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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.

Suggested Citation

  • 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. Wong, Wing-Keung & Li, Chi-Kwong, 1999. "A note on convex stochastic dominance," Economics Letters, Elsevier, vol. 62(3), pages 293-300, March.
    2. 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.
    3. 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.
    4. Wing-Keung Wong & Robert B. Miller & Keshab Shrestha, 2002. "Maximum Likelihood Estimation of ARMA Model with Error Processes for Replicated Observations," Departmental Working Papers wp0217, National University of Singapore, Department of Economics.
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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. repec:gam:jjrfmx:v:11:y:2017:i:1:p:3-:d:124691 is not listed on IDEAS
    4. 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.
    5. 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.
    6. Wing-Keung Wong & Aman Agarwal & Jun Du, 2005. "Financial Integration for India Stock Market, a Fractional Cointegration Approach," Departmental Working Papers wp0501, National University of Singapore, Department of Economics.
    7. 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, Review of Applied Economics, vol. 1(2).
    8. Jung Hur & Kang Changhui, 2007. "School Systems and Efficiency and Equity of Education," Departmental Working Papers wp0701, National University of Singapore, Department of Economics.
    9. Wong Keung-Wing & Habibullah Khan & Jun Du, 2006. "Money, Interest Rate and Stock Prices: New Evidence from Singapore and The United States," Departmental Working Papers wp0601, National University of Singapore, Department of Economics.
    10. 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.
    11. 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.
    12. repec:eee:ecofin:v:42:y:2017:i:c:p:346-358 is not listed on IDEAS
    13. Wong, Wing-Keung & McAleer, Michael, 2009. "Mapping the Presidential Election Cycle in US stock markets," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(11), pages 3267-3277.
    14. 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.
    15. 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.
    16. Wing-Keung Wong & Guorui Bian, 2005. "Robust Estimation of Multiple Regression Model with asymmetric innovations and Its Applicability on Asset Pricing Model," Departmental Working Papers wp0508, National University of Singapore, Department of Economics.
    17. 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.
    18. Chia-Lin Chang & Michael McAleer & Wing-Keung Wong, 2018. "Decision Sciences, Economics, Finance, Business, Computing, and Big Data: Connections," Tinbergen Institute Discussion Papers 18-024/III, Tinbergen Institute.
    19. Eric S. Fung & Kin Lam & Tak-Kuen Siu & Wing-Keung Wong, 2011. "A Pseudo-Bayesian Model for Stock Returns In Financial Crises," Journal of Risk and Financial Management, MDPI, Open Access Journal, vol. 4(1), pages 1-31, December.
    20. 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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