Pricing futures on geometric indexes: A discrete time approach

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Pricing futures on geometric indexes: A discrete time approach

Author Info

Arie Harel ()
Giora Harpaz ()
Jack Francis ()

Abstract

Several futures contracts are written against an underlying asset that is a geometric, rather than arithmetic, index. These contracts include: the US Dollar Index futures, the CRB-17 futures, and the Value Line geometric index futures. Due to the geometric averaging, the standard cost-of-carry futures pricing formula is improper for pricing these futures contracts. We assume that asset prices are lognormally distributed, and capital markets are complete. Using the concepts of equivalent martingale measure and the risk-neutral valuation relationships in conjunction with discrete time methodology, we derive closed-form pricing formulas for these contracts. Our pricing formulas are consistent with the ones obtained via a continuous time paradigm. Copyright Springer Science+Business Media, LLC 2007

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Publisher Info
Article provided by Springer in its journal Review of Quantitative Finance and Accounting.

Volume (Year): 28 (2007)
Issue (Month): 3 (April)
Pages: 227-240
Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Handle: RePEc:kap:rqfnac:v:28:y:2007:i:3:p:227-240

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

Black, Fischer, 1976. "The pricing of commodity contracts," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 167-179. [Downloadable!] (restricted)
Jarrow, Robert A. & Oldfield, George S., 1981. "Forward contracts and futures contracts," Journal of Financial Economics, Elsevier, vol. 9(4), pages 373-382, December. [Downloadable!] (restricted)
Cox, John C. & Ross, Stephen A., 1976. "The valuation of options for alternative stochastic processes," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 145-166. [Downloadable!] (restricted)
Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-54, May-June. [Downloadable!] (restricted)
Eytan, T Hanan & Harpaz, Giora, 1986. " The Pricing of Futures and Options Contracts on the Value Line Index," Journal of Finance, American Finance Association, vol. 41(4), pages 843-55, September. [Downloadable!] (restricted)

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