IDEAS home Printed from https://ideas.repec.org/a/taf/applec/v47y2015i3p288-301.html
   My bibliography  Save this article

Estimating the cost of equity for private firms using accounting fundamentals

Author

Listed:
  • J. Sarmiento-Sabogal
  • M. Sadeghi

Abstract

Finance literature suggests the use of the Accounting Beta (BACC) as a proxy for the Capital Asset Pricing Model (CAPM) market beta to estimate the cost of equity capital when the stock price is not available. Previous researchers have aimed to achieve this objective by determining the correlation between accounting variables and the market beta. However, the magnitude of the resulting error in this correlation has remained unknown. The current study is an attempt to test the performance of the BACC as a proxy measure for the market risk and to examine the extent of the statistical error in the correlation between these two measures. Our findings indicate that BACC overestimates the market beta by between 20% and 50%. Applying some corrective measures, such as operational earnings scaled by equity, may lessen this difference to a range of 22%-25%; however, it does not eliminate the error. Our output also suggests that the BACC might be biased when used to assess the risk of small firms.

Suggested Citation

  • J. Sarmiento-Sabogal & M. Sadeghi, 2015. "Estimating the cost of equity for private firms using accounting fundamentals," Applied Economics, Taylor & Francis Journals, vol. 47(3), pages 288-301, January.
  • Handle: RePEc:taf:applec:v:47:y:2015:i:3:p:288-301
    DOI: 10.1080/00036846.2014.969826
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00036846.2014.969826
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1080/00036846.2014.969826?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. Randolph B. Cohen & Christopher Polk & Tuomo Vuolteenaho, 2003. "The Value Spread," Journal of Finance, American Finance Association, vol. 58(2), pages 609-641, April.
    2. Randolph B. Cohen & Christopher Polk & Tuomo Vuolteenaho, 2009. "The Price Is (Almost) Right," Journal of Finance, American Finance Association, vol. 64(6), pages 2739-2782, December.
    3. Thompson, Samuel B., 2011. "Simple formulas for standard errors that cluster by both firm and time," Journal of Financial Economics, Elsevier, vol. 99(1), pages 1-10, January.
    4. John Campbell & Jianping Mei, 1993. "Where do Betas Come From? Asset Price Dynamics and the Sources of Systematic Risk," NBER Working Papers 4329, National Bureau of Economic Research, Inc.
    5. Beaver, William & Manegold, James, 1975. "The Association between Market-Determined and Accounting-Determined Measures of Systematic Risk: Some Further Evidence," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 10(2), pages 231-284, June.
    6. Kent Daniel & Sheridan Titman, 2006. "Market Reactions to Tangible and Intangible Information," Journal of Finance, American Finance Association, vol. 61(4), pages 1605-1643, August.
    7. Lev, B, 1989. "On The Usefulness Of Earnings And Earnings Research - Lessons And Directions From 2 Decades Of Empirical-Research," Journal of Accounting Research, Wiley Blackwell, vol. 27, pages 153-192.
    8. Campbell, John Y & Mei, Jianping, 1993. "Where Do Betas Come From? Asset Price Dynamics and the," Review of Financial Studies, Society for Financial Studies, vol. 6(3), pages 567-592.
    9. Gonedes, Nicholas J., 1973. "Evidence on the Information Content of Accounting Numbers: Accounting-based and Market-based Estimates of Systematic Risk," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 8(3), pages 407-443, June.
    10. X. Frank Zhang, 2006. "Information Uncertainty and Stock Returns," Journal of Finance, American Finance Association, vol. 61(1), pages 105-137, February.
    11. Bowman, Robert G, 1979. "The Theoretical Relationship between Systematic Risk and Financial (Accounting) Variables," Journal of Finance, American Finance Association, vol. 34(3), pages 617-630, June.
    12. Eugene F. Fama, 2002. "Testing Trade-Off and Pecking Order Predictions About Dividends and Debt," Review of Financial Studies, Society for Financial Studies, vol. 15(1), pages 1-33, March.
    13. Dechow, Patricia M., 1994. "Accounting earnings and cash flows as measures of firm performance : The role of accounting accruals," Journal of Accounting and Economics, Elsevier, vol. 18(1), pages 3-42, July.
    14. Gonedes, Nicholas J., 1975. "A Note of Accounting-Based and Market-Based Estimates of Systematic Risk," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 10(2), pages 355-365, June.
    15. Graham, John R. & Harvey, Campbell R., 2001. "The theory and practice of corporate finance: evidence from the field," Journal of Financial Economics, Elsevier, vol. 60(2-3), pages 187-243, May.
    16. Hill, Ned C. & Stone, Bernell K., 1980. "Accounting Betas, Systematic Operating Risk, and Financial Leverage: A Risk-Composition Approach to the Determinants of Systematic Risk," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 15(3), pages 595-637, September.
    17. Roll, Richard & Ross, Stephen A, 1994. "On the Cross-sectional Relation between Expected Returns and Betas," Journal of Finance, American Finance Association, vol. 49(1), pages 101-121, March.
    18. Randolph B. Cohen & Christopher Polk & Tuomo Vuolteenaho, 2003. "The Value Spread," Journal of Finance, American Finance Association, vol. 58(2), pages 609-642, April.
    19. 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.
    20. Ohlson, James A., 1979. "Risk, Return, Security-Valuation and the Stochastic Behavior of Accounting Numbers," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 14(2), pages 317-336, June.
    21. Collins, Daniel W. & Kothari, S. P. & Shanken, Jay & Sloan, Richard G., 1994. "Lack of timeliness and noise as explanations for the low contemporaneuos return-earnings association," Journal of Accounting and Economics, Elsevier, vol. 18(3), pages 289-324, November.
    22. Bowman, Rg, 1980. "The Importance Of A Market-Value Measurement Of Debt In Assessing Leverage," Journal of Accounting Research, Wiley Blackwell, vol. 18(1), pages 242-254.
    23. Haim Levy, 2010. "The CAPM is Alive and Well: A Review and Synthesis," European Financial Management, European Financial Management Association, vol. 16(1), pages 43-71, January.
    24. Ray Ball & Gil Sadka & Ronnie Sadka, 2009. "Aggregate Earnings and Asset Prices," Journal of Accounting Research, Wiley Blackwell, vol. 47(5), pages 1097-1133, December.
    25. Lev, Baruch & Sunder, Shyam, 1979. "Methodological issues in the use of financial ratios," Journal of Accounting and Economics, Elsevier, vol. 1(3), pages 187-210, December.
    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. Anna Rutkowska-Ziarko, 2019. "Korelacja pomiędzy rentownością a księgowymi współczynnikami beta dla polskiego sektora budowlanego," Collegium of Economic Analysis Annals, Warsaw School of Economics, Collegium of Economic Analysis, issue 54, pages 371-382.
    2. Julio Sarmiento & Mehdi Sadeghi & Juan S. Sandoval & Edgardo Cayon, 2021. "The application of proxy methods for estimating the cost of equity for unlisted companies: evidence from listed firms," Review of Quantitative Finance and Accounting, Springer, vol. 57(3), pages 1009-1031, October.
    3. Mario Situm, 2021. "Determination of expected cost of equity with the CAPM: Theoretical extension using the law of error propagation," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 42(1), pages 77-84, January.

    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. Julio Sarmiento & Mehdi Sadeghi & Juan S. Sandoval & Edgardo Cayon, 2021. "The application of proxy methods for estimating the cost of equity for unlisted companies: evidence from listed firms," Review of Quantitative Finance and Accounting, Springer, vol. 57(3), pages 1009-1031, October.
    2. Ray Ball & Gil Sadka & Ayung Tseng, 2022. "Using accounting earnings and aggregate economic indicators to estimate firm-level systematic risk," Review of Accounting Studies, Springer, vol. 27(2), pages 607-646, June.
    3. Sarmiento-Sabogal, Julio & Sadeghi, Mehdi, 2014. "Unlevered betas and the cost of equity capital: An empirical approach," The North American Journal of Economics and Finance, Elsevier, vol. 30(C), pages 90-105.
    4. Tano Santos & Pietro Veronesi, 2005. "Cash-Flow Risk, Discount Risk, and the Value Premium," NBER Working Papers 11816, National Bureau of Economic Research, Inc.
    5. John Y. Campbell & Tuomo Vuolteenaho, 2004. "Bad Beta, Good Beta," American Economic Review, American Economic Association, vol. 94(5), pages 1249-1275, December.
    6. Atif Ellahie, 2021. "Earnings beta," Review of Accounting Studies, Springer, vol. 26(1), pages 81-122, March.
    7. Fukuta, Yuichi & Yamane, Akiko, 2015. "Value premium and implied equity duration in the Japanese stock market," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 39(C), pages 102-121.
    8. John Y. Campbell & Christopher Polk & Tuomo Vuolteenaho, 2010. "Growth or Glamour? Fundamentals and Systematic Risk in Stock Returns," Review of Financial Studies, Society for Financial Studies, vol. 23(1), pages 305-344, January.
    9. Cenesizoglu, Tolga, 2011. "Size, book-to-market ratio and macroeconomic news," Journal of Empirical Finance, Elsevier, vol. 18(2), pages 248-270, March.
    10. Drobetz, Wolfgang & Menzel, Christina & Schröder, Henning, 2016. "Systematic risk behavior in cyclical industries: The case of shipping," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 88(C), pages 129-145.
    11. Gordon V. Karels & William H. Sackley, 1993. "The Relationship Between Market And Accounting Betas For Commercial Banks," Review of Financial Economics, John Wiley & Sons, vol. 2(2), pages 59-72, March.
    12. Clifford S. Asness & Andrea Frazzini & Lasse Heje Pedersen, 2019. "Quality minus junk," Review of Accounting Studies, Springer, vol. 24(1), pages 34-112, March.
    13. Bahel, Eric & Trudeau, Christian, 2014. "Stable lexicographic rules for shortest path games," Economics Letters, Elsevier, vol. 125(2), pages 266-269.
    14. Adam Zaremba & Jacob Koby Shemer, 2018. "Price-Based Investment Strategies," Springer Books, Springer, number 978-3-319-91530-2, November.
    15. Gil Sadka, 2007. "Understanding Stock Price Volatility: The Role of Earnings," Journal of Accounting Research, Wiley Blackwell, vol. 45(1), pages 199-228, March.
    16. Stefan Nagel, 2013. "Empirical Cross-Sectional Asset Pricing," Annual Review of Financial Economics, Annual Reviews, vol. 5(1), pages 167-199, November.
    17. Clarke, Charles, 2022. "The level, slope, and curve factor model for stocks," Journal of Financial Economics, Elsevier, vol. 143(1), pages 159-187.
    18. Juhani T. Linnainmaa & Michael R. Roberts, 2016. "The History of the Cross Section of Stock Returns," NBER Working Papers 22894, National Bureau of Economic Research, Inc.
    19. Pavel Bandarchuk & Jens Hilscher, 2013. "Sources of Momentum Profits: Evidence on the Irrelevance of Characteristics," Review of Finance, European Finance Association, vol. 17(2), pages 809-845.
    20. Cooper, Michael J. & Gubellini, Stefano, 2011. "The critical role of conditioning information in determining if value is really riskier than growth," Journal of Empirical Finance, Elsevier, vol. 18(2), pages 289-305, March.

    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:applec:v:47:y:2015:i:3:p:288-301. 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/RAEC20 .

    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.