IDEAS home Printed from https://ideas.repec.org/a/eee/jfinec/v131y2019i1p186-205.html
   My bibliography  Save this article

The leverage effect and the basket-index put spread

Author

Listed:
  • Bai, Jennie
  • Goldstein, Robert S.
  • Yang, Fan

Abstract

Benchmark models that exogenously specify equity dynamics cannot explain the large spread in prices between put options written on individual banks and options written on the bank index during the financial crisis. However, theory requires that asset dynamics be specified exogenously and that endogenously determined equity dynamics exhibit a “leverage effect” that increases put prices by fattening the left tail of the distribution. The leverage effect is larger for puts on individual stocks than for puts on the index, thus increasing the basket-index spread. Time-series and cross-sectional variation in the leverage effect explains option prices well.

Suggested Citation

  • Bai, Jennie & Goldstein, Robert S. & Yang, Fan, 2019. "The leverage effect and the basket-index put spread," Journal of Financial Economics, Elsevier, vol. 131(1), pages 186-205.
  • Handle: RePEc:eee:jfinec:v:131:y:2019:i:1:p:186-205
    DOI: 10.1016/j.jfineco.2018.07.015
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304405X18302022
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jfineco.2018.07.015?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. Jones, E Philip & Mason, Scott P & Rosenfeld, Eric, 1984. "Contingent Claims Analysis of Corporate Capital Structures: An Empirical Investigation," Journal of Finance, American Finance Association, vol. 39(3), pages 611-625, July.
    2. Elijah Brewer & Julapa Jagtiani, 2013. "How Much Did Banks Pay to Become Too-Big-To-Fail and to Become Systemically Important?," Journal of Financial Services Research, Springer;Western Finance Association, vol. 43(1), pages 1-35, February.
    3. Viral V. Acharya & Lasse H. Pedersen & Thomas Philippon & Matthew Richardson, 2017. "Measuring Systemic Risk," The Review of Financial Studies, Society for Financial Studies, vol. 30(1), pages 2-47.
    4. Peter H. GRUBER & Claudio TEBALDI & Fabio TROJANI, 2015. "The Price of the Smile and Variance Risk Premia," Swiss Finance Institute Research Paper Series 15-36, Swiss Finance Institute.
    5. Toft, Klaus Bjerre & Prucyk, Brian, 1997. "Options on Leveraged Equity: Theory and Empirical Tests," Journal of Finance, American Finance Association, vol. 52(3), pages 1151-1180, July.
    6. repec:bla:jfinan:v:44:y:1989:i:5:p:1115-53 is not listed on IDEAS
    7. Xin Huang & Hao Zhou & Haibin Zhu, 2012. "Systemic Risk Contributions," Journal of Financial Services Research, Springer;Western Finance Association, vol. 42(1), pages 55-83, October.
    8. Mark Egan & Ali Hortaçsu & Gregor Matvos, 2017. "Deposit Competition and Financial Fragility: Evidence from the US Banking Sector," American Economic Review, American Economic Association, vol. 107(1), pages 169-216, January.
    9. Bernadette A Minton & René M Stulz & Alvaro G Taboada, 2019. "Are the Largest Banks Valued More Highly?," The Review of Financial Studies, Society for Financial Studies, vol. 32(12), pages 4604-4652.
    10. Christian Brownlees & Robert F. Engle, 2017. "SRISK: A Conditional Capital Shortfall Measure of Systemic Risk," The Review of Financial Studies, Society for Financial Studies, vol. 30(1), pages 48-79.
    11. Kareken, John H & Wallace, Neil, 1978. "Deposit Insurance and Bank Regulation: A Partial-Equilibrium Exposition," The Journal of Business, University of Chicago Press, vol. 51(3), pages 413-438, July.
    12. Choi, Jaewon & Richardson, Matthew, 2016. "The volatility of a firm's assets and the leverage effect," Journal of Financial Economics, Elsevier, vol. 121(2), pages 254-277.
    13. K.J. Martijn Cremers & Joost Driessen & Pascal Maenhout, 2008. "Explaining the Level of Credit Spreads: Option-Implied Jump Risk Premia in a Firm Value Model," The Review of Financial Studies, Society for Financial Studies, vol. 21(5), pages 2209-2242, September.
    14. Joost Driessen & Pascal J. Maenhout & Grigory Vilkov, 2009. "The Price of Correlation Risk: Evidence from Equity Options," Journal of Finance, American Finance Association, vol. 64(3), pages 1377-1406, June.
    15. Gornall, Will & Strebulaev, Ilya A., 2018. "Financing as a supply chain: The capital structure of banks and borrowers," Journal of Financial Economics, Elsevier, vol. 129(3), pages 510-530.
    16. Peter Christoffersen & Mathieu Fournier & Kris Jacobs, 2018. "The Factor Structure in Equity Options," The Review of Financial Studies, Society for Financial Studies, vol. 31(2), pages 595-637.
    17. Panageas, Stavros, 2010. "Bailouts, the incentive to manage risk, and financial crises," Journal of Financial Economics, Elsevier, vol. 95(3), pages 296-311, March.
    18. Bryan Kelly & Hanno Lustig & Stijn Van Nieuwerburgh, 2016. "Too-Systemic-to-Fail: What Option Markets Imply about Sector-Wide Government Guarantees," American Economic Review, American Economic Association, vol. 106(6), pages 1278-1319, June.
    19. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
    20. Vasiliki D. Skintzi & Apostolos‐Paul N. Refenes, 2005. "Implied correlation index: A new measure of diversification," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 25(2), pages 171-197, February.
    21. Andrea Buraschi & Fabio Trojani & Andrea Vedolin, 2014. "When Uncertainty Blows in the Orchard: Comovement and Equilibrium Volatility Risk Premia," Journal of Finance, American Finance Association, vol. 69(1), pages 101-137, February.
    22. Geske, Robert, 1979. "The valuation of compound options," Journal of Financial Economics, Elsevier, vol. 7(1), pages 63-81, March.
    23. 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.
    24. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    25. Aït-Sahalia, Yacine & Fan, Jianqing & Li, Yingying, 2013. "The leverage effect puzzle: Disentangling sources of bias at high frequency," Journal of Financial Economics, Elsevier, vol. 109(1), pages 224-249.
    26. Heaton, John C. & Lucas, Deborah & McDonald, Robert L., 2010. "Is mark-to-market accounting destabilizing? Analysis and implications for policy," Journal of Monetary Economics, Elsevier, vol. 57(1), pages 64-75, January.
    27. Priyank Gandhi & Hanno Lustig, 2015. "Size Anomalies in U.S. Bank Stock Returns," Journal of Finance, American Finance Association, vol. 70(2), pages 733-768, April.
    28. Geske, Robert & Subrahmanyam, Avanidhar & Zhou, Yi, 2016. "Capital structure effects on the prices of equity call options," Journal of Financial Economics, Elsevier, vol. 121(2), pages 231-253.
    29. O'Hara, Maureen & Shaw, Wayne, 1990. "Deposit Insurance and Wealth Effects: The Value of Being "Too Big to Fail."," Journal of Finance, American Finance Association, vol. 45(5), pages 1587-1600, December.
    30. Andrea Buraschi & Fabio Trojani & Andrea Vedolin, 2014. "Economic Uncertainty, Disagreement, and Credit Markets," Management Science, INFORMS, vol. 60(5), pages 1281-1296, May.
    31. Merton, Robert C, 1978. "On the Cost of Deposit Insurance When There Are Surveillance Costs," The Journal of Business, University of Chicago Press, vol. 51(3), pages 439-452, July.
    32. Lucas, Deborah & McDonald, Robert L., 2006. "An options-based approach to evaluating the risk of Fannie Mae and Freddie Mac," Journal of Monetary Economics, Elsevier, vol. 53(1), pages 155-176, January.
    33. Christopher L. Culp & Yoshio Nozawa & Pietro Veronesi, 2018. "Option-Based Credit Spreads," American Economic Review, American Economic Association, vol. 108(2), pages 454-488, February.
    34. 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.
    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. Ruggero Jappelli & Loriana Pelizzon & Alberto Plazzi, 2021. "The Core, the Periphery, and the Disaster: Corporate-Sovereign Nexus in COVID-19 Times," Swiss Finance Institute Research Paper Series 21-30, Swiss Finance Institute.
    2. Andrea Gamba & Alessio Saretto, 2022. "Endogenous Option Pricing," Working Papers 2202, Federal Reserve Bank of Dallas.
    3. Bevilacqua, Mattia & Tunaru, Radu & Vioto, Davide, 2023. "Options-based systemic risk, financial distress, and macroeconomic downturns," LSE Research Online Documents on Economics 119289, London School of Economics and Political Science, LSE Library.
    4. Chirinko, Robert, 2023. "What went wrong? The Puerto Rican debt crisis, the “Treasury Put,” and the failure of market discipline," Journal of Corporate Finance, Elsevier, vol. 80(C).
    5. Bevilacqua, Mattia & Tunaru, Radu & Vioto, Davide, 2023. "Options-based systemic risk, financial distress, and macroeconomic downturns," Journal of Financial Markets, Elsevier, vol. 65(C).
    6. Bevilacqua, Mattia & Tunaru, Radu & Vioto, Davide, 2020. "Options-based systemic risk, financial distress, and macroeconomic downturns," LSE Research Online Documents on Economics 118850, London School of Economics and Political Science, LSE Library.

    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. Bryan Kelly & Hanno Lustig & Stijn Van Nieuwerburgh, 2016. "Too-Systemic-to-Fail: What Option Markets Imply about Sector-Wide Government Guarantees," American Economic Review, American Economic Association, vol. 106(6), pages 1278-1319, June.
    2. Michael B. Imerman, 2020. "When enough is not enough: bank capital and the Too-Big-To-Fail subsidy," Review of Quantitative Finance and Accounting, Springer, vol. 55(4), pages 1371-1406, November.
    3. Michael B. Imerman, 0. "When enough is not enough: bank capital and the Too-Big-To-Fail subsidy," Review of Quantitative Finance and Accounting, Springer, vol. 0, pages 1-36.
    4. A. W. Rathgeber & J. Stadler & S. Stöckl, 2021. "The impact of the leverage effect on the implied volatility smile: evidence for the German option market," Review of Derivatives Research, Springer, vol. 24(2), pages 95-133, July.
    5. Li, Zongyuan & Lai, Rose Neng, 2024. "Are “too big to fail” banks just different in size? – A study on systemic risk and stand-alone risk," International Review of Financial Analysis, Elsevier, vol. 93(C).
    6. Gündüz, Yalin, 2020. "The market impact of systemic risk capital surcharges," Discussion Papers 09/2020, Deutsche Bundesbank.
    7. Bai, Jennie & Goldstein, Robert S. & Yang, Fan, 2020. "Is the credit spread puzzle a myth?," Journal of Financial Economics, Elsevier, vol. 137(2), pages 297-319.
    8. Silva, Felipe Bastos Gurgel, 2021. "Fiscal Deficits, Bank Credit Risk, and Loan-Loss Provisions," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 56(5), pages 1537-1589, August.
    9. Davide E Avino & Enrique Salvador, 2024. "Contingent Claims and Hedging of Credit Risk with Equity Options," The Review of Asset Pricing Studies, Society for Financial Studies, vol. 14(2), pages 310-348.
    10. Gemmill, Gordon & Marra, Miriam, 2019. "Explaining CDS prices with Merton’s model before and after the Lehman default," Journal of Banking & Finance, Elsevier, vol. 106(C), pages 93-109.
    11. Chen, Ding & Guo, Biao & Zhou, Guofu, 2023. "Firm fundamentals and the cross-section of implied volatility shapes," Journal of Financial Markets, Elsevier, vol. 63(C).
    12. Stefan Nagel & Amiyatosh Purnanandam, 2020. "Banks’ Risk Dynamics and Distance to Default," The Review of Financial Studies, Society for Financial Studies, vol. 33(6), pages 2421-2467.
    13. Acharya, Viral & Anginer, Deniz & Warburton, Joe, 2016. "The End of Market Discipline? Investor Expectations of Implicit Government Guarantees," MPRA Paper 79700, University Library of Munich, Germany.
    14. Lee, Shih-Cheng & Lin, Chien-Ting & Tsai, Ming-Shann, 2015. "The pricing of deposit insurance in the presence of systematic risk," Journal of Banking & Finance, Elsevier, vol. 51(C), pages 1-11.
    15. Gomes, João F. & Grotteria, Marco & Wachter, Jessica A., 2023. "Foreseen risks," Journal of Economic Theory, Elsevier, vol. 212(C).
    16. Paul Schneider & Christian Wagner & Josef Zechner, 2020. "Low‐Risk Anomalies?," Journal of Finance, American Finance Association, vol. 75(5), pages 2673-2718, October.
    17. Robert F. Engle & Emil N. Siriwardane, 2018. "Structural GARCH: The Volatility-Leverage Connection," The Review of Financial Studies, Society for Financial Studies, vol. 31(2), pages 449-492.
    18. Nan Chen & S. G. Kou, 2009. "Credit Spreads, Optimal Capital Structure, And Implied Volatility With Endogenous Default And Jump Risk," Mathematical Finance, Wiley Blackwell, vol. 19(3), pages 343-378, July.
    19. Pierre Collin-Dufresne & Robert S. Goldstein & Fan Yang, 2010. "On the Relative Pricing of long Maturity S&P 500 Index Options and CDX Tranches," NBER Working Papers 15734, National Bureau of Economic Research, Inc.
    20. Xiao, Weilin & Zhang, Xili, 2016. "Pricing equity warrants with a promised lowest price in Merton’s jump–diffusion model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 219-238.

    More about this item

    Keywords

    Leverage effect; Option price; Credit spread; Volatility;
    All these keywords.

    JEL classification:

    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • G01 - Financial Economics - - General - - - Financial Crises
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • G28 - Financial Economics - - Financial Institutions and Services - - - Government Policy and Regulation

    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:eee:jfinec:v:131:y:2019:i:1:p:186-205. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/505576 .

    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.