Time for a little mental exercise: Benefits to market timing

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Time for a little mental exercise: Benefits to market timing

Postby Norbert Schlenker » 12 Feb 2008 21:11

Things have gotten altogether too stale. You can only talk so long about thrift and RRSPs and taxes and gold and diversification and the venality of politicians and whether blonde is he or she and ...

Bear with me as I set this up.

Back in 1996, Alan Greenspan coined the term "irrational exuberance" in a speech, after the market had been up double digits many years in a row. In 2000, Robert Shiller of Yale used the term as a title for a book, making an extended argument that the stock market bubble had to burst because it was, in historical terms and using a metric he devised, too expensive. Shiller had been making that argument and using that metric for almost five years previous in academic circles and the market appeared to prove him wrong. But Shiller's book timing was dead on. The book came out, the Nasdaq cracked, and then everything else cracked with it. Two years later, the Naz was down 80% and the S&P 500 about 50%.

Shiller's primary metric was PE10, which is market price divided by an average of the previous 10 years earnings. Investors commonly use a price earnings ratio to determine whether a stock is cheap or expensive, but that tends to be a pretty noisy time series. Shiller was looking economy-wide, so used the S&P 500 as a measure, and wanted a less noisy series, so used the 10 year average. (He never explained to anyone's satisfaction why earnings from 10 years ago, whether it be for an individual business or an economy spanning index, should be an important contributor to rational decision making about a correct level of stock prices. Nor did he explain why PE10 and not PE5 or PE8 or ...) Being a careful academic, Shiller was from the start careful to provide caveats and warnings about data mining. Until 2000, those caveats came in handy because the the market said his thesis was bunk. By 2000, PE10 was above 40, an unprecedented level. Two years later, Shiller looked a prescient genius.

However, if you look back over periods longer than a few years, it's not clear that Shiller's forecasting is worthwhile. Shiller looked very wrong for years before the market cracked, and the cumulative effect of being out of the market in the late 1990s would have put an investor so far behind that it's not clear that even the 2000-2002 bear market would have allowed catching up to a very stoic buy-and-hold investor.

In my professional life, I counsel buy-and-hold, albeit with a much greater variety of asset classes than Shiller used in his argument. I think and hope that diversification protects my clients. But there's never any reason to close your mind to the possibilities before you're dead, so let's explore a little. I'm not advocating market timing, nor bearishness because the market is still "expensive" today. I'm just exploring.

For a few years now on various US investing discussion forums, there's been a succession of registrations by an annoying internet troll going by the name of hocus. (In real life, he's a guy named Rob Bennett who lives in Purcellville, VA.) Hocus advocates market timing based on Shiller's PE10. It wouldn't be that annoying except that, once he starts, he won't stop talking about it, inserting his favourite topic into any thread that looks plausible. As a result, he's been banned from many forums, is arguably responsible for the collapse of a few forums where the moderators didn't stop the nonsense, and is now pretty much confined to one forum which has as its sole purpose lampooning him (google hocomania if you must know).

In any case, I went through some of hocus' market timing strategy (named Valuation Informed Indexing by him, VII from now on), most of which is built on Shiller's argument and all of which ignores Shiller's caveats and ran some backtests on US return data. I compared it to buy-and-hold (B&H).

The monthly return data I used is from Ken French's website, which goes back to 1926. French's data is not for the S&P 500 but for all US stocks because it was collected to measure the factors in the Fama-French 3 factor model. French also kindly provides the monthly return on T-bills as the risk-free asset. I amalgamated this return data with Shiller's monthly record of PE10 back to 1926 and ran the tests.

B&H was really simple: 60% in stocks, 40% in bills, rebalance if a category goes more than 5% away from the target.

VII was more complex. Hocus is a bit scattered, so it's hard to distill an algorithm from his verbiage. In the end, I settled for as good an approximation as I could manage for what he was suggesting. (He's revised the strategy many times, he contradicts himself over and over, it's very data mined, I take it all with a grain of salt.) VII goes pretty much like this.

1. A higher PE10 means less stocks, lower PE10 means more. Hocus provided a few anchors, so I ended up with a scale that is 100% stocks at PE10=5 and 0% stocks at PE10=35.
2. Small variations in PE10 are unimportant, so the stock allocation steps by 10% at intervals of 3 in PE10. For example, 60% stocks at PE10=17 is reduced to 50% at PE10=20, or increased to 70% at PE10=14.
3. Rebalance if you're more than 5% off the target, which may have changed because of a PE10 change.

Over the 80 years of data, B&H rebalances 58 times, VII 150 times. Years ago, it would have been hard to do this and keep transaction costs reasonable. Nowadays, it's dead cheap and easy to rebalance twice a year.

Jeez, that's a lotta foreplay. How about some meat, Norbert?

Here's a graph of 30 year annualized returns. B&H is black, VII is magenta.

Image
VII is pretty clearly superior everywhere, although there are a few occasions ending in the last half of the 90s, i.e. starting in the last half of the 60s, where B&H has a small advantage. Recent differences appear to be quite minor, although I would point out that an extra 1/2% a year over 30 years is not chicken feed.

Below 20 year annualized returns.

Image
Again VII looks better but the advantage has not been spectacular since at least the mid-70s (which means periods starting in the mid-50s).

Finally 10 year annualized returns.
Image
Now this is an interesting picture. If you ignore the right hand side and imagine you are in 1996, just as Shiller was when he began to think and argue and publish about this, the evidence is pretty incontrovertible. VII, i.e. market timing, is everywhere superior to B&H over ten year periods. An occasional time, sometimes for decades, B&H is close, but there are periods of serious underperformance relative to VII. In 1996, you could not make an argument that the historical data ever showed a period where B&H was better. Timing was sometimes no better but it was never worse.

But then the late 1990s happened and it all went to hell. B&H turned out to be a huge winner in the late 1990s. Tie it together with widespread acceptance of modern portfolio theory and efficient markets - and no looking too far back because really old history is probably less relevant - and B&H is obviously the way to go. The 2000-2002 bear market might make you question that, but maybe not.

We have a few more years under our belt now. Is Shiller a hero or a fool? Is buy-and-hold appropriate because the old days aren't coming back or are we fooling ourselves with recency bias?

3-2-1.

Go.
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Postby IdOp » 12 Feb 2008 22:41

Interesting study Norbert.

I think it would be important to try to understand the B+H outperformance on the right side of your last graph. Here is my speculation, which maybe you can confirm or deny, as you have a better feeling for what made the numbers. It seems it occurred during the tech bubble's upside. During this time, clearly it would have been better to hang in as long as things were going up. Would the B+H strategy have done less selling (to rebalance) than VII in this window? Seems plausible to me since at this time valuations were going through the roof so VII would say "sell" a lot. Which is the wrong thing to do as long as it's going up. Is that what's going on there?

If so, then the B+H outperformance seems to be an "anomaly" to the extent that a massive bubble is an anomaly in market behavior. (I.e., yes it's normal for markets to have bubbles, but the big ones are rare.)
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Postby treetops » 12 Feb 2008 23:08

"Is Shiller a hero or a fool? Is buy-and-hold appropriate because the old days aren't coming back or are we fooling ourselves with recency bias"

I'm risking a serious slap for triteness wading in on this one, Norbert, but I think it's not relevant to compare these two strategies to determine if Shiller is hero/fool or if this time is different. These approaches arise to serve two different sets of investor personalities.

The B+H style is suited for the investor who lacks the time, talent or interest to watch market movements or to do the work required for VII. It has validity based on history. It is meant to deliver a sleep factor of 8 to 9/10 for this type of investor.

VII is for the person who likes the work, can do the work, and takes the time for the work. NOT doing the work would be stressful. And that means this investor isn't suited to B+H. VII also has validity based on history. Hence for this investor, the sleep factor is also 8 to 9/10.

Shiller, Hocus or any advisor recommending B+H or VII would indeed be a fool for aligning the wrong investor with the wrong approach.

MVHO..2 cents...etc.

P
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Postby NormR » 13 Feb 2008 00:36

So how does your method do 'out of sample'. Say in other countries? :D
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Postby DenisD » 13 Feb 2008 01:10

Pretty wimpy example of market timing! Real market timers are either 100% long or 100% cash. Nothing in between. Or, even better, 100% long or 100% short! 8)
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Postby NormR » 13 Feb 2008 01:17

DenisD wrote:Pretty wimpy example of market timing! Real market timers are either 100% long or 100% cash. Nothing in between. Or, even better, 100% long or 100% short! 8)


Real market timers use options and other derivatives. :D
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Postby martingale » 13 Feb 2008 05:25

Just a note on transaction costs: You can't use current cheap transaction costs to evaluate historical performance. You have to use the transaction costs that would have been available at the time. An anomaly that persisted in the past only because of steep transaction costs would not be expected to continue in light of cheaper fees.

Second I would wonder whether this "PE10" rule is essentially a proxy for momentum investing / relative strength a'la Jegedeesh & Titman -- with the associated implication that the profits may disappear if you try and use real trades with real price impact rather than simulated one, as they seem to with classic momentum investing (with institutional trade volumes).

As I recall it only takes slightly over a 1% transaction cost (including price impact) to destroy the benefits of momentum investing, and that may be true here too.
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Postby BRIAN5000 » 13 Feb 2008 14:09

The last peak on your 30 year graph corresponded to a lossening of the monitary policy, do any of the other peaks ?
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Postby leonk » 13 Feb 2008 15:38

thanks, fascinating.
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Postby NormR » 13 Feb 2008 16:59

Hey, don't forget to use historical tax rates in your analysis. :D
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Postby Norbert Schlenker » 14 Feb 2008 13:01

IdOp wrote:It seems it occurred during the tech bubble's upside. During this time, clearly it would have been better to hang in as long as things were going up. Would the B+H strategy have done less selling (to rebalance) than VII in this window? Seems plausible to me since at this time valuations were going through the roof so VII would say "sell" a lot. Which is the wrong thing to do as long as it's going up. Is that what's going on there?

Absolutely. VII basically gets out of the market and it just keeps going up, which hugely benefits B&H.

If so, then the B+H outperformance seems to be an "anomaly" to the extent that a massive bubble is an anomaly in market behavior. (I.e., yes it's normal for markets to have bubbles, but the big ones are rare.)

And that should be of concern to investors, no? It seems to me that you have to choose among one of two paradigms:

1) Nothing has really changed, the late 90s were an anomaly that won't be repeated (at least not for a generation), and the existence of the late 90s B&H outperformance is a thin reed on which EMH aficionados can hang "It's different this time" while things revert true to type and they get their heads handed to them.

2) The comparatively ancient experience really isn't relevant, things really have changed, and it doesn't matter much whether you B&H or do some sort of timing based on valuation, as long as you don't care about short term tracking error.

treetops wrote:The B+H style is suited for the investor who lacks the time, talent or interest to watch market movements or to do the work required for VII. It has validity based on history. It is meant to deliver a sleep factor of 8 to 9/10 for this type of investor.

VII is for the person who likes the work, can do the work, and takes the time for the work. NOT doing the work would be stressful. And that means this investor isn't suited to B+H. VII also has validity based on history. Hence for this investor, the sleep factor is also 8 to 9/10.

Note the italicized sections. My question is, given that the time series is noisy, how sure can you or I or any investor be of the validity of either approach?

NormR wrote:So how does your method do 'out of sample'. Say in other countries?

Darling Norm, you're the academic. You collect the data, put it into a nicely accessible form like fellow academics Shiller and French, and I'll draw the pictures. ;)

DenisD wrote:Pretty wimpy example of market timing! Real market timers are either 100% long or 100% cash. Nothing in between. Or, even better, 100% long or 100% short!

I'm not sure that's an appropriate comparison. VII is built at least partly on some very old wisdom from Ben Graham, namely that it's unwise to go to extremes under any circumstances. IIRC Graham suggests varying equity allocations in the 25-75% range. This goes further but I expect that, if I rerun inside that smaller range, the results would be quite similar.

martingale wrote:You can't use current cheap transaction costs to evaluate historical performance. You have to use the transaction costs that would have been available at the time. An anomaly that persisted in the past only because of steep transaction costs would not be expected to continue in light of cheaper fees.

I'll think more about this. Obviously you're in the "It's different this time" camp.

BRIAN5000 wrote:The last peak on your 30 year graph corresponded to a lossening of the monitary policy, do any of the other peaks ?

I don't understand. I don't see any peak in that graph that matches a monetary policy sea change.

NormR wrote:Hey, don't forget to use historical tax rates in your analysis.

What is this? Am I a grad student dogs body?
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Postby BRIAN5000 » 14 Feb 2008 14:07

Norbert Schlenker wrote:
BRIAN5000 wrote:
The last peak on your 30 year graph corresponded to a lossening of the monitary policy, do any of the other peaks ?


I don't understand. I don't see any peak in that graph that matches a monetary policy sea change.


Cheap easy money

Looks like about 7 peaks hard to tell exacly what years, I will try to find a better chart.
59-61
66-68
70-72
75-80
82-83
85-01
02-05

Were these all years of lower interest rates, where the fed came in and lowered rates like they have just done.
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Postby martingale » 14 Feb 2008 14:48

Norbert Schlenker wrote:I'll think more about this. Obviously you're in the "It's different this time" camp.


Well, more like the "it's always the same" camp. You posted a graph showing that this VII strategy would slightly but consistently outperform the market (or more accurately a mixed market / t-bills strategy that includes potentially unnecessary rebalancing). I am suggesting that perhaps if you had to make actual trades at the true bid and ask available, paying realistic commissions on top of that, that the VII strategy might not be profitable in reality.

There is evidence that this is true of the 'momentum' strategy: It looks great until you actually try and do it and discover that you face higher than expected costs.
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Norbert's breakdown

Postby JohnMorgan » 14 Feb 2008 14:54

I'm surprised by the limited number and muted nature of responses to this posting.
Firstly, it appears stimulted by boredom: "Things have gotten altogether too stale. You can only talk so long about thrift and RRSPs and taxes and gold and diversification and the venality of politicians and whether blonde is he or she and ... "
Secondly, through the ultimate sin of retrospective data mining, Norbert is casting doubt and dismay amongst the faithful, at a (market) time when most are already sufficiently stressed to start making errors.
Those that know him should rush to his aid with GICs, sedatives and an exorcist to try to expunge these doubts.
On a more frivolous note:
I thought it was self-evident that there is skill in money management. (ie although possible, it is unlikely that Buffett is akin to the n th monkey on the typewriting producing Shakespeare's collected works by chance.) The simpler question, I thought, was just whether or not an unskilled person can select a Buffett (then trust and afford him) to manage one's money sufficiently far ahead to make one rich/comfortable/whatever.
Add to this the uncomfortable reality that the future is unpredictable (aka a complex adaptive field, seemingly chaotic but explainable post hoc), and one is left with a certain nihilism/minimalisim where paying large amounts to fund slippery suits and teak boardroom tables seems optimistic at best.
Unfortunately it does all seem to boil down to faith and hope.
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Re: Norbert's breakdown

Postby Norbert Schlenker » 14 Feb 2008 15:25

You try to have a little fun. First you get grief and then you get counselling. ;)

JohnMorgan wrote:Those that know him should rush to his aid with GICs, sedatives and an exorcist to try to expunge these doubts.

:rofl:

Unfortunately it does all seem to boil down to faith and hope.

Hope is not an investment strategy. ®
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Postby BRIAN5000 » 14 Feb 2008 15:48

Hope is not an investment strategy. ®


This is my main strategy,oh oh, I may be in trouble.

This looks impressive to me

Dynamic Portfolio Theory and Management: Using Active Asset Allocation to ... By Richard E. Oberuc

Is this what you were referencing.
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Postby soloman » 14 Feb 2008 15:56

My concern with B&H is that one's equities could be in a severe dip at the very moment when you need to cash some in to sustain a retirement lifestyle.

Has this situation been discussed previously ?
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Postby Shakespeare » 14 Feb 2008 16:03

My concern with B&H is that one's equities could be in a severe dip at the very moment when you need to cash some in to sustain a retirement lifestyle.

Has this situation been discussed previously ?
That's one of the reasons you have short-term bonds or a bond or GIC ladder.
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Postby soloman » 14 Feb 2008 16:16

Thanks Shakespeare, I already have those to a large percentage. What I'm talking about is the 10/20/30% one may have allocated to equities.

i.e. after one has exhausted all the FI funds over a number of years, the Bought & Held equities may still be in a dip ! Some say, B&H, others say, "sell on a 10% drop", others say "never buy equities" ! It's all a bit confusing !
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Postby martingale » 14 Feb 2008 16:23

If you have ANY investment in equities, following ANY strategy, you face the possibility that your equities could crash "at the very moment when you need to cash some in" (or at any other moment).

If you are not comfortable with the potential losses you would face if the market were to crash then you are over-invested in equities. There is a definate trade-off. Over the long run equities will provide you with greater income, but with no guarantee, and with substantial risk. You should never be taking that risk with money that you "need to cash in"in the near future to support yourself.

I have long advocated that you should ensure that your most basic minimum costs of living are met through non-equity investments (CPP/OAS, pensions, bonds, annuities, paid up home), and that equity investments should pay for all of the enjoyments in life. That way substantial losses on your equity position might cut into your disposable income but would not make your retirement economically unviable.
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Postby travesty » 14 Feb 2008 17:55

What was the average bond/equity split for VII? What was the volatility of each strategy?

Couldn't the outperformance be explained if the VII algorithm resulted in a larger equity allocation, on average, and thus was exposed to more of equity's greater return over each 30 year period?
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Postby Norbert Schlenker » 14 Feb 2008 18:12

A simple average of the VII equity allocations leads one to 64.7% equities. That produces this graph for 30 year returns, not remarkably different than in the original post.

Image
Standard deviation of monthly returns is hugely in favour of VII at 4.1% versus 5.8% for B&H, so it looks even better risk-adjusted than on a raw basis.
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Postby parvus » 14 Feb 2008 20:18

norbert wrote:1. A higher PE10 means less stocks, lower PE10 means more. Hocus provided a few anchors, so I ended up with a scale that is 100% stocks at PE10=5 and 0% stocks at PE10=35.
2. Small variations in PE10 are unimportant, so the stock allocation steps by 10% at intervals of 3 in PE10. For example, 60% stocks at PE10=17 is reduced to 50% at PE10=20, or increased to 70% at PE10=14.
3. Rebalance if you're more than 5% off the target, which may have changed because of a PE10 change.

Actually, the way you specifiy the model, it seems plausible. I'm presuming you're using indexes to achieve stock exposure. What happens if instead it's a stock basket (say 30 stocks)? The question is whether all stocks have to be within the P10 parameter.

Let me, for argument's sake, say you buy a stock at P10=10, and always sell at P10=20 within the overall P10 parameter. (Norm can pipe in here about ptolemaic epicycles. :wink: )

Are there trading costs, as Martin would be quick to point out? Yes; is the value effect robust enough to overcome those costs? I dunno.
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Postby DenisD » 14 Feb 2008 22:43

I suppose Value Averaging (VA), which I use, is somewhere between B+H and VII. VII varies between 100% cash and 0% cash. VA will never have 100% cash. But it could, perish the thought, have 0% cash.
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Postby hocus » 15 Feb 2008 15:24

VII is built at least partly on some very old wisdom from Ben Graham, namely that it's unwise to go to extremes under any circumstances.

This is Rob Bennett. I'm the guy who came up with the Valuation-Informed Indexing concept (with huge amounts of help from posters at the Retire Early Community boards and in particular from John Walter Russell, who did the statistical work that led to development of this approach).

The above statement is precisely correct. It gets to the essence of the strategy.

VII involves timing, but not short-term timing. I am in strong agreement with those who say that short-term timing is impossible. That's because in the short term prices are set by investor emotion, which is unpredictable. In contrast, long-term prices are determined by the economic realities, which are highly (but not precisely) predictable.

The idea with this strategy is not to make guesses as to tops and bottoms, as is done with short-term timing. The idea is to take into consideration the long-term value proposition of stocks, which varies greatly with swings in valuation. The long term value proposition is huge when the P/E10 value is below 12, very strong when it is below 19, and dubious at P/E10 values above that. VII investors shift their allocation (perhaps from 90 percent to 60 percent to 30 percent) pursuant to changes in valuations from low to medium to high.

The key to making this strategy work is patience. It can take up to 10 years, or in some cases even a bit longer, for the "bet" to pay off. Remember, short-term price changes are entirely unpredictable. This strategy will not work for those not willing to wait up to 10 years to see results.

That said, the long-term benefit is huge. I have a calculator at my site (The Investor's Scenario Surfer) in which users can test this strategy over a 30-year time-period. There are many cases in which it does not pay off until 10 years have passed. Once the investor goes ahead, however, the effect of compounding returns usually puts him far, far ahead at the end of 30 years. From small things, mama. big things one day come. VII beats rebalancing in 9 out of 10 tests with the calculator.

There are scores of articles and three calculators re this approach at my web site (PassionSaving.com). There are hundreds of research articles on it at John's site (Early-Retirement-Planning-Insights.com).

I'm happy to do my best to address any questions that any here have about it.

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