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Estimation and Test of a Simple Model of Intertemporal Capital Asset Pricing

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  • Brennan, Michael
  • Wang, Ashley W
  • Xia, Yihong
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    Abstract

    A simple valuation model that allows for time variation in investment opportunities is developed and estimated. The model assumes that the investment opportunity set is completely described by two state variables, the real interest rate and the maximum Sharpe ratio, which follow correlated Ornstein- Uhlenbeck processes. The model parameters and time series of the state variables are estimated using data on US Treasury bond yields and expected in- flation for the period January 1952 to December 2000, and, as predicted, the estimated maximum Sharpe ratio is shown to be related to the equity premium. In cross-sectional asset pricing tests using the 25 Fama-French size and book-to-market portfolios, both state variables are found to have significant risk premia, which is consistent with the ICAPM of Merton (1973). In contrast to the CAPM and the Fama-French 3-factor model, the simple ICAPM is not rejected by cross-sectional tests using the 25 Fama-French size and B/M sorted portfolios. Returns on the 30 industrial portfolios do not discriminate clearly between the three models. When both sets of portfolios are included as test assets all three models are rejected, but the estimated risk premia for both ICAPM state variables are significant while those associated with the Fama-French arbitrage portfolios are insignificant.

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    Bibliographic Info

    Paper provided by Anderson Graduate School of Management, UCLA in its series University of California at Los Angeles, Anderson Graduate School of Management with number qt20r0j5t8.

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    Date of creation: 28 Mar 2003
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    Handle: RePEc:cdl:anderf:qt20r0j5t8

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    1. Ross, Stephen A., 1976. "The arbitrage theory of capital asset pricing," Journal of Economic Theory, Elsevier, vol. 13(3), pages 341-360, December.
    2. Ammer, John & Campbell, John, 1993. "What Moves the Stock and Bond Markets? A Variance Decomposition for Long-Term Asset Returns," Scholarly Articles 3382857, Harvard University Department of Economics.
    3. Stambaugh, Robert F., 1988. "The information in forward rates : Implications for models of the term structure," Journal of Financial Economics, Elsevier, vol. 21(1), pages 41-70, May.
    4. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-87, September.
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    8. John Y. CAMPBELL & Luis VICEIRA, 1998. "Who Should Buy Long-Term Bonds?," FAME Research Paper Series rp5, International Center for Financial Asset Management and Engineering.
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    13. Darrell Duffie & Rui Kan, 1996. "A Yield-Factor Model Of Interest Rates," Mathematical Finance, Wiley Blackwell, vol. 6(4), pages 379-406.
    14. Boudoukh, Jacob & Richardson, Matthew & Smith, Tom, 1993. "Is the ex ante risk premium always positive? *1: A new approach to testing conditional asset pricing models," Journal of Financial Economics, Elsevier, vol. 34(3), pages 387-408, December.
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    16. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(04), pages 627-627, November.
    17. Kim, Tong Suk & Omberg, Edward, 1996. "Dynamic Nonmyopic Portfolio Behavior," Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 141-61.
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    19. Kandel, Shmuel & Stambaugh, Robert F, 1990. "Expectations and Volatility of Consumption and Asset Returns," Review of Financial Studies, Society for Financial Studies, vol. 3(2), pages 207-32.
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    Cited by:
    1. Günter Franke & Erik Lüders, 2006. "Return Predictability and Stock Market Crashes in a Simple Rational Expectations Model¤," CoFE Discussion Paper 06-05, Center of Finance and Econometrics, University of Konstanz.
    2. Munk, Claus & Sorensen, Carsten & Nygaard Vinther, Tina, 2004. "Dynamic asset allocation under mean-reverting returns, stochastic interest rates, and inflation uncertainty: Are popular recommendations consistent with rational behavior?," International Review of Economics & Finance, Elsevier, vol. 13(2), pages 141-166.
    3. Jessica Wachter & Martin Lettau, 2005. "Why is Long-Horizon Equity Less Risky? A Duration-Based Explanation of the Value Premium," 2005 Meeting Papers 302, Society for Economic Dynamics.
    4. Günter Franke & Erik Lüders, 2005. "Return Predictability and Stock Market Crashes in a Simple Rational Expectations Model," CoFE Discussion Paper 05-05, Center of Finance and Econometrics, University of Konstanz.
    5. Brennan, Michael J. & Xia, Yihong, 2004. "International Capital Markets and Foreign Exchange Risk," University of California at Los Angeles, Anderson Graduate School of Management qt53z0s29k, Anderson Graduate School of Management, UCLA.
    6. Antonio Mele, 2004. "General Properties of Rational Stock-Market Fluctuations," Econometric Society 2004 North American Summer Meetings 223, Econometric Society.

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