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Default Risk and Option Returns

Author

Listed:
  • Aurelio Vasquez

    (Instituto Tecnologico Autonomo de Mexico, 01080 Mexico City, Mexico)

  • Xiao Xiao

    (Bayes Business School, City University of London, London EC1Y 8TZ, United Kingdom)

Abstract

This paper studies the effects of default risk on expected equity option returns. In the cross-section, expected delta-hedged equity option returns have a negative relation with default risk measured by credit ratings or default probability. In the time series, credit rating downgrades (upgrades) lead to a decrease (increase) in the firm’s delta-hedged option return. Our results are consistent with a stylized capital structure model in which the negative relation between option returns and default risk is driven by firm leverage and asset volatility.

Suggested Citation

  • Aurelio Vasquez & Xiao Xiao, 2024. "Default Risk and Option Returns," Management Science, INFORMS, vol. 70(4), pages 2144-2167, April.
  • Handle: RePEc:inm:ormnsc:v:70:y:2024:i:4:p:2144-2167
    DOI: 10.1287/mnsc.2023.4796
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    References listed on IDEAS

    as
    1. Conrad, Jennifer & Kapadia, Nishad & Xing, Yuhang, 2014. "Death and jackpot: Why do individual investors hold overpriced stocks?," Journal of Financial Economics, Elsevier, vol. 113(3), pages 455-475.
    2. Vasquez, Aurelio, 2017. "Equity Volatility Term Structures and the Cross Section of Option Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 52(6), pages 2727-2754, December.
    3. Fama, Eugene F & French, Kenneth R, 1992. "The Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 47(2), pages 427-465, June.
    4. S. G. Kou, 2002. "A Jump-Diffusion Model for Option Pricing," Management Science, INFORMS, vol. 48(8), pages 1086-1101, August.
    5. Karl B. Diether & Christopher J. Malloy & Anna Scherbina, 2002. "Differences of Opinion and the Cross Section of Stock Returns," Journal of Finance, American Finance Association, vol. 57(5), pages 2113-2141, October.
    6. Dmitriy Muravyev & Neil D Pearson & Stijn Van Nieuwerburgh, 2020. "Options Trading Costs Are Lower than You Think," The Review of Financial Studies, Society for Financial Studies, vol. 33(11), pages 4973-5014.
    7. John Y. Campbell & Jens Hilscher & Jan Szilagyi, 2008. "In Search of Distress Risk," Journal of Finance, American Finance Association, vol. 63(6), pages 2899-2939, December.
    8. 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.
    9. Amihud, Yakov, 2002. "Illiquidity and stock returns: cross-section and time-series effects," Journal of Financial Markets, Elsevier, vol. 5(1), pages 31-56, January.
    10. Fama, Eugene F. & French, Kenneth R., 2015. "A five-factor asset pricing model," Journal of Financial Economics, Elsevier, vol. 116(1), pages 1-22.
    11. Brian H. Boyer & Keith Vorkink, 2014. "Stock Options as Lotteries," Journal of Finance, American Finance Association, vol. 69(4), pages 1485-1527, August.
    12. Andrew Ang & Robert J. Hodrick & Yuhang Xing & Xiaoyan Zhang, 2006. "The Cross‐Section of Volatility and Expected Returns," Journal of Finance, American Finance Association, vol. 61(1), pages 259-299, February.
    13. Fama, Eugene F. & French, Kenneth R., 1993. "Common risk factors in the returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 33(1), pages 3-56, February.
    14. 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.
    15. Bali, Turan G. & Cakici, Nusret & Whitelaw, Robert F., 2011. "Maxing out: Stocks as lotteries and the cross-section of expected returns," Journal of Financial Economics, Elsevier, vol. 99(2), pages 427-446, February.
    16. Christoffersen, Peter & Jacobs, Kris & Ornthanalai, Chayawat, 2012. "Dynamic jump intensities and risk premiums: Evidence from S&P500 returns and options," Journal of Financial Economics, Elsevier, vol. 106(3), pages 447-472.
    17. 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.
    18. repec:bla:jfinan:v:59:y:2004:i:2:p:831-868 is not listed on IDEAS
    19. Peter Carr & Liuren Wu, 2009. "Variance Risk Premiums," The Review of Financial Studies, Society for Financial Studies, vol. 22(3), pages 1311-1341, March.
    20. Cao, Jie & Han, Bing, 2013. "Cross section of option returns and idiosyncratic stock volatility," Journal of Financial Economics, Elsevier, vol. 108(1), pages 231-249.
    21. Bai, Jennie & Bali, Turan G. & Wen, Quan, 2019. "Common risk factors in the cross-section of corporate bond returns," Journal of Financial Economics, Elsevier, vol. 131(3), pages 619-642.
    22. Jegadeesh, Narasimhan, 1990. "Evidence of Predictable Behavior of Security Returns," Journal of Finance, American Finance Association, vol. 45(3), pages 881-898, July.
    23. Xing, Yuhang & Zhang, Xiaoyan & Zhao, Rui, 2010. "What Does the Individual Option Volatility Smirk Tell Us About Future Equity Returns?," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 45(3), pages 641-662, June.
    24. 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.
    25. Fama, Eugene F. & French, Kenneth R., 2006. "Profitability, investment and average returns," Journal of Financial Economics, Elsevier, vol. 82(3), pages 491-518, December.
    26. Robert A. Jarrow & Stuart M. Turnbull, 2008. "Pricing Derivatives on Financial Securities Subject to Credit Risk," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 17, pages 377-409, World Scientific Publishing Co. Pte. Ltd..
    27. Peter Carr & Liuren Wu, 2011. "A Simple Robust Link Between American Puts and Credit Protection," The Review of Financial Studies, Society for Financial Studies, vol. 24(2), pages 473-505.
    28. Panayiotis C. Andreou, 2015. "Effects of market default risk on index option risk-neutral moments," Quantitative Finance, Taylor & Francis Journals, vol. 15(12), pages 2021-2040, December.
    29. 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.
    30. Dmitriy Muravyev & Neil D. Pearson & Joshua M. Pollet, 2022. "Is There a Risk Premium in the Stock Lending Market? Evidence from Equity Options," Journal of Finance, American Finance Association, vol. 77(3), pages 1787-1828, June.
    31. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
    32. Sreedhar T. Bharath & Tyler Shumway, 2008. "Forecasting Default with the Merton Distance to Default Model," The Review of Financial Studies, Society for Financial Studies, vol. 21(3), pages 1339-1369, May.
    33. Bali, Turan G. & Murray, Scott, 2013. "Does Risk-Neutral Skewness Predict the Cross-Section of Equity Option Portfolio Returns?," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 48(4), pages 1145-1171, August.
    34. Palazzo, Berardino, 2012. "Cash holdings, risk, and expected returns," Journal of Financial Economics, Elsevier, vol. 104(1), pages 162-185.
    35. Banz, Rolf W., 1981. "The relationship between return and market value of common stocks," Journal of Financial Economics, Elsevier, vol. 9(1), pages 3-18, March.
    36. Viktor Todorov, 2010. "Variance Risk-Premium Dynamics: The Role of Jumps," The Review of Financial Studies, Society for Financial Studies, vol. 23(1), pages 345-383, January.
    37. 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.
    38. Byeong-Je An & Andrew Ang & Turan G. Bali & Nusret Cakici, 2014. "The Joint Cross Section of Stocks and Options," Journal of Finance, American Finance Association, vol. 69(5), pages 2279-2337, October.
    39. Cremers, Martijn & Weinbaum, David, 2010. "Deviations from Put-Call Parity and Stock Return Predictability," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 45(2), pages 335-367, April.
    40. Xintong (Eunice) Zhan & Bing Han & Jie Cao & Qing Tong, 2022. "Option Return Predictability," The Review of Financial Studies, Society for Financial Studies, vol. 35(3), pages 1394-1442.
    41. Jegadeesh, Narasimhan & Titman, Sheridan, 1993. "Returns to Buying Winners and Selling Losers: Implications for Stock Market Efficiency," Journal of Finance, American Finance Association, vol. 48(1), pages 65-91, March.
    42. Johnson, Herb & Stulz, Rene, 1987. "The Pricing of Options with Default Risk," Journal of Finance, American Finance Association, vol. 42(2), pages 267-280, June.
    43. Kelly, Bryan T. & Pruitt, Seth & Su, Yinan, 2019. "Characteristics are covariances: A unified model of risk and return," Journal of Financial Economics, Elsevier, vol. 134(3), pages 501-524.
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