The Total Stock Market Index

Assume, for the sake of this present discussion, that the term "stock market" means the "stocks in the US markets"; this will simplify matters. Other than that, you can replace the term "market" by any coherent, consistent definition and everything said here will continue to remain true, mutatis mutandis.

The (capitalization-weighted) Total Stock Market Index (or a fund designed to track such an Index) is:


The Total Stock Market Index represents the aggregate, averaged behavior of the entire market and all its participants. Therefore, any reasonable boolean predicate P when applied to the market should be projectible onto all of its participants. In other words, a statement of the form "The Index is FOO" makes no sense unless it is also true that "Everyone in the Market together is FOO".

Conversely, if a statement "Everyone in the Market together is FOO" does not, cannot, even in principle, make sense, then the statement "The Index is FOO" also does not, cannot, even in principle, make sense.

Corollary: Anyone who says otherwise is a fool or an unscrupulous liar.

The above statements are true regardless of your opinions on market efficiency and investor rationality.


If, however, you believe in market efficiency and investor rationality, at least in the operational sense (i.e. the market behaves as if all information is incorporated instantaneously into prices, and investors behave as if they are rational and possess full knowledge of all available market information, both to a high-degree of accuracy), then:

The Total Stock Market Index is:


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First written: Thu Nov 9 14:57:10 PST 2000
Last updated: Sun Jun 27 17:00:19 PDT 2004
URL: http://geocities.datacellar.net/krishna_kunchith/markets/tsm.html

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