Implied Adjusted Volatility by Leland Option Pricing Models: Evidence from Australian Index Options
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32799
Implied Adjusted Volatility by Leland Option Pricing Models: Evidence from Australian Index Options

Authors: Mimi Hafizah Abdullah, Hanani Farhah Harun, Nik Ruzni Nik Idris

Abstract:

With the implied volatility as an important factor in financial decision-making, in particular in option pricing valuation, and also the given fact that the pricing biases of Leland option pricing models and the implied volatility structure for the options are related, this study considers examining the implied adjusted volatility smile patterns and term structures in the S&P/ASX 200 index options using the different Leland option pricing models. The examination of the implied adjusted volatility smiles and term structures in the Australian index options market covers the global financial crisis in the mid-2007. The implied adjusted volatility was found to escalate approximately triple the rate prior the crisis.

Keywords: Implied adjusted volatility, Financial crisis, Leland option pricing models.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1094463

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2903

References:


[1] H. E. Leland, "Option pricing and replication with transactions costs,” The Journal of Finance, vol. 40, no. 5, pp. 1283-1301, 1985.
[2] H. E. Leland, "Comments on "Hedging errors with Leland's option model in the presence of transactions costs,” Finance Research Letters, vol. 4, no. 3, pp. 200-202, 2007.
[3] E. Hol and S. J. Koopman, Forecasting the variability of stock index returns with stochastic volatility models and implied volatility, Tinbergen Institute Discussion Papers No. 00-104/4, 2000.
[4] H. A. Latané and R. J. Jr. Rendleman, "Standard deviations of stock price ratios implied in option prices,” The Journal of Finance, vol. 31, no. 2, pp. 369-381, 1976.
[5] D. P. Chiras and S. Manaster, "The informational content of prices and a test of market efficiency,” Journal of Financial Economics, vol. 6, no. 2- 3, pp. 213-234, 1978.
[6] B. J. Christensen and N. R. Prabhala, "The relation between implied and realized volatility,” Journal of Financial Economics, vol. 50, no. 2, pp. 125-150, 1998.
[7] J. Fleming, "The quality of market volatility forecasts implied by S&P 100 index option prices,” Journal of Empirical Finance, vol. 5, no. 4, pp. 317-345, 1998.
[8] A. Szakmary, E. Ors, J. K. Kim and W. N. Davidson, "The predictive power of implied volatility: evidence from 35 futures markets,” Journal of Banking and Finance, vol. 27, no. 11, pp. 2151-2175, 2003.
[9] S. Li and Q.Yang, "The relationship between implied and realized volatility: evidence from the Australian stock index option market,” Review of Quantitative Finance and Accounting, vol. 32, no. 4,pp. 405- 419, 2009.
[10] S. Goncalves and M. Guidolin, "Predictable dynamics in the S&P 500 index options implied volatility surface,” The Journal of Business, vol. 79, no. 3, pp. 1591-1635, 2006.
[11] M. Wallmeier, Smile in Motion: An Intraday Analysis of Asymmetric Implied Volatility. Retrieved from SSRN 2022261: http://papers.ssrn.com/sol3/papers.cfm?abstract_id=2022261, 2012.
[12] M. Engström, "Do Swedes smile? On implied volatility functions,”Journal of Multinational Financial Management, vol. 12, no. 4-5, pp. 285-304, 2002.
[13] K. Shastri and K. Wethyavivorn, "The valuation of currency options for alternate stochastic processes,” Journal of Financial Research, vol. 10, no. 4, pp. 283-293, 1987.
[14] X. Xu and S. J. Taylor, "The term structure of volatility implied by foreign exchange options,” Journal of Financial and Quantitative Analysis, vol. 29, pp. 57-74, 1994.
[15] A. M. Sheikh, "Transaction data tests of S&P 100 call option pricing,”The Journal of Financial and Quantitative Analysis, vol. 26, no. 4, pp. 459-475, 1991.
[16] R. Heynen, "An empirical investigation of observed smile patterns,” Review of Futures Markets,vol. 13, pp. 317-353, 1993.
[17] C. J. Corrado and T. Su, "Implied volatility skews and stock return skewness and kurtosis implied by stock option prices,”The European Journal of Finance, vol. 3, no. 1, pp. 73-85, 1997.
[18] B. Dumas, J. Fleming and R. E. Whaley, "Implied volatility functions: empirical tests,” The Journal of Finance, vol. 53, no. 6, pp. 2059-2016, 1998.
[19] P. Dennis and S. Mayhew, "Risk-neutral skewness: evidence from stock options,” Journal of Financial and Quantitative Analysis, vol. 37. no. 3, pp. 471-493, 2002.
[20] J. L. Duque and P. T. Lopes, "Maturity and volatiliy effects on UK smiles or dying smiling,” Portuguese Economic Journal, vol. 2, no. 3, pp. 173-193, 2003.
[21] Q. Yang, An empirical study of implied volatility in Australian index option markets. Queensland University of Technology, Queensland, 2006, unpublished dissertation,
[22] C. A. Brown, "The volatility structure implied by options on the SPI futures contract,” Australian Journal of Management, vol. 24, no. 2, pp. 115-130, 1999.
[23] C. A. Brown and S. Pinder,"The Impact of net buying pressure on implied volatilities observed from SPI futures options,” Review of Futures Markets, vol. 14, no. 2, pp. 199-216, 2005
[24] G. Bakshi, N. Kapadia, and D. Madan, "Stock return characteristics, skew laws, and the differential pricing of individual equity options,” Review of Financial Studies, vol. 16, no. 1, pp. 101-143, 2003.
[25] I. Peña, G. Rubio and G. Serna, "Why do we smile? On the determinants of the implied volatility function,” Journal of Banking and Finance, vol. 23, n0. 8, pp. 1151-1179, 1999.
[26] G. Gemmill and N. Kamiyama, "International transmission of option volatility and skewness: when you're smiling does the whole world smile?”2000, City University Cass Business School Working paper.
[27] B. Dumas, J. Fleming and R. Whaley, Implied Volatility Functions: Empirical Tests. 1996, CEPR Discussion Paper, 1369.
[28] N. P. B. Bollen and R. E. Whaley, "Does net buying pressure affect the shape of implied volatility functions?”The Journal of Finance, vol. 59, no. 2, pp. 711-753, 2004.
[29] J. C. Jackwerth and M. Rubinstein, "Recovering probability distributions from option prices,” The Journal of Finance, vol. 51, no, 5, pp. 1611- 1631, 1996.
[30] S. Sehgal and N. Vijayakumar, "Determinants of implied volatility function on the nifty index options market: Evidence from India,” Asian Academy Of Management Journal Of Accounting And Finance, vol. 4, pp. 45-69, 2008.
[31] A. Ng, "Volatility Spillover Effects from Japan and the US to the Pacific-Basin,” Journal of International Money and Finance, vol. 19, pp. 207-233, 2000.
[32] R. Cont and J. D. Fonseca, "Dynamics of Implied Volatility Surfaces”, Quantitative Finance, 2, vol. 2, pp. 40-56, 2002.
[33] J. Zheng and D. Xie, "Stochastic modeling and estimation of market volatilities with applications in financial forecasting,” International Journal of Statistics and Probability, vol. 1, no. 1, pp. 7, 2012.
[34] T. Daglish, J. Hull and W. Suo, "Volatility surfaces: theory, rules of thumb, and empirical evidence,” Quantitative Finance, vol. 7, no. 5, pp. 507-524, 2007.
[35] Mimi Hafizah, A. Leland option pricing models and transaction costs: an empirical study. University of South Australia, South Australia, 2011, unpublished doctoral dissertation,
[36] A. Bernales and M. Guidolin, "Can We Forecast the Implied Volatility Surface Dynamics for CBOE Equity Options?” Predictability and Economic Value Tests (456), 2010.
[37] G. Chalamandaris and A. E. Tsekrekos, "How important is the term structure in implied volatility surface modeling? Evidence from foreign exchange option,”Journal of International Money and Finance, vol. 30, no. 4, pp. 623-640, 2011.
[38] F. Black and M. Scholes, "The valuation of option contracts and a test of market efficiency”, TheJournal of Finance, vol. 27, no. 2, pp. 399-417, 1972.
[39] R. C. Merton, "Theory of rational option pricing,” The Bell Journal of Economics and Management Science, vol. 4, no. 1, pp. 141-183, 1973.
[40] S. Li and Mimi Hafizah, Abdullah. (2012). Implied transaction costs by Leland option pricing model: A new approach and empirical evidence. Journal of Derivatives & Hedge Funds, vol. 18, no. 4, pp. 333-360, 2012.
[41] G. Bakshi, C. Cao and Z. Chen, "Empirical performance of alternative option pricing models”, The Journal of Finance, vol. 52, no. 5, pp. 2003- 2049. 1997.
[42] T. Sharp, S. Li and D. Allen, "Empirical performance of affine option pricing models: evidence from the Australian index options market,” Applied Financial Economics, vol. 20, no. 6, pp. 501-514, 2010.