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A multi-dimensional local average lattice method for multi-asset models

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  • Kyoung-Sook Moon
  • Hongjoong Kim

Abstract

We develop a multi-dimensional local average lattice method in order to compute efficiently and accurately the price of multivariate contingent claims. The proposed method improves the accuracy of the standard lattice method by considering the local averages of option prices around each node at the final time, rather than the prices at the nodes. The average value smooths the oscillatory behavior of the lattice method, which leads to fast convergence of the option values. Numerical computations show that the proposed local average lattice method is more efficient than other lattice methods for a given level of accuracy.

Suggested Citation

  • Kyoung-Sook Moon & Hongjoong Kim, 2013. "A multi-dimensional local average lattice method for multi-asset models," Quantitative Finance, Taylor & Francis Journals, vol. 13(6), pages 873-884, May.
    • Handle: RePEc:taf:quantf:v:13:y:2013:i:6:p:873-884
    DOI: 10.1080/14697688.2012.744086
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    References listed on IDEAS

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    Cited by:

    1. G. Rigatos & P. Siano, 2018. "Stabilization of Mortgage Price Dynamics Using a Boundary PDE Feedback Control Approach," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 16(1), pages 37-56, March.
    2. Kyoung-Sook Moon & Yunju Jeong & Hongjoong Kim, 2016. "An Efficient Binomial Method for Pricing Asian Options," ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, Faculty of Economic Cybernetics, Statistics and Informatics, vol. 50(2), pages 151-164.
    3. Chaeyoung Lee & Jisang Lyu & Eunchae Park & Wonjin Lee & Sangkwon Kim & Darae Jeong & Junseok Kim, 2020. "Super-Fast Computation for the Three-Asset Equity-Linked Securities Using the Finite Difference Method," Mathematics, MDPI, vol. 8(3), pages 1-13, February.

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