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Efficient quadrature and node positioning for exotic option valuation

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  • San‐Lin Chung
  • Kunyi Ko
  • Mark B. Shackleton
  • Chung‐Ying Yeh

Abstract

We combine the best features of two highly successful quadrature option pricing streams, improving the linked issues of numerical precision and abscissa positioning. Coupling the recombining abscissa (node) approach used in Andricopoulos, A., Widdicks, M., Duck, P., and Newton, D.P. ( 2003 ) (AWDN as well as AWND, 2007 ) with the Gauss‐Legendre Quadrature (GQ) method of Sullivan, M.A. ( 2000 ) yields highly accurate and efficient option prices for a range of standard and exotic specifications including barrier options and in particular for NGARCH, CEV, and jump‐diffusion processes. The improvements are due to manner in which GQ positions nodes and the use of these values without interpolation. © 2010 Wiley Periodicals, Inc. Jrl Fut Mark

Suggested Citation

  • San‐Lin Chung & Kunyi Ko & Mark B. Shackleton & Chung‐Ying Yeh, 2010. "Efficient quadrature and node positioning for exotic option valuation," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 30(11), pages 1026-1057, November.
  • Handle: RePEc:wly:jfutmk:v:30:y:2010:i:11:p:1026-1057
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    Cited by:

    1. Vidal Nunes, João Pedro & Ruas, João Pedro & Dias, José Carlos, 2015. "Pricing and static hedging of American-style knock-in options on defaultable stocks," Journal of Banking & Finance, Elsevier, vol. 58(C), pages 343-360.
    2. Jean-Guy Simonato, 2016. "A Simplified Quadrature Approach for Computing Bermudan Option Prices," International Review of Finance, International Review of Finance Ltd., vol. 16(4), pages 647-658, December.

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