Computational Complexity and Information Asymmetry in Financial Products

Computational complexity studies intractable problems like NP-complete problems, which are conjectured to require more computational resources than can be provided by the fastest computers. The intractability of this problem leads to a concrete realization of information asymmetry. Computational complexity immediately implies the existence of hard-to-price derivatives, albeit unnatural ones. Consider for example a derivative whose contract contains a 10,000 digit integer n and has a nonzero payoff if the unemployment rate next January, when rounded to the nearest integer, is the last digit of a factor of n. Computational complexity can be related to the bounded rationality concept in economics. A seller who knows he has a non-lemon would be unwilling to sell for $800, and would therefore withdraw from the market. The market would be left only with lemons, and knowing this, buyers would refuse to buy any car.