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On the Boness and Black-Scholes Models for Valuation of Call Options

Published online by Cambridge University Press:  06 April 2009

Dan Galai
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Extract

In this paper we confront two well-known models for pricing options. It shows how the two models, one derived in a discrete time framework by Boness, the other derived in a continuous time framework by Black and Scholes, can be made consistent. In doing so, we find the implicit, discrete period, discount factor for the call option. Several characteristics of the discount factor are analyzed and compared to the characteristics of the instantaneous expected rate of return on the call.

Information

Type
Research Article
Information
Journal of Financial and Quantitative Analysis , Volume 13 , Issue 1 , March 1978 , pp. 15 - 27
Copyright
Copyright © School of Business Administration, University of Washington 1978

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References

REFERENCES

[1]Black, F., and Scholes, M.. “The Pricing of Options and Corporate Liabilities.” Journal of Political Economy, Vol. 81, No. 3 (05–06 1973), pp. 637–654.CrossRefGoogle Scholar
[2]Boness, J. A. “A Theory and Measurement of Stock Option Value.” Ph.D. Dissertation, University of Chicago (03 1962).Google Scholar
[3]Boness, J. A. “Elements of a Theory of Stock-Option Value.” Journal of Political Economy, Vol. 72, No. 2 (04 1964), pp. 163–175.CrossRefGoogle Scholar
[4]Galai, D., and Masulis, R.. “The Option Pricing Model and the Risk Factor of Stock.” Journal of Financial Economics, Vol. 3, No. 102 (1976), pp. 53–81.CrossRefGoogle Scholar
[5]Merton, R. C. “A Dynamic General Equilibrium Model of Asset Market and Its Application to the Pricing of the Capital Structure of the Firm.” Working Paper No. 497–70, Sloan School of Management, M.I.T. (12 1970).Google Scholar
[6]Merton, R. C. “Theory of Rational Option Pricing.” Bell Journal of Economics and Management Science, Vol. 4, No. 1 (Spring 1973), pp. 141–183.Google Scholar