Non-Traded Asset Valuation with Portfolio Constraints: A Binomial Approach

Posted: 11 Jul 1999

See all articles by Jerome Detemple

Jerome Detemple

Boston University Questrom School of Business; Center for Interuniversity Research and Analysis on Organization (CIRANO)

Suresh M. Sundaresan

Columbia Business School - Finance and Economics

Abstract

We provide a simple binomial framework to value American-style derivatives subject to trading restrictions. The optimal investment of liquid wealth is solved simultaneously with the early exercise decision of the non-traded derivative. No-short-sales constraints on the underlying asset manifest themselves in the form of an implicit dividend yield in the risk neutralized process for the underlying asset. One consequence is that American call options may be optimally exercised prior to maturity even when the underlying asset pays no dividends. Applications to Executive Stock Options (ESO) are presented: it is shown that the value of an ESO could be substantially lower than that computed using the Black-Scholes model. We also analyze non-traded payoffs based on a price that is imperfectly correlated with the price of a traded asset.

JEL Classification: G13

Suggested Citation

Detemple, Jerome and Sundaresan, Suresh M., Non-Traded Asset Valuation with Portfolio Constraints: A Binomial Approach. Review of Financial Studies, Vol. 12, Issue 3, Available at SSRN: https://ssrn.com/abstract=161619

Jerome Detemple (Contact Author)

Boston University Questrom School of Business ( email )

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Center for Interuniversity Research and Analysis on Organization (CIRANO)

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Suresh M. Sundaresan

Columbia Business School - Finance and Economics ( email )

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New York, NY 10027
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212-316-9180 (Fax)

HOME PAGE: http://www0.gsb.columbia.edu/faculty/ssundaresan/

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