October 15th, 2002, 3:22 pm
This is not quite correct. Merton, Black and Scholes were all working on this problem together and independently from 1969 to 1973 (by which time the basic results had been published in peer-reviewed journals). Merton and Scholes were faculty members at MIT and Black worked for AD Little but came by the meetings. Of course, others were involved as well, including Paul Samuelson.All three published versions of the formula in working papers, and Merton in lecture notes, before 1973. All three published peer-reviewed papers that showed some of the results. But the seminal paper was:Black, Fischer, and Myron S. Scholes. "The Pricing of Options and Corporate Liabilities." Journal of Political Economy 81 (May/June 1973): 637-654. This does not use CAPM. You are thinking of: Black, Fischer, and Myron S. Scholes. "The Valuation of Option Contracts and a Test of Market Efficiency." Journal of Finance 27 (May 1972): 399-418. Which shows how the model is consistent with CAPM, but is not major paper. It's true that Merton got into print first with:Merton, Robert C. "Theory of Rational Option Pricing." Bell Journal of Economics and Management Science 4, no. 1 (spring 1973): 141-183.but this is a much simpler paper. When this was accepted, the Journal of Political Economy reconsidered their earlier rejection of the Black-Scholes paper (also Eugene Fama and others suggested changes in the paper and lobbied for acceptance). There is no argument among the three men (or the surviving two men) about priority and credit. All worked together, shared ideas and made important independent contributions.The story of the physics professor and the heat equation is also not quite right. It's true that M, B and S couldn't solve the partial differential equation at first. It's also true that at a seminar, someone pointed out the similarity to the physics heat equation, but this person has never been identified. It's certainly possible it was a physics professor or (in the more common version) a physics graduate student. But the equation had already been solved by then, although the analogy allowed a cleaner derivation of the solution.