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The stock implied volatility and the implied dividend volatility

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  • Quaye, Enoch
  • Tunaru, Radu

Abstract

This study compares the information on the implied volatility surface of a stock-index with the corresponding information on the implied volatility surface of the index dividend futures. We outline an optimisation technique for comparing implied volatility estimates based on the Black-Scholes model, Black model and a model-free approach, for stock-index versus dividend-index futures. The implied volatility term-structure of stock-index consistently exceeds that of the dividend index futures thereby confirming the equity volatility puzzle under novel financial data and instruments. However, the magnitude of excess implied volatility reduces as the time-to-maturity increases, suggesting that discrepancies between the two are influenced by investment horizon, and the type of option, call or put. We also show the existence of a profitable trading rule that outperforms a benchmark buy-and-hold strategy. The GDP, dollar euro exchange rate and inflation are strong determinants of the implied volatility difference.

Suggested Citation

  • Quaye, Enoch & Tunaru, Radu, 2022. "The stock implied volatility and the implied dividend volatility," Journal of Economic Dynamics and Control, Elsevier, vol. 134(C).
  • Handle: RePEc:eee:dyncon:v:134:y:2022:i:c:s0165188921002116
    DOI: 10.1016/j.jedc.2021.104276
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    as
    1. Mark Britten‐Jones & Anthony Neuberger, 2000. "Option Prices, Implied Price Processes, and Stochastic Volatility," Journal of Finance, American Finance Association, vol. 55(2), pages 839-866, April.
    2. Oliver Linton & Esfandiar Maasoumi & Yoon-Jae Whang, 2005. "Consistent Testing for Stochastic Dominance under General Sampling Schemes," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(3), pages 735-765.
    3. Robert F. Engle & Jose Gonzalo Rangel, 2008. "The Spline-GARCH Model for Low-Frequency Volatility and Its Global Macroeconomic Causes," Review of Financial Studies, Society for Financial Studies, vol. 21(3), pages 1187-1222, May.
    4. West, Kenneth D, 1988. "Dividend Innovations and Stock Price Volatility," Econometrica, Econometric Society, vol. 56(1), pages 37-61, January.
    5. R. S. Tunaru, 2018. "Dividend derivatives," Quantitative Finance, Taylor & Francis Journals, vol. 18(1), pages 63-81, January.
    6. Ledoit, Oliver & Wolf, Michael, 2008. "Robust performance hypothesis testing with the Sharpe ratio," Journal of Empirical Finance, Elsevier, vol. 15(5), pages 850-859, December.
    7. Lee, Dong Jin & Kim, Tae-Hwan & Mizen, Paul, 2021. "Impulse response analysis in conditional quantile models with an application to monetary policy," Journal of Economic Dynamics and Control, Elsevier, vol. 127(C).
    8. Bakshi, Gurdip & Cao, Charles & Chen, Zhiwu, 1997. "Empirical Performance of Alternative Option Pricing Models," Journal of Finance, American Finance Association, vol. 52(5), pages 2003-2049, December.
    9. Guidolin, Massimo & Timmermann, Allan, 2003. "Option prices under Bayesian learning: implied volatility dynamics and predictive densities," Journal of Economic Dynamics and Control, Elsevier, vol. 27(5), pages 717-769, March.
    10. Laurent Barras & Olivier Scaillet & Russ Wermers, 2010. "False Discoveries in Mutual Fund Performance: Measuring Luck in Estimated Alphas," Journal of Finance, American Finance Association, vol. 65(1), pages 179-216, February.
    11. DeMiguel, Victor & Plyakha, Yuliya & Uppal, Raman & Vilkov, Grigory, 2013. "Improving Portfolio Selection Using Option-Implied Volatility and Skewness," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 48(6), pages 1813-1845, December.
    12. Bulkley, George & Tonks, Ian, 1989. "Are U.K. Stock Prices Excessively Volatile? Trading Rules and Variance Bounds Tests," Economic Journal, Royal Economic Society, vol. 99(398), pages 1083-1098, December.
    13. Ardia, David & Boudt, Kris, 2018. "The peer performance ratios of hedge funds," Journal of Banking & Finance, Elsevier, vol. 87(C), pages 351-368.
    14. Tobias Adrian & Joshua Rosenberg, 2008. "Stock Returns and Volatility: Pricing the Short‐Run and Long‐Run Components of Market Risk," Journal of Finance, American Finance Association, vol. 63(6), pages 2997-3030, December.
    15. Bernales, Alejandro & Guidolin, Massimo, 2014. "Can we forecast the implied volatility surface dynamics of equity options? Predictability and economic value tests," Journal of Banking & Finance, Elsevier, vol. 46(C), pages 326-342.
    16. Bulkley, George & Tonks, Ian, 1992. "Trading Rules and Excess Volatility," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 27(3), pages 365-382, September.
    17. Guidolin, Massimo & Timmermann, Allan, 2007. "Properties of equilibrium asset prices under alternative learning schemes," Journal of Economic Dynamics and Control, Elsevier, vol. 31(1), pages 161-217, January.
    18. Shiller, Robert J, 1981. "Do Stock Prices Move Too Much to be Justified by Subsequent Changes in Dividends?," American Economic Review, American Economic Association, vol. 71(3), pages 421-436, June.
    19. Benjamin Golez, 2014. "Expected Returns and Dividend Growth Rates Implied by Derivative Markets," Review of Financial Studies, Society for Financial Studies, vol. 27(3), pages 790-822.
    20. Robert F. Engle & Eric Ghysels & Bumjean Sohn, 2013. "Stock Market Volatility and Macroeconomic Fundamentals," The Review of Economics and Statistics, MIT Press, vol. 95(3), pages 776-797, July.
    21. Victor DeMiguel & Francisco J. Nogales, 2009. "Portfolio Selection with Robust Estimation," Operations Research, INFORMS, vol. 57(3), pages 560-577, June.
    22. Sílvia Gonçalves & Massimo Guidolin, 2006. "Predictable Dynamics in the S&P 500 Index Options Implied Volatility Surface," The Journal of Business, University of Chicago Press, vol. 79(3), pages 1591-1636, May.
    23. Fama, Eugene F. & French, Kenneth R., 1988. "Dividend yields and expected stock returns," Journal of Financial Economics, Elsevier, vol. 22(1), pages 3-25, October.
    24. Kragt, Jac & de Jong, Frank & Driessen, Joost, 2020. "The Dividend Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 55(3), pages 829-867, May.
    25. Corradi, Valentina & Distaso, Walter & Mele, Antonio, 2013. "Macroeconomic determinants of stock volatility and volatility premiums," Journal of Monetary Economics, Elsevier, vol. 60(2), pages 203-220.
    26. Ravi Jagannathan & Binying Liu, 2019. "Dividend Dynamics, Learning, and Expected Stock Index Returns," Journal of Finance, American Finance Association, vol. 74(1), pages 401-448, February.
    27. Baur, Dirk G., 2013. "The structure and degree of dependence: A quantile regression approach," Journal of Banking & Finance, Elsevier, vol. 37(3), pages 786-798.
    28. Bernales, Alejandro & Chen, Louisa & Valenzuela, Marcela, 2017. "Learning and forecasts about option returns through the volatility risk premium," Journal of Economic Dynamics and Control, Elsevier, vol. 82(C), pages 312-330.
    29. Fabozzi, Frank J. & Leccadito, Arturo & Tunaru, Radu S., 2014. "Extracting market information from equity options with exponential Lévy processes," Journal of Economic Dynamics and Control, Elsevier, vol. 38(C), pages 125-141.
    30. Gurdip Bakshi & Nikunj Kapadia & Dilip Madan, 2003. "Stock Return Characteristics, Skew Laws, and the Differential Pricing of Individual Equity Options," Review of Financial Studies, Society for Financial Studies, vol. 16(1), pages 101-143.
    31. Roger Koenker & Kevin F. Hallock, 2001. "Quantile Regression," Journal of Economic Perspectives, American Economic Association, vol. 15(4), pages 143-156, Fall.
    32. Yan Li & Liyan Yang, 2013. "Asset-Pricing Implications of Dividend Volatility," Management Science, INFORMS, vol. 59(9), pages 2036-2055, September.
    33. P. Balland, 2002. "Deterministic implied volatility models," Quantitative Finance, Taylor & Francis Journals, vol. 2(1), pages 31-44.
    34. Ravi Jagannathan & Binying Liu & Jiaqi Zhang, 2019. "Corrigendum for Dividend Dynamics, Learning, and Expected Stock Index Returns," Journal of Finance, American Finance Association, vol. 74(4), pages 2107-2116, August.
    35. Jobson, J D & Korkie, Bob M, 1981. "Performance Hypothesis Testing with the Sharpe and Treynor Measures," Journal of Finance, American Finance Association, vol. 36(4), pages 889-908, September.
    36. Bilson, John F.O. & Kang, Sang Baum & Luo, Hong, 2015. "The term structure of implied dividend yields and expected returns," Economics Letters, Elsevier, vol. 128(C), pages 9-13.
    37. LeRoy, Stephen F & Porter, Richard D, 1981. "The Present-Value Relation: Tests Based on Implied Variance Bounds," Econometrica, Econometric Society, vol. 49(3), pages 555-574, May.
    38. Brock, William & Lakonishok, Josef & LeBaron, Blake, 1992. "Simple Technical Trading Rules and the Stochastic Properties of Stock Returns," Journal of Finance, American Finance Association, vol. 47(5), pages 1731-1764, December.
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    More about this item

    Keywords

    Dividend puzzle; Implied volatility models; Implied volatility differences; Index dividend futures option trading; Trading strategies;
    All these keywords.

    JEL classification:

    • C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: General
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation

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