The Physics of Wall Street: a brief History of Predicting the Unpredictable
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Physics Hits the Street
• 111 he was drawn to: it was (in his words) an equilibrium theory. “equi- librium was the concept that attracted me to finance and econom- ics,” Black wrote in 1987. cAPM was an equilibrium theory because it described economic value as the natural balance between risk and reward. the idea that the world was in a constantly evolving equi- librium would have appealed to Black’s sensibilities as a physicist: in physics, one often finds that complicated systems tend toward states that are stable under small changes. these states are called equilibrium states because they, too, represent a kind of balance between different influences. Black set out to learn everything that treynor knew about finance, so that when treynor left AdL, just a year after he and Black first met, Black was the natural person to take treynor’s place on AdL’s financial consulting team — and further perfect treynor’s model. cAPM would form the foundation for virtually all of the work Black would go on to do. If Jack treynor initiated Black’s transformation into a financial econo- mist, Myron Scholes brought it to fruition. Scholes arrived in cam- bridge in September 1968, a fresh doctorate from the University of chicago in hand. A fellow graduate student in chicago, Michael Jen- sen, had recommended that Scholes look up Black — an “interesting fellow,” in Jensen’s estimation. Scholes called soon after arriving in cambridge. Both men were young: Scholes had just turned twenty- seven, and Black was thirty. neither was particularly accomplished, though Scholes’s recent appointment as an assistant professor at MIt was a promising sign. they met over lunch in the drab, institutional cafeteria at AdL’s Acorn Park campus. one rarely imagines history unfolding over a cafeteria meal shared by undistinguished men. And yet, that first meeting between Black and Scholes was the start of a friendship that would change financial markets forever. Black and Scholes were polar opposites. Black was quiet, even shy. Scholes was outgoing and brash. Black was interested in applied work, but he had a theoretical, abstract mind. Scholes, meanwhile, had just written a heavily empirical thesis, analyzing piles of data to test the efficient market hypothesis, which by this point had been elevated to a central principle of neoclassical economics. It is difficult to imag- ine how that first conversation could have gone. And yet, something clearly clicked. the two men met again, and then again. Soon they had laid the foundation for a lifelong friendship and intellectual partner- ship. Scholes invited Black to participate in the weekly MIt finance workshop, which was Black’s first opportunity to fully engage with fi- nance academics. Soon after, Wells fargo approached Scholes with an offer for a consulting arrangement, to help the bank implement some of the new ideas in finance, like cAPM, that were just bubbling to the surface in academia. Scholes felt that he didn’t have enough time to do the work himself, but he knew someone who would be perfect for the job. Black quickly agreed, and in March 1969, some six months after that first meeting in the AdL cantina, Black quit his job at AdL and went off on his own. He started a new consulting firm, called As- sociates in finance, with Wells fargo as his principal client. He and Scholes were tapped to help Wells fargo create a new, state-of-the-art investment strategy. It was around this time that Black began thinking about ways to extend cAPM to different kinds of assets and different kinds of port- folios. for instance, he tried to apply cAPM to the question of how to apportion one’s investments over time. Should you change your risk exposure as you get older, as some people were suggesting? Black de- cided the answer was no: just as you want to diversify over different stocks at a given time, you also want to diversify over different times, to minimize the impact that any particular stretch of bad luck might have. the question of how to value options using cAPM was just one of the many such problems that Black was working on at this time. And as early as the summer of 1969, Black had already made progress, by deriving the fundamental relationship that would ultimately give rise to the Black-Scholes equation. the essential insight was that at any given instant, it is always pos- sible to create a portfolio consisting of a stock and an option on that stock that would be perfectly risk-free. If this sounds familiar, it’s be- cause the idea is very similar to the one at the heart of thorp’s delta hedging strategy: he, too, realized that if the prices of options and their underlying assets are related, you could combine options and stocks 112 • t h e p h y s i c s o f wa l l s t r e e t |
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