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On the estimation of cost of capital and its reliability

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  • Wing-keung Wong
  • Raymond Chan

Abstract

Gordon and Shapiro (1956 Management Sci. 10 102-10) first equated the price of a share with the present value of future dividends and derived the well known relationship. Since then, there have been many improvements on the theory. For example, Thompson (1985 Managerial Decis. Economics 6 132-40, 1987 Managerial Decis. Economics 8 321-32) combined the 'dividend yield plus growth' method with Box-Jenkins time series analysis of past dividend experience to estimate the cost of capital and its 'reliability' for individual firms. Thompson and Wong (1991 Managerial Decis. Economics 12 27-42, 1996 Eng. Economist 41 123-47) proved the existence and uniqueness of the cost of capital and provided a formula to estimate both the cost of capital and its reliability. However, their approaches cannot be used if the 'reliability' does not exist or if there are multiple solutions for the 'reliability'. In this paper, we extend their theory by proving the existence and uniqueness of this reliability. In addition, we propose estimators for the reliability and prove that the estimators converge to a true parameter. The estimation approach is further simplified, hence rendering computation easier. In addition, the properties of the cost of capital and its reliability will be analysed with illustrations of several commonly used Box-Jenkins models.

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  • Wing-keung Wong & Raymond Chan, 2004. "On the estimation of cost of capital and its reliability," Quantitative Finance, Taylor & Francis Journals, vol. 4(3), pages 365-372.
    • Handle: RePEc:taf:quantf:v:4:y:2004:i:3:p:365-372
    DOI: 10.1088/1469-7688/4/3/011
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    References listed on IDEAS

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    1. Myron J. Gordon & Eli Shapiro, 1956. "Capital Equipment Analysis: The Required Rate of Profit," Management Science, INFORMS, vol. 3(1), pages 102-110, October.
    2. Wing-Keung Wong & Boon-Kiat Chew & Douglas Sikorsk, 2001. "Can the Forecasts Generated from E/P Ratio and Bond Yield be Used to Beat Stock Markets?," Multinational Finance Journal, Multinational Finance Journal, vol. 5(1), pages 59-86, March.
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    5. Wing-Keung Wong & Meher Manzur & Boon-Kiat Chew, 2003. "How rewarding is technical analysis? Evidence from Singapore stock market," Applied Financial Economics, Taylor & Francis Journals, vol. 13(7), pages 543-551.
    6. Meher Manzur & Wing-Keung Wong & Inn-Chau Chee, 1999. "Measuring international competitiveness: experience from East Asia," Applied Economics, Taylor & Francis Journals, vol. 31(11), pages 1383-1391.
    7. Howard E. Thompson, 1979. "Estimating the Cost of Equity Capital for Electric Utilities: 1958-1976," Bell Journal of Economics, The RAND Corporation, vol. 10(2), pages 619-635, Autumn.
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    9. Wong, Wing-Keung & Li, Chi-Kwong, 1999. "A note on convex stochastic dominance," Economics Letters, Elsevier, vol. 62(3), pages 293-300, March.
    10. Ella Mae Matsumura & Kam†Wah Tsui & Wing†Keung Wong, 1990. "An extended multinomial†Dirichlet model for error bounds for dollar†unit sampling," Contemporary Accounting Research, John Wiley & Sons, vol. 6(2), pages 485-500, March.
    11. Henry Wan Jr & Wing‐Keung Wong, 2001. "Contagion or Inductance? Crisis 1997 Reconsidered," The Japanese Economic Review, Japanese Economic Association, vol. 52(4), pages 372-381, December.
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    Cited by:

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    3. Egozcue, Martin & Wong, Wing-Keung, 2010. "Gains from diversification on convex combinations: A majorization and stochastic dominance approach," European Journal of Operational Research, Elsevier, vol. 200(3), pages 893-900, February.
    4. GUORUI BIAN & MICHAEL McALEER & WING-KEUNG WONG, 2013. "Robust Estimation And Forecasting Of The Capital Asset Pricing Model," Annals of Financial Economics (AFE), World Scientific Publishing Co. Pte. Ltd., vol. 8(02), pages 1-18.
    5. Kai-Yin Woo & Chulin Mai & Michael McAleer & Wing-Keung Wong, 2020. "Review on Efficiency and Anomalies in Stock Markets," Economies, MDPI, vol. 8(1), pages 1-51, March.
    6. Wong, Wing-Keung & Du, Jun & Chong, Terence Tai-Leung, 2005. "Do the technical indicators reward chartists? A study on the stock markets of China, Hong Kong and Taiwan," Review of Applied Economics, Lincoln University, Department of Financial and Business Systems, vol. 1(2), pages 1-23.
    7. Tai-Yuen Hon & Massoud Moslehpour & Kai-Yin Woo, 2021. "Review on Behavioral Finance with Empirical Evidence," Advances in Decision Sciences, Asia University, Taiwan, vol. 25(4), pages 15-41, December.
    8. Guo, Xu & McAleer, Michael & Wong, Wing-Keung & Zhu, Lixing, 2017. "A Bayesian approach to excess volatility, short-term underreaction and long-term overreaction during financial crises," The North American Journal of Economics and Finance, Elsevier, vol. 42(C), pages 346-358.
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    10. Chia-Lin Chang & Michael McAleer & Wing-Keung Wong, 2018. "Big Data, Computational Science, Economics, Finance, Marketing, Management, and Psychology: Connections," JRFM, MDPI, vol. 11(1), pages 1-29, March.
    11. Chia-Lin Chang & Michael McAleer & Wing-Keung Wong, 2018. "Decision Sciences, Economics, Finance, Business, Computing, And Big Data: Connections," Advances in Decision Sciences, Asia University, Taiwan, vol. 22(1), pages 36-94, December.
    12. Kim-Hung Pho & Tuan-Kiet Tran & Thi Diem-Chinh Ho & Wing-Keung Wong, 2019. "Optimal Solution Techniques in Decision Sciences A Review," Advances in Decision Sciences, Asia University, Taiwan, vol. 23(1), pages 114-161, March.
    13. Wing-Keung Wong & Guorui Bian, 2005. "Robust Estimation of Multiple Regression Model with Non-normal Error: Symmetric Distribution," Monash Economics Working Papers 09/05, Monash University, Department of Economics.
    14. Ngo Tung Hieu & Lam Minh Huy & Huynh Manh Phat & Nguyen Ngoc Phuong Anh & Wing-Keung Wong, 2020. "Decision Sciences in Education: The STEMtech Model to Create Stem Products at High Schools in Vietnam," Advances in Decision Sciences, Asia University, Taiwan, vol. 24(2), pages 15-65, June.
    15. Chang, C-L. & McAleer, M.J. & Wong, W.-K., 2018. "Decision Sciences, Economics, Finance, Business, Computing, and Big Data: Connections," Econometric Institute Research Papers 18-024/III, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    16. Eric S. Fung & Kin Lam & Tak-Kuen Siu & Wing-Keung Wong, 2011. "A Pseudo-Bayesian Model for Stock Returns In Financial Crises," JRFM, MDPI, vol. 4(1), pages 1-31, December.
    17. Wong, Wing-Keung & Bian, Guorui, 2005. "Estimating parameters in autoregressive models with asymmetric innovations," Statistics & Probability Letters, Elsevier, vol. 71(1), pages 61-70, January.
    18. Wong, Wing-Keung & Du, Jun & Chong, Terence Tai-Leung, 2005. "Do the technical indicators reward chartists? A study on the stock markets of China, Hong Kong and Taiwan," Review of Applied Economics, Lincoln University, Department of Financial and Business Systems, vol. 1(2), pages 1-23.
    19. Guo, Xu & Lam, Kin & Wong, Wing-Keung & Zhu, Lixing, 2012. "A New Pseudo-Bayesian Model of Investors' Behavior in Financial Crises," MPRA Paper 42535, University Library of Munich, Germany.
    20. Ngo Tung Hieu & Lam Minh Huy & Huynh Manh Phat & Nguyen Ngoc Phuong Anh & Wing-Keung Wong, 2020. "Decision Sciences in Education: The STEMtech Model to Create Stem Products at High Schools in Vietnam," Advances in Decision Sciences, Asia University, Taiwan, vol. 24(2), pages 15-65, June.
    21. Shih-Cheng Lee & Chien-Ting Lin & Min-Teh Yu, 2013. "A fractional cointegration approach to testing the Ohlson accounting based valuation model," Review of Quantitative Finance and Accounting, Springer, vol. 41(3), pages 535-547, October.
    22. Kim-Hung Pho & Thi Diem-Chinh Ho & Tuan-Kiet Tran & Wing-Keung Wong, 2019. "Moment Generating Function, Expectation And Variance Of Ubiquitous Distributions With Applications In Decision Sciences: A Review," Advances in Decision Sciences, Asia University, Taiwan, vol. 23(2), pages 65-150, June.
    23. Wing-Keung Wong & Aman Agarwal & Nee-Tat Wong, 2006. "The Disappearing Calendar Anomalies in the Singapore Stock Market," Lahore Journal of Economics, Department of Economics, The Lahore School of Economics, vol. 11(2), pages 123-139, Jul-Dec.
    24. Chia-Lin Chang & Michael McAleer & Wing-Keung Wong, 2018. "Big Data, Computational Science, Economics, Finance, Marketing, Management, and Psychology: Connections," Journal of Risk and Financial Management, MDPI, Open Access Journal, vol. 11(1), pages 1-29, March.
    25. Lam, Kin & Liu, Taisheng & Wong, Wing-Keung, 2010. "A pseudo-Bayesian model in financial decision making with implications to market volatility, under- and overreaction," European Journal of Operational Research, Elsevier, vol. 203(1), pages 166-175, May.

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