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Equity risk premium: Expectations great and small. (English) Zbl 1085.91520

Summary: The equity risk premium (ERP) is an essential building block of the market value of risk. In theory, the collective action of all investors results in an equilibrium expectation for the return on the market portfolio excess of the risk-free return, the ERP. The ability of the valuation actuary to choose a sensible value for the ERP, whether as a required input to capital asset pricing model valuation, or any of its descendants, is as important as choosing risk-free rates and risk relatives (betas) to the ERP for the asset at hand.
The historical realized ERP for the stock market appears to be at odds with pricing theory parameters for risk aversion. Since 1985, there has been a constant stream of research, each of which reviews theories of estimating market returns, examines historical data periods, or both. Those ERP value estimates vary widely from about \(1\%\) to about \(9\%\), based on a geometric or arithmetic averaging, short or long horizons, short- or long-run expectations, unconditional or conditional distributions, domestic or international data, data periods, and real or nominal returns.
This paper examines the principal strains of the recent research on the ERP and catalogues the empirical values of the ERP implied by that research. In addition, the paper supplies several time series analyses of the standard Ibbotson Associates 1926-2002 ERP data using short Treasuries for the risk-free rate. Recommendations for ERP values to use in common actuarial valuation problems also are offered.

MSC:

91B30 Risk theory, insurance (MSC2010)
62P05 Applications of statistics to actuarial sciences and financial mathematics
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[1] Arnott Robert D., Financial Analysts Journal 58 (2) pp 64– (2002) · doi:10.2469/faj.v58.n2.2524
[2] Arnott Robert D., Journal of Portfolio Management 27 (3) pp 61– (2001) · doi:10.3905/jpm.2001.319802
[3] Barberis Nicholas, Quarterly Journal of Economics 116 (1) pp 1– (2001) · Zbl 0979.91025 · doi:10.1162/003355301556310
[4] Benartzi Shlomo, Quarterly Journal of Economics 110 (1) pp 73– (1995) · Zbl 0829.90040 · doi:10.2307/2118511
[5] Brealey Richard A., Principles of Corporate Finance, 6. ed. (2000)
[6] Brennan Michael J., Journal of Financial and Quantitative Analysis 20 (1) pp 119– (1985) · doi:10.2307/2330681
[7] Brown Stephen J., Review of Financial Studies 5 (4) pp 553– (1992) · doi:10.1093/rfs/5.4.553
[8] Brown Stephen J., Journal of Finance 50 (3) pp 853– (1995) · doi:10.1111/j.1540-6261.1995.tb04039.x
[9] Campbell John Y., Estimating the Real Rate of Return on Stocks over the Long Term (2001)
[10] Campbell John Y., Journal of Political Economics 107 pp 205– (1999) · doi:10.1086/250059
[11] Campbell John Y., The Econometrics of Financial Markets (1997) · Zbl 0927.62113
[12] Campbell John Y., Review of Financial Studies 1 pp 195– (1988) · doi:10.1093/rfs/1.3.195
[13] Campbell John Y., Advances in Behavioral Finance, Vol. II (2001)
[14] Claus James, Journal of Finance 56 (5) pp 1629– (2001) · doi:10.1111/0022-1082.00384
[15] Cochrane John H., Economic Perspectives 21 (6) pp 3– (1997)
[16] Constantinides George M., Quarterly Journal of Economics 117 (1) pp 269– (2002) · Zbl 1002.91043 · doi:10.1162/003355302753399508
[17] Constantinides George M., Journal of Finance 57 (4) pp 1567– (2002) · doi:10.1111/1540-6261.00471
[18] Cornell Bradford, The Equity Risk Premium: The Long-Run Future of the Stock Market (1999)
[19] Diamond Peter A., Estimating the Real Rate of Return on Stocks over the Long Term (2001)
[20] Dimson Elroy, Triumph of the Optimists: 101 Years of Global Investment Returns (2002)
[21] Elton Edwin J., Modern Portfolio Theory and Investment Analysis, 5. ed. (1995)
[22] Fama Eugene F., Journal of Finance 47 (2) pp 427– (1992) · doi:10.1111/j.1540-6261.1992.tb04398.x
[23] Fama Eugene F., Journal of Finance 57 (2) pp 637– (2002) · doi:10.1111/1540-6261.00437
[24] Goetzmann William N., Journal of Financial Markets 4 (1) pp 1– (2001) · doi:10.1016/S1386-4181(00)00013-6
[25] Goss Stephen C., Estimating the Real Rate of Return on Stocks Over the Long Term (2001)
[26] Graham , John R. and Harvey , Campbell R. 2002 . ” Expectations of Equity Risk Premia, Volatility and Asymmetry ” . Duke University . Working paper
[27] Grinold Richard, Barclays Global Investors’ Investment Insights 5 (3) pp 3– (2002)
[28] Harris Robert S., Journal of Applied Finance 11 (1) pp 6– (2001)
[29] Harvey Andrew, The Econometric Analysis of Time Series, 2. ed. (1990) · Zbl 0747.62113
[30] Ibbotson Associates, Stocks, Bonds, Bills, and Inflation Yearbook (2003)
[31] Ibbotson Associates, Stocks, Bonds, Bills, and Inflation Yearbook (2003)
[32] Ibbotson Roger G., Financial Analysts Journal 59 (1) pp 88– (2003) · doi:10.2469/faj.v59.n1.2505
[33] Kahneman Daniel, Econometrics 47 (2) pp 263– (1979) · Zbl 0411.90012 · doi:10.2307/1914185
[34] Kaplan Paul D., Financial Management 27 (2) pp 85– (1998) · doi:10.2307/3666295
[35] Lachance , Marie-Eve and Mitchell , Olivia S. 2003 . ” Understanding Individual Account Guarantees ” . University of Michigan Retirement Research Center . Working paper, WP 2003–035
[36] Longstaff Francis A., Journal of Business 77 (3) (2004)
[37] Mamaysky , Harry . 2002 . ” A Model for Pricing Stocks and Bonds with Default Risk ” . Yale International Center for Finance . Working Paper No. 02–13
[38] Malkiel Burton G., A Random Walk Down Wall Street (1999)
[39] Mehra Rajnish, Financial Times Mastering Investment (2002)
[40] Mehra Rajnish, Journal of Monetary Economics 15 pp 145– (1985) · Zbl 1065.91532 · doi:10.1016/0304-3932(85)90061-3
[41] Pratt Shannon, P., Cost of Capital Estimation and Applications (1998)
[42] Ralfe , John , Speed , Cliff and Palin , Jon . 2003 . ” Pensions and Capital Structure: Why Hold Equities in the Pension Fund? ” . Vancouver : Society of Actuaries Symposium . June · Zbl 1085.91529
[43] Ross Stephen A., Journal of Economic Theory 13 (3) pp 341– (1976) · doi:10.1016/0022-0531(76)90046-6
[44] Schwert G. William, Journal of Business 63 pp 399– (1990) · doi:10.1086/296513
[45] Shiller Robert J., Market Volatility (1989)
[46] Shoven John B., Estimating the Real Rate of Return on Stocks over the Long Term (2001)
[47] Siegel Jeremy J., Journal of Portfolio Management 26 (1) pp 10– (1999) · doi:10.3905/jpm.1999.319776
[48] Siegel Jeremy J., Stocks for the Long Run: The Definitive Guide to Financial Market Returns and Long-Term Investment Strategies, 3. ed. (2002)
[49] TIPS, Wall Street Journal (2003)
[50] Tversky Amos, Quarterly Journal of Economics 106 (4) pp 1039– (1991) · doi:10.2307/2937956
[51] Weil Philippe, Journal of Monetary Economics 24 (3) pp 401– (1989) · doi:10.1016/0304-3932(89)90028-7
[52] Welch Ivo, Journal of Business 73 (4) pp 501– (2000) · doi:10.1086/209653
[53] Wendt Richard, Risk and Rewards 38 pp 1– (2002)
[54] Wilson Jack W., Journal of Business 75 (3) pp 505– (2002) · doi:10.1086/339903
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