## Executive Summary

The fundamental purpose of the so-called “4% rule” is to determine an appropriate “income” or spending floor that is low enough to survive potential sequence-of-return risk – at least, based on the worst return sequences that can be found in the historical data. If market returns going forward turn out to be as bad as scenarios like the Great Depression or the stagflationary 1970s – from which the 4% rule originated – the portfolio is still anticipated to sustain inflation-adjusted spending to the end of the 30-year time horizon. If returns are better, there will simply be “extra” money left over.

Yet the reality is that in the overwhelming majority of scenarios, returns are not

sobad as to necessitate a 4% initial withdrawal rate in the first place. In fact, by applying the 4% rule, over 2/3rds of the time the retiree finishes withmore than doubletheir wealth at the beginning of retirement,on topof a lifetime of (4% rule) spending! Half the time, wealth is nearly tripled by the end retirement, as retirees fail to spend their upside!Accordingly, a more dominant approach is to plan in advance that if the portfolio gets “far enough” ahead, spending can be increased – but not increased so quickly that the retiree might have to go backwards shortly thereafter. Of course, the reality is that retirees experiencing a “favorable” sequence of returns will inevitably sit down for a portfolio/retirement review and realize they are so far ahead that it’s “safe” to increase spending anyway. But as it turns out, a relatively simple ratchet-style approach, where spending is increased by 10% any time the portfolio rises more than 50% above its starting value, can “dominate” the traditional 4% rule, generating equivalent or better retirement spending in all scenarios, even while being conservative enough to not require a spending cut in the event of a market pullback in the future.

## The Surprising Upside Of A 4% Safe Withdrawal Rate

The origin of the safe withdrawal rate was actually rather straightforward – it’s simply the initial withdrawal rate that would have sustained inflation-adjusted spending in the worst case scenario in (US) history. In point of fact, the historical initial withdrawal rate that would have worked for a 60/40 portfolio over any particular 30-year time horizon has varied between 4% and 10%, and the median is close to 6.5%. But since we don’t necessarily know up front whether the *next *30 years will be more like the average, the highs, or the lows, the idea of the safe withdrawal rate was simply to treat *every *time period as though it might turn out to be the worst.

Accordingly, if the next 30 years turn out to be another stretch of horrible market returns like the other time periods that necessitated a 4% initial withdrawal rate, the 4% rule will “work” and the portfolio will make it to the end (albeit just barely). And if the results are better – e.g., a 5%, 6%, or even 10% withdrawal rate would have worked, but the retiree *only *followed the 4% rule – there will simply be “excess” money left over. Better safe than sorry?

Yet the caveat of the 4% rule is that in reality, *the overwhelming majority of historical scenarios *do not necessitate a 4% rule, or anything close, and come out with a *significant* excess of unspent wealth at the end. As noted earlier, the *average *initial withdrawal rate that would have worked was over 6%. And by withdrawing only 4%, *and allowing the portfolio to compound higher*, the reality is that the 4% rule actually has a remarkably high probability of leaving over a significant amount of remaining wealth by the end of the 30-year time horizon.

As the chart above reveals, in only 12 of the 115 rolling 30-year time periods running from the early 1870s to present did the retiree who started with $100,000 in an annually rebalanced 60/40 portfolio finish with anything *less* than the original principal, even after doing a lifetime of inflation-adjusted spending starting at a 4% initial withdrawal rate. And those scenarios that did finish with less were all retirees who had the misfortunate of retiring just before a ‘calamitous’ economic event, including the eves before the crash of 1907, World War I (and the post-war inflation spike), the Great Depression (including the second downturn in 1937), and leading up to the stagflationary 1970s. In the “modern era” of markets since the 1920s, such a less-than-starting-principal outcome has only occurred four times: those retiring in 1929, 1937, 1965, and 1966.

In fact, not only do 90%+ of retirees finish with more than their starting principal after 30 years by following the 4% rule (so even if you outlive the time horizon, there’s still funds left over), the “typical” retiree actually finishes with many multiples of their starting wealth with this spending approach! Over 2/3rds of the time the retiree finishes with *more-than-double *their initial principal left over. And the median wealth at the end of 30 years is almost 2.8X principal! One-in-six scenarios finish with more than *quintuple *the retiree’s initial wealth! Since the 1920s – the “modern era” of stock investing (as illustrated by the classic Andex Charts based on Morningstar/Ibbotson data) – *the odds of doubling wealth is 80% *(on top of lifetime spending using the 4% rule), the median wealth at the end of the time period is 3.7X starting principal, and more than 1/3^{rd} of retirees would have finished with over 5X their starting retirement portfolio!

Of course, in some of these situations, final wealth is augmented by decades of compounding inflation. Nonetheless, even on a *real *(inflation-adjusted) basis, retirees finish with more than 100% of their *inflation-adjusted *principal 60% of the time, and double their *real* wealth almost 1/4^{th} of the time, even after supporting a lifetime of inflation-adjusted spending at a 4% initial withdrawal rate!

Notably, then, while some have raised the question of whether the 4% rule is “too high” given today’s low return environment (even though the reality is that 4% rule was created *for *low-return environments, as average returns would allow a nearly 6.5% withdrawal rate!), the alternative criticism raised by some like Bill Sharpe is that the 4% rule is highly “inefficient” because it actually has such a high probability of *excess *wealth. After all, the data *does *show that *most* of the time, following a 4% rule just leaves over many multiples of a retiree’s starting principal left over, revealing (at least in retrospect) that most retirees actually could spend far more, either initially or by increasing spending along the way.

## Ratcheted Spending Increases From A “4% Rule” Floor

While the 4% rule was created as a means to set a minimum income *floor* – a spending amount low enough that, even if “bad” things happen, the withdrawals will be low enough to be sustainable until/as the market recovers – that doesn’t mean spending can *never *be raised. After all, a few years into retirement, it should be clear whether that adverse sequence-of-return-risk event has or has not occurred. No planner is going to sit down with a client who is 86 years old and retired with $1,000,000, who is now up to $5,000,000 thanks to a great bull market in early retirement, and say “No, you shouldn’t spend a single dime more than $75,000/year, because that’s what your inflation-adjusted spending would be based on that initial 4% withdrawal rate we set 21 years ago” even though that’s *clearly *far less spending than the account can support given what’s happened during the intervening years. Obviously, at *some *point, when returns have been good, it’s safe to spend more, and in the real world people can and do make such adjustments.

The caveat is just that such upward spending adjustments were not explicitly covered in Bengen’s original 4% rule research. Instead, it was just “implicitly” assumed, as financial planners (including Bengen himself) still regularly meet with clients on an ongoing basis, that at *some *point there will be a review meeting where it’s clear that the retiree is *so *far ahead of the original projections, that it’s safe to spend more. In other words, we know that there will be situations where the results are ahead of the worst case scenario and it’s safe to spend more. But what we *don’t* know – at least based on the research to date – is *how far ahead* does the account need to be, in order for it to be “safe” to increase spending and raise the income floor, without the risk of going backwards?

As it turns out, it doesn’t take all that much. A notable consistency amongst all the scenarios where the retiree fully or nearly depletes wealth with a 4% rule (e.g., retiring just prior to World War I, in 1929, in 1937, in 1966, etc.) is that due to early adverse market returns, the account balance *never *gets much higher than its starting point. Or viewed another way, *it turns out that any time the account balance ever grows 50% above of its starting value (after withdrawals), the portfolio is already far enough ahead that it won’t be depleted in a 30-year time horizon and there will be extra money left over.*

Accordingly, a simple way to establish a new, higher income floor is simply to commit that spending will only be increased (above and beyond annual inflation adjustments) once the account balance grows 50% about its initial amount. So for a retiree with $100,000, there’s no extra spending increase until the account value is over $150,000. For a retiree starting with $1,000,000, the target is $1.5M.

Of course, the caveat as well is that while growing the account more than 50% above its starting value does allow for “room” to ratchet the spending floor higher, it’s important not to ratchet it up *too *much or *too *quickly, or the new higher spending will overwhelm the available assets, even after the early growth, and force a later setback. Thus, for instance, the “rule” might be that any time the account balance is up 50% over the original value, spending is increased by 10% (over and above any ongoing inflation adjustments), but such spending bumps can only occur once every 3 years at most (to avoid having spending ratchet too high too quickly).

As an example of how this might work, the chart below shows inflation-adjusted (real) spending by applying this rule in three different starting scenarios – a retiree starting in either 1966, 1973, or 1982. With the 1966 retiree, the spending “kicker” never happens; due to years of poor market returns and high inflation, the account balance never even gets 20% above its initial starting value, much less to the up-50% target. As a result, a 4% initial withdrawal rate (or $4,000 on a $100,000 portfolio in the chart), adjusted each year for inflation, simply results in $4,000/year of lifetime inflation-adjusted spending with no positive adjustments. For the 1973 retiree, the account balance falls behind initially (with the market crash in 1973/1974), but eventually in the second half of retirement, it has more than fully recovered and finally grows above the 50%-of-starting-balance threshold, resulting in a series of upwards ratchets that occur in the last decade of retirement. In the case of the 1982 retiree, and a bull market from the start, the retiree benefits from a ratchet every three years throughout retirement.

In fact, the ratchet approach increases spending at least once (if not multiple times) in almost all historical scenarios; the *only* times a ratchet does not occur are the scenarios that had adverse sequence-of-return events, where the portfolio barely had enough money to last for 30 years in the first place. In those scenarios, the positive spending adjustments never occur because the up-more-than-50% threshold is never reached; as a result, even with the potential for spending increases, final spending is simply the same as following a no-increase 4% rule in the first place. The chart below shows these outcomes (assuming an initial withdrawal rate of 4% on a starting balance of $100,000), and how much higher inflation-adjusted spending was in the 30th year with the ratchet approach versus the traditional 4% rule approach; in scenarios where the results are the same (the two lines are both at $4,000), an unfavorable sequence of returns meant there was no upwards spending ratchet ever applied (the account balance never grew to more than 50% above its starting value, and so the ratcheted spending was simply the same as no-increase spending).

Of course, these ratcheted spending increases along the way do have a “cost” – the cost is that final wealth will be lower, as the retiree is literally spending more of that excess wealth during retirement. Which, of course, *is the whole point*!

Nonetheless, *none of the scenarios run out of money, even with the spending increases, nor does spending ever need to be cut to ensure the sustainability for 30 years*. In other words, just as the purpose of the 4% rule is to set spending low enough that even if an adverse event occurs, spending can be maintained, the point of these ratcheting rules is that – like a ratchet – spending adjustments only move in one direction (up) and never backwards, by applying them in a manner conservative enough that they simply maintain an ever-increasing income floor, not unlike setting a rising spending floor with an annuity guarantee (but without an actual annuity contract and the associated cost).

In fact, arguably these particular targets for the size of spending increases and the target threshold to apply them are still “too” conservative, as even with the spending ratchets, many scenarios still finish with *significant *wealth left over. Nonetheless, the excess wealth is at least “somewhat” diminished – especially in the scenarios with the greatest upside – in exchange for retirees being able to spend as much as *double *their inflation-adjusted spending throughout their retirement! Of course, in situations where final wealth was *already *quite low, there are generally no upwards spending adjustments, and final wealth simply finishes at the same level it would have been anyway.

## The Ratcheting 4% Rule Is A Dominating Floor-With-Upside Dynamic Spending Strategy

In the world of game theory, a strategy achieves “dominance” compared to the available alternatives when it provides superior outcomes in all situations. In the context of safe withdrawal rates, the “ratcheting 4% rule” can be called a “weakly dominant” strategy over the traditional approach; while the lifetime spending outcomes are not* always *better, they are usually better, and at worst they are merely the same (and never worse). And because the spending floor moves upwards when it is “safe” to do so, in a manner that never needs to move backwards, it is never triggered in situations that could lead to a more-rapid depletion of assets.

Notably, the idea of “dynamic” spending strategies – as opposed to just using safe withdrawal rates as a blind autopilot program that is *never *adjusted – is actually not new. Financial planner Jon Guyton did a series of studies in 2004 and 2006 applying what he called the “Capital Preservation” and “Prosperity” decision rules; the former was a rule that allowed for spending to be cut if withdrawals rose to be a dangerously high percentage of the then-current portfolio (because spending growth was outpacing portfolio growth), while the latter was a rule that allowed spending to be increased if portfolio growth was especially favorable.

However, the caveat of dynamic spending strategies like Guyton’s decision rules is that they *did *include the potential for spending cuts, albeit in exchange for what was a materially higher initial withdrawal rate. For some clients, such spending flexibility is quite feasible, and they are willing to engage in the trade-off of higher initial spending in exchange for the risk that spending may have to be cut in the future.

For others, however, a pure “spending floor” approach is preferred – a scenario where spending increases may happen, but are done in a manner conservative enough to avoid any anticipation of future spending cuts. In essence, the ratcheting 4% rule is done as though the Guyton decision rules are being applied, but using *only *a prosperity rule and *not *a capital preservation rule; as a result, *initial *spending isn’t any higher (as that cannot be “safely” done if no spending cuts are permitted), but *future *spending can still be adjusted with favorable market results that ratchet spending higher when it’s clearly safe to do so.

Notably, while this simple ratcheting 4% rule dominates the outcomes of the “traditional” safe withdrawal rates approach, there is clearly still room for further research about other/”better” ways to apply ratchet thresholds, as well as the magnitude of the ratcheted spending increases. For instance, given that some scenarios have truly extraordinary excess wealth – e.g., those who retire on the eve of a *significant* bull market – it may be feasible to apply a *second *threshold, perhaps more than 200% of initial wealth, where even greater spending increases can be applied.

Nonetheless, while the purpose of this brief study is not to be the conclusive and perfectly optimized version of a ratchet rule, it is a demonstration that such rules can be created and applied relatively easily, in a manner that quickly dominates the traditional approach – or at least, can be applied in a more rigorous manner than retirees simply making ad hoc decision that their account balance is “far enough” ahead without any clear threshold criterion for knowing when to make the change.

In turn, these results also suggest that at least some of the criticism of the “inefficiency” of the 4% rule – a la Bill Sharpe – are based on an inappropriate and overly strict application of the 4% rule as though it’s a blind autopilot program, even though in practice it was likely never intended to be (as Bengen himself was a financial planner who regularly met with and monitored the situation for his retired clients!). In fact, *the higher lifetime spending supported by the ratcheting 4% rule is arguably a better baseline against which all future retirement research should compare*, given its strategic dominance in all historical scenarios.

*So what do you think? Does the ratcheted 4% rule seem like a prudent approach to retirement income, to manage the potential upside of a conservative initial spending floor from a portfolio?*

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