Country Risk – Cost of Equity Measurement: Methodologies and Implications*
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Estimating the Expected Cost of Equity Capital Using Consensus Forecasts
A Service of Leibniz-Informationszentrum econstor Wirtschaft Leibniz Information Centre Make Your Publications Visible. zbw for Economics Gebhardt, Günther; Daske, Holger; Klein, Stefan Working Paper Estimating the Expected Cost of Equity Capital Using Consensus Forecasts Working Paper Series: Finance & Accounting, No. 124 Provided in Cooperation with: Faculty of Economics and Business Administration, Goethe University Frankfurt Suggested Citation: Gebhardt, Günther; Daske, Holger; Klein, Stefan (2004) : Estimating the Expected Cost of Equity Capital Using Consensus Forecasts, Working Paper Series: Finance & Accounting, No. 124, Johann Wolfgang Goethe-Universität Frankfurt am Main, Fachbereich Wirtschaftswissenschaften, Frankfurt a. M., http://nbn-resolving.de/urn:nbn:de:hebis:30-17728 This Version is available at: http://hdl.handle.net/10419/76950 Standard-Nutzungsbedingungen: Terms of use: Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen Documents in EconStor may be saved and copied for your Zwecken und zum Privatgebrauch gespeichert und kopiert werden. personal and scholarly purposes. Sie dürfen die Dokumente nicht für öffentliche oder kommerzielle You are not to copy documents for public or commercial Zwecke vervielfältigen, öffentlich ausstellen, öffentlich zugänglich purposes, to exhibit the documents publicly, to make them machen, vertreiben oder anderweitig nutzen. publicly available on the internet, or to distribute or otherwise use the documents in public. Sofern die Verfasser die Dokumente unter Open-Content-Lizenzen (insbesondere CC-Lizenzen) zur Verfügung gestellt haben sollten, If the documents have been made available under an Open gelten abweichend von diesen Nutzungsbedingungen die in der dort Content Licence (especially Creative Commons Licences), you genannten Lizenz gewährten Nutzungsrechte. may exercise further usage rights as specified in the indicated licence. -
Arbitrage Pricing Theory∗
ARBITRAGE PRICING THEORY∗ Gur Huberman Zhenyu Wang† August 15, 2005 Abstract Focusing on asset returns governed by a factor structure, the APT is a one-period model, in which preclusion of arbitrage over static portfolios of these assets leads to a linear relation between the expected return and its covariance with the factors. The APT, however, does not preclude arbitrage over dynamic portfolios. Consequently, applying the model to evaluate managed portfolios contradicts the no-arbitrage spirit of the model. An empirical test of the APT entails a procedure to identify features of the underlying factor structure rather than merely a collection of mean-variance efficient factor portfolios that satisfies the linear relation. Keywords: arbitrage; asset pricing model; factor model. ∗S. N. Durlauf and L. E. Blume, The New Palgrave Dictionary of Economics, forthcoming, Palgrave Macmillan, reproduced with permission of Palgrave Macmillan. This article is taken from the authors’ original manuscript and has not been reviewed or edited. The definitive published version of this extract may be found in the complete The New Palgrave Dictionary of Economics in print and online, forthcoming. †Huberman is at Columbia University. Wang is at the Federal Reserve Bank of New York and the McCombs School of Business in the University of Texas at Austin. The views stated here are those of the authors and do not necessarily reflect the views of the Federal Reserve Bank of New York or the Federal Reserve System. Introduction The Arbitrage Pricing Theory (APT) was developed primarily by Ross (1976a, 1976b). It is a one-period model in which every investor believes that the stochastic properties of returns of capital assets are consistent with a factor structure. -
The Cost of Equity Capital for Reits: an Examination of Three Asset-Pricing Models
MIT Center for Real Estate September, 2000 The Cost of Equity Capital for REITs: An Examination of Three Asset-Pricing Models David N. Connors Matthew L. Jackman Thesis, 2000 © Massachusetts Institute of Technology, 2000. This paper, in whole or in part, may not be cited, reproduced, or used in any other way without the written permission of the authors. Comments are welcome and should be directed to the attention of the authors. MIT Center for Real Estate, 77 Massachusetts Avenue, Building W31-310, Cambridge, MA, 02139-4307 (617-253-4373). THE COST OF EQUITY CAPITAL FOR REITS: AN EXAMINATION OF THREE ASSET-PRICING MODELS by David Neil Connors B.S. Finance, 1991 Bentley College and Matthew Laurence Jackman B.S.B.A. Finance, 1996 University of North Carolinaat Charlotte Submitted to the Department of Urban Studies and Planning in partial fulfillment of the requirements for the degree of MASTER OF SCIENCE IN REAL ESTATE DEVELOPMENT at the MASSACHUSETTS INSTITUTE OF TECHNOLOGY September 2000 © 2000 David N. Connors & Matthew L. Jackman. All Rights Reserved. The authors hereby grant to MIT permission to reproduce and to distribute publicly paper and electronic (\aopies of this thesis in whole or in part. Signature of Author: - T L- . v Department of Urban Studies and Planning August 1, 2000 Signature of Author: IN Department of Urban Studies and Planning August 1, 2000 Certified by: Blake Eagle Chairman, MIT Center for Real Estate Thesis Supervisor Certified by: / Jonathan Lewellen Professor of Finance, Sloan School of Management Thesis Supervisor -
Arbitrage Pricing Theory
Federal Reserve Bank of New York Staff Reports Arbitrage Pricing Theory Gur Huberman Zhenyu Wang Staff Report no. 216 August 2005 This paper presents preliminary findings and is being distributed to economists and other interested readers solely to stimulate discussion and elicit comments. The views expressed in the paper are those of the authors and are not necessarily reflective of views at the Federal Reserve Bank of New York or the Federal Reserve System. Any errors or omissions are the responsibility of the authors. Arbitrage Pricing Theory Gur Huberman and Zhenyu Wang Federal Reserve Bank of New York Staff Reports, no. 216 August 2005 JEL classification: G12 Abstract Focusing on capital asset returns governed by a factor structure, the Arbitrage Pricing Theory (APT) is a one-period model, in which preclusion of arbitrage over static portfolios of these assets leads to a linear relation between the expected return and its covariance with the factors. The APT, however, does not preclude arbitrage over dynamic portfolios. Consequently, applying the model to evaluate managed portfolios is contradictory to the no-arbitrage spirit of the model. An empirical test of the APT entails a procedure to identify features of the underlying factor structure rather than merely a collection of mean-variance efficient factor portfolios that satisfies the linear relation. Key words: arbitrage, asset pricing model, factor model Huberman: Columbia University Graduate School of Business (e-mail: [email protected]). Wang: Federal Reserve Bank of New York and University of Texas at Austin McCombs School of Business (e-mail: [email protected]). This review of the arbitrage pricing theory was written for the forthcoming second edition of The New Palgrave Dictionary of Economics, edited by Lawrence Blume and Steven Durlauf (London: Palgrave Macmillan). -
Perspectives on the Equity Risk Premium – Siegel
CFA Institute Perspectives on the Equity Risk Premium Author(s): Jeremy J. Siegel Source: Financial Analysts Journal, Vol. 61, No. 6 (Nov. - Dec., 2005), pp. 61-73 Published by: CFA Institute Stable URL: http://www.jstor.org/stable/4480715 Accessed: 04/03/2010 18:01 Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/page/info/about/policies/terms.jsp. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your personal, non-commercial use. Please contact the publisher regarding any further use of this work. Publisher contact information may be obtained at http://www.jstor.org/action/showPublisher?publisherCode=cfa. Each copy of any part of a JSTOR transmission must contain the same copyright notice that appears on the screen or printed page of such transmission. JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. CFA Institute is collaborating with JSTOR to digitize, preserve and extend access to Financial Analysts Journal. http://www.jstor.org FINANCIAL ANALYSTS JOURNAL v R ge Perspectives on the Equity Risk Premium JeremyJ. -
Issues in Estimating the Cost of Equity Capital John C
Forensic Analysis Thought Leadership Issues in Estimating the Cost of Equity Capital John C. Kirkland and Nicholas J. Henriquez In most forensic-related valuation analyses, one procedure that affects most valuations is the measurement of the present value discount rate. This discount rate analysis may affect the forensic-related valuation of private companies, business ownership interests, securities, and intangible assets. This discussion summarizes three models that analysts typically apply to estimate the cost of equity capital component of the present value discount rate: (1) the capital asset pricing model, (2) the modified capital asset pricing model, and (3) the build- up model. This discussion focuses on the cost of equity capital inputs that are often subject to a contrarian review in the forensic-related valuation. NTRODUCTION In other words, the discount rate is the required I rate of return to the investor for assuming the risk There are three generally accepted business valu- associated with a certain investment. The discount ation approaches: (1) the income approach, (2) rate reflects prevailing market conditions as of the the market approach, and (3) the asset-based valuation date, as well as the specific risk character- approach. Each generally accepted business val- istics of the subject business interest. uation approach encompasses several generally accepted business valuation methods. If the income available to the company’s total invested capital is the selected financial metric, An analyst should consider all generally accept- then the discount rate is typically measured as ed business valuation approaches and select the the weighted average cost of capital (“WACC”). approaches and methods best suited for the particu- Typically, the WACC is comprised of the after-tax lar analysis. -
3. Cost of Equity. Cost of Debt. WACC
Corporate Finance [120201-0345] 3. Cost of equity. Cost of Debt. WACC. Cash flows Forecasts Cash flows for equityholders Cash flows for and debtors equityholders Economic Value Value of capital Value of equity (equity and debt) - (for equity holders) traditional approach n FCFF CV(FCFF) n FCFE CV(FCFE) V = t + n V = t + n L ∑ + t + n E ∑ + t + n t=1 (1 R A ) (1 R A ) t=1 (1 R E ) (1 R E ) Required Rate of Return Weighted Avarage Cost of Cost of Equity Capital Interest Rate CAPITAL (Cost of Debt) Sharpe's ASSETS Model PRICING MODELS CREDIT RISK PRISING CAPM MODELS APT Default Probability Models Model BARRA and Credit Risk Premium Models other models (e.g. Merton Model) 1 Corporate Finance [120201-0345] 1.1 Cost of equity The cost of equity is equal to the return expected by stockholders. The cost of equity can be computed using the capital asset pricing model (CAPM) or the arbitrage pricing theory (APT) model. 1.1.1 Basic Return and Risk Concepts Return Simple rate of return The relative return , or percent return , for the same period (HPY, holding period yield) is − + + + = pt pt−1 d t = pt d t − = ∆p 1-t d t (1) rt 1 pt−1 pt−1 pt−1 Two different types of returns must be distinguished. An ex ante return is the uncertain return that an investor expects to get from an investment. The ex post or realized return is the certain return that an investor actually obtains from an investment. Investors make decisions on the benefits they expect from an investment. -
The Cost of Capital: the Swiss Army Knife of Finance
The Cost of Capital: The Swiss Army Knife of Finance Aswath Damodaran April 2016 Abstract There is no number in finance that is used in more places or in more contexts than the cost of capital. In corporate finance, it is the hurdle rate on investments, an optimizing tool for capital structure and a divining rod for dividends. In valuation, it plays the role of discount rate in discounted cash flow valuation and as a control variable, when pricing assets. Notwithstanding its wide use, or perhaps because of it, the cost of capital is also widely misunderstood, misestimated and misused. In this paper, I look at what the cost of capital is trying to measure and how best to avoid the pitfalls that I see in practice. What is the cost of capital? If you asked a dozen investors, managers or analysts this question, you are likely to get a dozen different answers. Some will describe it as the cost of raising funding for a business, from debt and equity. Others will argue that it is the hurdle rate used by businesses to determine whether to invest in new projects. A few may use it as a metric that drives whether to return cash, and if yes, how much to return to investors in dividends and stock buybacks. Many will point to it as the discount rate that is used when valuing an entire business and some may characterize it as an optimizing tool for the deciding on the right mix of debt and equity for a company. They are all right and that is the reason the cost of capital is the Swiss Army knife of Finance, much used and oftentimes misused. -
Nber Working Paper Series the Total Risk Premium
NBER WORKING PAPER SERIES THE TOTAL RISK PREMIUM PUZZLE Òscar Jordà Moritz Schularick Alan M. Taylor Working Paper 25653 http://www.nber.org/papers/w25653 NATIONAL BUREAU OF ECONOMIC RESEARCH 1050 Massachusetts Avenue Cambridge, MA 02138 March 2019 This work is part of a larger project kindly supported by research grants from the European Research Council (ERC) and the Institute for New Economic Thinking, and we are grateful for this support. We are particularly thankful to Johannes Matschke and Sarah Quincy for outstanding research assistance. We received helpful comments from Thomas Mertens. All errors are our own. The views expressed herein are solely the responsibility of the authors and should not be interpreted as reflecting the views of the Federal Reserve Bank of San Francisco, the Board of Governors of the Federal Reserve System, or the National Bureau of Economic Research. At least one co-author has disclosed a financial relationship of potential relevance for this research. Further information is available online at http://www.nber.org/papers/w25653.ack NBER working papers are circulated for discussion and comment purposes. They have not been peer-reviewed or been subject to the review by the NBER Board of Directors that accompanies official NBER publications. © 2019 by Òscar Jordà, Moritz Schularick, and Alan M. Taylor. All rights reserved. Short sections of text, not to exceed two paragraphs, may be quoted without explicit permission provided that full credit, including © notice, is given to the source. The Total Risk Premium Puzzle Òscar Jordà, Moritz Schularick, and Alan M. Taylor NBER Working Paper No. 25653 March 2019 JEL No. -
The Total Risk Premium Puzzle
FEDERAL RESERVE BANK OF SAN FRANCISCO WORKING PAPER SERIES The Total Risk Premium Puzzle Òscar Jordà Federal Reserve Bank of San Francisco University of California, Davis Moritz Schularick University of Bonn CEPR Alan M. Taylor University of California, Davis NBER CEPR March 2019 Working Paper 2019-10 https://www.frbsf.org/economic-research/publications/working-papers/2019/10/ Suggested citation: Jordà, Òscar, Moritz Schularick, Alan M. Taylor. 2019. “The Total Risk Premium Puzzle,” Federal Reserve Bank of San Francisco Working Paper 2019-10. https://doi.org/10.24148/wp2019-10 The views in this paper are solely the responsibility of the authors and should not be interpreted as reflecting the views of the Federal Reserve Bank of San Francisco or the Board of Governors of the Federal Reserve System. The Total Risk Premium Puzzle ? Oscar` Jorda` † Moritz Schularick ‡ Alan M. Taylor § March 2019 Abstract The risk premium puzzle is worse than you think. Using a new database for the U.S. and 15 other advanced economies from 1870 to the present that includes housing as well as equity returns (to capture the full risky capital portfolio of the representative agent), standard calculations using returns to total wealth and consumption show that: housing returns in the long run are comparable to those of equities, and yet housing returns have lower volatility and lower covariance with consumption growth than equities. The same applies to a weighted total-wealth portfolio, and over a range of horizons. As a result, the implied risk aversion parameters for housing wealth and total wealth are even larger than those for equities, often by a factor of 2 or more. -
Formulating the Imputed Cost of Equity Capital for Priced Services at Federal Reserve Banks
Edward J. Green, Jose A. Lopez, and Zhenyu Wang Formulating the Imputed Cost of Equity Capital for Priced Services at Federal Reserve Banks • To comply with the provisions of the Monetary 1. Introduction Control Act of 1980, the Federal Reserve devised a formula to estimate the cost of he Federal Reserve System provides services to depository equity capital for the District Banks’ priced Tfinancial institutions through the twelve Federal Reserve services. Banks. According to the Monetary Control Act of 1980, the Reserve Banks must price these services at levels that fully • In 2002, this formula was substantially revised recover their costs. The act specifically requires imputation of to reflect changes in industry accounting various costs that the Banks do not actually pay but would pay practices and applied financial economics. if they were commercial enterprises. Prominent among these imputed costs is the cost of capital. • The new formula, based on the findings of an The Federal Reserve promptly complied with the Monetary earlier study by Green, Lopez, and Wang, Control Act by adopting an imputation formula for the overall averages the estimated costs of equity capital cost of capital that combines imputations of debt and equity produced by three different models: the costs. In this formula—the private sector adjustment factor comparable accounting earnings method, the (PSAF)—the cost of capital is determined as an average of the discounted cash flow model, and the capital cost of capital for a sample of large U.S. bank holding asset pricing model. companies (BHCs). Specifically, the cost of capital is treated as a composite of debt and equity costs. -
Estimating Risk Parameters and Costs of Financing
1 CHAPTER 8 ESTIMATING RISK PARAMETERS AND COSTS OF FINANCING In the last chapter, we laid the groundwork for estimating the costs of equity and capital for firms by looking at how best to estimate a riskless rate that operates as a base for all costs, an equity risk premium for estimating the cost of equity and default spreads for estimating the cost of debt. We did not, however, consider how to estimate the risk parameters for individual firms. In this chapter, we will examine the process of estimating risk parameters for individual firms, both for estimating cost of equity and the cost of debt. For the cost of equity, we will look at the standard process of estimating the beta for a firm and consider alternative approaches. For the cost of debt, we will examine bond ratings as measures of default risk and the determinants of these ratings. We will close the chapter by bringing together the risk parameter estimates for individual firms and the economy-wide estimates of the riskfree rate and risk premia to estimate a cost of capital for the firm. To do this, we will argue that the sources of capital have to be weighted by their relative market values. The Cost of Equity and Capital Firms raise money from both equity investors and lenders to fund investments. Both groups of investors make their investments expecting to make a return. In chapter 4, we argued that the expected return for equity investors would include a premium for the equity risk in the investment. We label this expected return the cost of equity.