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The Estimation of Banks’ Cost of Capital through the Capital at Risk Model: An Empirical Investigation across European Banks

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Bank Risk, Governance and Regulation

Abstract

Valuing banks is one of the most difficult issues to deal with in corporate finance, and the enduring turmoil which has characterized the aftermath of the financial crisis of 2007 has made it even more complicated (Damodaran, 2013). All the recent academic contributions on the topic (among others: Koller et al., 2010; Damodaran, 2013; Massari et al., 2014) have highlighted that valuation of financial institutions requires an equity-side approach and, consequently, an estimation of the cost of equity instead of weighted average cost of capital.

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References

  • Admati, A.R., P.M. De Marzo, M.E Hellwig and P. Pfleiderer (2010) ‘Fallacies, irrelevant facts, and myths in the discussion of capital regulation: Why bank equity is not expensive’, Rock Center for Corporate Governance at Stanford University.

    Google Scholar 

  • Admati, A.R., P.M. De Marzo, M.R Hellwig, P. Pfleiderer (2012) ‘Debt overhang and capital regulation’, Rock Center for Corporate Governance at Stanford University.

    Google Scholar 

  • Ang, A., R.J. Hodrick, J. Xing and X. Zhang (2006) ‘The Cross-Section of Volatility and Expected Returns, Journal of Finance, 61(1): 259–99.

    Article  Google Scholar 

  • Avramov, D., T. Chordia, G. Jostova and A. Philipov (2009) ‘Credit ratings and the cross-section of stock returns’, Journal of Financial Markets, 12(3): 469–99.

    Article  Google Scholar 

  • Baker, M. and J. Wurgler (2013) ‘Do strict capital requirements raise the cost of capital? Banking regulation and the low risk anomaly’. Working Paper 19018, National Bureau of Economic Research.

    Book  Google Scholar 

  • Bali, T. and N. Caciki (2008) ‘Idiosyncratic Volatility and the Cross-Section of Expected Returns’, Journal of Financial and Quantitative Analysis, 43(1): 29–58.

    Article  Google Scholar 

  • Barber, B.M. and T. Odean (2000) ‘Trading is hazardous to your wealth: The common stock investment performance of individual investors’, Journal of Finance, 55(2): 773–806.

    Article  Google Scholar 

  • Barnartzi, S. and R.H. Thaler (2001), ‘Naïve diversification strategies in defined contribution saving plan’, American Economic Review, 91(1): 79–98.

    Article  Google Scholar 

  • Barnes, M.L. and J.A. Lopez (2006) ‘Alternative measures of the Federal Reserve Banks’ cost of equity capital’, Journal of Banking and Finance, 30(6): 1687–1711.

    Article  Google Scholar 

  • Beltrame, R, R. Cappelletto and G. Toniolo (2014) ‘Estimating SMES Cost of Equity Capital Using a Value at Risk Approach — The Capital at Risk Model’, Palgrave Macmillan.

    Google Scholar 

  • Beltratti, A. and G. Paladino (2013) ‘Why do banks optimize risk weights? The relevance of the cost of equity capital’, Working Paper 7/13 CAREFIN, Bocconi University, Milan.

    Google Scholar 

  • Black, R and M. Scholes (1973) ‘The Pricing of Options and Corporate Liability’, Journal of Political Economy, 81(3): 637–59.

    Article  Google Scholar 

  • Blume, M.E. and I. Friend (1975) ‘The Asset Structure of Individual Portfolios and Some Implications’, Working Paper, University of Pennsylvania, Philadelphia.

    Google Scholar 

  • Brockman, P., M.G. Schutte and W. Yu (2009) ‘Is Idiosyncratic Risk Priced? The International Evidence, Working Paper, Michigan Tech University.

    Google Scholar 

  • Bruner, R.R, K.M. Eades, R.S. Harris, R.C. Higgins (1998) ‘Best practices in estimating the cost of capital: Survey and synthesis’, Financial Practice and Education, 8(1): 13–28.

    Google Scholar 

  • Calem, P. and R. Rob (1999) ‘The Impact of Capital-Based Regulation on Bank Risk-Taking’, Journal of Financial Intermediation, 8(4): 317–52.

    Article  Google Scholar 

  • Calvet, L.E., J.Y. Campbell, P. Sodini (2007) ‘Down or Out: Assessing the Welfare Costs of Household Investment Mistakes’, Journal of Political Economy, 115(5): 707–47.

    Article  Google Scholar 

  • Campbell, J., J. Hilscher and J. Szilagyi (2007), In Search of Distress-risk, Journal of Finance, 63(6): 2899–939.

    Article  Google Scholar 

  • Chava, S. and A. Purnanandam (2010) ‘Is Default risk Negatively related to Stock Returns?’, Review of Financial Studies, 23(6): 2523–59.

    Article  Google Scholar 

  • Chen, H. and Z. Gao (2010) ‘Value-at-Risk disclosure and cost of equity capital’, Global Economy and Finance Journal, 3(2): 61–75.

    Google Scholar 

  • Choi, D., (2009) ‘Omitted Markets, Idiosyncratic Risk, and the Cross-Section of Stock Returns’, Working Paper, Hong Kong University of Science and Technology.

    Google Scholar 

  • Choi, J. and M. Richardson (2008) ‘The Volatility of the Firm’s Assets’, AFA 2010 Atlanta Meeting paper.

    Google Scholar 

  • Claus, J. and J. Thomas (2001) ‘Equity risk premium as low as three percent? Evidence from analysts’ earnings forecasts for domestic and international stocks’, Journal of Finance, 56(5): 1629–66.

    Article  Google Scholar 

  • Damodaran, A. (2013) ‘Valuing financial service firms, Journal of Financial Perspectives, 1(1): 59–74.

    Google Scholar 

  • Diamond, W.D. and R.E. Verrecchia (1991) ‘Disclosure, liquidity and the cost of equity capital’, Journal of Finance, 46(4): 1325–60.

    Article  Google Scholar 

  • Dichev, I. (1998) ‘Is the Risk of Bankruptcy a Systematic Risk?’, Journal of Finance, 53(3): 1131–47.

    Article  Google Scholar 

  • Dichev, I. D. and J.D. Piotroski (2001) ‘The Long-Run Stock Returns Following Bond Rating Changes’, Journal of Finance, 56(1): 173–203.

    Article  Google Scholar 

  • Diether, K., C. Malloy and A. Scherbina (2002) ‘Differences of opinion and the cross section of stock returns’, Journal of Finance, 57(5): 2113–41.

    Article  Google Scholar 

  • Easton, P. (2004) ‘PE ratios, PEG ratios, and estimating the implied expected rate of return on equity capital’, Fhe Accounting Review, 79(1): 73–95.

    Article  Google Scholar 

  • Easton, P. (2009) ‘Estimating the cost of capital implied by market prices and accounting data’, Foundations and Trends in Accounting, 2(4): 241–364.

    Article  Google Scholar 

  • Easton, P. and S. Monahan (2005) ‘An evaluation of accounting-based measures of expected returns’, Fhe Accounting Review, 80(2): 501–38.

    Article  Google Scholar 

  • Easton, P. and G. Sommers (2007) ‘Effect of analysts’ optimism on estimates of the expected rate of return implied by earnings forecasts’, Journal of Accounting Research, 45(5): 983–1015.

    Article  Google Scholar 

  • Elton, J. (1999) ‘Expected return, realized return, and asset pricing tests’, Journal of Finance, 54(4): 1199–1220.

    Article  Google Scholar 

  • Fama, E. and K. French (1992) ‘The cross-section of expected stock returns’, Journal of Finance, 47(2): 427–65.

    Article  Google Scholar 

  • Fama, E. and K. French (1993) ‘Common risk factors in the returns on stocks and bonds’, Journal of Financial Economics, 33(1): 3–56.

    Article  Google Scholar 

  • Fama, E. and K. French (1997) ‘Industry cost of equity’, Journal of Financial Economics, 43(2): 153–93.

    Article  Google Scholar 

  • Fama, E. and K. French (2004) ‘The Capital Asset Pricing Model: Theory and evidence’, Journal of Economic Perspectives, 18(3): 25–46.

    Article  Google Scholar 

  • Fernandez, P. (2015) ‘CAPM: An Absurd Model (November 13, 2014)’. Available at SSRN: http://ssrn.com/abstract=2505597 or http://dx.doi.org/10.2139/ssrn.2505597

    Google Scholar 

  • Froot, K. and J. Frankel (1989) ‘Forward discount bias: Is it an exchange risk premium?’, Quarterly Journal of Economics, 104(1): 139–61.

    Article  Google Scholar 

  • Fu, F. (2009) ‘Idiosyncratic risk and the cross section of expected stock returns’, Journal of Financial Economics, 91(1): 24–37.

    Article  Google Scholar 

  • Fu, F. and M.G. Schutte (2010) ‘Investor Diversification and the Pricing of Idiosyncratic Risk, Working Paper, available at: http://ink.library.smu.edu.sg/cgi/viewcontent.cgi?article=4041&context=lkcsb_research

    Google Scholar 

  • Garlappi, L., T. Shu and H. Yan (2008) ‘Default risk, shareholder advantage, and stock returns’, Review of Financial Studies, 21(6): 2743–78.

    Article  Google Scholar 

  • Garlappi, L. and H. Yang (2011) ‘Financial Distress and the Cross-section of Equity Returns’, Journal of Finance, 66(3): 789–822.

    Article  Google Scholar 

  • Gebhardt, W., C. Lee and B. Swaminatham (2001) ‘Toward an implied cost of equity, Journal of Accounting Research, 39(1): 135–76.

    Google Scholar 

  • George, T.J. and C. Hwang (2010) ‘A resolution of the distress risk and leverage puzzles in the cross section of stock returns’, Journal of Financial Economics, 96(1): 56–79.

    Article  Google Scholar 

  • Gode, D. and P. Mohanram (2003) ‘Inferring the cost of equity using the Ohlson-Juettner model’, Review of Accounting Studies, 8(4): 399–431.

    Article  Google Scholar 

  • Goetzmann, W. and A. Kumar (2008) ‘Equity portfolio diversification’, Review of Finance, 12(3): 433–63.

    Article  Google Scholar 

  • Gordon, J. and M. Gordon (1997) ‘The finite horizon expected return model’, Financial Analysts Journal, 53(3): 52–61.

    Article  Google Scholar 

  • Graham, J.R. and C.R. Harvey (2001) ‘The theory and practice of corporate finance: Evidence from the field’, Journal of Financial Economics, 60(2): 187–243.

    Article  Google Scholar 

  • Green, E., J. A. Lopez and Z. Wang (2003) ‘Formulating the imputed cost of equity capital for priced services at Federal Reserve Bank’, Economic Policy Review, 9(3): 55–81.

    Google Scholar 

  • Grinblatt, M. and M. Keloharju (2001) ‘How Distance Language and Culture Influence Stockholdings and Trades, Journal of Finance, 56(3): 1053–73.

    Article  Google Scholar 

  • Hand, J.R.M., R.W. Holthausen and R.W. Leftwich (1992) ‘The Effect of Bond Rating Agency Announcements on Bond and Stock Prices’, Journal of Finance, 47(2): 733–52.

    Article  Google Scholar 

  • Hansen, B.E. (1995) ‘Rethinking the Univariate Approach to Unit Root Testing: Using Covariates to Increase Power’, Econometric Theory, 11(5): 1148–71.

    Article  Google Scholar 

  • Hirshleifer, D. (2001) ‘Investor psychology and asset pricing’, Journal of Finance, 56: 1533–97.

    Article  Google Scholar 

  • Holthausen, R.W. and R.W. Leftwich (1986) ‘The Effect of Bond Rating Changes on Common Stock Prices’, Journal of Financial Economics, 17(1): 57–89.

    Article  Google Scholar 

  • Hou, K., van Dijk, M.A. and Zhang, Y., (2012) ‘The implied cost of capital: A new approach’, Journal of Accounting Economics, 53(3): 504–26.

    Article  Google Scholar 

  • Kashyap, A.K., J.C. Stein and S. Hanson (2010) ‘An Analysis of the Impact of “Substantially Heightened” Capital Requirements on Large Financial Institutions’, Working Paper, available at: http://faculty.chicagobooth.edu/anil.kashyap/research /an_analysis_of_the_impact_of_substantially_heightened.pdf.

    Google Scholar 

  • Kelly, M. (1995) ‘All Their Eggs in One Basket: Portfolio Diversification of US Households’, Journal of Economic Behavior and Organization, 27(1): 87–96.

    Article  Google Scholar 

  • Kerins, F., J.K. Smith and R. Smith (2004) ‘Opportunity Cost of Capital for Venture Capital Investors and Entrepreneurs’, Journal of Financial and Quantitative Analysis, 39(02): 385–405.

    Article  Google Scholar 

  • King, M.R. (2009) ‘The cost of equity for global banks: A CAPM perspective from 1990 to 2009’, BIS Quarterly Review, 9: 59–73.

    Google Scholar 

  • Koller, T., M. Goedhart and D. Wessels (2010) ‘Valuation: measuring and managing the value of companies’, Mc Kinsey & Company, John Wiley & Sons, Inc, Hoboken, New Jersey

    Google Scholar 

  • Li, K.K. and P. Mohanram (2014) ‘Evaluation cross-sectional forecasting models for implied cost of capital’, Review of Accounting Studies, 19(3): 1152–85.

    Article  Google Scholar 

  • Lin, H.W. and M. McNichols (1998), ‘Underwriting relationships, analysts’ earnings forecasts and investment recommendations’, Journal of Accounting and Economics, 25(1): 101–27.

    Article  Google Scholar 

  • Lintner, J. (1965) ‘The Valuation of Risk Assets and the Selection of Risky Investments in Stock Portfolios and Capital Budgets’, Review of Economics and Statistics, 47(1): 13–37.

    Article  Google Scholar 

  • Maccario, A., A. Sironi and C. Zazzara (2002) ‘Is banks’ cost of equity different across countries? Evidence from the G10 countries major banks?’, SDA Bocconi Research Division Working Paper No. 02–77.

    Google Scholar 

  • Malkiel, B. and Y. Xu (2006) ‘Idiosyncratic Risk and Security Returns’, Working Paper, University of Texas.

    Google Scholar 

  • Masera, R. and G. Mazzoni (2013), ‘Cost of Equity, Enterprise Value and Capital Regulation of Banking Firms’, Working paper., available at: Available at SSRN: http://ssrn.com/abstract=2189295orhttp://dx.doi.org/10.2139/ssrn.2189295.

    Google Scholar 

  • Massari, M., G. Gianfrate and L. Zanetti (2014) ‘The valuation of financial companies’, John Wiley & Sons Ltd, The Atrium, Southern Gate, Chichester, West Sussex, United Kingdom.

    Google Scholar 

  • Meheran, H. and A. Thakor (2011), ‘Bank Capital and Value in the Cross-Section’, Review of Financial Studies, 24: 1019–67.

    Article  Google Scholar 

  • Merton, R.C. (1974) ‘On the Pricing of Corporate Debt: The Risk Structure of Interest Rates’, Journal of Finance, 29(2): 449–70.

    Google Scholar 

  • Merton, R.C. (1977) ‘An Analytic Derivation of the Cost of Deposit Insurance and Loan Guarantees — An application of modern option pricing theory’, Journal of Banking & Finance, 1(1): 3–11.

    Article  Google Scholar 

  • Miller, M.H. (1995) ‘Does the M&M Proposition Apply to Banks?’, Journal of Banking & Finance, vol. 19(3): 483–89.

    Article  Google Scholar 

  • Mitton, T. and K. Vorkink (2007) ‘Equilibrium Underdiversification and the Preference for Skewness’, Fhe Review of Financial Studies, 20(4): 1255–88.

    Article  Google Scholar 

  • Modigliani, F. and M. Miller (1958) ‘The cost of capital, corporate finance and theory of investment’, American Economic Review, 48(3): 261–97.

    Google Scholar 

  • Modigliani, F. and M. Miller (1963) ‘Corporate Income Taxes and the Cost of Capital: A Correction’, American Economic Review, 53(3): 433–43.

    Google Scholar 

  • Moez, K. and J.M. Sahut (2013) ‘Evaluation Cost of Venture Capital for Investors and Entrepreneurs in the French Market’, International Journal of Business, 18(1): 81–98.

    Google Scholar 

  • Mueller, E. (2008) ‘How does owners’ exposure to idiosyncratic risk influence the capital structure of private companies?’, Journal of Empirical Finance, 15(2): 185–98.

    Article  Google Scholar 

  • Odean, T. (1999) ‘Do Investors Trade Too Much?’, American Economic Review, 89(5): 1279–98.

    Article  Google Scholar 

  • Ohlson, J. and B. Juettner-Nauroth (2005) ‘Expected EPS and EPS growth as determinants of value, Review of Accounting Studies, 10(2–3): 349–65.

    Article  Google Scholar 

  • Oricchio, G. (2012) ‘Private Company Valuation-How credit risk reshaped equity markets and corporate finance valuation tools’, Palgrave Macmillan

    Google Scholar 

  • Palea, V. (2007) ‘The effects of the IAS/IFRS adoption in the European Union on the financial industry’, The European Union Review, 12(1–2): 57–90.

    Google Scholar 

  • Polkovnichenko, V. (2005) ‘Household Portfolio Diversification: A Case for Rank-Dependent Preferences’, Working Paper, University of Minnesota, Minneapolis.

    Google Scholar 

  • Reint, G. and H. Florian (2010) ‘The Determinants of Bank Capital Structure’, Review of Finance, 14: 587–622.

    Article  Google Scholar 

  • Roussanov, N. (2010) ‘Diversification and its Discontents: Idiosyncratic and Entrepreneurial Risk in the Quest for Social Status’, Journal of Finance, 65(5): 1755–88.

    Article  Google Scholar 

  • Sharpe, W.F. (1964) ‘Capital Asset Prices: A Theory of Market Equilibrium Under Conditions of Risk’, Journal of Finance, 19(3): 425–42.

    Google Scholar 

  • Sharpe, W.F. (1978) ‘Discussion’, Journal of Finance, 33(3): 917–20.

    Google Scholar 

  • Vassalou, M. and Y. Xing (2004) ‘Default Risk in Equity Returns’, Journal of Finance, 59(2): 831–68.

    Article  Google Scholar 

  • White, H. (1980) ‘A Heteroskedasticity-Consistent Covariance Matrix and a Direct Test for Heteroskedasticity’, Econometrica, 48(4): 817–38.

    Article  Google Scholar 

  • Yang, J. and K. Tsatsaronis (2012) ‘Bank stock returns, leverage and the business cycle’, BIS Quarterly Review, March, 45–59.

    Google Scholar 

  • Zeileis, A. (2004) ‘Econometric Computing with HC and HAC Covariance Matrix Estimators’, Journal of Statistical Software, 11(10): 1–17.

    Article  Google Scholar 

  • Zimmer, S.A. and N. McCauley (1991) ‘Bank cost of capital and international competition’, Federal Reserve Bank of New York, Quarterly Review, 15(3–4): 33–59.

    Google Scholar 

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© 2015 Federico Beltrame, Daniele Previtali and Luca Grassetti

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Beltrame, F., Previtali, D., Grassetti, L. (2015). The Estimation of Banks’ Cost of Capital through the Capital at Risk Model: An Empirical Investigation across European Banks. In: Beccalli, E., Poli, F. (eds) Bank Risk, Governance and Regulation. Palgrave Macmillan Studies in Banking and Financial Institutions. Palgrave Macmillan, London. https://doi.org/10.1057/9781137530943_2

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