderate portfolio’s exposure to the municipal bond market. The aggressive portfolio did not include municipal bond ETFs, since it operated within an IRA. Please, look for yourself at the premium portfolios that produced these returns, which are now available to all free subscribers.

Measuring Volatility

We’ve added a new feature to the ETFMathGuy site to track the daily stock market volatility. Using the first ETF ever created, the SPDR S&P 500 ETF Trust, we developed an average of one, two and three month annualized volatility. At the end of this week, volatility was 70.6%, which is well above its median value of about 13% over the last 20 years.

Current stock market volatility hasn't been seen since the financial crisis of 2008.
Current stock market volatility hasn’t been seen since the financial crisis of 2008. Click this image to see the latest volatility, updated daily.

The last time volatility reached this level was the 2008 financial crisis. Then, volatility peaked at 77.8% on November 24, 2008.

In our next post, we will discuss using volatility to potentially detect market trends. Before then, you may want to read this article on on tips for investors in volatile markets.

ETFMathGuy is a subscription-based education service for investors interested in using commission-free ETFs in efficient portfolios.
ETFMathGuy is a subscription-based education service for investors interested in using commission-free ETFs in efficient portfolios.
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July 2019 optimal portfolios are now available and discussed in terms of recent and long-term market trends

The July 2019 optimal portfolios are now available to subscribers of ETFMathGuy. So, please log in and select your discount broker. In this post, we will also discuss more about risk and return in an optimal ETF portfolio.

As we mentioned in our last post, there are benefits to having more ETFs to choose from during the portfolio construction process. We showed the potential to increase expected returns. In this post, we highlight another important element – risk.

Risk and Return

Risk and return are two fundamental issue that are important to consider when investing in an ETF portfolio. The chart below shows risk (horizontal axis) and return (vertical axis). Here, we define risk as the annual volatility, measured by the standard deviation of daily returns. We evaluate risk and return using a multi-year sample period selected from our rigorous backtesting process. As this chart shows, the optimal portfolios reside at risk levels between the bond market (ticker: AGG) and stock market (ticker:IVV). And, these portfolios are efficient, since they were selected to maximize the expected return.

Risk (Volatility) and Expected Return in the July 2019 optimal portfolios. Notice that at each risk level (conservative, moderate and aggressive), different ETFs offered by different discount brokers leads to different expected returns.
Risk (Volatility) and Expected Return in the July 2019 optimal portfolios. Notice that at each risk level (conservative, moderate and aggressive), different ETFs offered by different discount brokers leads to different expected returns.

As this chart shows, cash can be nearly risk-less, based on volatility, but offers returns that may not exceed long-term inflation. Bonds can offer more of a potential return, but with added risk. Even more return is possible from the stock market for those willing to accept additional risk.

What about the last 6 months?

Indeed, it is true that the first half of 2019 has been very good for both stocks and bonds. Based on a recent Wall Street Journal article, “… S&P 500 finished Friday up 17% this year, marking its best first half since 1997 “. According to the site ETFreplay.com, and including dividends, the stock and bond market are up 18.3% and 5.8%, respectively, this year. Will this trend continue? I personally doubt anyone really knows, as I believe that markets are generally very efficient. A better question may be “What level of risk” or “How much exposure” do you want your investments to have in various parts of the market. To end this post, I’ll leave you with one (of many) famous quotes by Warren Biuffet.

“The stock market is a device to transfer money from the impatient to the patient.”

Warren Buffett

We hope you found this post educational!

ETFMathGuy is a subscription-based education service for investors interested in using commission-free ETFs in efficient portfolios.

ETFMathGuy is a subscription-based education service for investors interested in using commission-free ETFs in efficient portfolios.
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June 2019 Optimal Portfolios are Now Available to ETFMathGuy subscribers

The June 2019 optimal portfolios are now available to subscribers of ETFMathGuy. So, just log in and select your discount broker.

You can now view the June 2019 optimal portfolios for the five discount brokers analyzed by ETFMathGuy. These portfolios cover nearly 1,500 ETFs currently offered commission-free from Ameritrade, ETrade, Fidelity, Schwab and Vanguard.

In all cases, we applied our rigorous portfolio construction process to produce the current portfolios. So, we encourage you to browse through these portfolios to review the following characteristics:

  • Allocation of bond versus stock ETFs in the optimal portfolio
  • Turnover from the previous month or months
  • The effect of risk level on the overall portfolio risk statistics
  • The increase in expected return as risk level increases

We hope you find these portfolios educational!

Where are the ESG funds in the 2019 optimal portfolios?

In our mid-April post, we updated the database used by ETFMathGuy to include the expanded list of commission-free ETFs offered by five discount brokers. We also mentioned one of the most popular themes to hit the ETF landscape, called Environmental, Social and Governance (ESG) investing. For example, Vanguard offers two of these ESG funds.

These two ETFs carry an expense ratio of 0.12% and 0.15%, respectively, consistent with Vanguard’s low-cost philosophy. So, why aren’t these funds appearing in the current portfolios developed by ETFMathGuy?

The short answer is that our portfolio construction process requires a sufficient return history. Based on our backtesting results, we identified an optimal sample period of several years. Unfortunately, the two Vanguard ETFs noted above have only existed since September 18, 2018, or about the last 8 and a half months. Consequently, this history is simply too short for our optimization model to generate portfolios that satisfy investor return expectations.

So, is ESG investing worthwhile?

This is an excellent question! In fact, based on a recent Wall Street Journal article, other experts in the industry shared our concern about a short return history.

“Many of these ESG ETFs are relatively young and have not had a chance to prove if they can demonstrate strong performance”

Todd Rosenbluth, senior director of ETF and mutual-fund research at CFRA

What does this mean for you? Well, if you are an investor focused on using your beliefs to guide your investment decisions, you may find this short history acceptable. However, here at ETFMathGuy, we prefer to make evidence-based decisions. So, we look forward to analyzing longer return histories that may show how ESG funds could be part of an optimal portfolio.

ETFMathGuy is a subscription-based education service for investors interested in using commission-free ETFs in efficient portfolios. June 2019 optimal portfolios are now available.
ETFMathGuy is a subscription-based education service for investors interested in using commission-free ETFs in efficient portfolios.