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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Arbitrage, Continuous Trading, and Margin Requirements
Published: 12/01/1987 | DOI: 10.1111/j.1540-6261.1987.tb04357.x
DAVID C. HEATH, ROBERT A. JARROW
This paper studies the impact that margin requirements have on both the existence of arbitrage opportunities and the valuation of call options. In the context of the Black‐Scholes economy, margin restrictions are shown to exclude continuous‐trading arbitrage opportunities and, with two additional hypotheses, still to allow the Black‐Scholes call model to apply. The Black‐Scholes economy consists of a continuously traded stock with a price process that follows a geometric Brownian motion and a continuously traded bond with a price process that is deterministic.