American Prices Embedded in European Prices
Abstract
In this paper, we are interested in American option prices in the Black-Schole- s model. For a large class of payoffs, we show that in the region where the European price increases with the time to maturity, this price is equal to the American price of another claim. We give examples in which we explicit the corresponding claims. The characterization of the American claims obtained in this way remains an open question.