Sequence of Returns over a 20 year portfolio

Sequence of Returns over a 20 year portfolio

Understanding sequence of returns risk is one of the core concepts that affects retirement theory, yet it is so rarely talked about. We talk about how retirees should diversify their ortfolios, adopt the 4% rule, have non-correlating asset classes, or just have a plan for when the market goes down. Please see the Sequence of Returns Article/Video going over the basic math. This article focuses on the 4% rule and how Sequence of Returns Risk could affect an overall account balance.
The 4% rule is a rule of thumb for how much a retiree should withdraw from a retirement account each year. William Bengen created the 4% rule based on data from stocks and bonds over a 50 year period. “Bengen concluded that, even during untenable markets, no historical case existed in which a four percent annual withdrawal exhausted a retirement portfolio in less than 33 years.”
Have you ever wondered why if your account is earning 6% on average you can only take out 4%? Shouldn’t 5% or even 6% be fine for most situations without depleting your principal? As we detailed in the last article/video, slippage on a portfolio when you take withdrawals can occur where you need to earn much greater returns to bring a portfolio back to whole after a down market. So, let’s look at a hypothetical example where we have slippage occurring over a 20-year period.
RoR $100,000 4% withdrawal rate 2.5% inflation RoR $100,000 4% withdrawal rate 2.5% inflation RoR $100,000 4% withdrawal rate 2.5% inflation
5% $100,800.00 $4,000 -10% $86,400.00 $4,000 15% $110,400.00 $4,000
5% $101,740.00 $4,100.00 2.50% 10% $90,530.00 $4,100.00 2.50% 10% $116,930.00 $4,100.00 2.50%
5% $102,624.50 $4,202.50 2.50% 20% $103,593.00 $4,202.50 2.50% -10% $101,454.75 $4,202.50 2.50%
5% $103,448.16 $4,307.56 2.50% -10% $89,356.89 $4,307.56 2.50% 15% $111,719.27 $4,307.56 2.50%
5% $104,205.32 $4,415.25 2.50% 10% $93,435.81 $4,415.25 2.50% 10% $118,034.42 $4,415.25 2.50%
5% $104,889.95 $4,525.63 2.50% 20% $106,692.21 $4,525.63 2.50% -10% $102,157.90 $4,525.63 2.50%
5% $105,495.68 $4,638.77 2.50% -10% $91,848.09 $4,638.77 2.50% 20% $117,022.96 $4,638.77 2.50%
5% $106,015.72 $4,754.74 2.50% 10% $95,802.68 $4,754.74 2.50% 10% $123,495.04 $4,754.74 2.50%
5% $106,442.89 $4,873.61 2.50% 20% $109,114.89 $4,873.61 2.50% -10% $106,759.28 $4,873.61 2.50%
5% $106,769.58 $4,995.45 2.50% -10% $93,707.49 $4,995.45 2.50% 20% $122,116.60 $4,995.45 2.50%
5% $106,987.72 $5,120.34 2.50% -10% $79,728.44 $5,120.34 2.50% 10% $128,695.88 $5,120.34 2.50%
5% $107,088.76 $5,248.35 2.50% 10% $81,928.10 $5,248.35 2.50% -10% $111,102.78 $5,248.35 2.50%
5% $107,063.65 $5,379.56 2.50% 20% $91,858.25 $5,379.56 2.50% 15% $121,581.71 $5,379.56 2.50%
5% $106,902.79 $5,514.04 2.50% -10% $77,709.79 $5,514.04 2.50% -10% $104,460.90 $5,514.04 2.50%
5% $106,596.03 $5,651.90 2.50% 10% $79,263.68 $5,651.90 2.50% -10% $88,928.10 $5,651.90 2.50%
5% $106,132.64 $5,793.19 2.50% 20% $88,164.59 $5,793.19 2.50% 15% $95,605.15 $5,793.19 2.50%
5% $105,501.25 $5,938.02 2.50% -10% $74,003.91 $5,938.02 2.50% 10% $98,633.84 $5,938.02 2.50%
5% $104,689.84 $6,086.47 2.50% 10% $74,709.18 $6,086.47 2.50% -10% $83,292.63 $6,086.47 2.50%
5% $103,685.69 $6,238.63 2.50% 20% $82,164.65 $6,238.63 2.50% 10% $84,759.39 $6,238.63 2.50%
5% $102,475.38 $6,394.60 2.50% -10% $68,193.05 $6,394.60 2.50% 10% $86,201.27 $6,394.60 2.50%
Average RoR 5% Average RoR 5% Average RoR 5%
This is a purely hypothetical scenario where we take 3 portfolios that will average 5% over 20 years. Portfolio 1 has linear returns, portfolio two starts and ends with a downturn, and portfolio 3 starts and ends with an upturn. Each portfolio has you taking out a 4% withdrawal rate increasing for 2.5% inflation per year (year 2 $4100). You should notice the pure linear 5% rate of return per year performs the best ending at $102,475.38, and there is quite a bit of variance. Even if you had better initial years, you wouldn’t beat the 5% linear return in this model. This is why limiting volatility could matter in retirement. In fact, a really smart guy named Harry Markowitz won the Nobel prize helping to create Modern Portfolio theory where you typically look at returns and the risk needed to hit those returns. Then instead of purely maximizing returns you try to lower your risk for a specific return. This is one of the reasons most firms and advisors try to create diversified portfolios for clients. This is a big reason the 60/40 stock/bond split became popular as a rule of thumb.

Now let’s look at an actual market scenario using the S&P 500. On a side note, if you ever want to show poor market returns include 2000 to 2009 which constitutes the “Lost Decade” in the US.
Source Year Return Ending Value Withdrawal Withdrawal Rate
https://www.slickcharts.com/sp500/returns$100,000 2000 -9.10% $87,264.00 $4,000
2001 -11.89% $73,275.80 $4,100.00 2.50%
2002 -22.10% $53,808.10 $4,202.50 2.50%
2003 28.68% $63,697.29 $4,307.56 2.50%
2004 10.88% $65,731.93 $4,415.25 2.50%
2005 4.91% $64,211.52 $4,525.63 2.50%
2006 15.79% $68,979.29 $4,638.77 2.50%
2007 5.49% $67,750.47 $4,754.74 2.50%
2008 -37.00% $39,612.42 $4,873.61 2.50%
2009 26.46% $43,776.62 $4,995.45 2.50%
2010 15.06% $44,477.92 $5,120.34 2.50%
2011 2.11% $40,057.32 $5,248.35 2.50%
2012 16.00% $40,226.20 $5,379.56 2.50%
2013 32.39% $45,955.43 $5,514.04 2.50%
2014 13.69% $45,821.08 $5,651.90 2.50%
2015 1.38% $40,580.28 $5,793.19 2.50%
2016 11.96% $38,785.47 $5,938.02 2.50%
2017 21.83% $39,837.18 $6,086.47 2.50%
2018 -4.38% $32,126.93 $6,238.63 2.50%
2019 31.49% $33,835.44 $6,394.60 2.50%
Average RoR 7.68%
One of the first things that I find interesting is the 4% rule is going to work in absolute terms. If you go to SSA.GOV and calculate mortality, both men and women shouldn’t run out of money using the 4% rule. There of course is the problem of an 85-year-old person slowly depleting their assets when they could be facing catastrophic medical expenses. The average rate of return over these 20 years is 7.68%. Most people wouldn’t complain if I told them over retirement they would average 7.68% but clearly that didn’t work out here. This is one of the worst-case scenarios, but you may want to consider creating multiple models for yourself showing a variety of scenarios so you can figure out where your pain points are in retirement.

Some rules of thumb you may want to consider when looking at Sequence of Returns Risk:
  1. You may need a plan to manage your withdrawals over retirement, don’t just set it and forget it.
  2. Limiting your volatility may be desirable which is usually a different goal than match or beat the market
  3. What is your plan if the market goes down?
  4. Do you have a 1-4 year plan to mitigate a down market?
 
https://www.investopedia.com/terms/f/four-percent-rule.asp
https://www.macrotrends.net/2324/sp-500-historical-chart-data
https://www.ssa.gov/OACT/population/longevity.html
https://www.slickcharts.com/sp500/returns
https://www.investopedia.com/terms/m/modernportfoliotheory.asp
https://www.investopedia.com/terms/l/lost-decade.asp
 
Jon R Erickson CFP®, CEBS®

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