The Price is Right?

by John Q on August 2, 2009

In my discussion of the efficient markets hypothesis, I’ve asserted at various times that if (strong or semi-strong) EMH holds, then the market price of an asset “the best possible estimate of the value of the asset” or, more simply, the “right” price. Quite a few commenters asked me to spell out what this means, and there was some useful discussion. This really is the central issue in evaluating the EMH, so I want both to get it right and to express myself as clearly as possible for non-specialist readers. There’s a draft over the fold. I await your brickbats and (hopefully) bouquets.

The EMH implies that the prices generated by stockmarkets and other asset markets are the best possible estimate of the ‘right’ price for the assets concerned. But what does it mean to say ‘The Price is Right’?

From the point of view of an investor, the value of an asset is determined by the flow of income it generates over the period for which it is held and the disposal value (if any) at the end of the period. This stream of payments can be converted into a current value by a discounting procedure (the opposite of working out a future value using compound interest): the problem is to choose the ‘right’ risk adjusted discount rate.

Given efficient markets, economic analysis suggests that the discount rate should be determined by the socially efficient allocation of the aggregate risk for the economy as a whole among individual consumers. This gives rise to a model of the determination of the prices of capital assets called (perhaps unsurprisingly) the Capital Asset Pricing Model, or CAPM. Economists who want to stress the point that the asset prices are ultimately determined by the preferences of consumers sometimes make this explicit and refer to CCAPM, the Consumption-based Capital Asset Pricing Model. The difficulties of CCAPM will be discussed in Chapter …, but for the moment it is sufficient to note that the model depends critically on the efficient markets hypothesis.

If a stock price is indeed the best possible estimate of the risk-adjusted value of future dividends and resale values, then individual investors (at least those without inside information according to the semi-strong EMH) can do no better than to buy a portfolio of stocks and other asset prices that matches their risk preferences, without worrying about attempting to make their own estimates of the value of individual assets. In this sense, the price is right for them.

But there is a stronger, and more important sense in which the EMH implies that market asset prices are the right prices. Given any possible set of investments, market participants can estimate the value of those investments by considering the likely immediate impact on the stock prices of the companies concerned, or the likely return in an Initial Public Offering (IPO). Capital markets will fund the subset of investments with the highest market value. If there are no relevant market failures outside capital markets, the EMH says that these will also be the most socially valuable investments.

The qualification about market failures requires some clarification. Suppose a company is considering an investment that will be highly profitable but environmentally damaging. Then stock markets will value the company on the basis of the profits, and will fund the investment, even though it may be less socially valuable than an alternative, more environmentally friendly choice. In this case, the financial market price is not the ‘right’ price.

But, an EMH advocate will say, the answer is not to try and change financial markets, for example by promoting socially responsible investments. Rather the correct response is to address the market failure directly by imposing tighter environmental regulations. In fact, a sufficiently strong EMH advocate will argue, even the prospect of such regulations will depress the value of the company, and this will lead markets to kill socially damaging projects even before governments have got around to responding to them. Given the EMH, all is for the best in the best of all possible worlds (provided “possible” is defined carefully enough).

{ 18 comments }

1

Billikin 08.02.09 at 4:20 am

Suppose that we have an auction for a single item among N bidders, each of whom have sufficient money not to have to take into account the question of affordability. What is the value of the item? One idea is that, relative to the population of bidders, to take its value as the median of the values for each bidder. However, in a rational auction, we expect that the price will lie between the maximum value and the next highest value. The price will be higher than the median value. If we take the price as “the” value, it will bear little relation to the value for any particular bidder.

Of course, real markets are more complicated. But consider the housing bubble. If A buys a house as a home for a certain amount of money, but a while later house prices have risen in real terms, has the value of A’s house increased for A? Since house prices in general have risen, it is not like A can sell the house and move into a better house. The possibility of borrowing against the increase is worth something, but will not equal the value of the increase, on average. Does it make sense, then, to take the current bubble prices and apply them to all houses, whether they are on the market or not? What should we make of claims that American homeowners lost several trillion dollars in housing value when the bubble burst? Should we not take that with a sea of salt?

2

Tim Worstall 08.02.09 at 7:48 am

“Rather the correct response is to address the market failure directly by imposing tighter environmental regulations.”

That is one way, certainly. But isn’t the real aim to internalize those costs which are currently external the market price mechanism? And regulation isn’t the only way to do that, tax also works (Pigou etc). Of course we could say that tax is a regulation, but for clarity shouldn’t the aim of what we’re trying to do be emphasised (internalising the externality) rather than one possible method by which we do so (regulation)?

From an entirely lay point of view “the best possible estimate of the value of the asset” opens to the retort “well, what other methods are there?” “Best possible ” is very different from “right”. A valuation can be not very good and still the best possible just as, say, a medical treatment can be not very good and still the best possible at our current state of knowledge.

Perhaps this is still me not getting it but if I were coming entirely anew to the subject, with JQ’s explanation as the only one I had (which I believe is the point of the book, the intended readership, no?) that is the point I would want answered. OK, so the EMH isn’t correct: but what is better than it? Even if it is not correct, is it still the “best possible”?

3

John Quiggin 08.02.09 at 7:57 am

Billikin, the EMH assumes lots of buyers and lots of objects, which gets around most of these problems. And (if applied to houses) it does imply that the current price is the best estimate of the value of the entire housing stock, not just the bit that is changing hands.

Tim, on your first para, a mental typo on my part. Of course, I meant to put price measures as the first option for an EMH supporter, with regulation as second best.

The remaining point is what I plan to deal with in the last part of the chapter.

4

Kevin Donoghue 08.02.09 at 8:35 am

Given any possible set of investments, market participants can estimate the value of those investments by considering the likely immediate impact on the stock prices of the companies concerned, or the likely return in an Initial Public Offering (IPO).

I’ve read this several times and I’m still struggling. The impact of what on the companies concerned? The possible new investments? I’m guessing that you have in mind something like a rights issue, which is intended to fund some new venture which is in the set of possible investments. So we’re talking about investment in the economist’s sense: building an oil-rig or something like that. Then you seem to be saying that the marginal cost of equity capital to the firm, which can be derived from the impact of the rights issue on the share price, is in some sense a measure of the marginal return from the new project. But I’m reading between the lines and drawing on hazy memories of Copeland and Weston’s textbook, which I haven’t read lately. I think that sentence and the paragraph it comes from could do with a re-write. Endless confusion is caused by the fact that economists understand investment to mean additions to the stock of (usually physical but sometimes human) capital whereas to most people it just means buying securities. You might try making the point by telling a story or citing an actual example, if you can find a suitable one, of a company announcement and its effect on the share price.

Otherwise, a good post which goes some way towards meeting the concerns raised in earlier threads.

5

Cosma Shalizi 08.02.09 at 2:25 pm

Dow and Gorton have a 1997 paper (in JSTOR) where they show that the EMH holding is not necessary for efficient capital allocation (not surprising), but also not sufficient, which surprised me indeed. I’d be interested to learn John’s thoughts.

6

SusanC 08.02.09 at 2:48 pm

I’m puzzled by your discussion of the discount rate.

If different investors have different preferences for money now vs. money later, doesn’t this mean that there is no single “right” price, even if everyone agrees on the statistical distribution of the future income stream?

I can see how this could work if all investors were trying to maximize the amount of money they will have at some point in the distant future – then, the discount rate is observer-independent and determined by the best available investment strategy. But if some investors want or need to spend some of their gains in the near future, what then?

7

Billikin 08.02.09 at 3:11 pm

John Quiggin: “the EMH assumes lots of buyers and lots of objects, which gets around most of these problems. And (if applied to houses) it does imply that the current price is the best estimate of the value of the entire housing stock, not just the bit that is changing hands.”

Well, let’s take the auction of a single good with a constant number of bidders. If the supply is large enough, the price should be below the least value among the bidders. If we hold the supply constant and increase the number of bidders (also holding the median and dispersal of bidder’s values steady), the price will rise. No surprise here. However, there is nothing like the law of large numbers to relate the price to the median value among the bidders, or to any value at all.

Now, if something produces a reliable return on investment, then it is possible to come up with a public value for it that is independent of price. IIUC, the EMH says that the price should approximate that value, or even that it should be that value. But for most things there is a range of values among the population, and I think that all that the EMH can say is that the price should not exceed the maximum value in the range. Is there any stronger result?

8

P O'Neill 08.02.09 at 4:51 pm

It might be worth giving “Tobin’s Q” a mention. Investment (i.e. new purchases of equipment etc) depends on Q. Q = Market value of Capital over Replacement Cost. When Q exceeds 1, market is implying that some new investment is worthwhile. Eventually the new investment drives Q back to 1. It’s a simple and old idea but it resurfaces in much more complicated contexts. Needless to say, EMH is critical in Q giving the right signal to real investment decisions.

9

leederick 08.02.09 at 5:14 pm

John – I’ve been follow these posts with interest and been waiting for this one, but I’m still not much wiser. You say EMH means the price is the “the best possible estimate of the value of the asset”, there’s two halves to this, but you only explain the second half. The value is the risk-adjusted flow of future dividends and resale values, but I still don’t know what you mean by the best possible estimate.

10

Neel Krishnaswami 08.02.09 at 5:38 pm

John: can you direct me to any work on how general equilibrium/incomplete markets fit into this picture?

Concretely, suppose we have an economy with two sectors, one of which has very low transaction costs (call it the financial market) and one of which has very high transaction costs (call it the real estate market). Historically, it seems that real estate bubbles can trigger stock market bubbles (that’s certainly the conventional wisdom wrt Japan in the 1980s, say). But on the other hand, it seems like if you’ve got enough ability to hedge in the financial sector, you can ameliorate real estate bubbles. But I don’t see immediately how to figure out which effect wins, and when.

11

bunbury 08.02.09 at 5:49 pm

Are aggregation issues really trivial with respect to the EMH or is it just a battle not worth fighting here?

12

K. Williams 08.03.09 at 3:08 am

John, I don’t know what you mean by “non-specialist readers,” or exactly who your target audience for this book is, but these sentences:

“Given efficient markets, economic analysis suggests that the discount rate should be determined by the socially efficient allocation of the aggregate risk for the economy as a whole among individual consumers. This gives rise to a model of the determination of the prices of capital assets called (perhaps unsurprisingly) the Capital Asset Pricing Model, or CAPM. Economists who want to stress the point that the asset prices are ultimately determined by the preferences of consumers sometimes make this explicit and refer to CCAPM, the Consumption-based Capital Asset Pricing Model. ”

are going to be absolutely incomprehensible to 99% of non-finance people. Even for people with a background in economics, this paragraph doesn’t follow obviously from the previous graf, or from a conventional understanding of what fundamental investors — the ones who are presumably trying to get a stock’s price right — are thinking when they value a stock. I’d really revise this substantially before putting it in the book.

13

Katherine 08.03.09 at 9:25 am

Could do with a slightly more extended explanation of the discounting procedure, beyond just “the opposite of working out a future value using compound interest”: another sentence or two (or an over-simplified-for-the-purposes-of-clarification example) couldn’t hurt and would help out the less economically/mathematically educated/gifted.

14

Bruce Wilder 08.03.09 at 6:07 pm

I’ve been thinking about this post, since it went up, partly because it coincided with a couple of comments I wrote at Economist’s View and elsewhere, trying to clarify a bit the EMH and its shortcomings. The attempt helped me appreciate how difficult is the task you’ve set for yourself.

I’m reminded a bit of Archimedes, thrilling to his own insight into the power of the lever, proclaiming, “Give me a place to stand, and I will move the world.” It’s hard to tell if you have a good grip on your lever, and even harder to tell if you’ve found a place to stand.

Finding a consistent point-of-view, in which your reader can feel secure enough to join you and rely on you as a trustworty narrator would seem to be critical to the success of your venture. Unless you intend to discard the whole of economic thought, modes of reason, and accumulated evidence, you have to have some method for drawing a bright line between sound and proven economics, on the one hand, and clever, possibly promising hypotheses and distillations gone awry, on the other. The reader needs explanations that start with solid foundations, on dry land, and that clearly indicate when and where the intellectual journey crosses into water and slippery sand, where an unexpected tide might carry one out to sea to drown.

Since The Definitive Truth has not yet been discovered, you are denied the easy convenience of a god’s-eye view of these disputations, where you know all the correct answers. If you were to take up, say, the gold standard, you might claim something akin to the historian’s conceit in knowing the end of the story, and be entirely correct in adopting contempt for a radical fringe of latter-day goldbugs. But, these issues remain somewhat unsettled, even if we all hope that some learning from error is taking place (and your own work may aid in fully realizing that); key questions remain unanswered, even if some answers can be safely rejected.

I’d suggest that the tried-and-true Hegelian narrative of thesis, antithesis, (failed?) synthesis might help to establish a progression of ideas and explanations: in the beginning, there was Graham-Dodd fundamental analysis. That gives you the opportunity to briefly explain the concept of present value. Then, financial economics established several important null results, that called the value to the investor of fundamental research into question, and suggested that risk was the key factor to be managed. Again, this narrative course would give you an opportunity to review the fundamental problem, while indicating clearly where the solid intellectual firmament had been surveyed.

It is still a difficult problem, both to indicate how things went wrong as ideas derived from EMH were translated into market investor practice and into ideology and public policy. But, at least the reader would have a sense of when economists waded off into the deep water with a defective life preserver. And, a reader without an MBA would have at least a few pages with explanations of sound and proven reasoning, without resort to poetic use of inexplicable jargon, before having to deal with the intellectually daunting task of appreciating how a simple, seminal idea was squeezed until it yielded poison.

15

Bruce Wilder 08.03.09 at 7:02 pm

Like leederick, I find I stumbled over “the best possible estimate”.

There’s a sense in which we’d like the financial sector to fund real investments, based on an appreciation of each investment’s expected value. Stated another way, we’d like society’s decision-making agents to be risk-neutral and to act “as if” the expected value of an investment was certain. The functions of the financial sector include intermediation and liquidity to remove budget contraints on investors, and insurance through diversification and similar means, to minimize risk, so that investors are not under-investing due to risk aversion.

There’s some correspondence between “best possible estimate” of an investment’s return and expected value. But, do you intend that meaning?

Your focus on “the” market price as “a best possible estimate” also confused me in another way, because, at least in this part you are not discussing the interpretation of price variation or volatility.

Observed market price volatility, and its interpretation, as an indicator of uncertainty, is a critically important puzzle in financial economics, figures importantly in how EMH has been interpreted and distilled into investor practice, as well as ideology and public policy.

Putting too much emphasis on ephemeral market price as a “best possible estimate” without squarely addressing the issues surrounding interpreting price volatility, and the implications of interpreting observed variation as a “random walk” risks misleading readers, and caricaturing the errors of financial economics as involving excess faith in point estimates.

16

matthew kuzma 08.03.09 at 7:19 pm

I’m in agreement with KD at #4. That whole paragraph is completely devoid of meaning to me. More broadly I think this is a fine draft, but the language could be simplified and cleared up a tiny bit.

Isn’t there some value when discussing the EMH in talking about the expected value gained by a purchase or a sale? Isn’t the “right” price the one at which the value gained or lost in a transaction is as close as possible to zero? Or is this wrong, or simply confusing the issue?

Linguistic Nit-Picks:

“But, an EMH advocate will say, the answer is not to try and change financial markets, for example by promoting socially responsible investments.”

This is a silly pet-peeve, but one tries to change things, one does not try and change things.

Finally, I’m sure you meant to say “stocks and other assets” rather than “stocks and other asset prices “.

17

John Quiggin 08.04.09 at 2:07 am

@Bruce#14, I offered the “tried and true” Hegelian narrative in the draft intro and it turned out that
(a) Hegel never used these terms
(b) Everyone thought I would scare the readers
But I may still go with it.

Thanks to everyone. I’ll try to fix the errant para and typos, and I’m very encouraged that so many people found this mostly comprehensible.

18

Tim Wilkinson 08.04.09 at 4:27 pm

As this thread is kind of closed, I feel I can be excused for posting what’s become a rather long coda.

Re: regulation/tax as ways to deal with externalities – surely neither of these are market solutions since, for one thing, they both require centralised decisions and estimates. The market way would presumably be via alienable rights not to be subjected to pollution – at which point of course you get into transaction costs and issues relating to non-rivalness and non-excludability.

Agree that all mentions of EMH need to specify the version (on a Goldilocks model, I’d call them the too-weak-, too-strong- and just-right- EMHs. As this suggests, the JR-EMH is the main concern.)

I’d also suggest being more explicit in distingishing:
1. The JR-EMH itself, taken as going some way beyond the bare unpredictability thesis, and including important presuppositions and assumptions (What exactly does it say? Is it consistent, contentful, true, non-vacuous, based on evidence?)

2. Theoretical consequences of the JR-EMH (are various economists right about them given (a) a correct, and (b) their own, interpretation of 1?)

3. Practical/policy/strategic implications of the JR-EMH and its theoretical conseuqences (are various polemicists right about these, for similar (a) and (b)?)

Some observations on ‘Price as best guide to value’. Not a deductive argument, and (at the risk of deterring the reader on grounds of quality as well as quantity) a bit grope-y:

A. The JR-EMH supposedly entails that price is the best possible guide to value. (And interpreted so that it didn’t have that entailment, what use would it be?)

B. This tends, rightly or wrongly, to be taken to imply that price is at least a very close approximation to value.

C. That presupposes that there is a quantity called value, independent of the price actually paid in any transaction. And if not, then this supposed consequence of the JR-EMH would tend to become trivial: at the extreme, ‘x approximates y (and, btw, x is y)’.

D. I suppose that such economic value is to be assessed ultimately by reference to human benefit (preference, whatever). In valuing firms one would I suppose take some set of facts about the firm’s actual operations and calculate its net impact on humanity. (The free-market approach defaults to the belief that profit/loss accurately gauges that impact, though explanations are kept available in the bottom drawer for why, in any paricular case you care to challenge, that simplistic idealisation doesn’t actually apply – obviously!)

E. Let’s suppose we could get a comprehensive set of the ‘fundamentals’ so conceived (perhaps things useful for producing [things useful for producing…] things of human benefit) and hold preferences constant or otherwise account for them. We have some kind of measure of value.

F. It is implausible that past values in this sense should generally fail to be a reasonable guide to future ones. It is much less plausible that all relevant information about the past (and the predictions derived from that information, e.g. about mergers, likely success of new products, whatever) should fail to be a very accurate guide to future values.

G. So why are prices a random walk? The speculative (future-price-regarding) element in price determination is my bold conjecture. This obviously ties in with the JR-EMH setup (when inside info a la the TS-EMH is not at issue): First, it’s assumed that future prices are worth trying to predict – i.e. the aim is buy low sell high. Second, traders compete to get ahead and don’t act identically, but all of them are identically rational, and in the same informational position (EXCEPT they are ignorant of each other’s plans, beliefs, intentions, assessments etc. If they weren’t, there wouldn’t be any sense to competing at all. That’s a rough approximation but I’ll leave it there.) And BTW, the ‘random walk’ entails that all (non-insider) speculation is in fact gambling.

H. If the JR-EMH and its ancillary presuppositions are correct, then each trader has the information needed to determine the right price – no-one is privileged – and indeed all traders do converge on that price. But they cannot determine the future prices. The JR-EMH supposes that the same is basically true of value.

I. But (F) why woud you be able to predict current value so much better than future value? I would suggest the reason that this seems to be the case is again speculation. The thesis that price closely tracks value, combined with the fact that there is a speculative element to price decisions, basically forces the implicit thesis that there is a speculative element to value, too.

J There is a possible problem there because speculation is specifically about in including prices as determinants of value, when value is being used as a measure of ‘right price’. It’s not a common or garden circularity issue, because the prices are future prices rather than the current one. Also, they are mediated by expectations – it is the expectation of those prices that act to determine current prices. There are complications there, but still – if price tracks value, then it seems pretty odd that value should be determined with reference to future price.

K. The method of valuation suggested (on behalf of the JR-EMHer) in the OP seems to do this, because ‘resale value’ is actually in effect resale price. This could be eliminated by taking the risk- (and time preference-?) adjusted income stream from the stock into perpetuity (regardless of the ‘perpetuity’ issue, I don’t really understand what these adjustments would entail – but I don’t think I need to for these purposes.)

J. The method of making investment decisions seems to me to suffer from a similar but different problem: if price tracks value, why would one try to imagine the likely impact on price in order to decide the likely value? There is an air of bootstrapping here – I’m reminded of the advice ‘imagine a really clever person, and do whatever they would do’. If you are assessing the value, why do it via the price, which presumably based on the same considerations as would be involved in assessing value, but going on in other peoples’ heads?

Obviously, ‘IIUC’, ‘in my opinion’, ‘it seems to me’ and other humility-caveats should be inserted at all appropriate points.

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