American Derivatives in Dry Markets

Ana Lacerda, Joao Amaro de Matos

Research output: Contribution to journalArticle

Abstract

This paper studies the impact of dry markets for underlying assets on the pricing and optimal exercise of American derivatives. Dry markets are characterized by the possibility of non-existence of trading at certain dates. Such non-existence may be deterministic or probabilistic. Using superreplicating strategies, we derive expectation representations for the range of arbitrage-free values of the derivatives. In the probabilistic case, if we consider an enlarged filtration induced by the price process and the market existence process, ordinary stopping times are required. If not, randomized stopping times are required. Several comparisons of the ranges obtained with the two market restrictions are performed. Finally, we conclude that market incompleteness delays the optimal exercise of American derivatives, although there may exist moments when there is indifference between exercising and selling the American derivative
Original languageEnglish
JournalSSRN Electronic Journal
DOIs
Publication statusPublished - Mar 2008

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