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An Autoregressive Conditional Binomial Option Pricing Model

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Author Info
Olivier Renault
Jean-Luc Prigent
Olivier Scaillet

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Abstract

This paper offers an option pricing framework grounded in econometric microstructure modelling. We consider a model where stock price dynamics follow a pure jump process with constant jump size similar to a binomial setting with random time steps. Jump arrival times are described as an Autoregressive Conditional Duration (ACD) process while conditional probabilities of up-moves and down-moves are given by the logistic transformation of an autoregressive prices. We derive no-arbitrage pricing formulae under the minimal martingale measure and illustrate the use of our Autoregressive Conditional Binomial (ACB) option pricing model on intraday IBM stock date.

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Paper provided by Financial Markets Group in its series FMG Discussion Papers with number dp364.

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Date of creation: Nov 2000
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Handle: RePEc:fmg:fmgdps:dp364

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  1. Fernandes, Marcelo & Grammig, Joachim, 2003. "A family of autoregressive conditional duration models," Economics Working Papers (Ensaios Economicos da EPGE) 501, Graduate School of Economics, Getulio Vargas Foundation (Brazil). [Downloadable!]
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  2. GIOT, Pierre, 2000. "Intraday value-at-risk," CORE Discussion Papers 2000045, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
  3. Fernandes, Marcelo & Grammig, Joachim, 2003. "Nonparametric specification tests for conditional duration models," Economics Working Papers (Ensaios Economicos da EPGE) 502, Graduate School of Economics, Getulio Vargas Foundation (Brazil). [Downloadable!]
    Other versions:
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