The Peculiar Logic of the Black-Scholes Model

Philosophy of Science 85 (5):1152-1163 (2018)
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Abstract

The Black-Scholes model of options pricing establishes a theoretical relationship between the “fair” price of an option and other parameters characterizing the option and prevailing market conditions. Here I discuss a common application of the model with the following striking feature: the output of analysis apparently contradicts one of the core assumptions of the model on which the analysis is based. I will present several attitudes one might take toward this situation and argue that it reveals ways in which a “broken” model can nonetheless provide useful information.

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James Weatherall
University of California, Irvine

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References found in this work

Image and Logic: A Material Culture of Microphysics.Peter Galison (ed.) - 1997 - University of Chicago Press: Chicago.
Essays in Positive Economics.Milton Friedman - 1953 - University of Chicago Press.
Nature's Capacities and Their Measurement.Tim Maudlin & Nancy Cartwright - 1993 - Journal of Philosophy 90 (11):599.
Emergence, Singularities, and Symmetry Breaking.Robert W. Batterman - 2011 - Foundations of Physics 41 (6):1031-1050.

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