Wade Pfau on Fixed Time Horizons vs. Survival Probabilities for Retirement Planning

Saturday, April 28, 2012 09:35
Wade Pfau on Fixed Time Horizons vs. Survival Probabilities for Retirement Planning
The planning horizon for the 4% rule is 30 years, but how long will your retirement last?

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One of the key difficulties of planning a retirement income strategy is that none of us know for sure how long we will end up living. There are two general approaches to deal with this uncertainty, planning for specific retirement durations and making plans which specifically incorporate mortality data into the calculations.
In “Choosing a Retirement Income Strategy Systematically,” I described various measures for comparing and quantifying the performance of retirement income strategies. Some of those measures used mortality data and some didn’t.
Today I’d like to describe more about the implications behind each of these sets of longevity assumptions.
Planning for a Fixed Retirement Duration
The idea behind planning for a specific retirement duration is to choose a sufficiently long time horizon that one is unlikely to outlive, and then plan based on that. Bill Bengen thought that 30 years was a reasonable planning horizon for 65 year olds. Those who are either younger or older than 65 may need to plan for more or less than 30 years. And even 65 year olds may wish to plan for different retirement durations depending on how conservative they wish to be with their choice. Someone planning to live to 100 or 105 would need to plan for a 35 or 40 year horizon.
This is important because longer time horizons will guide optimal retirement income solutions toward:
  • using a lower withdrawal rate from one’s savings
  • using a more aggressive stock allocation with one’s savings
  • but also relying more on guaranteed income retirement products such as single-premium immediate annuities and variable annuities with guarantee riders
Writing in Harold Evensky and Deena Katz’s Retirement Income Redesigned, Bob Curtis made a convincing case for fixed horizons. He argued that longevity is not a “probability problem” but a “possibility problem,” adding, “What possible sense does it make to tell your client that she can spend more money now because you’re assuming in some of the Monte Carlo iterations that she’ll die early? How does a person die ‘some of the time?’”
Good question. But at the same time, does it really make sense to lower one’s spending now, because you are specifically planning to spend just as much when you are 105 as when you are 65, despite the less than 1% chance of living to 105?
Because the risk (and this risk varies from person to person depending on how much value they would get from additional spending) of planning for an overly long retirement is that you cut spending and miss out on enjoying your hard-earned wealth. It is conservative to plan for a longer horizon, because it means you will need to spend less and may end up leaving a larger than planned bequest. This risk is missing from traditional safe withdrawal rate studies which focus only on minimizing failure. One the other hand, the risk with planning for a shorter horizon is that you may overspend and end up outliving your wealth.
Planning with mortality data
The second general approach to dealing with the question of longevity is to incorporate survival probabilities directly into the analysis. Implications of doing this include:
  • a shorter effective retirement duration than the standard 30 years
  • support for higher withdrawal rates
  • greater use of bonds for systematic withdrawals
  • less need to annuitize part of one’s assets
The argument for using survival probabilities is that for a typical person retiring at age 65, conservatively assuming a 30-year remaining lifespan will needlessly cause one to use too low a withdrawal rate. In this view, the probability of running out of wealth should be defined as the probability of running out of financial wealth before death, rather than within an arbitrarily long period of time. With 2007 Social Security Administration Period Life Tables, and when considering a traditional 30-year retirement duration assumption, for 65-year olds the probability of surviving another 30 years to age 95 is 6 percent for males, 12 percent for females, and 18 percent for at least one member of a couple.
Another implication from using mortality data to investigate retirement income strategies is that for the measures I discussed here, such as average lifetime income, spending shortfalls below an income floor, and the value of lifetime spending (utility maximization), optimal behavior will favor strategies that have larger spending earlier on and potentially less spending later on, simply because the probability of surviving to those later ages is less. Optimal behavior means planning to spend less over time for reasons unrelated to the idea that retirees may simply want to spend less over time anyway (this latter point I explored in a recent Advisor Perspectives column). 
This is a case where the rational optimizing behavior from the economic model may not match what people think to do in reality. Leaving aside other issues about how spending may change by age for other reasons (including important potential health and care expenses), people may more naturally think in terms of spending the same at 90, as at 80, as at 70, etc. But at least I do think it makes some sense to accept the idea that if you do end up making it to a really advanced age, you will be willing to live a frugal lifestyle and keep the memories of all the more you enjoyed with the additional spending earlier in retirement. 
What Is This Decision Really About?
I think a good case can be made for considering the outcomes with both approaches. This gives more perspective and balance. It would be nice if both approaches provide consistent results, but I did explain some discrepancies, such as how guaranteed income retirement products will look more attractive as more weight is placed on spending deep into retirement, even though the probability of living to those advanced ages is small. By using both approaches, better decisions can be made by then thinking more deeply about how much weight you want to put on the distant future.
The choice between fixed horizons and mortality is really about determining how averse you are to outliving your wealth, and how much lower you are willing to reduce spending early in retirement in order to protect against adverse outcomes later on. Your appropriate planning age is an extremely personal decision. Since longevity is uncertain though, I think this does suggest making sure you at least have a floor in place of guaranteed income sources to meet your basic living needs for no matter how long you may live. The fundamental goal for retirement planning as described by the RIIA, after all, is to first build a floor and then expose to upside.

Related reading: RMA Curriculum Committee Member Bob Powell’s MarketWatch column, "Planning for retirement? Plan to live to 100"


Wade Pfau, Ph.D., CFA, is an associate professor of economics at the National Graduate Institute for Policy Studies (GRIPS) in Tokyo, Japan, and the curriculum director for the Retirement Management AnalystSM designation program. He maintains a blog about retirement planning research at wpfau.blogspot.com

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