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The no arbitrage condition in option implied trees: evidence from the Italian index options market


  • V. Moriggia


  • S. Muzzioli


  • C. Torricelli



A major issue in the construction of implied trees is the no arbitrage property preservation. Within the literature on deterministic smile-consistent trees using forward induction, two major contributions are: Derman and Kani (1994) and Barle and Cakici (1998). The former proposes a methodology to override the nodes that violate the no arbitrage condition. The latter extends the Derman and Kani’s algorithm, in order to increase its stability in the presence of high interest rates. The aim of the present paper is to modify the Derman and Kani’s methodology in order to improve the fit of the implied tree to option prices. The proposed methodology is compared with Barle and Cakici both in the sample and out of sample with Italian index options data. Overall findings support a better performance of the modified Derman and Kani’s methodology.

Suggested Citation

  • V. Moriggia & S. Muzzioli & C. Torricelli, 2005. "The no arbitrage condition in option implied trees: evidence from the Italian index options market," Department of Economics 0491, University of Modena and Reggio E., Faculty of Economics "Marco Biagi".
  • Handle: RePEc:mod:depeco:0491

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    References listed on IDEAS

    1. Angeliki Kourelis & Carlo Cottarelli, 1994. "Financial Structure, Bank Lending Rates, and the Transmission Mechanism of Monetary Policy," IMF Working Papers 94/39, International Monetary Fund.
    2. Sander, Harald & Kleimeier, Stefanie, 2004. "Convergence in euro-zone retail banking? What interest rate pass-through tells us about monetary policy transmission, competition and integration," Journal of International Money and Finance, Elsevier, vol. 23(3), pages 461-492, April.
    3. Neil R. Ericsson & James G. MacKinnon, 2002. "Distributions of error correction tests for cointegration," Econometrics Journal, Royal Economic Society, vol. 5(2), pages 285-318, June.
    4. Inês Cabral & Frank Dierick & Jukka Vesala, 2002. "Banking integration in the euro area," Occasional Paper Series 06, European Central Bank.
    5. Hansen, Bruce E, 2002. "Tests for Parameter Instability in Regressions with I(1) Processes," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 45-59, January.
    6. Andrews, Donald W K, 1993. "Tests for Parameter Instability and Structural Change with Unknown Change Point," Econometrica, Econometric Society, vol. 61(4), pages 821-856, July.
    7. Lieven Baele & Annalisa Ferrando & Peter Hördahl & Elizaveta Krylova & Cyril Monnet, 2004. "Measuring financial integration in the euro area," Occasional Paper Series 14, European Central Bank.
    8. Carlo Cottarelli & Angeliki Kourelis, 1994. "Financial Structure, Bank Lending Rates, and the Transmission Mechanism of Monetary Policy," IMF Staff Papers, Palgrave Macmillan, vol. 41(4), pages 587-623, December.
    9. Jushan Bai, 1997. "Estimation Of A Change Point In Multiple Regression Models," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 551-563, November.
    10. Bruggeman, Annick & Donnay, Marie, 2003. "A monthly monetary model with banking intermediation for the euro area," Working Paper Series 264, European Central Bank.
    11. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 39(3), pages 106-135.
    12. Mojon, Benoît & Valla, Natacha & de Bondt, Gabe, 2005. "Term structure and the sluggishness of retail bank interest rates in euro area countries," Working Paper Series 518, European Central Bank.
    13. James G. MacKinnon, 1990. "Critical Values for Cointegration Tests," Working Papers 1227, Queen's University, Department of Economics.
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    More about this item


    Binomial tree; implied volatility; calibration.;

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading


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