Tag: optimization

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Will this stock market rally continue?

As recently discussed in this Wall Street Journal article, there is a deep suspicion on the future of this current stock market rally. In this article, we discuss what this rally looks like in various market segments. We will close on how our ETFMathGuy portfolios have performed so far this year.

The state of our economy

Most investors would agree that the economy is not doing well. Unemployment is high and our GDP (Gross Domestic Product) is shrinking at record levels. However, the Federal reserve has acted quickly and significantly. Also, congress has provided significant economic stimulus. Consequently, we have a stock market, as measured by the S&P 500 total return, up 3.5% year to date. But, not all segments of the market are behaving the same.

Below is a chart similar to the one we wrote about previously, where real estate was lagging the overall market. In that post, we also highlighted that the top 5 companies in the S&P 500 were focused on technology, helping the performance of the S&P 500.

Stock market total returns, year to date. Source: www.ETFreplay.com
Stock market total returns, year to date. Source: www.ETFreplay.com

As this chart shows, real estate is still down about 10% year to date, as measured by the iShares Dow Jones Real Estate REIT ETF. (ticker: IYR). However, the energy sector, as measured by U.S. Energy Sector SPDR ETF (ticker: XLE) is down nearly 38% for the year. Given few people are travelling much these days, we shouldn’t be surprised to see the energy sector prices behaving this way. Alternatively, the technology sector, as measured by the U.S. technology sector SPDR ETF (ticker: XLK) is doing very well, with a 21% total return year to date. Again, this is not surprising to many investors. The demand for many forms of technology is high in order to support workers in our economy working remotely.

ETFMathGuy Portfolios

We build ETFMathGuy portfolios to respond to market dynamics by analyzing daily price returns, variance and covariance over a historical period chosen from our backtesting. We build these portfolios from segments of the market not typically considered, but also exclude ETFs that are not sufficiently liquid. Our cumulative year to date total returns appear below.

Year to Date Total returns of ETFMathGuy Portfolios Through July 31, 2020.

As this chart shows total returns each month for this year, the ETFMathGuy portfolios are succeeding in reducing risk. These portfolios are also continuing to outperform the stock market. If you would like to see how this performance was possible, remember that we analyze over 2,000 ETFs to find assets that maximize returns for the levels of risk chosen. We encourage free subscribers to review the portfolios published earlier in the year, including April and May. Premium subscribers can now view the latest portfolios, based on market data through July 31, 2020.

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 Volatility Continues to Decline

Declining market volatility continued in the month of May. Also, the S&P 500 had a very good month, returning 4.8%. However, the broad-based index is still down 5.0% for the year, including dividends. The chart below updates the returns from last month for returns through May 29, 2020. As these results show, the ETFMathGuy Moderate and Aggressive portfolios continued to outperform the S&P 500. The premium portfolios for April and May 2020 are now available to all subscribers. The latest premium portfolios for June 2020 are available to paid subscribers.

Year-to-date returns through May 2020 for the stock market, bond market and ETFMathGuy Portfolios
Year-to-date returns through May 2020 for the stock market, bond market and ETFMathGuy Portfolios

Markets returning to normal?

The declining market volatility suggests that the fear in the markets continued to subside in May. However, they are still elevated above their long-term historical average. The image below shows the volatility from our daily monitor that tracks the S&P 500 ETF (ticker: IVV). We determine the standard deviation of daily returns over one, two and three month periods, and report an average to find a daily value. As of Friday, May 29th, volatility was 37.8%, as shown below.

Stock market volatility is still high, be is now well below its recent peak over 70%.
Stock market volatility is still high, be is now well below its recent peak over 70%.

Market Volatility Still Higher than Normal

Analyzing over 5,000 trading days since mid-June 2000, we can see how “out of the norm” current volatility really is. The table below shows the distribution of volatility over this nearly 20-year time period. As this table shows, we are still in the 96 percentile of volatility, meaning only 4% of the days since mid-June 2000 exhibited higher volatility then on May 29th, 2020.

Stock market volatility is still very high, by historical standards.

Stock markets returning to “normal” can be very subjective. The table above can provide a more objective perspective to such an assessment. However, if the downward trend continues, it may not take much longer before volatility returns to its long term historical norm.

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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Finding your Optimal Retirement Income

We introduced a new feature to ETFMathGuy.com in 2019 to help current and future retirees plan for the future. We have now upgraded it to find optimal retirement income. Fortunately, the calculator still offers answers to the many commonly posed questions for those nearing or currently in retirement.

  • How long will my portfolio support my discretionary and non-discretionary expenses?
  • How much will my heir or favorite charitable organization receive?
  • What will my future tax liabilities look like?

This calculator models income tax, capital gains taxes and other important elements of U.S. tax law relevant to individuals and couples in retirement. However, this model does not represent tax advice, and is for educational purposes only.

Sequencing Withdrawals for Optimal Retirement Income

In the former version of our calculator, we only applied the so-called “Common Rule“. Using values for a hypothetical 60-year old couple with a 20 year retirement horizon, the figure below shows how the couple can achieve $150,000 of annual after-tax retirement income. Notice how this “married filing jointly” couple has a effective 0% income tax bracket, as labeled on the right of the figure, due to use of the standard deduction. In 2020, this value is $24,800. To re-create these results or create your own, please visit our our interactive retirement calculator.

Common Rule withdrawal sequencing leading to a $1,203,938.01 inheritance. optimal retirement income
Common Rule withdrawal sequencing leading to a $1,203,938.01 inheritance.

While the “Common Rule” is widely adopted by financial planners and major discount brokers like Fidelity and Vanguard, it is known to sub-optimal. Why? This rule typically produces very little tax burden in the earlier years of retirement, unless they are triggered by Required Minimum Distributions (RMDs). Consequently, later retirement years can see very high income tax to maintain retirement income at acceptable levels. This rule also doesn’t take advantage of the step-up in cost basis realized by the retiree’s heirs.

Optimizing Retirement Income Withdrawal Decisions

The latest version of the retirement income calculator can now optimize withdrawal decisions using an “Optimal Rule“. So, using the same values for the calculator as our previous hypothetical couple, their heir’s inheritance increases by 13.7%, or $165,000. If their heir is a qualifying charitable organization, the inheritance increases by  $335,343.94 or 26.1%. We encourage you to try out your own scenarios to see how you can improve your retirement withdrawal decisions.

Optimal Rule withdrawal sequencing leading to a $1,368,938.05 inheritance, a 13.7% increase. optimal retirement income
Optimal Rule withdrawal sequencing leading to a $1,368,938.05 inheritance, a 13.7% increase.

Plans for the Future

We have plenty of other plans for our retirement calculator. For instance, delaying social security, including tax-free municipal bond interest, and assessing the benefits of a Roth conversion are just a few. If you have any thoughts of what you would like to see, please send us your feedback!

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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Diversification and February 2020 returns

The stock market experienced a significant drop in the month of February 2020. But, the bond market had a positive total return for the month. In this post, we discuss the benefits of a diversified portfolio during times of market stress, like seen in the February 2020 returns.

A big economic shock

Market returns for the the month of February 2020 were significantly impacted by the corona virus outbreak affecting the global economy. The S&P 500 index ETF (ticker: IVV) lost 8.5% in the month, but the iShares Core U.S. Aggregate Bond ETF (ticker: AGG) gained 1.6%. The stock market appears to be pricing in reduced earnings growth, due to the virus outbreak. Consequently, stock market sellers have rotated their investments into the bond market. Increased demand for bonds is driving up prices, and consequently returns, from bond investments.

The graphic below shows the total returns for the stock market, bond market, and two other portfolios for February, 2020.

Stock, bond and other portfolio returns in February 2020

Using a diversified portfolio and February 2020 returns

In hindsight, the bond market offered a higher return in February 2020. But, exclusively investing in bonds eliminates the possibility of the significant upside potential of the stock market, such as the 31.3% of the stock market in 2019.

One approach to managing risk while realizing some additional return is to invest in a 50% stock and 50% bond portfolio. For February 2020, this would have led to a 3.4% loss. However, wider diversification beyond the mainstream stock and bond markets offered a more substantial benefit. Specifically, the ETFMathGuy’s moderate risk portfolio (shown in a previous post) appears below. It returned 0.1% in February 2020, and was designed to match the volatility of the 50% stock and 50% bond portfolio.

The January ETFMathGuy moderate risk portfolio for taxable accounts.

The additional return comes from our optimal portfolio construction. ETFMathGuy portfolios diversify across other asset and sub-asset classes beyond stocks and bonds using a quantitative methodology. For instance, the portfolio above contains municipal bonds, commodity and tech sector exposure, among others. This diversified exposure has been very favorable to returns so far in 2020. But, market conditions are very dynamic. So, if you are looking for ideas on how to improve your portfolio’s diversification, please check out our current free and premium portfolios, constructed using the latest market data.

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Happy New Year from ETFMathGuy!

Happy New Year! To start this year, we made some significant updates to our services. Hopefully, you will find these updates useful as you evaluate your ETF investments.

New Menu Options To Access Optimal Portfolios for 2020

We have reorganized the menu at the top of ETFMathGuy.com to provide access to the 2019 and 2020 portfolios. You can still find them under the heading “Current Portfolios“.

We have also created two options for the 2020 portfolios. The first option is labeled “Free Optimal Portfolios for 2020”, and is accessible to all free subscribers of ETFMathGuy. It provides optimal portfolios generated each month using only Vanguard ETFs. So, please check out the January portfolios posted earlier today, and also now available to download for offline review. These portfolios are an excellent way to minimize expense ratios associated with ETFs, while keeping the number of ETFs in a portfolio to a minimum.

New menu options to access the 2019 and 2020 Optimal Portfolios
New menu options to access the 2019 and 2020 Optimal Portfolios

The other option is the “Premium Optimal Portfolios for 2020“. This option takes advantage of other parts of the financial market that Vanguard ETFs don’t reach, and analyzes over 2,000 commission-free ETFs. As a result, these portfolios are only accessible to premium subscribers. Like the free portfolios, they are also available for download.

All 2020 portfolios are available to download as PDF files.
All 2020 portfolios are now available to download as PDF files.

New Subscription Options

If you are interested in accessing the premium portfolios, we provide two payment options. As shown on the “Join Us” page, you can select either monthly or annual billing. Also, we accept credit card payments through our payment processor Stripe.

Price: $9.95 / month

Want to save over 30% on your monthly subscription each year? Then, consider paying once per year!

Price: $79.95 / year

Don’t want to upgrade your subscription? Well, that is not a problem. You can continue receiving our periodic commentary, access the free portfolios, and continue to test out our new interactive retirement income calculator.

Wishing you a wonderful 2020!

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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November 2019 Portfolios and a Thank You to our Subscribers

The November 2019 optimal portfolios are now available to ETFMathGuy subscribers. So, please log in and select your discount broker to see the effect of current market conditions on your optimal portfolios. In this post, we will also discuss some changes to ETFMathGuy.com for 2020, and a special offer for current subscribers.

Changes coming to ETFMathGuy.com for 2020

2019 has been a good year for ETFMathGuy.com. We have seen significant growth of investors interested in optimal portfolios using ETFs. Our subscriber base has also grown substantially, but so has our cost of running this service. So, beginning in January of 2020, we will be making changes to our subscription program. Subscription pricing will become as follows:

$9.95 / month or $79.95 / year for individuals

If you are a financial adviser and wish to continue using our portfolios to help guide investment decisions for your clients, please contact us for institutional pricing. This pricing will apply to portfolios we produce each month from the following brokers’ commission-free ETFs: Ameritrade, ETrade, Fidelity and Schwab

As a “thank you” for anyone who starts a free subscription before the end of the year, will will provide discounted subscription fees. So, please share this opportunity with other like-minded ETF investors you may know, and stay tuned for more details!

Continuing benefits of a free subscription

We realize that some of you may not want to pay for a subscription. So, for those who don’t upgrade, your free subscription will continue. Your free subscription will include access to the Vanguard optimal portfolios. It will also include email updates on our periodic commentary on market conditions and trends in ETFs.

Vanguard offers commission-free ETFs.
Optimal portfolios using Vanguard Commission-free ETFs will continue to be available without a monthly or annual subscription fee.

Thank you all for an amazing first year of ETFMathGuy!

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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Making sense of ETF Liquidity

In my last post, I discussed ETF liquidity risk. After the post, a subscriber to ETFMathGuy asked me to talk more about this risk and how it relates to the wide variety of commission-free ETFs now available.

Bid-ask Spreads

Bid-ask spreads are an excellent way to measure liquidity. Less liquid ETFs generally have higher bid-ask spreads. But, the liquidity of the securities held by the ETF also affects bid-ask spreads. The image below shows the distribution of bid-ask spreads for Fidelity commission-free ETFs, which I updated from my April 2019 post.

Bid-ask spread of Fidelity Commission-Free ETFs, as of 9/22/2019. Source: ETF.com, Fidelity.com
Bid-ask spread of Fidelity Commission-Free ETFs, as of 9/22/2019. Source: ETF.com, Fidelity.com

Minimizing costs

As we see from these results, there is a wide variation of bid-ask spreads. So, about half have spreads under 0.1%, and about 80% under 0.3%. For ETFs traded commission-free, these spreads are likely the largest contributor to cost of ownership. To reduce this cost, an investor can either buy-and-hold for extended periods, or choose ETFs with lower bid-ask spreads. Investors should also avoid trading ETFs close to the market open and close. Higher volatility over a typical trading day can often occur close to the market’s open and close, and can produce higher bid-ask spreads.

What about ETF liquidity during high market volatility?

It is very likely that, during periods of high market volatility, bid-ask spreads will grow. This growth is simply the result of finding a balance between supply and demand. Or, in the case of ETFs, this balance occurs when an ETF seller finds a buyer. Remember that, due to liquidity risk, we can expect a return premium over risk-free investments. If market volatility is a concern, investors should seek lower volatility investments (e.g. bonds over stocks), and/or seek lower volatility in their portfolio through diversification.

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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September portfolios and year-to-date returns

The September 2019 optimal portfolios are now available to subscribers of ETFMathGuy. So, please log in and select your discount broker to see the effect of current market conditions on our optimal portfolios. In this post, we discuss the year-to-date returns of my personal account using the ETFMathGuy portfolios.

Year-to-date returns

Although there are still four months remaining in the year, I thought this would be a good time to talk about my year-to-date returns. I have personally been using the moderate risk level portfolios in my Fidelity brokerage account since the beginning of the year. Monthly returns, based on the balance in my account, appear below.

Monthly returns using commission-free Fidelity ETFs and the moderate ETFMathGuy risk level.
Monthly returns using commission-free Fidelity ETFs and the moderate ETFMathGuy risk level.

To better understand the returns in my account that maximizes return for a portfolio with volatility half-way between stocks and bonds, I created the next table. Here, you can see that the ETFMathGuy portfolio return so far in 2019 is 14.1%, with a monthly volatility of 2.1%. To one decimal place, the same volatility is seen if an investor had simply maintained a 50% stock and 50% bond fund, re-balanced each month. But, the 50/50 portfolio would have seen a return of only 13.7%

ETFMathGuy portfolio returns are higher than a 50/50 stock/bond portfolio, with the same volatility.
ETFMathGuy portfolio returns are higher than a 50/50 stock/bond portfolio, with the same volatility.

Key takeaways

The ETFMathGuy portfolios appear to be behaving as expected. That is, they have about the same amount of volatility as their benchmark. However, I realized an additional return of about 0.4% in my brokerage account. For a $100,000 portfolio, that is an additional gain of about $400. I will revisit my portfolio’s performance again at the end of the year, so please stay tuned!

The future of ETFMathGuy

For the near future, I will continue to provide the optimal portfolios without a fee. But, in the meantime, I decided to begin accepting donations, if you are so inclined. Please find the donate button at the bottom of the “Join Us” page. For your convenience, it also appears below.

Thanks for supporting ETFMathGuy!

Thank you all for your interest and support in 2019. I hope you all had a wonderful labor day weekend!

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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August 2019 portfolios are now available based on our current low volatility markets

The August 2019 optimal portfolios are now available to subscribers of ETFMathGuy. So, please log in and select your discount broker to see the effect of current market conditions on our optimal portfolios. In this post, we highlight the effect of the recent low market volatility on portfolio turnover.

Low volatility is here, for now…

As discussed in yesterday’s Wall Street Journal article entitled “Markets are Eerily Quiet Right Now“, market volatility has been quite low recently. For the past 35 days, the S&P 500 hasn’t changed by more than 1%. Consequently, the August 2019 portfolios won’t differ much from the previous month. For instance, consider the Vanguard moderate portfolios generated over the past two months.

Vanguard optimal portfolios the Month of July, 2019, Moderate Risk Level
Vanguard optimal portfolios the Month of July, 2019, Moderate Risk Level
Vanguard optimal portfolios the Month of August, 2019, Moderate Risk Level
Vanguard optimal portfolios the Month of August, 2019, Moderate Risk Level

As these simpler portfolios demonstrate, low volatility produces less turnover. Here, none of the portfolio weights changed by more than a few percent.

Where will the stock and bond markets go from here?

Frankly, we don’t know, as we believe that markets are generally efficient. Market volatility will certainly return to a more typical level at some point in the future. But, when will this occur? Perhaps volatility will pick up when many professional traders return from summer vacation? Or, perhaps markets will stay quiet until the start of the next earnings season?

In any event, when market volatility does return, our monthly portfolio updates will pick up these dynamics and generate a new set of optimal portfolios. We hope you will stay tuned!

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.