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A parallel wavelet-based pricing procedure for Asian options

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  • S. Corsaro
  • D. Marazzina
  • Z. Marino

Abstract

In this paper, we present a parallel pricing algorithm for Asian options based on the Discrete Wavelet Transform. The computational kernel of the pricing model is the solution of integral equations. We obtain a sparse and accurate representation of the kernel of such equations in wavelet function bases. It is worth pointing out that the execution time of our procedure is almost constant with respect to the number of monitoring dates. Thus, our pricing procedure is particularly competitive when the number of monitoring dates is large. We moreover discuss the parallelization of the algorithm. Numerical results that show the accuracy and efficiency of the procedure are reported in the paper.

Suggested Citation

  • S. Corsaro & D. Marazzina & Z. Marino, 2015. "A parallel wavelet-based pricing procedure for Asian options," Quantitative Finance, Taylor & Francis Journals, vol. 15(1), pages 101-113, January.
    • Handle: RePEc:taf:quantf:v:15:y:2015:i:1:p:101-113
    DOI: 10.1080/14697688.2014.935465
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    References listed on IDEAS

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    1. Fusai, Gianluca & Meucci, Attilio, 2008. "Pricing discretely monitored Asian options under Levy processes," Journal of Banking & Finance, Elsevier, vol. 32(10), pages 2076-2088, October.
    2. Chuang-Chang Chang & Chueh-Yung Tsao, 2011. "Efficient and accurate quadratic approximation methods for pricing Asian strike options," Quantitative Finance, Taylor & Francis Journals, vol. 11(5), pages 729-748.
    3. Gianluca Fusai & Daniele Marazzina & Marina Marena & Michael Ng, 2012. "Z -Transform and preconditioning techniques for option pricing," Quantitative Finance, Taylor & Francis Journals, vol. 12(9), pages 1381-1394, November.
    4. Francis In & Sangbae Kim, 2012. "An Introduction to Wavelet Theory in Finance:A Wavelet Multiscale Approach," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 8431.
    5. Sesana, Debora & Marazzina, Daniele & Fusai, Gianluca, 2014. "Pricing exotic derivatives exploiting structure," European Journal of Operational Research, Elsevier, vol. 236(1), pages 369-381.
    6. Anne Laure Bronstein & Gilles Pages & Benedikt Wilbertz, 2010. "How to speed up the quantization tree algorithm with an application to swing options," Quantitative Finance, Taylor & Francis Journals, vol. 10(9), pages 995-1007.
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    Cited by:

    1. Corsaro, Stefania & Kyriakou, Ioannis & Marazzina, Daniele & Marino, Zelda, 2019. "A general framework for pricing Asian options under stochastic volatility on parallel architectures," European Journal of Operational Research, Elsevier, vol. 272(3), pages 1082-1095.

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