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Nonlinearities in the Relation Between the Equity Risk Premium and the Term Structure

Author

Listed:
  • Jacob Boudoukh

    (Stern School of Business, New York University, 44 W. 4th Street, New York, New York 10012)

  • Matthew Richardson

    (Stern School of Business, New York University, 44 W. 4th Street, New York, New York 10012)

  • Robert F. Whitelaw

    (Stern School of Business, New York University, 44 W. 4th Street, New York, New York 10012)

Abstract

This paper investigates the relation between the conditional expected equity risk premium and the slope of the term structure of interest rates. Theoretically, these variables are linked, the relation may be nonlinear, and negative risk premiums are consistent with equilibrium. Given these implications, we employ a nonparametric estimation technique to document the empirical relation between the risk premium and the slope of the term structure using almost two hundred years of data. Of particular interest, the risk premium is increasing in the term structure slope; however, for either small or negative slopes, the risk premium is much more sensitive to changes in interest rates. In addition, the empirical results imply negative expected equity risk premiums for some inverted term structures. Finally, variations in the risk premium do not appear to be related to variations in the variance of equity returns. We illustrate these features in a stylized consumption-based model, and provide the economic intuition behind the results.

Suggested Citation

  • Jacob Boudoukh & Matthew Richardson & Robert F. Whitelaw, 1997. "Nonlinearities in the Relation Between the Equity Risk Premium and the Term Structure," Management Science, INFORMS, vol. 43(3), pages 371-385, March.
  • Handle: RePEc:inm:ormnsc:v:43:y:1997:i:3:p:371-385
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    File URL: http://dx.doi.org/10.1287/mnsc.43.3.371
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    References listed on IDEAS

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    1. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    2. Fama, Eugene F., 1986. "Term premiums and default premiums in money markets," Journal of Financial Economics, Elsevier, vol. 17(1), pages 175-196, September.
    3. Tauchen, George & Hussey, Robert, 1991. "Quadrature-Based Methods for Obtaining Approximate Solutions to Nonlinear Asset Pricing Models," Econometrica, Econometric Society, vol. 59(2), pages 371-396, March.
    4. Hansen, Lars Peter & Singleton, Kenneth J, 1983. "Stochastic Consumption, Risk Aversion, and the Temporal Behavior of Asset Returns," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 249-265, April.
    5. Whitelaw, Robert F, 1994. " Time Variations and Covariations in the Expectation and Volatility of Stock Market Returns," Journal of Finance, American Finance Association, vol. 49(2), pages 515-541, June.
    6. Aman Ullah, 1988. "Non-parametric Estimation of Econometric Functionals," Canadian Journal of Economics, Canadian Economics Association, vol. 21(3), pages 625-658, August.
    7. Ferson, Wayne E & Harvey, Campbell R, 1991. "The Variation of Economic Risk Premiums," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 385-415, April.
    8. Backus, David K & Gregory, Allan W, 1993. "Theoretical Relations between Risk Premiums and Conditional Variances," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(2), pages 177-185, April.
    9. Campbell, John Y., 1987. "Stock returns and the term structure," Journal of Financial Economics, Elsevier, vol. 18(2), pages 373-399, June.
    10. 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.
    11. Foster, F Douglas & Smith, Tom & Whaley, Robert E, 1997. " Assessing Goodness-of-Fit of Asset Pricing Models: The Distribution of the Maximal R-Squared," Journal of Finance, American Finance Association, vol. 52(2), pages 591-607, June.
    12. Boudoukh, Jacob, et al, 1997. "Pricing Mortgage-Backed Securities in a Multifactor Interest Rate Environment: A Multivariate Density Estimation Approach," Review of Financial Studies, Society for Financial Studies, vol. 10(2), pages 405-446.
    13. Fama, Eugene F, 1991. " Efficient Capital Markets: II," Journal of Finance, American Finance Association, vol. 46(5), pages 1575-1617, December.
    14. John Y. Campbell, 1986. "Bond and Stock Returns in a Simple Exchange Model," The Quarterly Journal of Economics, Oxford University Press, vol. 101(4), pages 785-803.
    15. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
    16. Keim, Donald B. & Stambaugh, Robert F., 1986. "Predicting returns in the stock and bond markets," Journal of Financial Economics, Elsevier, vol. 17(2), pages 357-390, December.
    17. Cecchetti, Stephen G & Lam, Pok-sang & Mark, Nelson C, 1990. "Mean Reversion in Equilibrium Asset Prices," American Economic Review, American Economic Association, vol. 80(3), pages 398-418, June.
    18. Gallant, A. Ronald, 1982. "Unbiased determination of production technologies," Journal of Econometrics, Elsevier, vol. 20(2), pages 285-323, November.
    19. Estrella, Arturo & Hardouvelis, Gikas A, 1991. " The Term Structure as a Predictor of Real Economic Activity," Journal of Finance, American Finance Association, vol. 46(2), pages 555-576, June.
    20. Harvey, Campbell R., 1988. "The real term structure and consumption growth," Journal of Financial Economics, Elsevier, vol. 22(2), pages 305-333, December.
    21. Siegel, Jeremy J., 1992. "The real rate of interest from 1800-1990 : A study of the U.S. and the U.K," Journal of Monetary Economics, Elsevier, vol. 29(2), pages 227-252, April.
    22. Chen, Nai-Fu, 1991. " Financial Investment Opportunities and the Macroeconomy," Journal of Finance, American Finance Association, vol. 46(2), pages 529-554, June.
    23. Merton, Robert C., 1980. "On estimating the expected return on the market : An exploratory investigation," Journal of Financial Economics, Elsevier, vol. 8(4), pages 323-361, December.
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    Citations

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    Cited by:

    1. Jose Soares da Fonseca, 2010. "The performance of the European stock markets: a time-varying Sharpe ratio approach," The European Journal of Finance, Taylor & Francis Journals, vol. 16(7), pages 727-741.
    2. Yacine Aït-Sahalia, 2001. "Variable Selection for Portfolio Choice," Journal of Finance, American Finance Association, vol. 56(4), pages 1297-1351, August.
    3. Deng, Yongheng & Gabriel, Stuart A. & Sanders, Anthony B., 2011. "CDO market implosion and the pricing of subprime mortgage-backed securities," Journal of Housing Economics, Elsevier, vol. 20(2), pages 68-80, June.
    4. Leonid Kogan & Raman Uppal, "undated". "Risk Aversion and Optimal Portfolio Policies in Partial and General Equilibrium Economies," Rodney L. White Center for Financial Research Working Papers 13-00, Wharton School Rodney L. White Center for Financial Research.
    5. Ludvigson, Sydney C. & Ng, Serena, 2007. "The empirical risk-return relation: A factor analysis approach," Journal of Financial Economics, Elsevier, vol. 83(1), pages 171-222, January.
    6. Robert F. Whitelaw, 1997. "Time-Varying Sharpe Ratios and Market Timing," New York University, Leonard N. Stern School Finance Department Working Paper Seires 98-074, New York University, Leonard N. Stern School of Business-.
    7. Doron Avramov, "undated". "Stock-Return Predictability and Model Uncertainty," Rodney L. White Center for Financial Research Working Papers 12-00, Wharton School Rodney L. White Center for Financial Research.
    8. Kothari, S. P. & Shanken, Jay, 1997. "Book-to-market, dividend yield, and expected market returns: A time-series analysis," Journal of Financial Economics, Elsevier, vol. 44(2), pages 169-203, May.
    9. Ostdiek, Barbara, 1998. "The world ex ante risk premium: an empirical investigation," Journal of International Money and Finance, Elsevier, vol. 17(6), pages 967-999, December.
    10. Rangan Gupta & Marian Risse & David A. Volkman & Mark E. Wohar, 2017. "The Role of Term Spread and Pattern Changes in Predicting Stock Returns and Volatility of the United Kingdom: Evidence from a Nonparametric Causality-in-Quantiles Test Using Over 250 Years of Data," Working Papers 201755, University of Pretoria, Department of Economics.
    11. Angelos Kanas, 2009. "The relation between the equity risk premium and the bond maturity premium in the UK: 1900–2006," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 33(2), pages 111-127, April.
    12. Eleswarapu, Venkat R. & Thompson, Rex, 2007. "Testing for negative expected market return premia," Journal of Banking & Finance, Elsevier, vol. 31(6), pages 1755-1770, June.
    13. Ross McCown, James, 2001. "Yield curves and international equity returns," Journal of Banking & Finance, Elsevier, vol. 25(4), pages 767-788, April.
    14. Angelos Kanas, 2010. "A note on the relation between the equity risk premium and the term structure," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 34(1), pages 89-95, January.
    15. Robert J Bianchi & Adam E Clements & Michael E Drew, 2009. "HACking at Non-linearity: Evidence from Stocks and Bonds," School of Economics and Finance Discussion Papers and Working Papers Series 244, School of Economics and Finance, Queensland University of Technology.
    16. repec:eee:quaeco:v:65:y:2017:i:c:p:314-327 is not listed on IDEAS

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