IDEAS home Printed from https://ideas.repec.org/a/taf/quantf/v18y2018i1p63-81.html
   My bibliography  Save this article

Dividend derivatives

Author

Listed:
  • R. S. Tunaru

Abstract

Dividend derivatives are not simply a by-product of equity derivatives. They constitute a distinct growing market and an entire suite of dividend derivatives are offered to investors. In this paper, we look at two potential models for equity index dividends and discuss their theoretical and practical merits. The main results emerge from a downward jump-diffusion model with beta distributed jumps and a stochastic logistic diffusion model, both able to capture the particular dynamics observed for dividends and cum-dividends, respectively, in the market. Smile calibration results are discussed with market data on the Dow Jones Euro STOXX50 DVP®$ ^\circledR $ dividend index for futures and European call and put options.

Suggested Citation

  • R. S. Tunaru, 2018. "Dividend derivatives," Quantitative Finance, Taylor & Francis Journals, vol. 18(1), pages 63-81, January.
    • Handle: RePEc:taf:quantf:v:18:y:2018:i:1:p:63-81
    DOI: 10.1080/14697688.2017.1322218
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/14697688.2017.1322218
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/14697688.2017.1322218?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. S. G. Kou, 2002. "A Jump-Diffusion Model for Option Pricing," Management Science, INFORMS, vol. 48(8), pages 1086-1101, August.
    2. van Binsbergen, Jules & Hueskes, Wouter & Koijen, Ralph & Vrugt, Evert, 2013. "Equity yields," Journal of Financial Economics, Elsevier, vol. 110(3), pages 503-519.
      • Jules H. van Binsbergen & Wouter Hueskes & Ralph Koijen & Evert B. Vrugt, 2011. "Equity Yields," NBER Working Papers 17416, National Bureau of Economic Research, Inc.
    3. Jules van Binsbergen & Michael Brandt & Ralph Koijen, 2012. "On the Timing and Pricing of Dividends," American Economic Review, American Economic Association, vol. 102(4), pages 1596-1618, June.
    4. Brooks, Raymond M., 1994. "Dividend predicting using put-call parity," International Review of Economics & Finance, Elsevier, vol. 3(4), pages 373-392.
    5. Broadie, Mark & Detemple, Jerome & Ghysels, Eric & Torres, Olivier, 2000. "American options with stochastic dividends and volatility: A nonparametric investigation," Journal of Econometrics, Elsevier, vol. 94(1-2), pages 53-92.
    6. 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.
    7. Robert C. Merton, 1975. "An Asymptotic Theory of Growth Under Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 42(3), pages 375-393.
    8. Long Chen & Zhi Da & Richard Priestley, 2012. "Dividend Smoothing and Predictability," Management Science, INFORMS, vol. 58(10), pages 1834-1853, October.
    9. Bjork, Tomas, 2009. "Arbitrage Theory in Continuous Time," OUP Catalogue, Oxford University Press, edition 3, number 9780199574742, Decembrie.
    10. Metcalf, Gilbert E. & Hassett, Kevin A., 1995. "Investment under alternative return assumptions Comparing random walks and mean reversion," Journal of Economic Dynamics and Control, Elsevier, vol. 19(8), pages 1471-1488, November.
    11. Campbell R. Harvey & Robert E. Whaley, 1992. "Dividends and S&P 100 index option valuation," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 12(2), pages 123-137, April.
    12. Abraham Lioui, 2006. "Black‐Scholes‐Merton revisited under stochastic dividend yields," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 26(7), pages 703-732, July.
    13. Yang, Zhaojun & Ewald, Christian-Oliver, 2010. "On the non-equilibrium density of geometric mean reversion," Statistics & Probability Letters, Elsevier, vol. 80(7-8), pages 608-611, April.
    14. Abraham Lioui, 2005. "Stochastic dividend yields and derivatives pricing in complete markets," Review of Derivatives Research, Springer, vol. 8(3), pages 151-175, December.
    15. Yacine Aït-Sahalia & Andrew W. Lo, 1998. "Nonparametric Estimation of State-Price Densities Implicit in Financial Asset Prices," Journal of Finance, American Finance Association, vol. 53(2), pages 499-547, April.
    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. Ed-Dafali, Slimane & Patel, Ritesh & Iqbal, Najaf, 2023. "A bibliometric review of dividend policy literature," Research in International Business and Finance, Elsevier, vol. 65(C).
    2. Aşty Al-Jaaf, 2022. "Dividend predictability and higher moment risk premia," Journal of Asset Management, Palgrave Macmillan, vol. 23(2), pages 83-99, March.
    3. Damir Filipovi'c & Sander Willems, 2018. "A Term Structure Model for Dividends and Interest Rates," Papers 1803.02249, arXiv.org, revised May 2020.
    4. Damir Filipović & Sander Willems, 2020. "A term structure model for dividends and interest rates," Mathematical Finance, Wiley Blackwell, vol. 30(4), pages 1461-1496, October.
    5. Sander Willems, 2019. "Linear Stochastic Dividend Model," Papers 1908.05850, arXiv.org, revised Aug 2019.
    6. Quaye, Enoch & Tunaru, Radu, 2022. "The stock implied volatility and the implied dividend volatility," Journal of Economic Dynamics and Control, Elsevier, vol. 134(C).
    7. Tao Pang & Katherine Varga, 2019. "Portfolio Optimization for Assets with Stochastic Yields and Stochastic Volatility," Journal of Optimization Theory and Applications, Springer, vol. 182(2), pages 691-729, August.

    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. 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.
    2. le Bris, David & Goetzmann, William N. & Pouget, Sébastien, 2019. "The present value relation over six centuries: The case of the Bazacle company," Journal of Financial Economics, Elsevier, vol. 132(1), pages 248-265.
    3. van Binsbergen, Jules H. & Koijen, Ralph S.J., 2017. "The term structure of returns: Facts and theory," Journal of Financial Economics, Elsevier, vol. 124(1), pages 1-21.
    4. P. Lopez, 2014. "The Term Structure of the Welfare Cost of Uncertainty," Working papers 521, Banque de France.
    5. Zhi Da & Ravi Jagannathan & Jianfeng Shen, 2014. "Growth Expectations, Dividend Yields, and Future Stock Returns," NBER Working Papers 20651, National Bureau of Economic Research, Inc.
    6. Pierlauro Lopez, 2016. "Welfare Implications of the Term Structure of Returns: Should Central Banks Fill Gaps or Remove Volatility?," 2016 Meeting Papers 742, Society for Economic Dynamics.
    7. Pierlauro Lopez, 2021. "Welfare Implications of Asset Pricing Facts: Should Central Banks Fill Gaps or Remove Volatility?," Working Papers 21-16R, Federal Reserve Bank of Cleveland, revised 16 May 2023.
    8. Posch, Olaf, 2009. "Structural estimation of jump-diffusion processes in macroeconomics," Journal of Econometrics, Elsevier, vol. 153(2), pages 196-210, December.
    9. Bansal, Ravi & Miller, Shane & Song, Dongho & Yaron, Amir, 2021. "The term structure of equity risk premia," Journal of Financial Economics, Elsevier, vol. 142(3), pages 1209-1228.
    10. Ciprian Necula & Gabriel Drimus & Walter Farkas, 2019. "A general closed form option pricing formula," Review of Derivatives Research, Springer, vol. 22(1), pages 1-40, April.
    11. Hasler, Michael & Marfè, Roberto, 2016. "Disaster recovery and the term structure of dividend strips," Journal of Financial Economics, Elsevier, vol. 122(1), pages 116-134.
    12. Bardgett, Chris & Gourier, Elise & Leippold, Markus, 2019. "Inferring volatility dynamics and risk premia from the S&P 500 and VIX markets," Journal of Financial Economics, Elsevier, vol. 131(3), pages 593-618.
    13. Roberto Marfè, 2015. "Labor Rigidity and the Dynamics of the Value Premium," Carlo Alberto Notebooks 429, Collegio Carlo Alberto.
    14. Ilaria Piatti & Fabio Trojani, 2020. "Dividend Growth Predictability and the Price–Dividend Ratio," Management Science, INFORMS, vol. 66(1), pages 130-158, January.
    15. Koijen, Ralph S.J. & Moskowitz, Tobias J. & Pedersen, Lasse Heje & Vrugt, Evert B., 2018. "Carry," Journal of Financial Economics, Elsevier, vol. 127(2), pages 197-225.
      • Moskowitz, Tobias J & Pedersen, Lasse Heje & Koijen, Ralph & Vrugt, Evert B., 2013. "Carry," CEPR Discussion Papers 9771, C.E.P.R. Discussion Papers.
      • Ralph S.J. Koijen & Tobias J. Moskowitz & Lasse Heje Pedersen & Evert B. Vrugt, 2013. "Carry," NBER Working Papers 19325, National Bureau of Economic Research, Inc.
    16. Yu, Deshui & Huang, Difang & Chen, Li & Li, Luyang, 2023. "Forecasting dividend growth: The role of adjusted earnings yield," Economic Modelling, Elsevier, vol. 120(C).
    17. Roberto Marfè, 2016. "Labor Rigidity, In ation Risk and Bond Returns," Carlo Alberto Notebooks 461, Collegio Carlo Alberto.
    18. Suresh M. Sundaresan, 2000. "Continuous‐Time Methods in Finance: A Review and an Assessment," Journal of Finance, American Finance Association, vol. 55(4), pages 1569-1622, August.
    19. Islam, Raisul & Volkov, Vladimir, 2020. "Calm before the storm: an early warning approach before and during the COVID-19 crisis," Working Papers 2020-09, University of Tasmania, Tasmanian School of Business and Economics.
    20. Li, Chenxu & Ye, Yongxin, 2019. "Pricing and Exercising American Options: an Asymptotic Expansion Approach," Journal of Economic Dynamics and Control, Elsevier, vol. 107(C), pages 1-1.

    More about this item

    Statistics

    Access and download statistics

    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:taf:quantf:v:18:y:2018:i:1:p:63-81. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/RQUF20 .

    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.