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On Option Pricing Bounds
Author(s) -
RITCHKEN PETER H.
Publication year - 1985
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.1540-6261.1985.tb02373.x
Subject(s) - valuation of options , log normal distribution , black–scholes model , mathematics , mathematical economics , economics , upper and lower bounds , asian option , econometrics , statistics , volatility (finance) , mathematical analysis
The purpose of this article is to compare the Perrakis and Ryan bounds of option prices in a single‐period model with option bounds derived using linear programming. It is shown that the upper bounds are identical but that the lower bounds are different. A comparison of these bounds, together with Merton's bounds and the Black‐Scholes prices in a lognormal securities market, is presented.