The Psy-Fi Pages

Monday, 9 June 2014

The Dangerously Miasmic Myth of a 4% Safe Withdrawal Rate

Miasma

One - rare - area where academic economic research intersects with the interests of private investors is on the topic of Safe Withdrawal Rates - the maximum amount you can safely withdraw from your investment pot each year following retirement. Opinion is divided on exactly how much is safe, but the general consensus is somewhere in the region of 4%.

Of course this is utter baloney. As usual, when academic analysis meets commonsense understanding it creates a perfect miasma of miscomprehension and, no doubt, bad retirement planning. Your safe withdrawal rate is dependent on you, not on some mythical, half-baked rule of thumb.

History

In Greek mythology a miasma is a contagious infection with an independent life of its own. In finance we see these all the time in the form of memes, ideas that infect and pollute the investing mindset of many an erstwhile trader (see Memes, Money, Madness and Diworsification is Good For You for other examples). And the only way to deal with the pernicious little blighters is to track them back to their lairs and ruthlessly exterminate them. Many a lurking meme fails when exposed to the cold light of rationality.

So, the original research behind the Safe Withdrawal Rate came from William Bengen in 1994, in a paper entitled Determining Withdrawal Rates Using Historical Data. Bengen's paper is full of reasonable assumptions, but the main ones are that the portfolio asset allocation is 50/50 US equities and US treasuries and the Safe Withdrawal Rate is one in which your portfolio lasts for 30 years before possibly running out of money. And the magic number turns out to be 4%: you can withdraw 4% of your starting value each year, up-rated for inflation, regardless of the underlying performance of your portfolio.

One of the critical things here is that the 4% is based on the starting value of the portfolio - so if you're unlucky enough to retire on the cusp of one of the great stockmarket collapses then you very rapidly end up withdrawing a huge percentage of that starting value each year, and thus diminishing your pot of capital very quickly. Unsurprisingly Bergen's research shows that, based on historical market returns, as you increase the rate of withdrawal then you increase the likelihood of running out of funds. And this, my friends, is where the recommended Safe Withdrawal Rate of 4% comes from. 

Bond Busting

Only, as Bengen points out in his original paper, the actual evidence suggests that you'd be stupid to go for a blended 50:50 portfolio of stocks and bonds:
"I think it is appropriate to advise the client to accept a stock allocation as close to 75 percent as possible."
Yet, despite the data clearly supporting a more aggressive allocation towards equities, you can almost sense the unease he feels recommending this:
"An asset allocation as high as 75 percent in stocks during retirement seems to fly in the face of conventional wisdom, at least the wisdom I have heard. But the charts do not lie, they tell their story very plainly". 
Now define "conventional wisdom" ... 

The Cult of the Equity

As we saw in the discussion of psychological investing trends across history that is The Zeitgeist Investor, the historical consensus was that bonds were safe for retirement and equities weren't, because of the relative risks of individual stocks and bonds. It took George Ross-Goobey to change all of that, as he recognized that, in the long-run, portfolios of stocks could offer better and safer returns than government bonds:
"Studies going back 80 years and including several depressions show that Common Stocks have increased in value at a rate which offsets the long-term rate of inflation and on top of this have shown a real yield in terms of purchasing power of about 4% or 5%".
That's from the UK in 1956, just as the so-called Cult of the Equity was beginning to swing into action. And just as negative real interest rates were beginning to cut into real bond returns - as we saw in How Sneaky Governments Steal Your Money.

In fact, in his landmark paper Bengen looks at various other historical scenarios including what an investor should have done following the Wall Street Crash if they'd gone into it with a 50:50 bond/equity portfolio. Someone retiring in 1929 with a portfolio of $500,000 and withdrawing at 4% would have been down to less than $200,000 by the end of 1932. If they'd run for the safety of a bond portfolio at this point they have run out of money in 1947.  On the other hand ...
"But what if our client had the audacity to demand, on December 31, 1932, that we increase the stock allocation to 100 percent, and hold that allocation for the remainder of his life? ... by 1992, if he were still alive, he would have amassed $42 million in his retirement fund!"
Mind you, they'd have probably been past caring as well, if they'd retired at the expected age of 60. Although, as we saw in Dying to Invest, that's a dangerous assumption to make, as the unfortunate Andre-Francoise Raffray discovered.

Revisionism

Of course, this is all historical revisionism, being run against the only history we happen to have.  If we were to rerun the tape we'd get a different result: whatever happens in the 21st century it won't be the same as what happened in the 20th (see: Investing in the Rear View Mirror). History is told from the viewpoint of the victors - remember US stockmarket returns aren't generally applicable across the world - an investor in German markets back in the 1920's would have been wiped out along the way by hyperinflation and the Second World War (see Triumph of the Pessimists or Stuck in a Weimar World).

In fact, some recent analysis by Wade Pfau on international diversification makes exactly this point - US safe withdrawal rates don't necessarily apply to the rest of the world:
"While global diversification did improve outcomes, there is still a 22.7% failure rate for the 4% rule with global portfolio returns measured in terms of the local currency. Clients can expect better outcomes with international diversification, but even with this greater diversification, there is still a chance that 4% will not work and adjustments to spending patterns or asset allocations will be needed in retirement."
Sustainable?

Which is quite grim, really: a 22.7% failure rate on a 4% starting withdrawal rate isn't exactly comforting. But, once again, the target portfolio is 50:50 bonds to equities. When Philip Cooley, Card Hubbard and Daniel Walz looked at the historical success of a 100% stock portfolio in Retirement Savings: Choosing a Withdrawal Rate That Is Sustainable, they found:
"A 100% stock portfolio supported 100% of all 15-year periods in which annual withdrawals were made based on an initial withdrawal of 3% of portfolio value. The portfolio success rate drops to 98% for a 5% initial withdrawal rate, reflecting the failure of the all-stock portfolio during one of 56 15-year periods (1929 to 1943). Not surprisingly, as the withdrawal rate rises, the portfolio success rate declines."
So if you can avoid the one period encompassing the Wall Street Crash and the start of the Second World War you can invest in 100% equities and safely withdraw at 5% ... or maybe not. The point is that the 4% rule is a mental short-cut with a dubious provenance and it's now ricocheting about between advisers, investors, bloggers and sundry other ancillary experts as though it's a magic bullet. It's not..

No Magic Bullets

As we've seen before the sheer power of memes can override any attempt at rational analysis because people just love simple rules which they can apply to complex subjects to avoid thinking about them. In an area as complex as investment, which is populated by lots of behaviorally challenged investors who are convinced they know what they're doing and are heavily resistant to being told that they don't, this is dangerous stuff.

There is no such thing as a Safe Withdrawal Rate and believing otherwise is dangerous. What there is are investors who know what they're doing and those who believe in mythical rules. On balance I'd recommend being one of the former, but there's no accounting for taste.

   

11 comments:

  1. Do you have evidence for the claim that "an investor in German markets back in the 1920's would have been wiped out along the way by hyperinflation and the Second World War"?

    It was obviously a bad time to be a fixed income investor, but shares in companies are not as such exposed to inflation, and quite a few companies have survived WW2 -- some are still in the DAX.

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  2. Hi cig

    Fair point ... Russia might have been a better exemplar of the point I was trying to make.

    But, to answer the question at hand, over the 20th century the German stockmarket returned about 1.9% per year, largely as a result of the 72% drop during the break over World War 2. That's compared to 4.3% for US investors (unsurprisingly the best result globally). So not wiped out, but not great either.

    In terms of hyperinflation your instinct is correct - being invested in stocks wasn't a bad place to be, as long as you could afford to ride out the storm - although valuations were very volatile and investors needed to avoid financial stocks (no change there, then). And, yes, fixed income investors were wiped out along the way.

    Tim

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  3. A good article, but perhaps it might be fairer to call 4% as the 'Safer Withdrawal Rate', and not the 'Safe Withdrawal Rate'.

    The way that I use the example of the 4% withdrawal rate is to encourage my clients to cap the level of money they access from their investments on an annual basis. Without some form of a marker (call it 4% or 5% or whatever) people tend to have little idea of how much money they can reliably live of. 4% is just a handy tool, a line in the sand. Below it and you should be ok (not will be, but should be); go over it and you must be comfortable with potentially running out of money some day. Yes from a rational economics perspective 4% is just a nice little heuristic, but most folk don't live in a rational economic world.

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  4. I don't generally reply to anonymous comments, but I think it's worth noting that there are lots of investors out there without advisers who are using this heuristic without understanding it. 4% isn't safe or even safer unless the limitations behind it are understood by someone involved: misunderstand and you may save too much or too little, work too long or retire too early. A simple number can have major and very real personal consequences.

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  5. Sorry, about the anonymous comment, was in a bit of a rush and it was the quickest approach.

    I should have added that my approach to the 4% (or 5% or whatever) is more based on the income earned from the investments. We try to construct investment portfolios for our clients with a reasonably reliable income stream which matches or exceeds the 4% withdrawal rate. If you're only living off the income generated by your investments, changes in the capital value (both up and down) become moot. Granted 5% or even 4% income return can be a challenge in the current environment but it depends where you are based and where you invest. The level of income earned is far less volatile than the capital value.

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  6. Hi Justin, that's fair enough under current conditions but it's not always achievable. Taking a worst case of 1974 (from memory) you'd have had a blended bond/equity income of 6%, inflation running at over 12% and a 20%+ decline in your portfolio value. In the third year, under the SWR, your income would have cost you nearly 8% of the reduced portfolio value. On the other hand, if you withdrew only income you wouldn't go bust, but your standard of living would have declined quite rapidly.

    Of course no one can foresee those conditions returning ... but no one foresaw today's conditions back then, either, and that's why the SWR is what is, and doesn't reduce to just taking the portfolio income.

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  7. Out here in the real world (people who don't read "the psy-fi blog") typical withdrawal rates are on the lines of 10% or higher. Whether 4% is fully safe or not, it is definitely a lot safer than 10%, and so I think the people mindlessly repeating that 4% SWR meme are doing God's work.

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  8. Cig said: Do you have evidence for the claim that "an investor in German markets back in the 1920's would have been wiped out along the way by hyperinflation and the Second World War"?

    Dimson and Marsh cover this in "Triumph of the Optimists" on page 254. "German bond returns . . . which essentially lost all value during the 1922-1923 hyperinflation."

    Interestingly, Dimson and Marsh acknowledge this fact, then purposely chose to ignore it when they compile their data. They state both stock and bond returns from 1900 on as if hyperinflation did NOT have any effect.

    So you start with a 50/50 allocation and annually rebalance. As bonds are literally headed to zero, you are selling stocks to buy more bonds every year. Even if some stocks survived the hyperinflation, you would be so diluted as to be "wiped out."

    I would not suggest assuming broad stock indeces will have positive real returns through a hyperinflationairy period.

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  9. Hi Greg

    Coincidentally I was researching the impact of rebalancing the other day, and your point is quite correct. It's also unclear how indices would have done, although many German industrial stocks were pretty much inflation-proof although financial stocks were hammered.

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  10. I'm not sure why a comment from someone labelled Anonymous is any more or less worth replying to than a comment from someone labelled, eg Greg.

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  11. Or one called Unsay Moon, I suppose ... but that'll teach me not to get on my high horse ... :)

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