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Equity risk premium and time horizon: what do the U.S. secular data say?

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  • Georges Prat

    (Université Paris 10)

Abstract

We consider a representative investor whose wealth is made up of the equity market portfolio and the riskless asset, and who maximizes the expected utility of his/her future wealth for a given horizon. The solution of this program shows that the equilibrium value of the equity risk premium – the latter being measured by the difference between the expected equity portfolio return and the risk-free interest rate – is given by the product of the price of risk by the expected variance of stock returns. When returns are predictable, these two magnitudes are both time-varying and horizon-dependent. In accordance with this theoretical framework, our paper presents an econometric model of the equity risk premia for two traditional horizons: the one-period-ahead horizon (i.e. the ‘short-term’ premium) and the infinite-time horizon (i.e. the ‘long-term’ premium). Using annual US secular data from 1871 to 2008, and representing the expected returns by mixing the three traditional adaptive, extrapolative and regressive processes, large disparities in the dynamics of the two premia are evidenced. Concerning the determination of the equilibrium values of the two premia, the expected variances depend on the past values of the centered squared returns while the prices of risk (unobservable variables) are estimated according to the Kalman filter methodology, which enables us to capture the influence of hidden variables and of non-directly measurable psychological effects. A spread of interest rates adds to this determination. Possibly due to risky arbitrage and transaction costs, the results show that observed premia gradually converge towards their equilibrium values, this process being described by an error correction model. Overall, our model provides a rather satisfactory representation of ‘short-term’ and ‘long-term’ premia.

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Paper provided by Association Française de Cliométrie (AFC) in its series Working Papers with number 12-06.

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Length: 36 pages
Date of creation: 2012
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Handle: RePEc:afc:wpaper:12-06

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  1. Pástor, Luboš & Stambaugh, Robert F., 2009. "Are Stocks Really Less Volatile in the Long Run?," CEPR Discussion Papers 7199, C.E.P.R. Discussion Papers.
  2. Georges Prat, 1994. "La formation des anticipations boursières," Économie et Prévision, Programme National Persée, vol. 112(1), pages 101-125.
  3. Elroy Dimson & Paul Marsh & Mike Staunton, 2003. "Global Evidence On The Equity Risk Premium," Journal of Applied Corporate Finance, Morgan Stanley, vol. 15(4), pages 27-38.
  4. Dokko, Yoon & Edelstein, Robert H, 1989. "How Well Do Economists Forecast Stock Market Prices? A Study of the Livingston Surveys," American Economic Review, American Economic Association, vol. 79(4), pages 865-71, September.
  5. Eugene Fama & F. & Kenneth R. French, . "The Equity Premium."," CRSP working papers 522, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
  6. Nicholas Barberis, 2000. "Investing for the Long Run when Returns Are Predictable," Journal of Finance, American Finance Association, vol. 55(1), pages 225-264, 02.
  7. Lakonishok, Josef, 1980. " Stock Market Return Expectations: Some General Properties," Journal of Finance, American Finance Association, vol. 35(4), pages 921-31, September.
  8. Anderson, Heather M, 1997. "Transaction Costs and Non-linear Adjustment towards Equilibrium in the US Treasury Bill Market," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 59(4), pages 465-84, November.
  9. Shlomo Benartzi & Richard H. Thaler, 1993. "Myopic Loss Aversion and the Equity Premium Puzzle," NBER Working Papers 4369, National Bureau of Economic Research, Inc.
  10. Kryzanowski, Lawrence & Lalancette, Simon & To, Minh Chau, 1997. "Performance Attribution using an APT with Prespecified Macrofactors and Time-Varying Risk Premia and Betas," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 32(02), pages 205-224, June.
  11. repec:att:wimass:9621 is not listed on IDEAS
  12. Georges Prat, 2007. "Les comportements boursiers sont-ils eulériens?," Post-Print halshs-00172709, HAL.
  13. Goetzmann, William N. & Ibbotson, Roger G. & Peng, Liang, 2001. "A new historical database for the NYSE 1815 to 1925: Performance and predictability," Journal of Financial Markets, Elsevier, vol. 4(1), pages 1-32, January.
  14. Stephen G. Cecchetti & Pok-sang Lam & Nelson C. Mark, 1998. "Asset Pricing with Distorted Beliefs: Are Equity Returns Too Good To Be True?," NBER Working Papers 6354, National Bureau of Economic Research, Inc.
  15. Andrew W. Lo, A. Craig MacKinlay, 1988. "Stock Market Prices do not Follow Random Walks: Evidence from a Simple Specification Test," Review of Financial Studies, Society for Financial Studies, vol. 1(1), pages 41-66.
  16. Narayana R. Kocherlakota, 1996. "The Equity Premium: It's Still a Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(1), pages 42-71, March.
  17. Kandel, Shmuel & Stambaugh, Robert F, 1996. " On the Predictability of Stock Returns: An Asset-Allocation Perspective," Journal of Finance, American Finance Association, vol. 51(2), pages 385-424, June.
  18. Brown, Stephen J & Goetzmann, William N & Ross, Stephen A, 1995. " Survival," Journal of Finance, American Finance Association, vol. 50(3), pages 853-73, July.
  19. Ronald MacDonald & Patricia Fraser, 1993. "The Efficiency of CAC Stock Price Forecasts : a Survey Based Perspective," Revue économique, Presses de Sciences-Po, vol. 0(5), pages 991-1000.
  20. Brock, William A. & Hommes, Cars H., 1998. "Heterogeneous beliefs and routes to chaos in a simple asset pricing model," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1235-1274, August.
  21. Olan Henry, 2002. "Long memory in stock returns: some international evidence," Applied Financial Economics, Taylor & Francis Journals, vol. 12(10), pages 725-729.
  22. Ivo Welch, 2000. "Views of Financial Economists on the Equity Premium and on Professional Controversies," Yale School of Management Working Papers ysm122, Yale School of Management.
  23. Graham, John R. & Harvey, Campbell R., 2005. "The long-run equity risk premium," Finance Research Letters, Elsevier, vol. 2(4), pages 185-194, December.
  24. Peter Boswijk & Cars H. Hommes & Sebastiano Manzan, 2005. "Behavioral Heterogeneity in Stock Prices," Tinbergen Institute Discussion Papers 05-052/1, Tinbergen Institute.
  25. Shleifer, Andrei & Summers, Lawrence H, 1990. "The Noise Trader Approach to Finance," Journal of Economic Perspectives, American Economic Association, vol. 4(2), pages 19-33, Spring.
  26. R. Mehra & E. Prescott, 2010. "The equity premium: a puzzle," Levine's Working Paper Archive 1401, David K. Levine.
  27. Kandel, Shmuel & Stambaugh, Robert F., 1991. "Asset returns and intertemporal preferences," Journal of Monetary Economics, Elsevier, vol. 27(1), pages 39-71, February.
  28. Lo, Andrew W, 1991. "Long-Term Memory in Stock Market Prices," Econometrica, Econometric Society, vol. 59(5), pages 1279-313, September.
  29. James M. Poterba & Lawrence H. Summers, 1989. "Mean Reversion in Stock Prices: Evidence and Implications," NBER Working Papers 2343, National Bureau of Economic Research, Inc.
  30. Karsten Jeske, 2001. "Equity home bias: Can information cost explain the puzzle?," Economic Review, Federal Reserve Bank of Atlanta, issue Q3, pages 31-42.
  31. Ivo Welch, 2001. "The Equity Premium Consensus Forecast Revisited," Cowles Foundation Discussion Papers 1325, Cowles Foundation for Research in Economics, Yale University.
  32. De Santis, Giorgio & Gerard, Bruno, 1997. " International Asset Pricing and Portfolio Diversification with Time-Varying Risk," Journal of Finance, American Finance Association, vol. 52(5), pages 1881-1912, December.
  33. Bollerslev, Tim, 1987. "A Conditionally Heteroskedastic Time Series Model for Speculative Prices and Rates of Return," The Review of Economics and Statistics, MIT Press, vol. 69(3), pages 542-47, August.
  34. John R. Graham & Campbell R. Harvey, 2001. "Expectations of Equity Risk Premia, Volatility and Asymmetry from a Corporate Finance Perspective," NBER Working Papers 8678, National Bureau of Economic Research, Inc.
  35. Haitao Li & Yuewu Xu, 2002. "Survival Bias and the Equity Premium Puzzle," Journal of Finance, American Finance Association, vol. 57(5), pages 1981-1995, October.
  36. Asger Lunde & Peter R. Hansen, 2005. "A forecast comparison of volatility models: does anything beat a GARCH(1,1)?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(7), pages 873-889.
  37. Muller, Ulrich A. & Dacorogna, Michel M. & Dave, Rakhal D. & Olsen, Richard B. & Pictet, Olivier V. & von Weizsacker, Jacob E., 1997. "Volatilities of different time resolutions -- Analyzing the dynamics of market components," Journal of Empirical Finance, Elsevier, vol. 4(2-3), pages 213-239, June.
  38. Philippe Jorion, 2003. "The Long-Term Risks of Global Stock Markets," Financial Management, Financial Management Association, vol. 32(4), Winter.
  39. Taylor, Mark P, 1988. "What Do Investment Managers Know? An Empirical Study of Practitioners' Predictions," Economica, London School of Economics and Political Science, vol. 55(218), pages 185-202, May.
  40. Koutmos, Gregory & Knif, Johan & Philippatos, George C., 2008. "Modeling common volatility characteristics and dynamic risk premia in European equity markets," The Quarterly Review of Economics and Finance, Elsevier, vol. 48(3), pages 567-578, August.
  41. Samuelson, Paul A, 1969. "Lifetime Portfolio Selection by Dynamic Stochastic Programming," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 239-46, August.
  42. G. Andrew Karolyi & Rene M. Stulz, 2002. "Are Financial Assets Priced Locally or Globally?," NBER Working Papers 8994, National Bureau of Economic Research, Inc.
  43. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-57, August.
  44. Pye, Gordon, 1973. "Lifetime Portfolio Selection in Continuous Time for a Multiplicative Class of Utility Functions," American Economic Review, American Economic Association, vol. 63(5), pages 1013-16, December.
  45. Fernandez, Pablo, 2006. "Equity premium: Historical, expected, required and implied," IESE Research Papers D/661, IESE Business School.
  46. Shanken, Jay & Tamayo, Ane, 2012. "Payout yield, risk, and mispricing: A Bayesian analysis," Journal of Financial Economics, Elsevier, vol. 105(1), pages 131-152.
  47. Mikhail Anufriev & Giulio Bottazzi, 2004. "Asset Pricing Model with Heterogeneous Investment Horizons," LEM Papers Series 2004/22, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
  48. Jack W. Wilson, 2002. "An Analysis of the S&P 500 Index and Cowles's Extensions: Price Indexes and Stock Returns, 18701999," The Journal of Business, University of Chicago Press, vol. 75(3), pages 505-534, July.
  49. Pearce, Douglas K, 1984. "An Empirical Analysis of Expected Stock Price Movements," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 16(3), pages 317-27, August.
  50. Prat, Georges & Uctum, Remzi, 2013. "Modeling the horizon-dependent ex-ante risk premium in the foreign exchange market: Evidence from survey data," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 23(C), pages 33-54.
  51. French, Kenneth R. & Schwert, G. William & Stambaugh, Robert F., 1987. "Expected stock returns and volatility," Journal of Financial Economics, Elsevier, vol. 19(1), pages 3-29, September.
  52. Annaert, Jan & Buelens, Frans & Cuyvers, Ludo & De Ceuster, Marc & Deloof, Marc & De Schepper, Ann, 2011. "Are blue chip stock market indices good proxies for all-shares market indices? The case of the Brussels Stock Exchange 1833–2005," Financial History Review, Cambridge University Press, vol. 18(03), pages 277-308, December.
  53. Jeremy J. Siegel & Richard H. Thaler, 1997. "Anomalies: The Equity Premium Puzzle," Journal of Economic Perspectives, American Economic Association, vol. 11(1), pages 191-200, Winter.
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  1. The psychology of the equity risk premium
    by Economic Logician in Economic Logic on 2011-01-12 15:03:00
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Cited by:
  1. Al-Shboul, Mohammad & Anwar, Sajid, 2014. "Time-varying exchange rate exposure and exchange rate risk pricing in the Canadian Equity Market," Economic Modelling, Elsevier, vol. 37(C), pages 451-463.

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