On the Relation Between Option and Stock Prices: A Convex Optimization Approach

  title={On the Relation Between Option and Stock Prices: A Convex Optimization Approach},
  author={Dimitris Bertsimas and Ioana Popescu},
  journal={Oper. Res.},
The idea of investigating the relation of option and stock prices based just on the no-arbitrage assumption, but without assuming any model for the underlying price dynamics, has a long history in the financial economics literature. We introduce convex and, in particular semidefinite optimization methods, duality, and complexity theory to shed new light on this relation. For the single stock problem, given moments of the prices of the underlying assets, we show that we can find best-possible… 

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