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Option Bounds with Finite Revision Opportunities
Author(s) -
RITCHKEN PETER H.,
KUO SHYANJAW
Publication year - 1988
Publication title -
the journal of finance
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 18.151
H-Index - 299
eISSN - 1540-6261
pISSN - 0022-1082
DOI - 10.1111/j.1540-6261.1988.tb03940.x
Subject(s) - binomial (polynomial) , upper and lower bounds , mathematics , valuation of options , mathematical economics , mathematical optimization , economics , econometrics , statistics , mathematical analysis
This article generalizes the single‐period linear‐programming bounds on option prices by allowing for a finite number of revision opportunities. It is shown that, in an incomplete market, the bounds on option prices can be derived using a modified binomial option‐pricing model. Tighter bounds are developed under more restrictive assumptions on probabilities and risk aversion. For this case the upper bounds are shown to coincide with the upper bounds derived by Perrakis, while the lower bounds are shown to be tighter.