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Journal of Financial Economics Vol. 55 No. 2 2000

Spanning and derivative-security valuation

Gurdip Bakshi; Dilip B. Madan

University of Maryland, College Park

Abstract

This article provides the economic foundations for valuing derivative securities. In particular, it establishes how the characteristic function (of the future uncertainty) is basis augmenting and spans the payoff universe of most, if not all, derivative assets. From the characteristic function of the state-price density, it is possible to analytically price options on any arbitrary transformation of the underlying uncertainty. By differentiating (or translating) the characteristic function, limitless pricing and/or spanning opportunities can be designed. The strength and versatility of the methodology is inherent when valuing (1) average-interest options, (2) correlation options, and (3) discretely monitored knock-out options.

DOI
10.1016/s0304-405x(99)00050-1
Volume
55
Issue
2
Pages
205-238
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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