Title
American Options with Lookback Payoff
Abstract
We examine the early exercise policies and pricing behaviors of one-asset American options with lookback payoff structures. The classes of option models considered include floating strike lookback options, Russian options,fixed strike lookback options, and the pricing model of the dynamic protection fund. For each class of the American lookback options, we analyze the optimal stopping region, in particular the asymptotic behavior at times close to expiration and at infinite time to expiration. The interrelations between the price functions of these American lookback options are explored. The mathematical technique of analyzing the exercise boundary curves of lookback options at infinitesimally small asset values is also applied to the American two-asset minimum put option model.
Year
DOI
Venue
2005
10.1137/S0036139903437345
SIAM JOURNAL ON APPLIED MATHEMATICS
Keywords
Field
DocType
lookback options,American feature,free boundary problems,two-asset minimum put option
Put option,Monte Carlo methods for option pricing,Mathematical optimization,Optimal stopping,Asymptotic analysis,Mathematics,Stochastic game
Journal
Volume
Issue
ISSN
66
1
0036-1399
Citations 
PageRank 
References 
5
0.79
2
Authors
2
Name
Order
Citations
PageRank
Min Dai1346.01
Yue Kuen Kwok2325.03