q-fin updates on arXiv.org
Fri, 14 Feb 2020 06:02:46 GMT language
We call a given American option representable if there exists a European
claim which dominates the American payoff at any time and such that the values
of the two options coincide in the continuation region of the American option.
This concept has interesting implications from a probabilistic, analytic,
financial, and numeric point of view. Relying on methods from Jourdain and
Martini (2001, 2002), Chrsitensen (2014) and convex duality, we make a first
step towards verifying representability of American options.