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Probability and Computational Finance Seminar
Mike Tehranchi
Title: Put-call symmetry and self-duality

Abstract: We discuss generalisations of the notions of put-call symmetry and self-duality. These notions have found applications in the pricing and hedging of certain path-dependent contingent claims. Our results include a classification of the possible forms of self-duality in one-dimension: in addition to the arithmetic and geometric duality already appearing the literature, there exists exactly one other type of symmetry among continuous models. We also give a description of the possible forms of put-call symmetry for common models: in dimension greater than two, interesting new symmetries appear.

Date: Monday, April 16, 2012
Time: 5:00 pm
Location: Wean Hall 5409
Submitted by:  Kasper Larsen