Christophe, Faugere (2003): A Required Yield Theory of Stock Market Valuation and Treasury Yield Determination. Forthcoming in:
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Stock market valuation and Treasury yield determination are consistent with the Fisher effect (1896) as generalized by Darby (1975) and Feldstein (1976). The U.S. stock market (S&P 500) is priced to yield ex-ante a real after-tax return directly related to real long-term GDP/capita growth (the required yield). Elements of our theory show that: 1) real after-tax Treasury and S&P 500 forward earnings yields are stationary processes around positive means; 2) the stock market is indeed priced as the present value of expected dividends with the proviso that investors are expecting fast mean reversion of the S&P 500 nominal growth opportunities to zero. Moreover, 3) the equity premium is mostly due to business cycle risk and is a direct function of below trend expected productivity, where productivity is measured by the growth in book value of S&P 500 equity per-share. Inflation and fear-based risk premia only have a secondary impact on the premium. The premium is always positive or zero with respect to long-term Treasuries. It may be negative for short-term Treasuries when short-term productivity outpaces medium and long run trends. Consequently: 4) Treasury yields are mostly determined in reference to the required yield and the business cycle risk premium; 5) the yield spread is largely explained by the differential of long-term book value per share growth vs. near term growth, with possible yield curve inversions. Finally, 7) the Fed model is partially validated since both the S&P 500 forward earnings yield and the ten-year Treasury yield are determined by a common factor: the required yield.
|Item Type:||MPRA Paper|
|Original Title:||A Required Yield Theory of Stock Market Valuation and Treasury Yield Determination|
|Keywords:||Fisher Effect, Required Yield, Earnings Yield, Equity Premium, S&P 500 Valuation, Fed Model, Treasury Yields, Yield Spread, Productivity, and Book Value of Equity per Share Growth.|
|Subjects:||G - Financial Economics > G1 - General Financial Markets > G12 - Asset Pricing; Trading volume; Bond Interest Rates|
|Depositing User:||Christophe Faugere|
|Date Deposited:||09. Jun 2009 14:23|
|Last Modified:||13. Feb 2013 11:46|
Allen, Franklin and Roni Michaely, 2003, “Payout Policy,” North Holland Handbook of Economics, edited by George Constantinides, Milton Harris, and Rene Stulz (Amsterdam, Elsevier-North Holland).
Ang, Andrew and Monika Piazzesi, 2003, “A No-Arbitrage Vector Autoregression of Term Structure Dynamics with Macroeconomic and Latent Variables,” Journal of Monetary Economics, 50 (4): 745–87.
Arnott, Robert D. and Peter L. Bernstein, 2003, “Surprise! Higher Dividends = Higher Earnings Growth,” Financial Analysts Journal, 59 (1) (January/February): 70-87.
Asness, Clifford S., 2000, “Stocks versus Bonds: Explaining the Equity Risk Premium,” Financial Analysts Journal, 56 (2) (March/April): 96-113.
Asness, Clifford S., 2003, “Fight the Fed model,” Journal of Portfolio Management, Fall 2003: 11–24.
Auerbach, Alan J. and James Poterba, 1988, “Capital Gains Taxation in the United States: Realizations, Revenues, and Rethoric,” Brookings Papers on Economic Activity, 2: 595-637.
Bakshi, Gurdip and Zhiwu Chen, 2005, “Stock Valuation in Dynamic Economies,” Journal of Financial Markets, 8 (2): 111-151.
Balke, Nathan S. and Mark E. Wohar, 2002, “Low-Frequency Movements in Stock Prices: A State-Space Decomposition,” The Review of Economics and Statistics, 84 (4): 649-667.
Balvers, Ronald, Wu Yangru and Eric Gilliland, 2000, “Mean Reversion across National Stock Markets and Parametric Contrarian Investment Strategies,” The Journal of Finance, 55 (2): 745-772.
Bansal, Ravi, and Amir Yaron, 2004, “Risks for the Long-Run: A Potential Resolution of Asset Pricing Puzzles,” The Journal of Finance, 59 (4): 1481-1509.
Barsky, Robert B., and J. Bradford DeLong, 1993, “Bull and Bear Markets in the Twentieth Century,” Journal of Economic History, 50 (January): 265-281.
Barsky, Robert B. and Lawrence H. Summers, 1988, “Gibson’s Paradox and the Gold Standard,” Journal of Political Economy, 96 (3): 528-550.
Bodie, Zvi, 1976, “Common Stocks as a Hedge against Inflation,” The Journal of Finance, 31 (2): 459-470.
Boudoukh, Jacob, and Matthew Richardson, 1993, “Stock Returns and Inflation: A long-Horizon Perspective,” American Economic Review, 83 (5): 1346-1355.
Boudoukh, Jacob, Matthew Richardson and Robert F. Whitelaw, 1994, “Industry Returns and the Fisher Effect,” The Journal of Finance, 49 (5): 1595-1615.
Bradley, M., and S. Lumpkin, 1992, “The Treasury Yield Curve as a Cointegrated System,” Journal of Financial and Quantitative Analysis, 27: 449-463.
Brennan, Michael, 1970, “Taxes, Market Valuation and Corporate Financial Policy,” National Tax Journal, 23: 417-427.
Brennan, Michael, 1971, “A Note on Dividend Irrelevance and the Gordon Valuation Model,” The Journal of Finance, 26 (5): 1115-1121.
Burmeister, Edwin, Roll, Richard and Stephen A. Ross, 1994, Practitioner's Guide to Arbitrage Pricing Theory, in Institute of Chartered Financial Analysts, a Practitioner's Guide to Factor Models.
Campbell, John Y., and Robert J. Shiller, 1988a, “The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors,” Review of Financial Studies, 1: 195-228.
Campbell, John Y., and Robert J. Shiller, 1988b, “Stock Prices, Earnings, and Expected Dividends,” The Journal of Finance, 43: 661-676.
Campbell, John Y. and Tuomo Vuolteenaho, 2004, “Inflation Illusion and Stock Prices,” American Economic Review, 94 (2): 19-23.
Cochrane, John H., 1992, “Explaining the Variance of the Price-Dividend Ratio,” Review of Financial Studies, 5: 243-280.
Cox, John C., Jonathan E. Ingersoll and Stephen A. Ross, 1985, “A Theory of the Term Structure of Interest Rates,” Econometrica, 53: 385-407.
Darby, Michael R., 1975, “The Financial and Tax Effects of Monetary Policy on Interest Rates,” Economic Inquiry, 13: 266-276.
Dechow, Patricia, Amy Hutton, and Richard Sloan, 1997, “An Empirical Assessment of the Residual Income Valuation Model,” Working Paper, University of Michigan and Harvard University.
Devereux, M.P., Griffith R. and A. Klemm, 2002, “Corporate Income Tax Reforms and International Tax Competition,” Economic Policy, 35: 451-495.
Diermeier, Jeffery J., Roger G. Ibbotson, and Laurence B. Siegel, 1984, “The Supply of Capital Market Returns,” Financial Analysts Journal, March/April, 40 (2): 74-80.
Dimand, Robert W., 1999, “Irving Fisher and the Fisher Relation: Setting the Record Straight,” The Canadian Journal of Economics, 32 (3): 744-750.
Durham, J. Benson, 2006, “An Estimate of the Inflation Risk Premium Using a Three-Factor Affine Term Structure Model,” #2006-42, Washington: Division of Research & Statistics and Monetary Affairs, Federal Reserve Board.
Elton, Edwin J., 1999, “Expected Return, Realized Return, and Asset Pricing Tests,” The Journal of Finance, 54 (4): 1199-1220.
Estrada, Javier, 2006, “The Fed Model: A Note,” Finance Research Letters, 3: 14-22.
Estrella, Arturo and Jeffrey C. Fuhrer, 1983, “Average Marginal Tax Rates for U.S. Household Interest and Dividend Income,” NBER Working Paper No. 1201.
Estrella, Arturo and Frederic S. Mishkin, 1996, “The Yield Curve as a Predictor of U.S. Recessions,” FRBNY Current Issues in Economics and Finance, 2 (7).
Fabozzi, Frank J., 1997, The Handbook of Fixed Income Securities, Frank J. Fabozzi, editor, Irwin, Burr Ridge.
Fama, Eugene F., 1981, “Stock Returns, Real Activity, Inflation, and Money,” American Economic Review, 71: 545-565.
Fama, Eugene F., 1990, “Term Structure Forecasts of Interest Rates, Inflation and Real Returns,” Journal of Monetary Economics, 25: 59-76.
Fama, Eugene F. and William G. Schwert, 1977, “Asset Returns and Inflation,” Journal of Financial Economics, 5: 115-146.
Fama, Eugene F. and Kenneth R. French, 2000, “Forecasting Profitability and Earnings,” Journal of Business, 73 (2): 161-175.
Fama, Eugene F. and Kenneth R. French, 2002, “The Equity Premium,” The Journal of Finance, 57 (2): 637-659.
Faugère, Christophe and Julian Van Erlach, 2006, “The Equity Premium: Consistent with GDP Growth and Portfolio Insurance,” The Financial Review, 41 (4): 547-564.
Feldstein, Martin, 1976, “Inflation, Income Taxes and The Rate of Interest: A Theoretical Analysis,” American Economic Review, 66: 809-820.
Feldstein, Martin, 1980, “Inflation and the Stock Market,” American Economic Review, 70: 839-847.
Ferson, Wayne E. and Campbell R. Harvey, 1991, “The Variation of Economic Risk Premiums,” Journal of Political Economy, 99 (2): 385-415.
Fisher, Irving, 1896, Appreciation and Interest, (New York: Macmillan for the American Economic Association), as reprinted in Fisher (1997), vol. 1.
Fisher, Irving, 1930, The Theory of Interest, New York: Macmillan.
Fisher, Mark, 2001, “Forces that Shape the Yield Curve: Parts 1 and 2,” Federal Reserve Bank of Atlanta, Working Paper 2001-03, (March 2001).
Geske, Robert and Richard Roll, 1983, “The Fiscal and Monetary Linkage between Stock Returns and Inflation,” The Journal of Finance, 38 (1): 1-33.
Glassman, James K., and Kevin A. Hassett. 1999, Dow 36,000. New York: Random House.
Goetzmann, William N., and Roger G. Ibbotson, 2005, “History and the Equity Risk Premium,” Working Paper Yale School of Management.
Gordon, Myron, 1963, “Optimal Investment and Financing Policy,” The Journal of Finance, 18 (2): 264-272.
Grullon, Gustavo, Michaely, Rony and Bhaskaran Swaminathan, 2002, “Are Dividend Changes a Sign of Firm Maturity?” Journal of Business, 75 (3): 387-424.
Hamilton James D., 1994, Time Series Analysis, Princeton: Princeton University Press.
Harvey, Campbell R., 1989, “Forecasting Economic Growth with the Bond and Stock Markets,” Financial Analysts Journal, (September/October): 38-45.
Heath, David. Robert A. Jarrow and Andrew Morton, 1992, “Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation,” Econometrica, 60: 77-105.
Hotchkiss, E. and D. Strickland, 2003, “Shareholder Heterogeneity: Evidence From Corporate Earnings Announcements,” The Journal of Finance, 58: 1469-1498.
Ibbotson, Roger G. and Peng Chen, 2003, “Long Run Stock Returns: Participating in the Real Economy,” Financial Analysts Journal, 59 (1) (January/February): 88-98.
Kaldor, N., 1961, “Capital Accumulation and Economic Growth,” in F.A. Lutz and D. C. Hague, editors, The Theory of Capital, New York: St. Martin’s Press.
Kocherlakota, N. R., 1996, “The Equity Premium is Still a Puzzle,” Journal of Economic Literature, 34: 42-71.
Kozicki, Sharon, 1997, “Predicting Real Growth and Inflation With the Yield Spread,” Economic Review, Fourth Quarter, Federal Reserve Bank of Kansas City.
Jorgenson, Dale W. and Kun-Young Yun, 2001, Investment: Volume 3, Lifting the Burden: Tax Reform, the Cost of Capital, and U.S. Economic Growth. Cambridge, MA: MIT Press.
Lander, Joe, Orphanides, Athanasios and Martha Douvogiannis, 1997, “Earnings Forecasts and the Predictability of Stock Returns: Evidence from Trading the S&P,” Journal of Portfolio Management, 23: 24-35.
Lee, Charles M. C. and Bhaskaran Swaminathan, 1999, “Valuing the Dow: A Bottom-Up Approach,” Financial Analysts Journal, 55 (5): 4-23.
Lee, Charles M. C., James Myers and Bhaskaran Swaminathan, 1999, “What is the Intrinsic Value of the Dow: A Bottom-Up Approach,” The Journal of Finance, 54 (5): 1693-1741.
Lo, Andrew W. and A. Craig MacKinlay, 1988, “Stock Market Prices do not Follow Random Walks: Evidence from a Simple Specification Test,” Review of Financial Studies, 1: 41–66.
Longstaff, Francis A. and Monika Piazzesi, 2004, “Corporate Earnings and the Equity Premium”, Journal of Financial Economics, 74: 401-421.
Lucas, Robert E., 1978, “Asset Prices in an Exchange Economy,” Econometrica, 46: 1426-1446.
McGrattan, Ellen R. and Edward C. Prescott, 2000, “Is the Stock Market Overvalued?” Federal Reserve Bank of Minneapolis Quarterly Review, 24 (Fall): 20-40.
McGrattan, Ellen R. and Edward C. Prescott, 2001, “Taxes, Regulations, and Asset Prices,” Working Paper 610, Federal Reserve Bank of Minneapolis.
Mehra, Rajnish, and Edward C. Prescott, 1985, “The Equity Premium: A Puzzle,” Journal of Monetary Economics, 15 (2) (March): 145-161.
Mehra, Rajnish, 2003, “The Equity Premium: Why Is It Still a Puzzle?” Financial Analysts Journal, 59, (1) (January/February): 54-69.
Mehra, Yash P., 1996, “Monetary Policy and Long-Term Interest Rates,” Economic Quarterly, 82 (Summer 1996): 27-49.
Miller, Merton H. and Franco Modigliani, 1961, “Dividend Policy, Growth and the Valuation of Shares,” Journal of Business, 34: 411-433.
Mishkin, Frederic S., 1991, “A Multi-Country Study of the Information in the Shorter Maturity Term Structure about Future Inflation,” The Journal of International Money and Finance, 10: 2-22.
Modigliani, Franco, and Richard Sutch, 1966, “Innovations in Interest Rate Policy,” American Economic Review, 56 (1/2): 178–197.
Modigliani, Franco, and Richard A. Cohn, 1979, “Inflation, Rational Valuation and the Market,” Financial Analysts Journal, 35: 24-44.
Nelson, Charles R., 1976, “Inflation, and Rates of Return on Common Stocks,” The Journal of Finance, 31 (2): 471-483. Ohlson, James A., 1995, “Earnings, Book Values, and Dividends in Security Valuation,” Contemporary Accounting Research, 11: 661-687.
Ohlson, James A. and Beate E. Juettner-Nauroth, 2005, “Expected EPS and EPS Growth as Determinants of Value,” Review of Accounting Studies, 10 (2-3): 349-365.
Philips, Thomas K., 1999, “Why Do Valuation Ratios Forecast Long Run Equity Returns?” Journal of Portfolio Management, (Spring 1999): 39-44.
Prichett, Lant, 1997, “Divergence, Big Time,” Journal of Economic Perspectives, 11: 3-17.
Reilly, Frank K., Frank T. Griggs, and Wenchi Wong, 1983, “Determinants of the Aggregate Stock Market Earnings Multiple,” Journal of Portfolio Management, 10 (1): 36-46.
Reilly, Frank K. and Keith C. Brown, 2006, Investment Analysis and Portfolio Management, 8th ed. Mason, OH: Thomson-Southwestern.
Ritter, Jay R., 2001, “The Biggest Mistakes that We Teach,” Journal of Financial Research, 25: 159-168.
Ritter, Jay R. and Richard S. Warr, 2002, “The Decline of Inflation and the Bull Market of 1982 to 1999,” Journal of Financial and Quantitative Analysis, 37: 29-62.
Ritter, Jay R., 2005, “Economic Growth and Equity Returns,” Pacific Basin Finance Journal, 13 (5): 489-503.
Sharpe, Steven A., 1999, “Stock Prices, Expected Returns, and Inflation,” Washington: Board of Governors of the Federal Reserve System.
Sharpe, Steven A., 2001, “Reexamining Stock Valuation and Inflation: The Implications of Analysts’ Earnings Forecasts,” The Review of Economics and Statistics, 84 (4): 632-648.
Shen, Pu, 1998, “How Important is the Inflation Risk Premium?” Economic Review, Fourth Quarter, Federal Reserve Bank of Kansas City.
Shen, Pu, 2005, “How Long is a Long-Term Investment?” Economic Review, First Quarter, Federal Reserve Bank of Kansas City.
Shiller, Robert J., 1981, “Do Stock Prices Move Too Much to be Justified by Subsequent Changes in Dividends?” The American Economic Review, 71 (3): 421-436.
Siegel, Jeremy J., 1999, “The Shrinking Equity Premium,” Journal of Portfolio Management, 26 (1): 10-17.
Siegel, Jeremy J., 2002, Stocks for the Long Run, New York: Third Edition, McGraw-Hill.
Joel Slemrod and Jon Bakija, 1996, Taxing Ourselves: A Citizen's Guide to the Great Debate over Tax Reform, Cambridge, Mass.: MIT Press.
Stokey, Nancy L. and Sergio Rebelo, 1995, “Growth Effects of Flat-Rate Taxes,” Journal of Political Economy, 103 (3): 519-550.
Tatom, John A., 2002, “Stock Prices, Inflation and Monetary Policy,” Business Economics, (October 2002): 7-19.
Thies, Clifford F., 1986, “Business Price Expectations: 1947-1983,” Journal of Money, Credit and Banking, 18 (3): 336-354.
Thomas, Jacob, 2005, “Price Equals Forward Earnings Scaled by the Risk-Free Rate: The Implications of This Remarkable Empirical Regularity,” Working Paper, Yale University School of Management.
Vasicek, Oldrich, 1977, “An Equilibrium Characterization of the Term Structure,” Journal of Financial Economics, 5: 177-188.
Walters, James E., 1963, “Dividend Policy: Its Influence on the Value of Enterprise,” The Journal of Finance, 18 (2): 280-291.
Weigand, Robert A. and Robert Irons, 2007, “The Market P/E ratio, Earnings Trends and Stock Return Forecasts,” Journal of Portfolio Management, 33 (Summer 2007): 87-101.
Williams, John Burr, 1938, The Theory of Investment Value, Harvard University Press, Cambridge.
Yardeni, Edward, 2002, “Stock Valuation Models,” Prudential Financial Research, Topical Study #56 (August 8th).