Artigo Revisado por pares

The Pricing of Futures and Options Contracts on the Value Line Index

1986; Wiley; Volume: 41; Issue: 4 Linguagem: Inglês

10.2307/2328232

ISSN

1540-6261

Autores

T. Hanan Eytan, Giora Harpaz,

Tópico(s)

Financial Markets and Investment Strategies

Resumo

The Journal of FinanceVolume 41, Issue 4 p. 843-855 Article The Pricing of Futures and Options Contracts on the Value Line Index T. HANAN EYTAN, T. HANAN EYTANSearch for more papers by this authorGIORA HARPAZ, GIORA HARPAZBoth authors from Department of Economics and Finance, Baruch College-The City University of New York. We wish to thank an anonymous reviewer for comments on an earlier draft of this paper. The authors are, of course, responsible for all the remaining errors.Search for more papers by this author T. HANAN EYTAN, T. HANAN EYTANSearch for more papers by this authorGIORA HARPAZ, GIORA HARPAZBoth authors from Department of Economics and Finance, Baruch College-The City University of New York. We wish to thank an anonymous reviewer for comments on an earlier draft of this paper. The authors are, of course, responsible for all the remaining errors.Search for more papers by this author First published: September 1986 https://doi.org/10.1111/j.1540-6261.1986.tb04552.xCitations: 14 Read the full textAboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL ABSTRACT This paper considers the problems peculiar to the Value Line Index, because of its use of geometric averaging, as regards the pricing of options and futures on that index. The Value Line Composite Index (VLCI) is an equally weighted geometric average index of nearly 1700 stocks. The VLCI futures market has existed since 1982 while the VLCI options market was established in 1985. This paper provides valuation formulas and analyzes the economic properties of these contracts. Because of the geometric averaging in the VLCI, its contingent claims have special properties. For example, the futures price may fall short of the spot price and the value of a VLCI call option may decline when the volatility of the index is increased. VLCI futures are shown to provide a direct means for duplicating an equally weighted portfolio of the underlying stocks. REFERENCES 1F. Black."The Pricing of Commodity Contracts."Journal of Financial Economics 3 (March 1976), 167– 79. 2F. Black andM. Scholes."The Pricing of Options and Corporate Liabilities."Journal of Political Economy 81 (May 1973), 637– 54. 3G. M. Constantinides."Capital Market Equilibrium with Personal Tax."Econometrica 51 (June 1983), 611– 56. 4B. Cornell andK. French."Taxes and the Pricing of Stock Index Futures."The Journal of Finance 38 (June 1983), 675– 94. 5B. Cornell andM. Reinganum."Forward and Futures Prices: Evidence from the Foreign 'Exchange Markets'."The Journal of Finance 36 (December 1981), 1035– 45. 6J. C. Cox andS. A. Ross."The Valuation of Options for Alternative Stochastic Processes."Journal of Financial Economics 3 (January 1976), 145– 66. 7J. C. Cox,J. Ingersoll, andS. A. Ross."The Relation between Forward Prices and Futures Prices."Journal of Financial Economics 9 (December 1981), 321– 46. 8S. Figlewski."Margins and Market Integrity: Margin Setting for Stock Index Futures and Options."Journal of Futures Markets 4 (Fall 1984), 385– 416. 9S. Figlewski."Explaining the Early Discounts on Stock Index Futures: The Case for Disequilibrium."Financial Analysts Journal 40 (July/August 1984), 43– 47. 10S. Figlewski andS. Kon."Portfolio Management with Stock Index Futures."Financial Analysts Journal 38 (January 1982), 52– 60. 11K. R. French."A Comparison of Futures and Forward Prices."Journal of Financial Economics 12 (November 1983), 311– 42. 12A. Friedman. Stochastic Differential Equations and Applications, vols. I and II. New York: Academic Press, 1975. 13R. Geske andH. Johnson."The American Put Option Valued Analytically."The Journal of Finance 39 (December 1984), 1511– 24. 14R. Geske andR. Roll."On Valuing American Call Options with the Black-Scholes European Formula."The Journal of Finance 39 (June 1984), 443– 55. 15H. E. Johnson."An Analytic Approximation for the American Put Price."Journal of Financial and Quantitative Analysis 18 (March 1983), 141– 48. 16R. C. Merton."Theory of Rational Option Pricing."Bell Journal of Economics and Management Science 4 (Spring 1973), 141– 83. 17D. M. Modest andM. Sundaresan."The Relationship between Spot and Futures Prices in Stock Index Futures Markets: Some Preliminary Evidence."Journal of Futures Markets 3 (Fall 1983), 15– 41. 18P. A. Samuelson."Rational Theory of Warrant Pricing."Industrial Management Review 6 (Spring 1965), 13– 31. 19P. A. Samuelson andR. Merton."A Complete Model of Warrant Pricing that Maximizes Utility."Industrial Management Review 10 (Winter 1969), 17– 46. 20C. W. Smith."Option Pricing: A Review."Journal of Financial Economics 3 (January 1976), 3– 51. Citing Literature Volume41, Issue4September 1986Pages 843-855 ReferencesRelatedInformation

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