Tag: optimization

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Always defer taxes in retirement?

Tax-deferred accounts avoid annual tax payments during our working years. Workers who defer taxes in accounts like 401(k)s accelerate growth for many years. However, distributions of retirement income from these accounts usually contribute to a retiree’s ordinary income for that year. So, these distributions are taxed much like wages are during our working years. This recent article in the WSJ highlighted that there are reasons to think more strategically about continuing to defer taxes in retirement.

Defer taxes in retirement?
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“To be sure, the idea of accelerating income violates the first rule of traditional tax planning, which is to defer taxes whenever possible. But there are reasons to rethink this rule now. “

Laura Saunders, 31 January 2025, “When Paying More Tax, Not Less, Is the Smart Play“

We couldn’t agree more! In fact, we made this and other salient points in our award-winning article entitled “Seeking tax alpha in retirement income“. We supported our observations and conclusions through rigorous mathematical modeling of tax laws most relevant to retirees in the U.S.A.

Seeking tax alpha in retirement income

In this post, we highlight this recent news article. We then provide a suggestion on how an individual or financial advisor may improve their retirement income strategy.

Time horizon

A key flaw in deferring taxes is that many retirees need to look at a longer time horizon. Currently, a 65-year-old male retiree can expect to live another 18 years. Similarly, a 65-year-old female retiree can expect to live to 21 years more. So, unless a retiree has some known terminal illness or other significant health issue reducing their life expectancy, tax-efficiency in retirement can take advantage of this time horizon.

Termed “stealth” taxes, tax-deferred account typically force retirees to begin taking requried minimum distributions (RMDs) at age 73. These distributions only grow, as a percent of a tax-deferreed account value, due to a shorter life expectancy for each year a retiree ages. Along with other factors, like the widows-penalty when a surviving spouse files their tax returns as a single, net-investment income tax, and income-related premiums for Medicare, these RMDs can be tax inefficient.

When you may not want to defer taxes

Unfortunatley, there is no single decision that a retiree can make to maximize their tax efficiency. But, for retirees with significant assets in tax-deferred accounts, the algorithms in our article “Seeking Tax Alpha in Retirement Income” are available online. We encourage you or your financial advisor to try our free online calculator. With it, you can see the amount of tax efficiency potentially available by accelerating tax-deferred distributions and avoiding RMDs.

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 tax-efficient investing with ETFs
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Optimal decisions under price dynamics for Roth conversions

As the April 15th tax deadline approaches, many retirees may be considering the trade-offs associated with Roth conversions. Seeking optimal decisions can be challenging! In this post, we highlight a peer-reviewed journal article recently published in the Financial Planning Review and add to our previous discussion on this topic.

Optimal decisions under price dynamics for Roth conversions
“Optimal decisions under price dynamics for Roth conversions”
James A. DiLellio, Philip M. Goldfeder, Edward F. McQuarrie

Timing your tax payments

Ordinary income taxes may occur during retirement from tax-deferred account distributions, like withdrawals from a 401(k) plan. However, by conducting a Roth conversion, a retiree can move these tax-deferred assets to a Roth account where future withdrawals are generally tax-free. But, to do so, they may owe taxes on the distribution. There are other rules too. For example, retirees may not convert required minimum distributions. Nevertheless, many financial planners consider Roth conversions when a client’s taxable income is unusually low, thereby taking advantage of lower tax rates in our progressive tax system.

Key Insights

This article provided many important insights when seeking optimal decisions on Roth conversions.

  • If funding the Roth conversion from retirement assets, the conversion will be solely dependent on future tax rates. Thus, the conversion will have a positive (negative) payoff if future tax rates are higher (lower) than the rate paid to convert.
  • If funding the Roth conversion from non-retirement taxable assets, the cost basis of these assets plays an important role. So, the lower the cost basis of these assets used to fund the tax liability caused by the conversion, the less likely that a positive payoff will occur.
  • Using non-retirement assets to fund the Roth conversion’s tax liability also creates a payoff dependent on market returns. Stronger market returns lead to a greater payoff. Also, the calculus of this optimal decision changes significantly whether the non-retirement assets will ever need to be used by the retiree, or if they will receive a step-up in cost basis when left to an heir.
DiLellio-Goldfeder-and-McQuarrie-2023-Optimal-decision-under-price-dynamics-for-Roth-conversion-FPR

The bottom line on optimal decisions for Roth conversions

Making an optimal decision on converting tax-deferred retirement funds to a Roth IRA is not simple. As the results of this research show, there may be situations where it is worthy of consideration. But, there are also many scenarios when Roth conversions should not be pursued. Not sure how it may affect your situation? Our optimal retirement income calculator now includes a Roth conversion analysis. And, you can try it for free!

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 tax-efficient investing with ETFs
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Inflation and Income Taxes in 2023

Happy 2023! Now is an excellent time to review changes to individual income tax brackets due to inflation. Here, we highlight the relationship between inflation and income taxes. To see details of all the 60 tax provisions changed for 2023, the Internal Revenue Service (IRS) published this document.

How inflation and income taxes are related

As we discussed in our post from last month, the Consumer Price Index (CPI) continues its downward trend. Unfortunately, the CPI of 7.1% for November is still above the long-term norm of 2-3%. However, there is some good news for U.S. income taxpayers in 2023. The IRS adjusts income tax brackets for inflation, so income and capital gains tax brackets in 2023 have increased by about 7%. The images below show these new brackets for income, capital gains, and the standard deduction.

Inflation and 2023 Income Tax Brackets for Single
2023 Income Tax Brackets for Single Filer
Inflation and 2023 Income Tax Brackets for Married Filing Jointly
2023 Income Tax Brackets for Married Filing Jointly
Source: https://taxfoundation.org/2023-tax-brackets

2023 tax rates on retirement income

So, income tax brackets recently changed in a significant way. Our optimal retirement income calculator now provides an updated forecast for after-tax retirement income using the 2023 tax brackets. Forecasts based on the Common Rule withdrawal strategy remain free for 2023. In addition, you can expedite your calculations by registering a free profile. For individuals or financial planners wishing to use our award-winning tool to see the details that led to their individualized tax alpha, please consider subscribing before the price goes up.

Click here to see your individualized tax alpha

Live Software Demonstration

On Saturday, January 14th from 10-11 am Pacific Time (1-2 pm Eastern Time), we will be conducting a live demonstration of our retirement income and retirement savings calculators, fielding your questions, and discussing new features planned for 2023. Please use the link below to join us at this time. If you wish, please contact us prior to this demonstration with any questions you may have or use cases you wish to see.

top view photo of people near wooden table
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Live Software Demo on January 14, 2023, from 10-11 am Pacific (1-2 pm Eastern)

If you are unable to make this live software demonstration, please contact us to arrange for an individual demonstration.

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 tax-efficient investing with ETFs
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Mitigating the effect of the Widow’s Penalty

During our webinar earlier this year, we highlighted one of the retirement income challenges called “The Widow’s Penalty”. This situation occurs when the surviving spouse is filing taxes as a single, instead of married filing jointly. In this post, we elaborate on the effect of this penalty on a fictitious couple we call John and Jane and show that tax-efficient retirement income can help mitigate its effect.

Case Study for John and Jane and the widow’s penalty

The bulleted list here summarizes John and Jane’s situation at the start of their retirement.

  • John and Jane retired this year in a community property state.   
  • John is 65 and has a life expectancy of 80.  Jane is 62 and has a life expectancy of 82. 
  • Their after-tax retirement income needs are $150,000 per year, reduced to $140,000 per year for the surviving spouse. (Today’s dollars)
  • Both have RMDs starting at age 72. 
  • Their heir’s marginal income tax rate is 25%.
  • John and Jane both have retirement assets tax-deferred ($800k, $100k) and tax-exempt accounts ($400k, $50k). John owns a taxable account valued at $1M with a cost basis of $300k in stocks and $272k in bonds.
  • Their asset allocation is 60%/40% stock/bonds in all accounts, and they increase bond allocation by 1% each year. 
  • John and Jane have annual pension income starting at age 65 of $18,500 each, and social security income starting at age 67 of $11,000 each.

As we showed in our previous post, if Jane is the surviving spouse, she can realize an additional 0.55% of investment return by drawing down from a mix of taxable, tax-deferred, and tax-exempt accounts. But, can this benefit still be realized if Jane lives longer?

Tax efficiency for a longer-living surviving spouse

In the example above, Jane lived for five years as a widow so needed to file her taxes as a single. Re-running our retirement income calculator and increasing Jane’s retirement horizon yields the following results.

Widow's penalty and opportunity for tax-efficient retirement income
Widow’s penalty and opportunity for tax-efficient retirement income

So, these results show that Jane can still increase the inheritance for her heirs if she lives up to 15 years as a widow. If she lives 25 years as a widow, she will exhaust all of her savings but will be able to increase her portfolio longevity by 3.5 years. Either of these situations is possible by not following the common rule for retirement account drawdowns but instead using optimal account drawdown decisions.

Want to see how the widow’s penalty may affect your retirement plan? We invite you to try out our calculator to see how your heir’s inheritance or your portfolio longevity may improve!

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 tax-efficient investing with ETFs
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Happy new year!

Happy new year from ETFMathGuy! In this post, we will provide some updates to our plans for 2022.

happy birthday to you wall decor
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New Priorities

As 2022 begins, we decided to reset our priorities for this website. Up until now, we provided the following services to our subscribers.

For 2022, we’ve decided that the cost to produce and maintain the free and premium portfolios was simply too high. We also recognized that, while these portfolios did exceed their objective in 2020, they did not in 2021. All premium subscribers will receive a pro-rated refund of their subscription payments shortly. In the meantime, free and premium subscribers can now access the final monthly portfolios, based on data through December 31, 2021.

Coming soon

So, after receiving very positive praise on our retirement calculator, we’ve decided to make improving it a priority. Also, thanks to significant feedback from individual investors and financial services professionals, below is a list of features we hope to provide in the near future:

  • Projection of retirement assets at beginning of retirement for pre-retiree planning
  • Optimized social security starting age for single or married couples
  • Medicare Income-Related Monthly Adjustment Amount  (IRMAA) tax
  • State taxes, as applicable
  • 3.8% medicare surtax
  • Roth conversions using either IRA or taxable account funds
  • Robustness checks with an automated sensitivity analysis for selectable uncertain variables
  • Risk assessment with simulation of uncertain stock market returns, life exptancy, after-tax income needs, and others
  • Real estate income and residual value
  • Support for Financial Independence, Retiree Early (FIRE)
  • Online storage of previous results for future reference

Of course, our retirement calculator already has many features discussed in the FAQ and listed at the top of the calculator. Also, if you are interested in greater details, you are welcome to download this whitepaper that we developed recently to describe the current model in greater depth.

We hope you have a wonderful 2022!

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 tax-efficient investing with ETFs
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Inflation and Tax Brackets

Inflation has been in the news quite a bit lately, as the CPI (Consumer Price Index) has shown a year-over-year increase of over 5% since June of 2021. Higher inflation means a loss of buying power. Fortunately, the U.S. tax system does take inflation into account when tax brackets are updated each year. In this post, we discuss the implications of updated tax brackets for 2022 due to inflation.

quote board on top of cash bills
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Note:  This post has been prepared for informational purposes only, and is not intended to provide, and should not be relied on for, tax, legal or accounting advice. You should consult your own tax, legal and accounting advisors before engaging in any transaction.

Income Tax

Income tax brackets determine what tax rates apply to each additional dollar of taxable income. These rates are especially important for retirees. Below are the 2021 and 2022 tax brackets. As you can see, the Internal Revenue Service has increased the income limits up for all rates and for all types of tax filers. Thus, if your taxable income did not change from 2021 to 2022, your after-tax income will likely increase.

2021 Income Tax Brackets
2022 Income Tax Brackets

Capital Gains Tax and Standard Deductions

Capital gains taxes, as well as the standard deduction, also have increased from 2021 to 2022 tax years. The increase in standard deductions is $400 for single filers and $800 for married individuals filing a joint tax return. These higher deductions mean that, all else being equal, a taxpayer will likely have lower taxable income, and higher after-tax income and gains. Also, higher income limits for capital gains mean that qualified dividends and long-term realized capital gains on most investments should produce fewer capital gains taxes.

Other Changes

While there are quite a few other changes to taxes in 2022, there is no change to the contribution to Individual Retirement Accounts. But, for those with access to workplace retirement plans, like 401(k)s, 403(b)s, and 457 plans, individuals can contribute $20,500 in 2022, an increase of $1,000 from 2021. While such a decision will defer taxes and should lead to higher account values in the future, anyone concerned about future tax increases may wish to consider contributing to Roth 401(k)s and Roth 403(b)s if their workplace makes them available. You may also wish to use our free online calculator to forecast your taxable and retirement assets in retirement.

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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Retirement tax alpha and optimal retirement drawdowns

Tax alpha refers to the additional rate of return generated by making tax-efficient investment decisions. For retirees, we provide an optimal retirement income calculator that models the U.S. tax code and determines an optimal drawdown strategy. Here, we discuss a recent upgrade to this calculator that quantifies your potential retirement tax alpha using an optimal drawdown strategy.

retirement tax alpha and your optimal retirement income strategy
Retirement tax alpha and your optimal retirement income strategy
Photo by Nataliya Vaitkevich on Pexels.com

What is alpha?

In the investment world, the return not captured by the movement in the broad market is alpha. Thus, for many investors, it means a risk-less return. In fact, we’ve even talked about it before in the context of CAPM and its counterpart, beta. Alpha and beta provide portfolio statistics important for consideration by any investor.

What is tax alpha?

Tax alpha is a relatively new term and may differ based on the source. We like the following definition.

If “alpha” is the return generated by an advisor’s skill in picking and managing investments, then “tax alpha” protects that return and generates a boost by making sure that taxes don’t eat away more of a client’s wealth than absolutely necessary.”

Source: https://www.atstax.com/p/what-is-tax-alpha

What about in retirement?

In retirement, tax alpha focuses on tax-efficient drawdowns. In addition, the industry standard for retirement income drawdowns from taxable, tax-deferred, and tax-exempt accounts is the Common Rule. The image below shows a summary of the default case used in our optimal calculator, which compares its results with those from the Common Rule.

Summary of Optimal Retirement Calculator. Source: https://app.etfmathguy.com/

This last line (line 4) indicates the value of tax-alpha of 0.57%. That is, a retiree would need to generate pre-tax returns 0.57% higher using the Common Rule to generate the same after-tax inheritance for their heirs. Therefore, by making optimal drawdown decisions in retirement, a retiree can expect to increase their investment returns using the Common Rule. Interested in seeing the details of this example or inputting your own assumptions for retirement? If so, please try our free online calculator.

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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Backtesting for 2021 and ETFMathGuy portfolio enhancements

Due to portfolio performance not meeting our recent expectations, we revisited our backtesting results from August 2018 and produced important new insights and portfolio construction enhancements. We discovered that a longer sample period, identified previously, no longer applied. The image below shows that a three-month sample period produced the best returns from January 2020 to August 27, 2021. Each point on this line plot represents annualized backtested performance for 19 monthly portfolios over this testing period.

Backtesting for 2021 to find the optimal sample period (months) for ETFMathGuy Portfolio Construction
Backtesting for 2021 to find the optimal sample period (months) for ETFMathGuy Portfolio Construction

What performance predictions occurred with this shorter sample period?

Using this shorter sample period, we produced the plot below of total return since January of 2020. We chose this time period to include the full pre and post-term effects of the coronavirus on the world economy. In addition, and based on subscriber feedback, we now exclude ETFs that issue K-1 tax forms to investors. We made this decision because these 22 ETFs had a marginal effect on backtested performance that used over 1,000 other ETFs that do not issue K-1s. We also increased our ETF filter threshold of median volume to improve liquidity for future portfolios that will likely have a higher turnover rate. The consequences of these decisions on backtested performance appear below.

Backtested Returns from 2020-2021 of the ETFMathGuy Optimal Portfolios
Backtested Returns from 2020-2021 of the ETFMathGuy Optimal Portfolios

Future ETFMathGuy portfolios

Given the improvement potential identified from this updated backtesting for 2021, all portfolios published in September 2021 and later will follow these updated findings. This update for the September portfolios will likely indicate a significant change from the August portfolios. However, future monthly portfolios will change less significantly. So, we encourage subscribers to log in and see the September ETFMathGuy portfolios that are based on this evidence-based analysis.

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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Recap of the first half of 2021

Greeting ETFMathGuy subscribers! This post is a reminder that the latest free and premium optimal portfolios are now available for your review. So, please log in and see how the latest market conditions have affected these ETF portfolios. To begin, we discuss value versus growth ETFs and recent trends in their returns.

Recent returns on value investing leveling off?

A few months ago, we wrote about how value-driven ETFs returned about 5% more in the first quarter than growth ETFs. Revisiting the returns of the ETFs IVV, VUG, and VTV for the first half of 2021 shows this gap has shrunk to 3% after growing to more than 10%. In fact, as the chart here shows, the value ETF is below its early May high, while the growth ETF appears to have begun a new upward trend.

Total returns of value and growth ETFs.
The total return of value and growth ETFs in the first half of 2021. Source: www.ETFReplay.com

Is the relationship between value and growth ETFs typical?

The relationship between two variables can be directly measured using correlation which varies between 1 and -1. So, a correlation of 1 between two investment returns indicates their returns are identical. Traditionally, the correlation between value and growth investments was around 75%. However, as this Wall Street Journal article highlights, the current correlation between growth and value is now below 25%.

Correlation between value and growth returns.
Source: Wall Street Journal, June 28, 2021, by James Mackintosh

Performance of the ETFMathGuy Premium Portfolios

Based on actual investment performance, the risk and return of the moderate and aggressive portfolios over the last 18 months appear below. Consequently, this period includes all of the calendar year 2020, and the first half of 2021.

ModerateAggressiveS&P 500 (IVV)
volatility (risk, annualized)19.5%22.5%21.2%
total return23.9%32.7%36.4%
Annualized risk and total return of the ETFMathGuy portfolios, 2020-2021 (18 months).

We will continue to update our ETFMathGuy portfolios with current market conditions using our updated backtesting calibration results. So, time will tell if value ETF investing continues to outperform growth ETF investing.

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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Backtesting ETF portfolios

Backtesting ETF portfolios is a very important part of validating any investment strategy that uses them. At ETFMathGuy, we backtest our optimal portfolio construction strategy periodically. Doing so ensures that our quantitative methodology stays calibrated to the highest performing portfolios. Here, we discuss the key findings from this recent analysis.

Backtesting methodology

Our backtesting methodology follows the same approach we used in our previous backtesting analysis. The key distinction now is our time period begins in 2014 and runs through April of 2021. Also, we focused on one-month holding periods this time. Why? Based on our previous results, we found holding periods between 1-3 months had little impact on returns.

Backtesting ETF results over a longer-term

Firstly, the chart below shows the result of changing the duration of the sampling period on the out-of-sample returns. Note that there are two local maximums, with the first occurring and the 6-9 months, but a second more substantial maximum occurring at about 39 and 45 months.

Annualized returns from backtesting differing sample sizes. Source: ETFMathGuy.com
Annualized returns from backtesting differing sample sizes. Source: ETFMathGuy.com

However, when a risk-adjusted return is considered, we can improve this calibration. In the next figure, we show the annualized return divided by the annualized volatility. Thus, it’s clear that the 39 month sample period is superior with this measure for the moderate and aggressive portfolios. For the conservative portfolios, there is only a slight degradation in risk-adjusted return over these 7+ years of backtesting.

Annualized returns / volatility from backtesting differing sample sizes. Source: ETFMathGuy.com
Risk-adjusted returns from backtesting differing sample sizes. Source: ETFMathGuy.com

Backtesting ETF results over a shorter term

We also backtested our quantitative strategy over a shorter interval of the last 15 months, from January 2020, through April 2021. Ideally, our backtesting results over the long-term, shown above, should agree with this shorter time frame. And, in fact, they generally do.

Annualized returns and risk-adjusted returns from backtesting differing sample sizes. Source: ETFMathGuy.com
Annualized returns and risk-adjusted returns from backtesting differing sample sizes. Source: ETFMathGuy.com

Once again, with the slight exception of the conservative strategy, the 36-39 month sample size provided the largest annualized returns and risk-adjusted returns.

Key takeaways

  • Backtesting provides an estimate on how our quantitative strategy would have performed based on historical time periods.
  • The best calibration for the sample period occurs around 39 months based on both absolute return and risk-adjusted return.
  • Longer-term and shorter-term backtesting provided similar calibration results.
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.