Retirement Portfolio Survival: A 90-Year Study

While a conservative allocation lasts 35 years at a 3% withdrawal rate, higher withdrawal rates require greater exposure to stocks.

This article evaluates portfolio survival during the retirement years when money is being periodically withdrawn from an investment portfolio.

The time frame of this study is the 90-year period from January 1, 1926, to December 31, 2015. Four asset classes are represented in the study: U.S. large-cap stocks, U.S. small-cap stocks, U.S. bonds and U.S. cash.

The performance of U.S. large-cap stocks was represented by the S&P 500 index, U.S. small-cap stocks by the Ibbotson Small Stock Index from 1926–1978 and the Russell 2000 Index from 1979–2015, U.S. bonds by the Ibbotson U.S. Intermediate Government Bond Index from 1926–1975 and the Barclay’s Capital Aggregate Bond Index from 1976–2015, and U.S. cash was represented by 90-day U.S. Treasury bills.

The measure of success in this study is whether or not a retirement portfolio can survive intact for at least 35 years, which simulates a retiree from age 65 to age 100. Two retirement portfolio models were utilized in this analysis: a 25% stock/75% fixed income portfolio and a 65% stock/35% fixed income portfolio. The 25/75 portfolio is a conservative retirement model that consisted of 15% large-cap stocks, 10% small-cap stocks, 55% bonds and 20% cash. The 65/35 portfolio is more aggressive and consisted of 40% large-cap stocks, 25% small-cap stocks, 25% bonds and 10% cash. Both portfolios were rebalanced annually. Over this 90-year period, there were 56 rolling 35-year periods to analyze.

One of the critical variables that determines the success or failure of a retirement portfolio is the initial withdrawal rate. In this study, four withdrawal rates were evaluated: 3%, 4%, 5% and 6%. For example, if a retirement portfolio has a starting balance of $1 million and a 3% initial withdrawal rate is applied, the first year’s withdrawal will be $30,000. The annual withdrawal was assumed to take place at the end of the year (thus providing the needed funds for the next year).

The various withdrawal rates in this study (3% through 6%) simulate the varying financial circumstances of different retirees. Some retirees will have adequate retirement cash flow from their investment portfolio if using a 3% withdrawal rate, whereas others may need to withdraw up to 6% or possibly even more.

A second variable that is also very influential in the success or failure of a retirement portfolio is the cost-of-living adjustment (COLA). For purposes of this analysis, the COLA was set at 3%. The logic for this assumption comes from the fact that the average annual rate of inflation (the consumer price index) has been 2.91% over the 90-year period from 1926–2015. Thus, using the example above, the withdrawal in the second year would be $30,000 × 1.03, or $30,900. The withdrawal in the third year would be $31,827, and so on. [A summary of each annual withdrawal based on the four different initial withdrawal rates is provided here.] A starting balance of $1 million was assumed.

This analysis tested each retirement portfolio to determine how often it survived each of the 56 rolling 35-year periods under the four different withdrawal rate assumptions. The results are presented in Table 1 and Figures 1, 2 and 3.

3% Initial Withdrawal Rate

As shown in Table 1, both the 25/75 retirement portfolio and the 65/35 retirement portfolio survived at least 35 years in all 56 rolling-year periods from 1926 through 2015 under the assumption of a 3% initial withdrawal rate and a 3% cost-of-living adjustment.

Table 1. Portfolio Survival Rates at Varying Withdrawal Rates   

The table below shows the frequency at which a portfolio lasted 35 years using 35-year rolling periods from 1926 through 2015.
Initial Withdraw Rate From Portfolio (3% COLA Assumed) 25/75 Retirement Portfolio* Success Rate 65/35 Retirement Portfolio** Success Rate
3% 100% 100%
4% 93% 98%
5% 59% 91%
6% 34% 88%
*15% U.S. large-cap stocks, 10% U.S. small-cap stocks, 55% U.S. bonds and 20% cash.
**40% U.S. large-cap stocks, 25% U.S. small-cap stocks, 25% U.S. bonds and 10% cash. 

4% Initial Withdrawal Rate

Assuming a 4% initial withdrawal rate and a 3% cost-of-living adjustment, the 25/75 portfolio survived at least 35 years in 93% of the rolling periods while the 65/35 portfolio had a 98% success rate. Figure 1 presents the results in “tree ring” graphs: Each dot in the graphs represents a 35-year period using historical returns, with the first period being 1926–1960. The second period was 1927–1961, and so on. The outer edge of the graph represents a 35-year survival period—the goal of the retiree. The inner rings represent successively shorter survival periods in five-year increments (30 years, 25 years, 20 years, and so on).

It should be noted that in many cases, the two portfolios lasted longer than 35 years. This analysis truncated the longevity of the portfolio at 35 years to simplify the graphing of the results. Of more interest was determining when, and how often, the retirement portfolio failed to last 35 years. This analysis considered a 35-year survival period a “success” and did not graph the full length of the portfolio’s survival.

The 65/35 portfolio survived in all 35-year periods but one: 1929–1963. During that specific period the 65/35 model lasted 24 years before running out of money. The U.S. stock market crash associated with the Great Depression began in 1929. The annual returns of the 65/35 portfolio between 1929 and 1932 were, respectively, –14.2%, –17.6%, –30.3%, and –2.3%. When a retirement portfolio suffers several large negative returns “out of the gate” (in the starting years of the retirement period), it is very difficult for the portfolio to recover, inasmuch as the retiree’s annual withdrawals exacerbate the market-induced losses. This is known as sequence-of-returns risk. Portfolios that include equity (and equity-like) asset classes tend to be more susceptible to sequence-of-returns risk. Conversely, portfolios that have larger allocations to fixed-income asset classes face less sequence-of-returns risk, but often cannot generate a sufficiently large enough return to last for 35 years. The 25/75 portfolio lasted 29 years during that same time period beginning in 1929.

5% Initial Withdrawal Rate

At a withdrawal rate of 5%, the 25/75 portfolio survived at least 35 years in 59% of the rolling 35-year periods. Figure 2 illustrates the results graphically. It is instructive to note that the 25/75 portfolio was able to last at least 35 years only in more recent time periods (starting with the 35-year period that began in 1953). This is due to bond returns that began perking up in the mid-1960s, followed by dramatically higher bond returns beginning in the early 1980s as the Federal Reserve’s discount rate began its descent. The 65/35 portfolio survived in 51 of the 35-year periods, a success rate of 91%. The benefits of a diversified retirement portfolio that has a larger allocation to equities is clearly evident at higher withdrawal rates when compared against the more conservative 25% stock/75% fixed income portfolio.

6% Initial Withdrawal Rate

Finally, I subjected the two retirement portfolios to a 6% initial withdrawal rate and a 3% cost-of-living adjustment over all 56 rolling 35-year periods. The 25/75 portfolio survived in only 34% of the periods. As can be seen in Figure 3, starting with the 1963–1997 period, the 25/75 portfolio survived for at least 35 years in every case. Again, that is a function of the buoyant bond returns that began in the early 1980s. Remember that the 25/75 portfolio has a 55% allocation to U.S. bonds.

Consider the following: The average annualized return for U.S. bonds during the 34-year period from 1948–1981 was 3.8%, versus 8.2% over the 34-year period from 1982–2015 (using the returns of the Ibbotson U.S. Intermediate Government Bonds Index from 1948–1975 and the Barclay’s Capital Aggregate Bond Index from 1976–2015). That dramatic difference allowed the 25/75 portfolio to sustain a high withdrawal rate of 6%, but only in more recent 35-year periods. It is unlikely that bond returns over the next several decades will be able to support a 6% withdrawal rate in a 25/75 portfolio.

The 65/35 portfolio handled a 6% initial withdrawal rate surprisingly well, surviving in 88% of the rolling 35-year periods. However, its worst period (1929–1963) resulted in complete depletion within 12 years. This was worse than the 25/75 portfolio during that same time frame (the 25/75 portfolio lasted 17 years). This is a classic example of a worst-case sequence of returns at the start of retirement.

 

Retirement Portfolio Survival: A 90-Year Study Video

We think you’d like this related webinar! Craig Israelsen’s Retirement Portfolio Analysis: A Multi-Decade Review


Summary

This analysis of retirement portfolios over rolling 35-year periods clearly demonstrates the superiority of a moderate risk 65% stock/35% fixed income portfolio during retirement in comparison to a conservative 25% stock/75% fixed income portfolio. As interest rates increase in the future, the performance tailwind that U.S. bonds have experienced over the past 3½ decades will certainly turn to a headwind, with a potential downside of bonds retreating to the levels experienced between 1948 and 1981.

This does not suggest that bonds be abandoned as a component of a retirement portfolio. Rather, it suggests that bonds should be surrounded by a variety of additional asset classes that may thrive during times when bonds may be languishing.

To that point, a wide variety of asset classes are now available for use in a diversified retirement portfolio that were not available during the 90-year period of this study, such as Treasury Inflation-Protected Securities (TIPS), international bonds, natural resources, real estate investment trusts (REITs), emerging stocks, U.S. mid-cap stocks, and many others.

Diversification is a tenet of investing that extends across the life-span—from young investors in their early 20s to retirees in their late 80s.

Discussion

William Hungiville III from FL posted over 10 years ago:

Very good article, as usual, from Dr. Israelsen.


Bryant Vann from VA posted over 10 years ago:

Nice analysis of historical data and presentation of the results! Would LOVE to see you repeat this with higher stock %s, some of the newer investment vehicles you mention, inflation/COLAs in the current ranges of say 8 to 10% as reported at chapwoodindex.com and shadowstats.com, and, perhaps lower payout ratios if that's necessary to last 35 years. Keep up the good work!


Jim Snide from OH posted over 10 years ago:

If the majority of one's retirement funds are in various IRAs, then one must at 70 1/2 start taking Minimum Required Distributions MRD's. The initial withdrawal starts at 3.65% and increases each year based on ones calculated remaining life and is 6.1% at age 83 and so forth. The rate of withdrawal is not constant as in your model, but increases every year. Perhaps the model, should consider taxable investments of the excess of the MRD beyond set percentages in your model and the effect of taxation on the withdrawals? I do appreciate your demonstration of the importance of higher allocation to stocks in a retirement portfolios - especially in the current interest environment for bonds.


Daniel O'Brien from IL posted over 10 years ago:

This article closing matches what I am doing with my retirement plan (assuming living to 100). However, my assumption for stock returns is lower then it has been for the pass 90 years. The dysfunction (debt levels, bad economic policies) by the federal government will certainly have a negative impact on returns for the foreseeable future.


John Rogers from CO posted over 10 years ago:

If I invest in a portfolio of dividend growth stocks and ETFs yielding 4% and growing at from 6 to 10%, I'll never run out of money.


John Blevens from CA posted over 10 years ago:

I plan on increasing the bond portion of my portfolio as I increase in age, not keep a set percentage until death. When I am 90 (if I am still around) I will have approximately 90 percent in bonds.


Herbert Schechter from MN posted over 10 years ago:

It is too shallow an approach to put your strategy on autopilot. Judgment must be exercised along the way to adjust for changing circumstances. Inflation, interest rates and dividends can go up or down, not necessarily together. Industries change. New companies emerge while others fail. The study is based upon average results during the historical period. After 30 years of declining interest rates, do you think the next period will be the same as the last? Interest rates have almost no place lower to go. This study in interesting history, but not the recipe for having a secure retirement.


Richard Cloutier from Georgia posted over 10 years ago:

A while back, I read an article which backtested withdrawal rates, not only on the basis of asset allocation, but also tested which asset categories from which to withdraw. For example, rather than withdrawing fixed amounts from each of the asset categories to make up a 3% annual withdrawal, the report looked at making withdrawals only from overvalued categories. This report looked at measuring stock valuations using CAPE and withdrew a majority (if not all) of the annual distribution from stocks, if they had a high CAPE rate. I thought it was an interesting perspective on the withdrawal debate.


Robert Greving from TN posted over 10 years ago:

Good article and analysis. I wish that analyses such as this took into consideration effective tax rates. I assume that the investor must pay taxes from the withdrawals they take. That can materially reduce the amount available for living expenses.


Victor Stankevich from NC posted over 10 years ago:

It would interesting to see additional portfolio allocations particularly in the more aggressive range; e., 80/20.


David Levine from NC posted over 10 years ago:

All interesting. I retired in 1998 and needed my portfolio to last at least 45 years as I was 58 and my wife was 52. My split was 35/65 equities/fixed income. When I retired most advisers thought 6% as a withdrawal rate was extremely conservative and 8% was more realistic - We were in a period of 15% / 20% market returns. I chose 3% as a withdrawal rate. The point being your guru/investment adviser is influenced by the most recent market returns but you can not reduce your withdrawal rate when the investment market turns against you. The other caveat I would make you aware of is when in 2008 you loss 38% in your equities did you sleep well or did you sell some. If you slept well then 2009/2010 markets did well by you. None of us know the future but you should know yourself and how well you can handle market downturns like 2008 or long term unmoving markets like the mid 60S through the early 80s. Remember it is a market out there and there is no magic. If you want to have more than market returns you must have more than market risks. Check your fees as that is just money out the window; unless your broker is delivering weekly cases of Veuve Clicquot to your doorstep. Please educate yourself and remember AAII has a weatlth of educational materials and studies; make use of them.


G. Michael Frey from OH posted over 10 years ago:

I am going to be 64 next month, and have generally embraced the "4% rule" as being a rational way to extract funds from retirement accounts. However, that being said: The market is NOT static...it fluctuates wildly, and the interest rate trends as of late (i.e. essentially zero rates) will not last forever. My gut feeling is that high quality dividend yielding stocks will do better than bonds, in the next several years (i.e. IMHO, reversion to the mean). Since interest rates are now more likely to rise than fall, I think owning stocks like XOM, PG, WMT, PFE, RTN, MSFT, AAPL, etc. are the way to go (some modicum of growth PLUS solid dividends over time). This upcoming presidential election may also throw in interesting "wrench into the gears"; there is not clarity or consensus on how the current presidential candidates will affect the market for equities.


Gary Jaffe from CA posted over 10 years ago:

The conclusion that a 65/35 equity/bond allocation will outlast a 25/75 equity/bond portfolio is useful -- but omits key asset classes. I have owned a portfolio of closed-end preferred stock funds for the past 24 years. My portfolio has beaten both the S&P 500 and the Barclays bond average with half the risk (Sharpe Ratio). My portfolio yields 8% and holds mostly investment grade securities. I withdraw 6% per year and leave 2% to cover inflation. I don't have to decide what assets to sell to generate income since my dividends arrive monthly. I have not had to sell any of my asset principal to generate income. I own no equities whatsoever and will not outlive my portfolio.


George Carter from WA posted over 10 years ago:

I would be interested in a comparison of 100% stock mutual fund, say the S&P500 index returns. This would eliminate the hassle to rebalance the stock/bond ratio which creates additional taxes when selling the higher flying stocks, too. As for the market corrections, one needs to focus on the rebound and taking 4%-6% out is not going to deplete the stock quantity which always recover value (e.g. returns since 2008 ~300%).


Dave Gilmer from WA posted over 10 years ago:

This was an interesting article and I especially liked the circle charts giving a good feel for which sequences ran out of money. However, the author bias the results to the downside (more years running out of money) by not using actual CPI data for the expense adjustment. You really shouldn't use average CPI data for the same reason you shouldn't use average return data. It misses the sequence risk, either positive or negative that exists from actual data. For instance in 1930 the CPI was -6.4%, in 1931 it was -9.3%, and in 1932 it was -10.3%. If fact using actual CPI data (furnished by Jim Otar's aftcast program) if the withdrawals started in 1929, it was not until 1944 before the investors actual CPI expenses got back above the original starting amount. In fact after 35 years starting in 1929 with a 65/35 AA and 4% CPI adjusted withdraw rate the investor has more money than he/she started with.


Dave Gilmer from WA posted over 10 years ago:

@ George, You can really eliminate the hassle of adjusting the stock/bond allocation by owning a balanced fund such as the Vanguard Wellington, or if you want to use indexes then use a Vanguard target date fund, with the "date" adjusted to your own risk tolerance. In general I have run many of these simulations using real stock data and CPI data and 100% stock positions do not fair well (some cases run out of money) when you approach a 4% and above withdrawal rate. Now you may say "well 90% of the time I will have plenty of money due to good stock market results." That is not how I prefer to design retirement scenarios -- if you run out of money "once" there is no second chance, so it is better to be conservative. What I have found is that as little as 20% bonds can start having a positive affect on your results. The sweet spot seems to be in the 30-60% bond range. There is also some recent work that indicates increasing your stock allocation after the first few years of retirement will improve your results. The reason being you are most subject to the dreaded sequence of return risk during early retirement.


Rick Haas from Michigan posted over 10 years ago:

At 71 years old I listened to all of the 3% to X% talk with great interest when I was younger. Then came reality last year. I reached 70 ½ and sat down with my investment companies to talk X%. Every time I said x% then answer came back “...that X% is up to you if want to deal with the IRS. All we can do for you is tell you the RMD that you owe the government. Just submit the request for the RMD so we can get the paper work done. Otherwise you will have to submit a separate special request for distribution and that could take awhile...’ When I protested to upper management I got the response “...all we are trained to do is submit RMD processing. If your investment advisor wants to submit a separate plan that we will keep on file for the IRS we can do that...” Since I am my own investment advisor I went with the RMD for now...


Bob Atwell from AZ posted over 10 years ago:

Did everyone not notice that absolutely every "failure" occurred in earlier years. Clearly something has changed over time and the underlying variable is NOT random. Imagine an experiment where somebody flips a coin 100 times and it comes up heads 50 of those times. That might seem reasonable until we then discover that it came up heads on the first 50 flips and tails on the next 50 flips. The probability of that happening with an unbiased coin is very nearly 0.


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