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An Algorithm for Computing Values of Options on the Maximum or Minimum of Several Assets

Published online by Cambridge University Press:  06 April 2009

Phelim P. Boyle  and
Y. K. Tse
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Abstract

An approximate method is developed for computing the values of European options on the maximum or the minimum of several assets. The method is very fast and is accurate for parameter ranges that are often of the most interest. The approach casts the problem in terms of order statistics and can be used to handle situations where the initial asset prices, the asset variances, and the covariances are all unequal. Numerical values are given to illustrate the accuracy of the method.

Type
Research Article
Information
Journal of Financial and Quantitative Analysis , Volume 25 , Issue 2 , June 1990 , pp. 215 - 227
Copyright
Copyright © School of Business Administration, University of Washington 1990

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References

Boyle, P. P. “The Quality Option and the Timing Option in Futures Contracts.” Journal of Finance, 44 (03 1989), 101–113.CrossRefGoogle Scholar
Boyle, P. P.; Evnine, J.; and Gibbs, S.. “Numerical Evaluation of Multivariate Contingent Claims.” The Review of Financial Studies, 2 (1989), 241–250.CrossRefGoogle Scholar
Carr, P. “Valuing Bond Futures and the Quality Option.” Working Paper, Graduate School of Management, Univ. of California, Los Angeles (1988).Google Scholar
Cheng, S. “Multi-Asset Contingent Claims in a Stochastic Interest Rate Environment.” Working Paper, Graduate School of Business, Columbia Univ. (1985).Google Scholar
Chowdry, B. “Pricing of Futures with Quality Option.” Working Paper, Univ. of Chicago (1986).Google Scholar
Clark, C. “The Greatest of a Finite Set of Random Variables.” Operations Research, 9 (1961), 145–162.CrossRefGoogle Scholar
Gay, G., and Manaster, S.. “The Quality Option Implicit in Futures Contracts.” Journal of Financial Economics, 12 (09. 1984), 353–370.CrossRefGoogle Scholar
Hemler, M. L. “The Quality Delivery Option in Treasury Bond Futures Contracts.” Ph.D. Diss., Graduate School of Business, Univ. of Chicago (1988).Google Scholar
Johnson, H. “Options on the Maximum or Minimum of Several Assets.” Journal of Financial and Quantitative Analysis, 22 (09. 1987), 227–283.CrossRefGoogle Scholar
Kendall, M. G., and Stuart, A.. The Advanced Theory of Statistics, Vol. 1. London: Charles Griffin (1969).Google Scholar
Lerman, S. R., and Manski, C. F.. “On the Use of Simulated Frequencies to Approximate Choice Probabilities.” In Structural Analysis of Discrete Data with Econometric Applications. Manski, C. F. and McFadden, D., eds. Cambridge, MA: MIT Press (1981).Google Scholar
Stulz, R. M. “Options on the Minimum or Maximum of Two Risky Assets.” Journal of Financial Economics, 10 (07 1982), 161–185.CrossRefGoogle Scholar