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Distribuzioni di probabilità implicite nei prezzi delle opzioni

Author

Listed:
  • Alessandro Beber
  • Luca Erzegovesi

    (DISA, Faculty of Economics, Trento University)

Abstract

Questo lavoro si propone di illustrare i presupposti teorici e le metodologie empiriche per l'estrazione della distribuzione di probabilità dell'attività finanziaria sottostante dai prezzi delle opzioni. In particolare si analizzano le anomalie nel pricing delle opzioni da parte del mercato rispetto ai modelli teorici, si descrivono le tecniche di estrazione della funzione di densità neutrale al rischio proposte dalla letteratura e si presentano alcune evidenze empiriche sui mercati azionario, dei cambi, dei tassi d'interesse, ottenute applicando alcune delle metodologie illustrate.

Suggested Citation

  • Alessandro Beber & Luca Erzegovesi, 1999. "Distribuzioni di probabilità implicite nei prezzi delle opzioni," Alea Tech Reports 008, Department of Computer and Management Sciences, University of Trento, Italy, revised 14 Jun 2008.
    • Handle: RePEc:trt:aleatr:008
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    References listed on IDEAS

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    1. David S. Bates, "undated". "Testing Option Pricing Models," Rodney L. White Center for Financial Research Working Papers 14-95, Wharton School Rodney L. White Center for Financial Research.
    2. Bates, David S, 1991. "The Crash of '87: Was It Expected? The Evidence from Options Markets," Journal of Finance, American Finance Association, vol. 46(3), pages 1009-1044, July.
    3. David Backus & Silverio Foresi & Liuren Wu, 2002. "Accouting for Biases in Black-Scholes," Finance 0207008, University Library of Munich, Germany.
    4. Ait-Sahalia, Yacine & Wang, Yubo & Yared, Francis, 2001. "Do option markets correctly price the probabilities of movement of the underlying asset?," Journal of Econometrics, Elsevier, vol. 102(1), pages 67-110, May.
    5. Campa, Jose M. & Chang, P. H. Kevin & Reider, Robert L., 1998. "Implied exchange rate distributions: evidence from OTC option markets1," Journal of International Money and Finance, Elsevier, vol. 17(1), pages 117-160, February.
    6. Peter A. Abken, 1995. "Using Eurodollar futures options: gauging the market's view of interest rate movements," Economic Review, Federal Reserve Bank of Atlanta, vol. 80(Mar), pages 10-30.
    7. David S. Bates, 1995. "Testing Option Pricing Models," NBER Working Papers 5129, National Bureau of Economic Research, Inc.
    8. Chiras, Donald P. & Manaster, Steven, 1978. "The information content of option prices and a test of market efficiency," Journal of Financial Economics, Elsevier, vol. 6(2-3), pages 213-234.
    9. Baxter,Martin & Rennie,Andrew, 1996. "Financial Calculus," Cambridge Books, Cambridge University Press, number 9780521552899.
    10. Breeden, Douglas T & Litzenberger, Robert H, 1978. "Prices of State-contingent Claims Implicit in Option Prices," The Journal of Business, University of Chicago Press, vol. 51(4), pages 621-651, October.
    11. Canina, Linda & Figlewski, Stephen, 1993. "The Informational Content of Implied Volatility," The Review of Financial Studies, Society for Financial Studies, vol. 6(3), pages 659-681.
    12. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    13. Campa, Jose Manuel & Chang, P H Kevin, 1995. "Testing the Expectations Hypothesis on the Term Structure of Volatilities in Foreign Exchange Options," Journal of Finance, American Finance Association, vol. 50(2), pages 529-547, June.
    14. Yacine Aït-Sahalia & Andrew W. Lo, 1998. "Nonparametric Estimation of State-Price Densities Implicit in Financial Asset Prices," Journal of Finance, American Finance Association, vol. 53(2), pages 499-547, April.
    15. Campa, Jose Manuel & Chang, P. H. Kevin, 1998. "The forecasting ability of correlations implied in foreign exchange options," Journal of International Money and Finance, Elsevier, vol. 17(6), pages 855-880, December.
    16. Black, Fischer, 1976. "The pricing of commodity contracts," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 167-179.
    17. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
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    Cited by:

    1. Enrico Zaninotto & Alessandro Rossi & Loris Gaio, 1999. "Stochastic Learning in Co-ordination Games: a Simulation Approach," ROCK Working Papers 001, Department of Computer and Management Sciences, University of Trento, Italy, revised 21 May 1999.
    2. Marco Filagrana, 2002. "Il model risk nella gestione dei rischi di mercato," Alea Tech Reports 015, Department of Computer and Management Sciences, University of Trento, Italy, revised 14 Jun 2008.
    3. Flavio Bazzana, 2001. "I modelli interni per la valutazione del rischio di mercato secondo l'approccio del Value at Risk," Alea Tech Reports 011, Department of Computer and Management Sciences, University of Trento, Italy, revised 14 Jun 2008.
    4. Flavio Bazzana & Francesca Debortoli, 2002. "Il rischio sistemico in finanza: una rassegna dei recenti contributi in letteratura," Alea Tech Reports 017, Department of Computer and Management Sciences, University of Trento, Italy, revised 14 Jun 2008.

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