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CHARACTERIZATION OF OPTIMAL STOPPING REGIONS OF AMERICAN ASIAN AND LOOKBACK OPTIONS
Author(s) -
Dai Min,
Kwok Yue Kuen
Publication year - 2006
Publication title -
mathematical finance
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.98
H-Index - 81
eISSN - 1467-9965
pISSN - 0960-1627
DOI - 10.1111/j.1467-9965.2006.00261.x
Subject(s) - optimal stopping , asian option , monotonic function , yield (engineering) , asian americans , characterization (materials science) , econometrics , actuarial science , economics , mathematics , financial economics , valuation of options , political science , physics , mathematical analysis , ethnic group , law , thermodynamics , optics
A general framework is developed to analyze the optimal stopping (exercise) regions of American path‐dependent options with either the Asian feature or lookback feature. We examine the monotonicity properties of the option values and stopping regions with respect to the interest rate, dividend yield, and time. From the ordering properties of the values of American lookback options and American Asian options, we deduce the corresponding nesting relations between the exercise regions of these American options. We illustrate how some properties of the exercise regions of the American Asian options can be inferred from those of the American lookback options.