Hostname: page-component-76fb5796d-2lccl Total loading time: 0 Render date: 2024-04-26T07:27:40.073Z Has data issue: false hasContentIssue false

Options on the Maximum or the Minimum of Several Assets

Published online by Cambridge University Press:  06 April 2009

Abstract

Using an intuitive approach that also provides new intuition concerning the Black and Scholes equation, this paper extends the results of Johnson and Stulz to the pricing of options on the minimum or the maximum of several risky assets.

Type
Research Article
Copyright
Copyright © School of Business Administration, University of Washington 1987

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

[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]Boness, A. J.Elements of a Theory of Stock-Option Value.” Journal of Political Economy, 72 (04 1964), 163175.CrossRefGoogle Scholar
[3]Cox, J. C and Ross, S. A.. “The Valuation of Options for Alternative Stochastic Processes.” Journal of Financial Economics, 3 (03 1976), 145166.CrossRefGoogle Scholar
[4]Dothan, M. U. and Williams, J.. “Education as an Option.” Journal of Business, 54 (01 1981), 117139.CrossRefGoogle Scholar
[5]Garman, M. and Hawkins, G.. “Another Look at Put-Call Parity.” Unpubl. paper presented at the American Finance Association meetings (12 1984).Google Scholar
[6]Gay, G. D. and Manaster, S.. “The Quality Option Implicit in Futures Contracts.” Journal of Financial Economics, 13 (09 1984), 353370.CrossRefGoogle Scholar
[7]Geske, R.The Valuation of Corporate Liabilities as Compound Options.” Journal of Financial and Quantitative Analysis, 12(11 1977), 541552.CrossRefGoogle Scholar
[8]Geske, R. and Johnson, H.. “The American Put Option Valued Analytically.” Journal of Finance, 39 (12 1984), 15111524.CrossRefGoogle Scholar
[9]Johnson, H. “The Pricing of Complex Options.” Unpubl. manuscript (08 1981).Google Scholar
[10]Margrabe, W.The Value of an Option to Exchange One Asset for Another.” Journal of Finance, 33 (03 1978), 177186.CrossRefGoogle Scholar
[11]Merton, R.A Rational Theory of Option Pricing.” Bell Journal of Economics and Management Science, 4 (Spring 1973), 141183.Google Scholar
[12]Merton, R.On the Pricing of Corporate Debt: The Risk Structure of Interest Rates.” Journal of Finance, 29 (05 1974), 449470.Google Scholar
[13]Schervish, M.Algorithm AS195: Multivariate Normal Probabilities with Error Bound.” Applied Statistics, 34 (01 1985), 103104.CrossRefGoogle Scholar
[14]Smith, C.Option Pricing; A Review.” Journal of Financial Economics, 3 (01/03 1976), 351.CrossRefGoogle Scholar
[15]Stulz, R.Options on the Minimum or the Maximum of Two Risky Assets: Analysis and Applications.” Journal of Financial Economics, 10 (07 1982), 161185.CrossRefGoogle Scholar
[16]Tilley, J. A. and Latainer, G. D.. “A Synthetic Option Framework for Asset Allocation.” Financial Analysts Journal, 41 (05/06 1985), 3243.CrossRefGoogle Scholar