Journal Article

Nontraded Asset Valuation with Portfolio Constraints: A Binomial Approach

Jérôme Detemple and Suresh Sundaresan

in The Review of Financial Studies

Published on behalf of The Society for Financial Studies

Volume 12, issue 4, pages 835-872
Published in print July 1999 | ISSN: 0893-9454
Published online June 2015 | e-ISSN: 1465-7368 | DOI: http://dx.doi.org/10.1093/rfs/12.4.835
Nontraded Asset Valuation with Portfolio Constraints: A Binomial Approach

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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 nontraded 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 nontraded payoffs based on a price that is imperfectly correlated with the price of a traded asset.

Journal Article.  15165 words.  Illustrated.

Subjects: Financial Markets

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