My Life as a Quant

Derman, a theoretical physicist who moved to Wall Street in 1985, wrote a memoir of that transition and of the development of quantitative finance from inside Goldman Sachs.

The first part covers his training in particle theory at Columbia, the postdoctoral years, and the collapse of academic prospects in physics that pushed a generation of physicists into other fields. He is candid about the disappointment and about what it meant to leave a field he had trained for.

The finance sections describe specific work. He built the Black-Derman-Toy model with Fischer Black and Bill Toy, a one-factor interest rate model calibrated to the observed yield curve and volatility structure, which was among the first models usable for pricing bond options consistently with market prices. He worked on the volatility smile, the empirical fact that implied volatility varies with strike price in violation of the Black-Scholes assumption, and developed local volatility models with Iraj Kani that fit the observed surface. He describes the equity derivatives business and the relationship between the model builders and the traders who used the output.

The reflective material is what distinguishes the book. Derman argues that financial models differ fundamentally from physical ones: physics models describe a reality that does not know it is being modelled, while financial models describe human behaviour and are used by the people being described. He treats models as organised ways of thinking rather than as descriptions of truth, and argues that the profession's failure is treating them as the latter. He developed this further in Models Behaving Badly.

The book is a memoir and does not teach the mathematics. Its account of Goldman's internal culture is one participant's, and it stops well before the 2008 crisis.

Director of the financial engineering programme at Columbia University; earlier a physicist and head of quantitative strategies at Goldman Sachs.

My Life as a Quant describes how derivatives modelling was actually built on a trading floor, including the local volatility model Derman developed with Iraj Kani to fit the smile left after 1987. Models.Behaving.Badly states the limit of that work directly: financial models are approximations fitted to human behaviour, not physical laws, and treating them as laws is a specific way to lose money.

Columbia University, Goldman Sachs