The 'law of one price' is an
economic law stated as: "In an
efficient market all identical
goods must have only one price."
The intuition for this law is that all
sellers will flock to the highest prevailing price, and all
buyers to the lowest current market price. In an efficient market the convergence on one price is instant.
An example: Financial markets
Commodities can be traded on
financial markets, where there will be a single
offer price, and
bid price. Although there is a small
spread between these two values the 'law of one price' applies (to each). No trader will
sell the commodity at a lower price than the
market maker's offer-level or
buy at a higher price than the market maker's bid-level. In either case moving away from the prevailing price would either leave no takers, or be
charity.
In the
derivatives market the law applies to
financial instruments which appear different, but which resolve to the same set of cash flows; see
Rational pricing. Thus:
:"''a security must have a single price, no matter how that security is created. For example, if an option can be created using two different sets of underlying securities, then the total price for each would be the same or else an
arbitrage opportunity would exist."''
[1]
Where the law does not apply
★ The law does not apply ''intertemporally'', so prices for the same item can be different at different times in one market. The application of the law to financial markets in the example above is obscured by the fact that the
market maker's prices are continually moving in
liquid markets. However, at the ''moment'' each trade is executed, the law is in force (it would normally be against exchange rules to break it).
★ The law also need not apply if buyers have
less than perfect information about where to find the lowest price. In this case, sellers face a tradeoff between the frequency and the profitability of their sales. That is, firms may be indifferent between posting a high price (thus selling infrequently, because most consumers will
search for a lower one) and a low price (at which they will sell more often, but earn less profit per sale).
[1]
★
The Balassa-Samuelson effect argues that the law of one price is not applicable to all goods internationally, because some goods are not
tradable. It argues that the consumption may be cheaper in some countries than others, because nontradables (especially land and labor) are cheaper in less developed countries. This makes a typical consumption basket cheaper in a less developed country, even if some goods in that basket have their prices equalized by international trade.
See also
★
Price dispersion
★
Search theory
References
★
Law of One Price, investorwords.com
★ Baye, Michael, John Morgan and Patrick Scholten, "
Information, Search, and Price Dispersion," (in ''Handbook on Economics and Information Systems'', T. Hendershott, Ed., Elsevier, forthcoming)
★
Nash-Equilibrium.com
1. Burdett, Kenneth, and Kenneth Judd (1983), 'Equilibrium price dispersion'. Econometrica 51 (4), pp. 955-69.