The long history of the theory of option pricing began in 1900 when the French mathematician Louis Bachelier deduced an option pricing formula based on the assumption that stock prices follow a Brownian motion with zero drift. Since that time, numerous researchers have contributed to the theory....

The findings of Jensen-Long and Stiglitz on the optimality of the stock market allocation have led to a controversy over whether the sources of the nonoptimality of value maximization are noncompetive assumptions about the capital market or are inherent externalities associated with uncertainty...