Pricing of geometric Asian options under Heston's stochastic volatility model

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

In this work, it is assumed that the underlying asset price follows Heston's stochastic volatility model and explicit solutions for the prices of geometric Asian options with fixed and floating strikes are derived. This approach has to deal with the derivation of the generalized joint Fourier transform of a square-root process and of three different weighted integrals of the square-root process with constant, linear and quadratic weights. Numerical implementation results for the complicated expressions are presented, together with the computational stability and efficiency of the method.

Original languageEnglish
Pages (from-to)1795-1809
Number of pages15
JournalQuantitative Finance
Volume14
Issue number10
DOIs
Publication statusPublished - 2014 Oct 1

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Stochastic volatility model
Asian options
Heston
Pricing
Floating
Asset prices
Fourier transform
Integral

Keywords

  • Asian options
  • Methodology of pricing derivatives
  • Options pricing
  • Quantitative finance techniques
  • Stochastic volatility

ASJC Scopus subject areas

  • Finance
  • Economics, Econometrics and Finance(all)

Cite this

Pricing of geometric Asian options under Heston's stochastic volatility model. / Kim, Bara; Wee, In-Suk.

In: Quantitative Finance, Vol. 14, No. 10, 01.10.2014, p. 1795-1809.

Research output: Contribution to journalArticle

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