On the Enhanced Convergence of Standard Lattice Methods for Option Pricing

Martin Widdicks, Ari D. Andricopoulos, David P. Newton, Peter W. Duck

Research output: Contribution to journalArticlepeer-review

Abstract

For derivative securities that must be valued by numerical techniques, the trade-off between accuracy and computation time can be a severe limitation. For standard lattice methods, improvements are achievable by modifying the underlying structure of these lattices; however, convergence usually remains non-monotonic. In an alternative approach of general application, it is shown how to use standard methods, such as Cox, Ross, and Rubinstein (CRR), trinomial trees, or finite differences, to produce uniformly converging numerical results suitable for straightforward extrapolation. The concept of Λ, a normalized distance between the strike price and the node above, is introduced, which has wide ranging significance. Accuracy is improved enormously with computation times reduced, often by orders of magnitude.

Original languageEnglish (US)
Pages (from-to)315-338
Number of pages24
JournalJournal of Futures Markets
Volume22
Issue number4
DOIs
StatePublished - Apr 1 2002
Externally publishedYes

ASJC Scopus subject areas

  • Accounting
  • Business, Management and Accounting(all)
  • Finance
  • Economics and Econometrics

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