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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Spanning with Short‐Selling Restrictions

Published: 06/01/1993   |   DOI: 10.1111/j.1540-6261.1993.tb04740.x

MARTIN RAAB, ROBERT SCHWAGER

In principle, the set of attainable payoff vectors is reduced if assets cannot be sold short. However, we show that the original space of payoff vectors is spanned despite short sale restrictions if there is one additional asset whose payoff is a positively weighted sum of the payoffs of the original assets. For example, this condition is automatically fulfilled if the original assets are stocks and the additional asset is an index future consisting of these stocks.