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Pricing Bounds on Asian Options

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Author Info
Nielsen, J. Aase
Sandmann, Klaus

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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.

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Publisher Info
Article provided by Cambridge University Press in its journal Journal of Financial and Quantitative Analysis.

Volume (Year): 38 (2003)
Issue (Month): 02 (June)
Pages: 449-473
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Handle: RePEc:cup:jfinqa:v:38:y:2003:i:02:p:449-473_00

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  1. Xia Su, 2006. "Hedging Basket Options by Using a Subset of Underlying Assets," Bonn Econ Discussion Papers bgse14_2006, University of Bonn, Germany. [Downloadable!]
  2. Griselda Deelstra & Alexandre Petkovic & Michèle Vanmaele, 2008. "Pricing and Hedging Asian Basket Spread Options," ECARES Working Papers 2008_004, Université Libre de Bruxelles, Ecares. [Downloadable!]
  3. Manuel Moreno & Javier F. Navas, 2003. "Australian Asian Options," Economics Working Papers 680, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
  4. Vicky Henderson & David Hobson & William Shaw & Rafal Wojakowski, 2003. "Bounds for Floating-Strike Asian Options using Symmetry," OFRC Working Papers Series 2003mf04, Oxford Financial Research Centre. [Downloadable!]
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This page was last updated on 2009-12-3.


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