Pricing exotic derivatives using regret minimization

  • Authors:
  • Eyal Gofer;Yishay Mansour

  • Affiliations:
  • Tel Aviv University, Tel Aviv, Israel;Tel Aviv University, Tel Aviv, Israel

  • Venue:
  • SAGT'11 Proceedings of the 4th international conference on Algorithmic game theory
  • Year:
  • 2011

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Abstract

We price various financial instruments, which are classified as exotic options, using the regret bounds of an online algorithm. In addition, we derive a general result, which upper bounds the price of any derivative whose payoff is a convex function of the final asset price. The market model used is adversarial, making our price bounds robust. Our results extend the work of [9], which used regret minimization to price the standard European call option, and demonstrate the applicability of regret minimization to derivative pricing.