IDEAS home Printed from https://ideas.repec.org/a/sae/ausman/v24y1999i2p115-130.html
   My bibliography  Save this article

The Volatility Structure Implied by Options on the SPI Futures Contract

Author

Listed:
  • Christine A. Brown

    (Department of Accounting and Finance, University of Melbourne, Parkville, Victoria 3052. Email: c.brown@ecomfac.unimelb.edu.au)

Abstract

The Asay (1982) option pricing model prices options on futures contracts where the premia are margined. The model assumes that the volatility of the underlying futures contract is constant over the life of the option. However it is an empirical observation in many markets that options on the same underlying futures contract with the same maturity, but at different strikes, trade at different implied volatilities. Since the 1987 crash, it has been documented that in many markets the volatility implied by out†of†the†money put options is higher than that implied by out†of†the†money call options. This phenomenon has become known as the ‘volatility skew’. This paper examines the volatility structure for options on the SPI futures contract over the period June 1993 to June 1994, and provides theoretical explanations consistent with its shape.

Suggested Citation

  • Christine A. Brown, 1999. "The Volatility Structure Implied by Options on the SPI Futures Contract," Australian Journal of Management, Australian School of Business, vol. 24(2), pages 115-130, December.
    • Handle: RePEc:sae:ausman:v:24:y:1999:i:2:p:115-130
    DOI: 10.1177/031289629902400202
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/031289629902400202
    Download Restriction: no
    File URL: https://libkey.io/10.1177/031289629902400202?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    2. Emanuel, David C. & MacBeth, James D., 1982. "Further Results on the Constant Elasticity of Variance Call Option Pricing Model," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 17(4), pages 533-554, November.
    3. Rubinstein, Mark, 1985. "Nonparametric Tests of Alternative Option Pricing Models Using All Reported Trades and Quotes on the 30 Most Active CBOE Option Classes from August 23, 1976 through August 31, 1978," Journal of Finance, American Finance Association, vol. 40(2), pages 455-480, June.
    4. Brown, C. A. & Taylor, S. D., 1997. "A test of the Asay model for pricing options on the SPI futures contract," Pacific-Basin Finance Journal, Elsevier, vol. 5(5), pages 579-594, December.
    5. Xu, Xinzhong & Taylor, Stephen J., 1994. "The Term Structure of Volatility Implied by Foreign Exchange Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 29(1), pages 57-74, March.
    6. Sheikh, Aamir M., 1991. "Transaction Data Tests of S&P 100 Call Option Pricing," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 26(4), pages 459-475, December.
    7. Bernard Dumas & Jeff Fleming & Robert E. Whaley, 1998. "Implied Volatility Functions: Empirical Tests," Journal of Finance, American Finance Association, vol. 53(6), pages 2059-2106, December.
    8. MacBeth, James D & Merville, Larry J, 1979. "An Empirical Examination of the Black-Scholes Call Option Pricing Model," Journal of Finance, American Finance Association, vol. 34(5), pages 1173-1186, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Steven Li & Elia Alfay, 2006. "Evidence on the arbitrage efficiency of SPI index futures and options markets," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 13(1), pages 71-93, March.
    2. Timothy Sharp & Steven Li & David Allen, 2010. "Empirical performance of affine option pricing models: evidence from the Australian index options market," Applied Financial Economics, Taylor & Francis Journals, vol. 20(6), pages 501-514.
    3. Robert E.J. Hibbard & Rob Brown & Keith R. McLaren, 2002. "Nonsimultaneity and Futures Option Pricing: Simulation and Empirical Evidence," Monash Econometrics and Business Statistics Working Papers 13/02, Monash University, Department of Econometrics and Business Statistics.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. David S. Bates, 1995. "Testing Option Pricing Models," NBER Working Papers 5129, National Bureau of Economic Research, Inc.
    2. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    3. Charles J. Corrado & Tie Su, 1996. "Skewness And Kurtosis In S&P 500 Index Returns Implied By Option Prices," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 19(2), pages 175-192, June.
    4. Jin Zhang & Yi Xiang, 2008. "The implied volatility smirk," Quantitative Finance, Taylor & Francis Journals, vol. 8(3), pages 263-284.
    5. Georgios Chalamandaris & Andrianos Tsekrekos, 2013. "Explanatory Factors and Causality in the Dynamics of Volatility Surfaces Implied from OTC Asian–Pacific Currency Options," Computational Economics, Springer;Society for Computational Economics, vol. 41(3), pages 327-358, March.
    6. Chuang Yuang Lin & Dar Hsin Chen & Chin Yu Tsai, 2011. "The limitation of monotonicity property of option prices: an empirical evidence," Applied Economics, Taylor & Francis Journals, vol. 43(23), pages 3103-3113.
    7. Narain & Narander Kumar Nigam & Piyush Pandey, 2016. "Behaviour and determinants of implied volatility in Indian market," Journal of Advances in Management Research, Emerald Group Publishing Limited, vol. 13(3), pages 271-291, November.
    8. Poon, Winnie P. H. & Duett, Edwin H., 1998. "An empirical examination of currency futures options under stochastic interest rates," Global Finance Journal, Elsevier, vol. 9(1), pages 29-50.
    9. Ramazan Gencay & Aslihan Salih, 2003. "Degree of Mispricing with the Black-Scholes Model and Nonparametric Cures," Annals of Economics and Finance, Society for AEF, vol. 4(1), pages 73-101, May.
    10. Chen, Song Xi & Xu, Zheng, 2014. "On implied volatility for options—Some reasons to smile and more to correct," Journal of Econometrics, Elsevier, vol. 179(1), pages 1-15.
    11. Jurczenko, Emmanuel & Maillet, Bertrand & Negrea, Bogdan, 2002. "Revisited multi-moment approximate option pricing models: a general comparison (Part 1)," LSE Research Online Documents on Economics 24950, London School of Economics and Political Science, LSE Library.
    12. Ghysels, E. & Harvey, A. & Renault, E., 1995. "Stochastic Volatility," Papers 95.400, Toulouse - GREMAQ.
    13. Zhu, Ke & Ling, Shiqing, 2015. "Model-based pricing for financial derivatives," Journal of Econometrics, Elsevier, vol. 187(2), pages 447-457.
    14. Hosam Ki & Byungwook Choi & Kook‐Hyun Chang & Miyoung Lee, 2005. "Option pricing under extended normal distribution," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 25(9), pages 845-871, September.
    15. Chalamandaris, Georgios & Tsekrekos, Andrianos E., 2010. "Predictable dynamics in implied volatility surfaces from OTC currency options," Journal of Banking & Finance, Elsevier, vol. 34(6), pages 1175-1188, June.
    16. Hsuan-Chu Lin & Ren-Raw Chen & Oded Palmon, 2016. "Explaining the volatility smile: non-parametric versus parametric option models," Review of Quantitative Finance and Accounting, Springer, vol. 46(4), pages 907-935, May.
    17. Chalamandaris, Georgios & Tsekrekos, Andrianos E., 2009. "Common Factors and Causality in the Dynamics of Implied Volatility Surfaces: Evidence from the FX OTC Market," The Journal of Economic Asymmetries, Elsevier, vol. 6(1), pages 49-74.
    18. Franke, Günter & Stapleton, Richard C. & Subrahmanyam, Marti G., 1995. "Who buys and who sells options: The role and pricing of options in an economy with background risk," Discussion Papers, Series II 253, University of Konstanz, Collaborative Research Centre (SFB) 178 "Internationalization of the Economy".
    19. Veld, C.H., 1991. "Warrant pricing : A review of theoretical and empirical research," Other publications TiSEM ac252bad-d1c0-45d6-832a-f, Tilburg University, School of Economics and Management.
    20. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sae:ausman:v:24:y:1999:i:2:p:115-130. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: SAGE Publications (email available below). General contact details of provider: http://www.agsm.edu.au .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.