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Volatility smiles when information is lagged in prices

Author

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  • Marcato, Gianluca
  • Sebehela, Tumellano
  • Campani, Carlos Heitor

Abstract

This study explores volatility smiles when stock market information is lagged, specifically in the REIT industry. A usual requirement is that REITs can only disseminate information relating to their property valuations once per year; therefore, this leads to the lagging effect. Within the context of exchange options (i.e. mergers), it seems that no study has researched on this theme. This article uses the Black & Scholes model to calculate implied volatilities and their corresponding implied options to illustrate arbitrage opportunities when exchange options emerge. The results illustrate that implied volatilities are different from non-implied volatilities. Further, arbitrage is still higher among REITs as opposed to other capital market instruments. Finally, just like other capital market instruments, REIT acquisitions generate alpha.

Suggested Citation

  • Marcato, Gianluca & Sebehela, Tumellano & Campani, Carlos Heitor, 2018. "Volatility smiles when information is lagged in prices," The North American Journal of Economics and Finance, Elsevier, vol. 46(C), pages 151-165.
  • Handle: RePEc:eee:ecofin:v:46:y:2018:i:c:p:151-165
    DOI: 10.1016/j.najef.2018.03.004
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    References listed on IDEAS

    as
    1. Bradford Case & Yawei Yang & Yildiray Yildirim, 2012. "Dynamic Correlations Among Asset Classes: REIT and Stock Returns," The Journal of Real Estate Finance and Economics, Springer, vol. 44(3), pages 298-318, April.
    2. Kinateder, Harald & Fabich, Matthias & Wagner, Niklas, 2017. "Domestic mergers and acquisitions in BRICS countries: Acquirers and targets," Emerging Markets Review, Elsevier, vol. 32(C), pages 190-199.
    3. Rama Cont & Thomas Kokholm, 2013. "A Consistent Pricing Model For Index Options And Volatility Derivatives," Post-Print hal-00801536, HAL.
    4. John Y. Campbell & Martin Lettau & Burton G. Malkiel & Yexiao Xu, 2001. "Have Individual Stocks Become More Volatile? An Empirical Exploration of Idiosyncratic Risk," Journal of Finance, American Finance Association, vol. 56(1), pages 1-43, February.
    5. Dirk Hackbarth & Erwan Morellec, 2008. "Stock Returns in Mergers and Acquisitions," Journal of Finance, American Finance Association, vol. 63(3), pages 1213-1252, June.
    6. Szu-Yin Hung & John Glascock, 2010. "Volatilities and Momentum Returns in Real Estate Investment Trusts," The Journal of Real Estate Finance and Economics, Springer, vol. 41(2), pages 126-149, August.
    7. Sudi Sudarsanam & Ghulam Sorwar, 2010. "Determinants of Takeover Premium in Cash Offers: An Option Pricing Approach," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 37(5‐6), pages 687-714, June.
    8. Dann, Larry Y. & Masulis, Ronald W. & Mayers, David, 1991. "Repurchase tender offers and earnings information," Journal of Accounting and Economics, Elsevier, vol. 14(3), pages 217-251, September.
    9. repec:bla:jfinan:v:59:y:2004:i:2:p:795-829 is not listed on IDEAS
    10. Reza Yaghoubi & Mona Yaghoubi & Stuart Locke & Jenny Gibb, 2016. "Mergers and acquisitions: a review. Part 1," Studies in Economics and Finance, Emerald Group Publishing Limited, vol. 33(1), pages 147-188, March.
    11. Sudi Sudarsanam & Ghulam Sorwar, 2010. "Determinants of Takeover Premium in Cash Offers: An Option Pricing Approach," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 37(5-6), pages 687-714.
    12. Trigeorgis, Lenos, 1993. "The Nature of Option Interactions and the Valuation of Investments with Multiple Real Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 28(1), pages 1-20, March.
    13. Reza Yaghoubi & Mona Yaghoubi & Stuart Locke & Jenny Gibb, 2016. "Mergers and acquisitions: a review (part 2)," Studies in Economics and Finance, Emerald Group Publishing Limited, vol. 33(3), pages 437-464, August.
    14. Kiplan Womack, 2012. "Real Estate Mergers: Corporate Control & Shareholder Wealth," The Journal of Real Estate Finance and Economics, Springer, vol. 44(4), pages 446-471, May.
    15. 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.
    16. repec:bla:jfinan:v:53:y:1998:i:6:p:2059-2106 is not listed on IDEAS
    17. David G. Hobson & L. C. G. Rogers, 1998. "Complete Models with Stochastic Volatility," Mathematical Finance, Wiley Blackwell, vol. 8(1), pages 27-48, January.
    18. Bhagat, Sanjai & Brickley, James A & Loewenstein, Uri, 1987. "The Pricing Effects of Interfirm Cash Tender Offers," Journal of Finance, American Finance Association, vol. 42(4), pages 965-986, September.
    19. Christian Bayer & Peter Friz & Jim Gatheral, 2016. "Pricing under rough volatility," Quantitative Finance, Taylor & Francis Journals, vol. 16(6), pages 887-904, June.
    20. Jones, Christopher S., 2003. "The dynamics of stochastic volatility: evidence from underlying and options markets," Journal of Econometrics, Elsevier, vol. 116(1-2), pages 181-224.
    21. Benefield, Justin D. & Anderson, Randy I. & Zumpano, Leonard V., 2009. "Performance differences in property-type diversified versus specialized real estate investment trusts (REITs)," Review of Financial Economics, Elsevier, vol. 18(2), pages 70-79, April.
    22. Gustavo Grullon & Evgeny Lyandres & Alexei Zhdanov, 2012. "Real Options, Volatility, and Stock Returns," Journal of Finance, American Finance Association, vol. 67(4), pages 1499-1537, August.
    23. Kathryn Barraclough & David T. Robinson & Tom Smith & Robert E. Whaley, 2013. "Using Option Prices to Infer Overpayments and Synergies in M&A Transactions," The Review of Financial Studies, Society for Financial Studies, vol. 26(3), pages 695-722.
    24. Yılmaz, Işıl Sevilay & Tanyeri, Başak, 2016. "Global Merger and Acquisition (M&A) activity: 1992–2011," Finance Research Letters, Elsevier, vol. 17(C), pages 110-117.
    25. Tailan Chi & Donald J McGuire, 1996. "Collaborative Ventures and Value of Learning: Integrating the Transaction Cost and Strategic Option Perspectives on the Choice of Market Entry Modes," Journal of International Business Studies, Palgrave Macmillan;Academy of International Business, vol. 27(2), pages 285-307, June.
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    Cited by:

    1. Lin, Chung-Gee & Chang, Chia-Chang, 2020. "Approximate analytic solution for Asian options with stochastic volatility," The North American Journal of Economics and Finance, Elsevier, vol. 54(C).
    2. Boris Ter-Avanesov & Gunter A. Meissner, 2024. "Pricing Multi-strike Quanto Call Options on Multiple Assets with Stochastic Volatility, Correlation, and Exchange Rates," Papers 2411.16617, arXiv.org.
    3. Katlego Kola & Tumellano Sebehela, 2021. "Market The (De)merits of using Integral Transforms in Predicting Structural Break Points," International Real Estate Review, Global Social Science Institute, vol. 24(3), pages 405-467.

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    More about this item

    Keywords

    Exchange option; Lagged; Volatility smile;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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