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The Supply and Demand of S&P 500 Put Options

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  • Constantinides, George M.
  • Lian, Lei

Abstract

We model the supply of at-the-money (ATM) and out-of-the-money (OTM) S&P 500 index put options by risk-averse market makers (MMs) and their demand by risk-averse customers who hold the index and a risk free asset and buy puts as downside-risk protection. In equilibrium MMs are net sellers and customers are net buyers of index puts. Consistent with the data, the model-implied net buy of puts by customers is decreasing in the risk and put prices because the shift to the left of the supply curve dominates the shift to the right of the demand curve. The observed time series of the net buy of ATM and OTM puts are consistent with their model-implied counterparts.

Suggested Citation

  • Constantinides, George M. & Lian, Lei, 2021. "The Supply and Demand of S&P 500 Put Options," Critical Finance Review, now publishers, vol. 10(1), pages 1-20, April.
  • Handle: RePEc:now:jnlcfr:104.00000064
    DOI: 10.1561/104.00000064
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    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. Pan, Jun, 2002. "The jump-risk premia implicit in options: evidence from an integrated time-series study," Journal of Financial Economics, Elsevier, vol. 63(1), pages 3-50, January.
    3. Stefan Thurner & J. Doyne Farmer & John Geanakoplos, 2012. "Leverage causes fat tails and clustered volatility," Quantitative Finance, Taylor & Francis Journals, vol. 12(5), pages 695-707, February.
    4. 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.
    5. Gromb, Denis & Vayanos, Dimitri, 2002. "Equilibrium and welfare in markets with financially constrained arbitrageurs," Journal of Financial Economics, Elsevier, vol. 66(2-3), pages 361-407.
    6. George M. Constantinides & Jens Carsten Jackwerth & Alexi Savov, 2013. "The Puzzle of Index Option Returns," The Review of Asset Pricing Studies, Society for Financial Studies, vol. 3(2), pages 229-257.
    7. Zhiguo He & Arvind Krishnamurthy, 2013. "Intermediary Asset Pricing," American Economic Review, American Economic Association, vol. 103(2), pages 732-770, April.
    8. 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..
    9. Andersen, Torben G. & Fusari, Nicola & Todorov, Viktor, 2015. "The risk premia embedded in index options," Journal of Financial Economics, Elsevier, vol. 117(3), pages 558-584.
    10. Grace Xing Hu & Jun Pan & Jiang Wang, 2013. "Noise as Information for Illiquidity," Journal of Finance, American Finance Association, vol. 68(6), pages 2341-2382, December.
    11. Markus K. Brunnermeier & Lasse Heje Pedersen, 2009. "Market Liquidity and Funding Liquidity," The Review of Financial Studies, Society for Financial Studies, vol. 22(6), pages 2201-2238, June.
    12. Chernov, Mikhail & Ronald Gallant, A. & Ghysels, Eric & Tauchen, George, 2003. "Alternative models for stock price dynamics," Journal of Econometrics, Elsevier, vol. 116(1-2), pages 225-257.
    13. Tobias Adrian & Hyun Song Shin, 2014. "Procyclical Leverage and Value-at-Risk," The Review of Financial Studies, Society for Financial Studies, vol. 27(2), pages 373-403.
    14. repec:bla:jfinan:v:59:y:2004:i:2:p:711-753 is not listed on IDEAS
    15. Nicolae Garleanu & Lasse Heje Pedersen & Allen M. Poteshman, 2009. "Demand-Based Option Pricing," The Review of Financial Studies, Society for Financial Studies, vol. 22(10), pages 4259-4299, October.
    16. repec:bla:jfinan:v:59:y:2004:i:3:p:1367-1404 is not listed on IDEAS
    17. Gurdip Bakshi & Nikunj Kapadia & Dilip Madan, 2003. "Stock Return Characteristics, Skew Laws, and the Differential Pricing of Individual Equity Options," The Review of Financial Studies, Society for Financial Studies, vol. 16(1), pages 101-143.
    18. Mark Broadie & Mikhail Chernov & Michael Johannes, 2007. "Model Specification and Risk Premia: Evidence from Futures Options," Journal of Finance, American Finance Association, vol. 62(3), pages 1453-1490, June.
    19. Christopher S. Jones, 2006. "A Nonlinear Factor Analysis of S&P 500 Index Option Returns," Journal of Finance, American Finance Association, vol. 61(5), pages 2325-2363, October.
    20. Andrew Carverhill & Terry Cheuk & Sigurd Dyrting, 2009. "The smirk in the S&P500 futures options prices: a linearized factor analysis," Review of Derivatives Research, Springer, vol. 12(2), pages 109-139, July.
    21. Torben G. Andersen & Luca Benzoni & Jesper Lund, 2002. "An Empirical Investigation of Continuous‐Time Equity Return Models," Journal of Finance, American Finance Association, vol. 57(3), pages 1239-1284, June.
    22. Darrell Duffie & Jun Pan & Kenneth Singleton, 2000. "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," Econometrica, Econometric Society, vol. 68(6), pages 1343-1376, November.
    23. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," The Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    24. Buraschi, Andrea & Jackwerth, Jens, 2001. "The Price of a Smile: Hedging and Spanning in Option Markets," The Review of Financial Studies, Society for Financial Studies, vol. 14(2), pages 495-527.
    25. David S. Bates, 2006. "Maximum Likelihood Estimation of Latent Affine Processes," The Review of Financial Studies, Society for Financial Studies, vol. 19(3), pages 909-965.
    26. Danielsson, Jon & Shin, Hyun Song & Zigrand, Jean-Pierre, 2004. "The impact of risk regulation on price dynamics," Journal of Banking & Finance, Elsevier, vol. 28(5), pages 1069-1087, May.
    27. George M. Constantinides & Michal Czerwonko & Jens Carsten Jackwerth & Stylianos Perrakis, 2011. "Are Options on Index Futures Profitable for Risk‐Averse Investors? Empirical Evidence," Journal of Finance, American Finance Association, vol. 66(4), pages 1407-1437, August.
    28. Shleifer, Andrei & Vishny, Robert W, 1997. "The Limits of Arbitrage," Journal of Finance, American Finance Association, vol. 52(1), pages 35-55, March.
    29. Bates, David S., 2003. "Empirical option pricing: a retrospection," Journal of Econometrics, Elsevier, vol. 116(1-2), pages 387-404.
    30. 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.
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    Cited by:

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    2. Peter H. Gruber & Claudio Tebaldi & Fabio Trojani, 2021. "The Price of the Smile and Variance Risk Premia," Management Science, INFORMS, vol. 67(7), pages 4056-4074, July.
    3. Du Du & Dan Luo, 2019. "The Pricing of Jump Propagation: Evidence from Spot and Options Markets," Management Science, INFORMS, vol. 67(5), pages 2360-2387, May.
    4. Biao Guo & Hai Lin, 2020. "Volatility and jump risk in option returns," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 40(11), pages 1767-1792, November.
    5. Todd M. Hazelkorn & Tobias J. Moskowitz & Kaushik Vasudevan, 2020. "Beyond Basis Basics: Liquidity Demand and Deviations from the Law of One Price," NBER Working Papers 26773, National Bureau of Economic Research, Inc.

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    More about this item

    Keywords

    S&P 500 options; Net buy; Option supply and demand; Market makers;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G23 - Financial Economics - - Financial Institutions and Services - - - Non-bank Financial Institutions; Financial Instruments; Institutional Investors

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