IDEAS home Printed from https://ideas.repec.org/a/spr/reaccs/v25y2020i1d10.1007_s11142-019-09513-z.html
   My bibliography  Save this article

The term structure of implied costs of equity capital

Author

Listed:
  • Jeffrey L. Callen

    (University of Toronto)

  • Matthew R. Lyle

    (Northwestern University)

Abstract

We model and estimate the term structure of implied costs of equity capital (and implied risk premia) at the firm level for the years 1996–2015 from forward looking option contracts. Empirical tests reject the assumption that the term structure of implied firm-level costs of equity is constant over different time horizons. Instead, we find that the term structure is often upward sloping and concave. However, we also find that the term structure flattened during the 1998 and 2007–2008 crises and even sloped downward during part of 2008. Term structure estimates are shown to predict future stock returns and volatilities over multiple horizons. In contrast to static implied cost of capital models, the term structure estimates can capture ex ante the well-documented earnings announcement premium. Moreover, various firm-level characteristics related to firm performance and risk are shown to explain some of the cross-sectional variation in the shape of the term structure.

Suggested Citation

  • Jeffrey L. Callen & Matthew R. Lyle, 2020. "The term structure of implied costs of equity capital," Review of Accounting Studies, Springer, vol. 25(1), pages 342-404, March.
  • Handle: RePEc:spr:reaccs:v:25:y:2020:i:1:d:10.1007_s11142-019-09513-z
    DOI: 10.1007/s11142-019-09513-z
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11142-019-09513-z
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s11142-019-09513-z?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. 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. Back, Kerry, 2010. "Asset Pricing and Portfolio Choice Theory," OUP Catalogue, Oxford University Press, number 9780195380613.
    3. Tuomo Vuolteenaho, 2002. "What Drives Firm‐Level Stock Returns?," Journal of Finance, American Finance Association, vol. 57(1), pages 233-264, February.
    4. repec:bla:jfinan:v:53:y:1998:i:5:p:1563-1587 is not listed on IDEAS
    5. Lettau, Martin & Ludvigson, Sydney, 2002. "Time-varying risk premia and the cost of capital: An alternative implication of the Q theory of investment," Journal of Monetary Economics, Elsevier, vol. 49(1), pages 31-66, January.
    6. Jagannathan, Ravi & Wang, Zhenyu, 1996. "The Conditional CAPM and the Cross-Section of Expected Returns," Journal of Finance, American Finance Association, vol. 51(1), pages 3-53, March.
    7. Lewellen, Jonathan, 2015. "The Cross-section of Expected Stock Returns," Critical Finance Review, now publishers, vol. 4(1), pages 1-44, June.
    8. Tim Bollerslev & George Tauchen & Hao Zhou, 2009. "Expected Stock Returns and Variance Risk Premia," The Review of Financial Studies, Society for Financial Studies, vol. 22(11), pages 4463-4492, November.
    9. Ľuboš Pástor & Meenakshi Sinha & Bhaskaran Swaminathan, 2008. "Estimating the Intertemporal Risk–Return Tradeoff Using the Implied Cost of Capital," Journal of Finance, American Finance Association, vol. 63(6), pages 2859-2897, December.
    10. Johnson, Travis L. & So, Eric C., 2012. "The option to stock volume ratio and future returns," Journal of Financial Economics, Elsevier, vol. 106(2), pages 262-286.
    11. Campbell, John Y, 1991. "A Variance Decomposition for Stock Returns," Economic Journal, Royal Economic Society, vol. 101(405), pages 157-179, March.
    12. 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.
    13. Adrian Buss & Grigory Vilkov, 2012. "Measuring Equity Risk with Option-implied Correlations," The Review of Financial Studies, Society for Financial Studies, vol. 25(10), pages 3113-3140.
    14. Bollerslev, Tim & Russell, Jeffrey & Watson, Mark (ed.), 2010. "Volatility and Time Series Econometrics: Essays in Honor of Robert Engle," OUP Catalogue, Oxford University Press, number 9780199549498.
    15. John Y. Campbell, Robert J. Shiller, 1988. "The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors," The Review of Financial Studies, Society for Financial Studies, vol. 1(3), pages 195-228.
    16. Hou, Kewei & van Dijk, Mathijs A. & Zhang, Yinglei, 2012. "The implied cost of capital: A new approach," Journal of Accounting and Economics, Elsevier, vol. 53(3), pages 504-526.
    17. Ofek, Eli & Richardson, Matthew & Whitelaw, Robert F., 2004. "Limited arbitrage and short sales restrictions: evidence from the options markets," Journal of Financial Economics, Elsevier, vol. 74(2), pages 305-342, November.
    18. 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.
    19. Kelly Shue & Richard Townsend, 2017. "How do Quasi-Random Option Grants Affect CEO Risk-Taking?," NBER Working Papers 23091, National Bureau of Economic Research, Inc.
    20. Frederico Belo & Pierre Collin-Dufresne & Robert S. Goldstein, 2015. "Dividend Dynamics and the Term Structure of Dividend Strips," Journal of Finance, American Finance Association, vol. 70(3), pages 1115-1160, June.
    21. Bo-Young Chang & Peter Christoffersen & Kris Jacobs & Gregory Vainberg, 2011. "Option-Implied Measures of Equity Risk," Review of Finance, European Finance Association, vol. 16(2), pages 385-428.
    22. Patell, Jm & Wolfson, Ma, 1981. "The Ex Ante And Ex Post Price Effects Of Quarterly Earnings Announcements Reflected In Option And Stock-Prices," Journal of Accounting Research, Wiley Blackwell, vol. 19(2), pages 434-458.
    23. Jeffrey L. Callen & Dan Segal, 2004. "Do Accruals Drive Firm‐Level Stock Returns? A Variance Decomposition Analysis," Journal of Accounting Research, Wiley Blackwell, vol. 42(3), pages 527-560, June.
    24. Yan, Shu, 2011. "Jump risk, stock returns, and slope of implied volatility smile," Journal of Financial Economics, Elsevier, vol. 99(1), pages 216-233, January.
    25. John Y. Campbell & Tuomo Vuolteenaho, 2004. "Bad Beta, Good Beta," American Economic Review, American Economic Association, vol. 94(5), pages 1249-1275, December.
    26. James Claus & Jacob Thomas, 2001. "Equity Premia as Low as Three Percent? Evidence from Analysts' Earnings Forecasts for Domestic and International Stock Markets," Journal of Finance, American Finance Association, vol. 56(5), pages 1629-1666, October.
    27. John Y. Campbell & John Cochrane, 1999. "Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 205-251, April.
    28. 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.
    29. William R. Gebhardt & Charles M. C. Lee & Bhaskaran Swaminathan, 2001. "Toward an Implied Cost of Capital," Journal of Accounting Research, Wiley Blackwell, vol. 39(1), pages 135-176, June.
    30. Jean Tirole, 2011. "Illiquidity and All Its Friends," Journal of Economic Literature, American Economic Association, vol. 49(2), pages 287-325, June.
    31. Robert J. Barro, 2006. "Rare Disasters and Asset Markets in the Twentieth Century," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(3), pages 823-866.
    32. Christine A. Botosan & Marlene A. Plumlee & HE Wen, 2011. "The Relation between Expected Returns, Realized Returns, and Firm Risk Characteristics," Contemporary Accounting Research, John Wiley & Sons, vol. 28(4), pages 1085-1122, December.
    33. Ravi Jagannathan & Ellen R. McGrattan & Anna Scherbina, 2000. "The declining U.S. equity premium," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 24(Fall), pages 3-19.
    34. Hodrick, Robert J, 1992. "Dividend Yields and Expected Stock Returns: Alternative Procedures for Inference and Measurement," The Review of Financial Studies, Society for Financial Studies, vol. 5(3), pages 357-386.
    35. Martin Lettau & Sydney Ludvigson, 2001. "Resurrecting the (C)CAPM: A Cross-Sectional Test When Risk Premia Are Time-Varying," Journal of Political Economy, University of Chicago Press, vol. 109(6), pages 1238-1287, December.
    36. Kelly Shue & Richard R. Townsend, 2017. "How Do Quasi†Random Option Grants Affect CEO Risk†Taking?," Journal of Finance, American Finance Association, vol. 72(6), pages 2551-2588, December.
    37. Diebold, Francis X. & Li, Canlin, 2006. "Forecasting the term structure of government bond yields," Journal of Econometrics, Elsevier, vol. 130(2), pages 337-364, February.
    38. Martin Lettau & Jessica A. Wachter, 2007. "Why Is Long‐Horizon Equity Less Risky? A Duration‐Based Explanation of the Value Premium," Journal of Finance, American Finance Association, vol. 62(1), pages 55-92, February.
    39. 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.
    40. Xavier Gabaix, 2012. "Variable Rare Disasters: An Exactly Solved Framework for Ten Puzzles in Macro-Finance," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(2), pages 645-700.
    41. Nelson, Charles R & Siegel, Andrew F, 1987. "Parsimonious Modeling of Yield Curves," The Journal of Business, University of Chicago Press, vol. 60(4), pages 473-489, October.
    42. Peter Carr & Roger Lee, 2009. "Volatility Derivatives," Annual Review of Financial Economics, Annual Reviews, vol. 1(1), pages 319-339, November.
    43. 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.
    44. Rogers, Jonathan L. & Skinner, Douglas J. & Van Buskirk, Andrew, 2009. "Earnings guidance and market uncertainty," Journal of Accounting and Economics, Elsevier, vol. 48(1), pages 90-109, October.
    45. John H. Cochrane, 2011. "Presidential Address: Discount Rates," Journal of Finance, American Finance Association, vol. 66(4), pages 1047-1108, August.
    46. Fama, Eugene F. & French, Kenneth R., 1997. "Industry costs of equity," Journal of Financial Economics, Elsevier, vol. 43(2), pages 153-193, February.
    47. Mitchell A. Petersen, 2009. "Estimating Standard Errors in Finance Panel Data Sets: Comparing Approaches," The Review of Financial Studies, Society for Financial Studies, vol. 22(1), pages 435-480, January.
    48. Patell, James M. & Wolfson, Mark A., 1979. "Anticipated information releases reflected in call option prices," Journal of Accounting and Economics, Elsevier, vol. 1(2), pages 117-140, August.
    49. 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.
    50. repec:bla:jfinan:v:59:y:2004:i:6:p:2745-2783 is not listed on IDEAS
    51. Easton, Peter, 2009. "Estimating the Cost of Capital Implied by Market Prices and Accounting Data," Foundations and Trends(R) in Accounting, now publishers, vol. 2(4), pages 241-364, January.
    52. 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.
    53. Jeffrey L. Callen & Ole‐Kristian Hope & Dan Segal, 2005. "Domestic and Foreign Earnings, Stock Return Variability, and the Impact of Investor Sophistication," Journal of Accounting Research, Wiley Blackwell, vol. 43(3), pages 377-412, June.
    54. Hengjie Ai & Mariano Max Croce & Anthony M Diercks & Kai Li, 2018. "News Shocks and the Production-Based Term Structure of Equity Returns," The Review of Financial Studies, Society for Financial Studies, vol. 31(7), pages 2423-2467.
    55. Beaver, William H., 1999. "Comments on 'An empirical assessment of the residual income valuation model'," Journal of Accounting and Economics, Elsevier, vol. 26(1-3), pages 35-42, January.
    56. George J. Jiang & Yisong S. Tian, 2005. "The Model-Free Implied Volatility and Its Information Content," The Review of Financial Studies, Society for Financial Studies, vol. 18(4), pages 1305-1342.
    57. Croce, Mariano & Ai, Hengjie & Li, Kai & Diercks, Anthony, 2018. "News Shocks and the Production-Based Term Structure of Equity Returns," CEPR Discussion Papers 12661, C.E.P.R. Discussion Papers.
    58. 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.
    59. repec:bla:jfinan:v:59:y:2004:i:4:p:1481-1509 is not listed on IDEAS
    60. Hasan, Mostafa Monzur & Hossain, Mahmud & Cheung, Adrian (Wai-Kong) & Habib, Ahsan, 2015. "Corporate life cycle and cost of equity capital," Journal of Contemporary Accounting and Economics, Elsevier, vol. 11(1), pages 46-60.
    61. Petkova, Ralitsa & Zhang, Lu, 2005. "Is value riskier than growth?," Journal of Financial Economics, Elsevier, vol. 78(1), pages 187-202, October.
    62. Peter Carr & Liuren Wu, 2009. "Variance Risk Premiums," The Review of Financial Studies, Society for Financial Studies, vol. 22(3), pages 1311-1341, March.
    63. Wen Jin & Joshua Livnat & Yuan Zhang, 2012. "Option Prices Leading Equity Prices: Do Option Traders Have an Information Advantage?," Journal of Accounting Research, Wiley Blackwell, vol. 50(2), pages 401-432, May.
    64. 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.
    65. Christensen, B. J. & Prabhala, N. R., 1998. "The relation between implied and realized volatility," Journal of Financial Economics, Elsevier, vol. 50(2), pages 125-150, November.
    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. Jakub Horak & Petr Suler & Jaroslav Kollmann & Jan Marecek, 2020. "Credit Absorption Capacity of Businesses in the Construction Sector of the Czech Republic—Analysis Based on the Difference in Values of EVA Entity and EVA Equity," Sustainability, MDPI, vol. 12(21), pages 1-16, October.
    2. Yu, Huaibing, 2024. "Why isn't composite equity issuance favored by the stock market? A risk-based explanation for the anomaly," International Review of Financial Analysis, Elsevier, vol. 94(C).
    3. Shen, Carl Hsin-han & Zhang, Hao, 2020. "What's good for you is good for me: The effect of CEO inside debt on the cost of equity," Journal of Corporate Finance, Elsevier, vol. 64(C).

    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. Lyle, Matthew R. & Wang, Charles C.Y., 2015. "The cross section of expected holding period returns and their dynamics: A present value approach," Journal of Financial Economics, Elsevier, vol. 116(3), pages 505-525.
    2. Ye Li & Chen Wang, 2023. "Valuation Duration of the Stock Market," Papers 2310.07110, arXiv.org.
    3. Khimich, Natalya, 2017. "A comparison of alternative cash flow and discount rate news proxies," Journal of Empirical Finance, Elsevier, vol. 41(C), pages 31-52.
    4. Gonçalves, Andrei S., 2021. "The short duration premium," Journal of Financial Economics, Elsevier, vol. 141(3), pages 919-945.
    5. Chichernea, Doina & Huang, Kershen & Petkevich, Alex & Teterin, Pavel, 2024. "Options trading imbalance, cash-flow news, and discount-rate news," Journal of Empirical Finance, Elsevier, vol. 77(C).
    6. Pengguo Wang, 2018. "Future Realized Return, Firm‐specific Risk and the Implied Expected Return," Abacus, Accounting Foundation, University of Sydney, vol. 54(1), pages 105-132, March.
    7. Mohsen Jafarian & Fauzias Mat Nor & Izani Ibrahim, 2018. "The Relative Importance of Cash Flow News and Discount Rate News at Driving Stock Price Change," Capital Markets Review, Malaysian Finance Association, vol. 26(1), pages 56-72.
    8. Schröder, David & Esterer, Florian, 2012. "A new measure of equity duration: The duration-based explanation of the value premium revisited," VfS Annual Conference 2012 (Goettingen): New Approaches and Challenges for the Labor Market of the 21st Century 62077, Verein für Socialpolitik / German Economic Association.
    9. Atif Ellahie, 2021. "Earnings beta," Review of Accounting Studies, Springer, vol. 26(1), pages 81-122, March.
    10. Khan, Mozaffar, 2008. "Are accruals mispriced Evidence from tests of an Intertemporal Capital Asset Pricing Model," Journal of Accounting and Economics, Elsevier, vol. 45(1), pages 55-77, March.
    11. Huang, Huichou & MacDonald, Ronald & Zhao, Yang, 2012. "Global Currency Misalignments, Crash Sensitivity, and Downside Insurance Costs," MPRA Paper 53745, University Library of Munich, Germany, revised 18 Nov 2013.
    12. Mike Qinghao Mao & K. C. John Wei, 2016. "Cash-Flow News and the Investment Effect in the Cross Section of Stock Returns," Management Science, INFORMS, vol. 62(9), pages 2504-2519, September.
    13. Stefan Nagel, 2013. "Empirical Cross-Sectional Asset Pricing," Annual Review of Financial Economics, Annual Reviews, vol. 5(1), pages 167-199, November.
    14. Chen, Long & Petkova, Ralitsa & Zhang, Lu, 2008. "The expected value premium," Journal of Financial Economics, Elsevier, vol. 87(2), pages 269-280, February.
    15. Martin Lettau & Jessica A. Wachter, 2007. "Why Is Long‐Horizon Equity Less Risky? A Duration‐Based Explanation of the Value Premium," Journal of Finance, American Finance Association, vol. 62(1), pages 55-92, February.
    16. Mao, Mike Qinghao & Wei, K.C. John, 2014. "Price and earnings momentum: An explanation using return decomposition," Journal of Empirical Finance, Elsevier, vol. 28(C), pages 332-351.
    17. Weber, Michael, 2018. "Cash flow duration and the term structure of equity returns," Journal of Financial Economics, Elsevier, vol. 128(3), pages 486-503.
    18. Tano Santos & Pietro Veronesi, 2005. "Cash-Flow Risk, Discount Risk, and the Value Premium," NBER Working Papers 11816, National Bureau of Economic Research, Inc.
    19. Barth, Mary E. & Konchitchki, Yaniv & Landsman, Wayne R., 2013. "Cost of capital and earnings transparency," Journal of Accounting and Economics, Elsevier, vol. 55(2), pages 206-224.
    20. Matthijs Breugem & Stefano Colonello & Roberto Marfè & Francesca Zucchi, 2020. "Dynamic Equity Slope," Working Papers 2020:21, Department of Economics, University of Venice "Ca' Foscari".

    More about this item

    Keywords

    Term structure; Expected returns; Implied cost of equity capital; Option contracts;
    All these keywords.

    JEL classification:

    • M41 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Accounting - - - Accounting
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill

    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:spr:reaccs:v:25:y:2020:i:1:d:10.1007_s11142-019-09513-z. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.