Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-03T01:56:54.995Z Has data issue: false hasContentIssue false

An Analytic Approximation for the American Put Price for Options on Stocks with Dividends

Published online by Cambridge University Press:  06 April 2009

Abstract

In a recent paper, Johnson [7] has given an analytic approximation to the American put price that delivers values that are very close to numerical solutions. The limitation to the Johnson approximation is that it is only applicable to put options on stocks without cash dividends. This study modifies the Johnson approximation to value options on stocks that have one exdividend date prior to the option expiration date, and these approximation values are compared to the analytic solutions provided by the Geske and Johnson [6] American put option pricing model. The approximation values are generally very close to the analytic solutions.

Type
Research Article
Copyright
Copyright © School of Business Administration, University of Washington 1986

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1]Black, F., and Scholes, M.. “The Pricing of Options and Corporate Liabilities.” Journal of Political Economy, 81 (05/06 1973), 637659.CrossRefGoogle Scholar
[2]Brennan, M., and Schwartz, E.. “The Valuation of American Put Options.” Journal of Finance, 32 (05 1977), 449462.CrossRefGoogle Scholar
[3]Cox, J., and Rubinstein, M.. Options Markets. Englewood Cliffs, NJ: Prentice-Hall (1985).Google Scholar
[4]Cox, J.; Ross, S.; and Rubinstein, M.. “Option Pricing: A Simplified Approach.” Journal of Financial Economics, 7 (09 1979), 229263.CrossRefGoogle Scholar
[5]Dahlquist, G., and Bjorck, A.. Numerical Methods. Englewood Cliffs, NJ: Prentice-Hall (1974).Google Scholar
[6]Geske, R., and Johnson, H.. “The American Put Option Valued Analytically.” Journal of Finance, 39 (12 1984), 15111524.CrossRefGoogle Scholar
[7]Johnson, H.An Analytic Approximation for the American Put Price.” Journal of Financial and Quantitative Analysis, 18 (03 1983), 141148.CrossRefGoogle Scholar
[8]Johnson, H. “Three Topics in Option Pricing.” Unpubl. Ph.D. diss., UCLA, (1981).Google Scholar
[9]Parkinson, M.Option Pricing: The American Put.” Journal of Business, 50 (01 1977), 2136.CrossRefGoogle Scholar