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Journal of Financial and Quantitative Analysis Vol. 38 No. 2 2003

Pricing Bounds on Asian Options

J. Aase Nielsen1; Klaus Sandmann2,3

1 Aarhus University · 2 University of Bonn · 3 Escola Brasileira de Economia e Finanças

open access

Abstract

This paper aims to develop and compare bounds on the pricing formulas for European type discrete Asian options. The lower bound is found by conditioning the maturity payment of the Asian option by the geometric average and the bound derived can be expressed as a portfolio of delayed payment European call options. Several exercise price-dependent upper bounds are derived. Like the lower bound, one of the upper bounds is expressed as a portfolio of delayed payment European call options. Through a numerical analysis, we conclude that more information is gained from the readily calculated bounds than from the usually applied pricing approximations. From the closed-form solutions of the bounds, hedging positions are finally derived.

DOI
10.2307/4126759
Volume
38
Issue
2
Pages
449
Sources
crossref openalex

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