Slice and Dice vs. Total Stock Market
The Ultimate Debate

By IndexFunds.com Staff
August 10, 2000

Perhaps at the very heart of the schism that divides passive index investors is the slice and dice vs. total stock market debate. Namely, does it make more sense (cents?) to buy the entire market or to divide it into four sectors and buy equal amounts of each. This article is a chronicle of an IndexFunds.com discussion board debate that covers all the issues.

If you have difficulty understanding the thread of the discussion read a primer that was also posted to the discussion board for newcomers to the debate

Is Slice and Dice a Sector Bet?
Jim Wiandt

If that single line isn't enough to open up old Discussion Board wounds, I don't know what is. An index fund reader, Mark Murway, brought today's J. Clements article in the Wall Street Journal to my attention. Clements essentially says, in a very Boglesque manner, that anything that doesn't mirror the market is a sector bet.

He does this while recognizing the flip side of the debate and remarking on Fama/French (FF) and quoting William Bernstein as counterpoint.

It all brings us back around to the eternal question: is 4X25 Slice and Dice a "sector bet" or "diversification?" Leaving myself open to a ferocious rebuttal from the Dimensional Fund Advisors (DFA) advisors that frequent the boards here, I tend to support Clements and believe the former. For those of you new to this debate, please see Jeff Troutner's Slice and Dice and Total Stock Market (TSM) articles, for the Slice and Dice angle, or any Bogle book for Total Market.

Anything else does seem to fly in the face of Efficient Market Theory. This DOES NOT preclude you from avoiding stocks you believe have obscene evaluations...

I fully understand the flip side...that the Total Stock Market's large company quarter of the market is DFAs largest decile (or less). Slice and Dice puts more money on certain parts of the market than the market itself does.

Is Slice and Dice a Sector Bet?
Jim Wiandt continued
Larry Swedroe holds that at these valuations the risk premium on LG is just not sufficient to justify investment in large growth. While I am clearly inclined to agree, let's just admit to ourselves (per Nurse Ratchett on the Seminar Board) that this (avoiding LG or going 4X25 DFA style) is market timing or a sector bet.

Maybe I'll take on the Index Funds TSM opus myself at some point. I will not be posting my home address at the bottom of that article...

Re: Is Slice and Dice a Sector Bet?
Bill Bernstein
Ah, life's timeless mysteries. (An aside. Pilots have been arguing since the time of Orville and Wilbur about whether two engines are safer than one. That debate will never be resolved. Market versus slice-and-dice never will be either.)

First, an admission: Jonathan and John Bogle are historically correct. It is nearly impossible to come up with a more mean-variance efficient portfolio than the market, at least by size deciles, over the past 75 years. Another admission: for most of that period, they've been correct.

However, this time I think it's different. Just because you believe in the EMH doesn't relieve you of the responsibility of estimating future returns. If anybody in the audience believes that we're gonna see 8% real stock returns over the next few decades, then I'm looking out the window at a really neat bridge I can let you have cheap. To paraphrase Warren Buffett, if returns came from history books then the wealthiest folks would be librarians. When I look at large growth stocks I can't see much more than 2%-4% real long term returns going forward. (And I'm in passable company--Fama and French's latest working paper concludes that the Gordon Discounted Dividend Model is a more accurate predictor of stock returns than historical returns. And right now it says 3% real. FWIW, Buffett concurs.) While I don't avoid large growth, I simply cannot stomach their current cap weighting. Re: Is Slice and Dice a Sector Bet?
Bill Bernstein continued
"Efficient" is not the same as "rational." From time to time the markets go absolutely bonkers. Forget the 20s or the 60s. In the 1840s there was a railroad mania in England in which about 90% of market value consisted of one industry. It lasted for about 2 years. And at the time everyone knew it was a bubble--they just couldn't resist riding the momentum. Have things gotten this extreme currently? I think you can make a very good argument that they have.

Could I be wrong? You bet. As Jonathan implies, this kind of judgement call involves industrial grade hubris. But cap weighting is an active choice. And right now it does not make a lot of sense, to me at least.

BTW, one small quibble with Jonathan. He's arbitrary about US-Foreign allocation, but is quite strict with his US cap weighting. And yet there's a lot more daylight between 20% and 40% foreign than there is between "the market" and slice-and-dice.

Re: Bernstein Post
Bernie B.
OK, OK, let's say we(& even FF) are all really too dumb to predict which stocks or classes thereof will outperform as Jonaththan implies. In that case we simply wouldn't want to make deliberate choices about how to tilt, nor would we want the market itself or any other force to do it for us. Like the baboon (who incidentally beat the pants off the active picker) we want to make the most neutral & agnostic choices conceivable across stock styles, sizes, country of origin, industry sectors and any other factor in which weak correlations appear to exist. Now you can do this the hard way (eg, Monte Carlo -- repeated random number generation) or more simply for the lazies by selecting equal weightings for every factor you choose to retain. Slice & dice executed this way is quite neutral & passive, and makes no judgements about valuations, economics, which stocks or sectors are best, or any other subjective criteria. So slice & dice need not mean whittling some weird patchwork of stocks out of the raw ingredients. Not at all.

Re: Bernie B. Post
Bill Bernstein
I wouldn't disagree at all with that. After all the Value Line Index is equally weighted (or was for a long time) and the Dow is weighted by, of all things, share price.

But the preference for the market is that in theory, and over long enough periods, in practice, it turns out to be the most mean-variance efficient portfolio.

Re: Is Slice and Dice a Sector Bet?
Jonathan Clements
In all this, four points are worth making:

1) detractors say TSM is a large growth index. but what's growth? what's large? adopt a different definition, and you could decide TSM is really a small, value index.

2) fama-french are arguing that small and value outperform because they are more risky. (of course, this is the tautology of efficient markets theory in action: if it's associated with return, it's got to be a risk factor.) nonetheless, if advisers are going to draw intellectual strength from the fama-french research, they should be intellectually consistent i.e. they should state that overweighting small and value is riskier. but i don't see many folks doing this. instead, they're saying TSM is riskier.

3) a TSM fund will be far more tax-efficient than slicing and dicing the market with sector index funds, because you won't pay taxes as stocks graduate from one index to another.

4) you can carp all day about the market being overvalued or dominated by growth or too heavily tilted toward tech. but whatever it is, it is the sum total of investors' best judgments based on all currently available information. it takes a lot of hubris to decide that everybody else is wrong and that you are right. i'm not dumb enough to consider myself that smart.

Re: Clements Post
Larry Swedroe
Joanthan- let me offer different perspective on this issue on all four points

1) I think you would have hard time finding defintion of small value that would meet your criteria. The generally accepted definitions and quite logically so are the CRSP definitions, they are not arbitrary and used by most academics. Now if you don't like the top 3 deciles as value and bottom 3 as growth -split them in half and you get very similar results.splitting large and small into halfs is also logical.While you may debate the Ff risk factors, it is very clear that their definitions of risk due great job of predicting returns-therefore, it is logical to use those defintions in deciding how to allocate assets.

2)IMO you are mixing two issues,most of us, including me state value is risk factor and is compensation for risk-and if you tilt to value then you accept that risk (basically credit and liquidity). Now -must also keep in mind Markowitz work showing that you can add risky asset classes with low correlation and reduce portfolio risk, then you also have the RTM and rebalancing benefit. So bottom line is some of the risk of value as stand alone asset class is offset by its low correlation to the growth component. You also avoid the all eggs in one basket issue and the long periods of underperformance that can occur liek 66-88 when lg underperformed one month cds. Everyone loves lg ex post t-wonder what they were saying in early to mid 80's?

3) This issue is correct on the surface-however -most investors can split their assets putting least tax efficient in tax deferred account and most tax efficient in taxable.Then you also have addition of TM funds (and in value classes to by DFA).this offsets much of the issue-and you can rebalance with new cash too.
4 x 25 also has advantage over TSM that no one talks about- if some asset class does poorly you can harvest the loss-can't do that if that asset class is part of TSM that overall is up.

4)Prices of all assets may be correct-and I fully agree that market is very humbling mechanism.But that does not matter here IMO-the issue is controlling risk and too much in one big LG basket unless compensated for by higher expected returns (which no one argues for) makes no sense to me at least. Foolish slavery to gods of market. In other words it is simply issue of diversification making sense.

Re: Is Slice and Dice a Sector Bet?
Keith Lommel
Putting your money in TSM ensures that your dollars will do just as well (or just as poorly) as the average dollar in the US market. Any other weighting is a BET that you can do better than the average dollar in the US market. I think this is what people mean when they say that slice and dice is a sector bet. Beating the average dollar is a zero sum game, so for every guy who actually does beat the average dollar, there will be a guy who doesn't.

At today's valuations, I must admit that overweighting SV is a very tempting bet to take. But then again, it sure seemed like a pretty tempting bet a few years ago too, and anybody who took it then isn't smiling today for it.

Re: Lommel post
Paul H.
"Putting your money in TSM ensures that your dollars will do just as well (or just as poorly) as the average dollar in the US market."

Actually, what you are doing is betting that the asset class that dominates the market at the time of purchase will provide better returns than the other available classes over the longterm. Of course, a bet is just a bet. You don't know in which order the asset classes will finish.

"Any other weighting is a BET that you can do better than the average dollar in the US market."

No, it is an honest and sincere attempt to keep the regret factor from driving you crazy. You may not have overweighted the asset class that eventually "won," but at least you didn't overweight the worst of the four.

"I think this is what people mean when they say that slice and dice is a sector bet. Beating the average dollar is a zero sum game, so for every guy who actually does beat the average dollar, there will be a guy who doesn't."

There is probably some truth to this, but actually you are winning with 25% of your portfolio, losing with 25%, and possibly matching the broad market with the remaining 50%. You may or may not end up with a result that matches TSM. I would think that, even if you come in with less, the margin would not be large. In any event, it wasn't winning or losing that motivated you, but knowing that the extremes of overperformance and underperformance were blunted.

Re: Lommel post
Larry Swedroe
Let me offer different perspective- the game is not to beat or match the market per se-it is to manage risk- and matching the market should not be your objective IMO. Teh objective should be to get the greatest percentage of returns available from the asset classes you invest in. IF TSM is big bet on lg and you dont want that bet -who cares what market gets-it's irrelevant. You can still achieve market returns in the all asset clases by being pasive investor in manner of risk taking that makes sense to you. That should be the goal. If you think lg concentration is too risky and lg happens to outperform -did you lose the "bet"? Of course not.That would be like saying you bought life insurance and you lost because you didn't die. Diversification bought you insurance that lg would underperform and you were stuck loaded up with it. IT is matter of perspective and not confusing ex ante strategy with expost results.

Re: Swedroe post
Tom Adams
If by "risk" you mean sd, then one can increase risk with leverage or decrease risk by increasing one's allocation to money market funds. So you can own the TSM or any other set of low-fee mutual fund and set your risk anywhere. If by "risk" you mean that "There is publicly available convincing information that shows that shifting away from LG to SV provides a better expected return (normalized for sd) than any possible leveraged or partially allocated TSM porfolio." Then I have to ask what do you mean by "convincing information" since Mr. Market is obviously not convinced by this information.

Re: Adams post
Larry Swedroe
Risk is lots of things as I have tried to point out- it certainly is not ONLY sd. Most investors dont even know what sd is so how can they care about it? risk includes tracking error regret, long periods of underperformance for a particular asset class that causes investors to lose discipline (66-88 for lg) and also IMO size and value-personally I dont buy the leverage story as way to increase or decrease risk since it ignores the cost of leverage- it aint free- and margin calls mean you cant wait out the long term-so I dont buy it. Try looking at the leveraged index funds and see if they deliver the expected improved returns relative to the leverage-long leap from theory which implies costless stuff and reality I am afraid.

Re: Adams post
Larry Swedroe continued
As to risk premiums if 75 plus years of data in US and out of sample data in int'l markets and EM don't convince you about size and value risk premiums, along with the logic so be it-this isn't science and we have to choose our belief system based on best available info and common sense. Now you tell me with the btm of lg stocks now at half historical average and p/e more than double (and e/p ratios have been good predictor of future returns) what sense it makes to have almost all your eggs in a very highly, if not dangerously valued asset class with very low future expected returns by any logic I know of. Now I am not arguing that market is overvalued per se-just that the lg class reflects such high expectations (low risk) that it will in all likelihood deliver low future returns.

Re: Is Slice and Dice a Sector Bet?
Larry Swedroe
IMO - there is NOTHING inconsistent with EMT and 4 x 25.-an efficient market prices risk efficiently otherwisee you have free lunch- and if value and small have higher expected returns then it is because they are riskier. Simple. Now if I like the risk and reward I should own it in the appropriate proportion,, not in the market's which reflects the average investor-NOT ALL INVESTORS- the only reason to own the market is if you are somehow average.

Also TSM is the BET not 4 x 25 which is by DEFINTION style NEUTRAL making no bets- just looks different than the market -so you have tracking error-which should IMO be irrelevant- though it is a big psychologicval risk for most investors. I simply cannot understand how anyone can say that a style neutral portfolio is making a bet -but a portfolio that is only 6% small and 8% value is NOT . IMO simply illogical- MR. SPOCK I think would agree.

Re: Swedroe post
Jonathan Kandell
Larry says 25/4 is by definition "style neutral". But both sides really beg the question: If you define "neutral" as leaning toward a particular asset class (which are themselves only one way of carving the universe), then 25/4 is neutral. However if you define the results of the ebb-and-flow of market as one's vantage of neutral, then that becomes neutral. So really one needs to argue *for* a vantage, not just use the loaded phrase neutral.

Re: Kandell Post
Bernie B.
Aside from different risk premiums, valuations & all the behaviorial stuff, you also need to consider neutrality from the standpoint of diversification, which in turn depends on lack of (strong) correlation between asset classes. One can find low or reduced correlations within any number of types of classes, whether style, size, country or sector (ie, industry, I recently posted the correlation stats on this board). The lack of correlation allows you to exploit the higher returns among the population of assets while dampening fluctuation, as evidenced by portfolio comparisons in Larry's book (admittedly Larry's rationale for outperformance tends more toward the risk-reward-centric than mine).

Re: Kandell Post
Larry Swedroe
JK- I have to respectfully disagree-here is why-Pretty much everyone in academia agrees that it is the exposure to factors of size and value that determines virtually all of returns-therefore style neutral must be neutral to thsoe risk factors-anything else is betting on an asset class outperforming-NOW it is the MARKET that is making bet on LG-and it is ok to buy TSM if that is asset allocation you want-but you must admit you and the market are making huge bet on lg. there is no other way to look at it IMO.

Re: Swedroe post
J. Kandell
"I have to respectfully disagree-here is why-Pretty much everyone in academia agrees that it is the exposure to factors of size and value that determines virtually all of returns-therefore style neutral must be neutral to those risk factors"

Larry, notice we don't really disagree. My argument in previous post was that one can't just blurt "you're not neutral" as is done here in the tsm versus s-a-d debate. One has to instead argue *for* the "vantage" (for want of better word) that lies behind one's standard. In other words, one needs to argue why *asset class* should be one's neutral point, as opposed to *the market*. Notice, you've done just that: you've argued that asset class is a better measure of neutrality than the market because "exposure to factors of size and value...determines virtually all returns." The implication is that since we're interested in returns, and since size and value, for the most part, determine that, then those are what bias should be measured against. I'm not as confident that size and value are the primary constituents of returns in a fundamental way--but I accept your argument. At least its assumptions are all out on the table. We have a focus of argument, if you will. Those arguing for the market as one's standard I think have to show that it has some heavy reason behind it and/or that asset classes don't determine returns. One way to go with that--with which I'm sympathetic--is to argue for behavioural theories of price. I know there's lot of academic evidence for asset classes, but they have trouble explaining the last decade

Re: Kandell post
Larry Swedroe
jk- I dont have any problem with last decade-that is nature of risk- again I point out 23 year period when lg loses to one month cds-do you have problem explaining the equity risk premium at the end of that 23 year period (let alone one decade)?