The Journal of Finance

The Journal of Finance publishes leading research across all the major fields of finance. It is one of the most widely cited journals in academic finance, and in all of economics. Each of the six issues per year reaches over 8,000 academics, finance professionals, libraries, and government and financial institutions around the world. The journal is the official publication of The American Finance Association, the premier academic organization devoted to the study and promotion of knowledge about financial economics.

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Option Pricing Bounds in Discrete Time

Published: 06/01/1984   |   DOI: 10.1111/j.1540-6261.1984.tb02324.x

STYLIANOS PERRAKIS, PETER J. RYAN

Upper and lower bounds are derived for call options traded at discrete intervals. These bounds are independent of assumptions on the stock price distribution other than a restriction satisfied by the stock being “non‐negative beta.” The development of the bounds relies on the single‐price law and arbitrage arguments. Both single‐period and multiperiod results are produced, and put option bounds follow by extension. The bounds exist as equilibrium values given a consensus on stock price distribution; they are also valid for empirical studies, being adjustable for dividends and commissions.