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Risk and Valuation Under an Intertemporal

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  • Brennan, Michael J.
  • Xia, Yihong

Abstract

We analyze the risk characteristics and the valuation of assets in an economy in which the investment opportunity set is described by the real interest rate and the maximum Sharpe ratio. It is shown that, holding constant the beta of the underlying cash flow, the beta of a security is a function of the maturity of the cash flow. For parameter values estimated from U.S. data, the security beta is always increasing with the maturity of the underlying cash flow, while discount rates for risky cash flows can be increasing, decreasing or nonmonotone functions of the maturity of the cash flow. The variation in discount rates and present value factors that is due to variation in the real interest rate and the Sharpe ratio is shown to be large for long maturity cash flows, and the component of the volatility that is due to variation in the Sharpe ratio is more important than that due to variation in the real interest rate.

Suggested Citation

  • Brennan, Michael J. & Xia, Yihong, 2003. "Risk and Valuation Under an Intertemporal," University of California at Los Angeles, Anderson Graduate School of Management qt98x741b1, Anderson Graduate School of Management, UCLA.
    • Handle: RePEc:cdl:anderf:qt98x741b1
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    Cited by:

    1. 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.
    2. Schröder, Michael & Lüders, Erik, 2004. "Modeling Asset Returns: A Comparison of Theoretical and Empirical Models," ZEW Discussion Papers 04-19 [rev.], ZEW - Leibniz Centre for European Economic Research.
    3. Franke, Günter & Lüders, Erik, 2004. "Why Do Asset Prices Not Follow Random Walks?," CoFE Discussion Papers 04/05, University of Konstanz, Center of Finance and Econometrics (CoFE).
    4. Martin Lettau & Jessica A. Wachter, 2007. "Why Is Long‐Horizon Equity Less Risky? A Duration‐Based Explanation of the Value Premium," Journal of Finance, American Finance Association, vol. 62(1), pages 55-92, February.
    5. Franke, Günter & Lüders, Erik, 2006. "Return predictability and stock market crashes in a simple rational expectation models," CoFE Discussion Papers 06/05, University of Konstanz, Center of Finance and Econometrics (CoFE).
    6. Mele, Antonio, 2004. "General properties of rational stock-market fluctuations," LSE Research Online Documents on Economics 24701, London School of Economics and Political Science, LSE Library.
    7. Lüders, Erik & Franke, Günter, 2005. "Return predictability and stock market crashes in a simple rational expectations model," CoFE Discussion Papers 05/05, University of Konstanz, Center of Finance and Econometrics (CoFE).
    8. 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.

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