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

Kyoung Sook Moon, Hongjoong Kim

Research output: Contribution to journalArticle

5 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)873-884
Number of pages12
JournalQuantitative Finance
Volume13
Issue number6
DOIs
Publication statusPublished - 2013 Feb 20

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Assets
Node
Contingent claims
Option value
Option prices

Keywords

  • American options
  • Lattice method
  • Local average
  • Multi-asset option pricing

ASJC Scopus subject areas

  • Economics, Econometrics and Finance(all)
  • Finance

Cite this

A multi-dimensional local average lattice method for multi-asset models. / Moon, Kyoung Sook; Kim, Hongjoong.

In: Quantitative Finance, Vol. 13, No. 6, 20.02.2013, p. 873-884.

Research output: Contribution to journalArticle

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