Modelling the MIB30 implied volatility surface. Does market efficiency matter?
We analyze the volatility surface vs. moneyness and time to expiration implied by MIBO options written on the MIB30, the most important Italian stock index. We specify and fit a number of models of the implied volatility surface and find that it has a rich and interesting structure that strongly departs from a constant volatility, Black-Scholes benchmark. This result is robust to alternative econometric approaches, including generalized least squares approaches that take into account both the panel structure of the data and the likely presence of heteroskedasticity and serial correlation in the random disturbances. Finally we show that the degree of pricing efficiency of this options market can strongly condition the results of the econometric analysis and therefore our understanding of the pricing mechanism underlying observed MIBO option prices. Applications to value-at-risk and portfolio choice calculations illustrate the importance of using arbitrage-free data only.
|Date of creation:||2005|
|Date of revision:|
|Publication status:||Published in International Review of Financial Analysis, 2006, 15(2), pp. 145-78|
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- Kamara, Avraham & Miller, Thomas W., 1995. "Daily and Intradaily Tests of European Put-Call Parity," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 30(04), pages 519-539, December.
- Gianluca Cassese & Massimo Guidolin, 2004. "Pricing and Informational Efficiency of the MIB30 Index Options Market. An Analysis with High-frequency Data," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 33(2), pages 275-321, 07.
- Ackert, Lucy F. & Tian, Yisong S., 2001.
"Efficiency in index options markets and trading in stock baskets,"
Journal of Banking & Finance,
Elsevier, vol. 25(9), pages 1607-1634, September.
- Lucy F. Ackert & Yisong S. Tian, 1999. "Efficiency in index options markets and trading in stock baskets," FRB Atlanta Working Paper 99-5, Federal Reserve Bank of Atlanta.
- 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 637-54, May-June.
- Christensen, B. J. & Prabhala, N. R., 1998. "The relation between implied and realized volatility," Journal of Financial Economics, Elsevier, vol. 50(2), pages 125-150, November.
- Wayne E. Ferson, 2001. "The Efficient Use of Conditioning Information in Portfolios," Journal of Finance, American Finance Association, vol. 56(3), pages 967-982, 06.
- Mark Rubinstein., 1994. "Implied Binomial Trees," Research Program in Finance Working Papers RPF-232, University of California at Berkeley.
- Newey, Whitney & West, Kenneth, 2014.
"A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix,"
Publishing House "SINERGIA PRESS", vol. 33(1), pages 125-132.
- Newey, Whitney K & West, Kenneth D, 1987. "A Simple, Positive Semi-definite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix," Econometrica, Econometric Society, vol. 55(3), pages 703-08, May.
- Whitney K. Newey & Kenneth D. West, 1986. "A Simple, Positive Semi-Definite, Heteroskedasticity and AutocorrelationConsistent Covariance Matrix," NBER Technical Working Papers 0055, National Bureau of Economic Research, Inc.
- Gourieroux Christian & Monfort Alain & Trognon A, 1981.
"Pseudo maximum likelihood methods : theory,"
CEPREMAP Working Papers (Couverture Orange)
- Campbell, John & Viceira, Luis, 1999.
"Consumption and Portfolio Decisions When Expected Returns are Time Varying,"
3163266, Harvard University Department of Economics.
- John Y. Campbell & Luis M. Viceira, 1999. "Consumption and Portfolio Decisions when Expected Returns are Time Varying," The Quarterly Journal of Economics, Oxford University Press, vol. 114(2), pages 433-495.
- John Y. Campbell & Luis M. Viceira, 1998. "Consumption and Portfolio Decisions When Expected Returns Are Time Varying," Harvard Institute of Economic Research Working Papers 1835, Harvard - Institute of Economic Research.
- John Y. Campbell & Luis M. Viceira, 1996. "Consumption and Portfolio Decisions When Expected Returns are Time Varying," NBER Working Papers 5857, National Bureau of Economic Research, Inc.
- MacKinnon, James G, 1992. "Model Specification Tests and Artificial Regressions," Journal of Economic Literature, American Economic Association, vol. 30(1), pages 102-46, March.
- George, Thomas J. & Longstaff, Francis A., 1993. "Bid-Ask Spreads and Trading Activity in the S&P 100 Index Options Market," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 28(03), pages 381-397, September.
- Ncube, Mthuli, 1996. "Modelling implied volatility with OLS and panel data models," Journal of Banking & Finance, Elsevier, vol. 20(1), pages 71-84, January.
- Nisbet, Mary, 1992. "Put-call parity theory and an empirical test of the efficiency of the London Traded Options Market," Journal of Banking & Finance, Elsevier, vol. 16(2), pages 381-403, April.
- Lynch, Anthony W., 2001. "Portfolio choice and equity characteristics: characterizing the hedging demands induced by return predictability," Journal of Financial Economics, Elsevier, vol. 62(1), pages 67-130, October.
- Barone, E. & Cuoco, D., 1989. "The Italian market for `premium' contracts: An application of option pricing theory," Journal of Banking & Finance, Elsevier, vol. 13(4-5), pages 709-745, September.
- Pena, Ignacio & Rubio, Gonzalo & Serna, Gregorio, 1999. "Why do we smile? On the determinants of the implied volatility function," Journal of Banking & Finance, Elsevier, vol. 23(8), pages 1151-1179, August.
- Rubinstein, Mark, 1994. " Implied Binomial Trees," Journal of Finance, American Finance Association, vol. 49(3), pages 771-818, July.
- Nicholas Barberis, 2000. "Investing for the Long Run when Returns Are Predictable," Journal of Finance, American Finance Association, vol. 55(1), pages 225-264, 02.
- Davidson, Russell & MacKinnon, James G., 1993. "Estimation and Inference in Econometrics," OUP Catalogue, Oxford University Press, number 9780195060119, June.
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