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Who Should Buy Long-Term Bonds?

  • John Y. CAMPBELL

    (Harvard University)

  • Luis VICEIRA

    (Harvard Business School)

According to conventional wisdom, long-term bonds are appropriate for long-term investors who value stability of income. We develop a model of optimal consumption and portfolio choice for infinitely-lived investors facing stochastic interest rates, solve it using an approximate analytical method, and evaluate the conventional wisdom. We show that the demand for long-term bonds has both a myopic component and an intertemporal hedging component. As risk aversion increases, the myopic component shrinks to zero but the hedging component does not. An infinitely risk-averse investor who is infinitely unwilling to substitute consumption intertemporally should hold a portfolio of long-term indexed bonds that is equivalent to an indexed perpetuity. This portfolio finances a riskless consumption stream and in this sense provides a stable income. We calibrate our model to postwar US data and compare consumption and portfolio rules with and without bond indexation, portfolio constraints, and the possibility of investment in equities. We find that when indexed bonds are not available, inflation risk leads investors to shorten their bond portfolios and increase their precautionary savings. This has serious welfare costs for conservative investors, who are much better off when they have the opportunity to buy indexed bonds. We also find that the ratio of bonds to equities in the optimal portfolio increases with the coefficient of relative risk aversion, which is consistent with conventional portfolio advice but inconsistent with the mutual fund theorem of static portfolio analysis. Our results illustrate the general point that static portfolio choice models should not be used to study the dynamic problems facing long-term investors.

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Paper provided by International Center for Financial Asset Management and Engineering in its series FAME Research Paper Series with number rp5.

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Date of creation: Oct 1998
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Handle: RePEc:fam:rpseri:rp5
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  1. Epstein, Larry G & Zin, Stanley E, 1989. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework," Econometrica, Econometric Society, vol. 57(4), pages 937-69, July.
  2. Zvi Bodie & Alex Kane & Robert McDonald, 1985. "Inflation and the Role of Bonds in Investor Portfolios," NBER Chapters, in: Corporate Capital Structures in the United States, pages 167-196 National Bureau of Economic Research, Inc.
  3. R. C. Merton, 1970. "Optimum Consumption and Portfolio Rules in a Continuous-time Model," Working papers 58, Massachusetts Institute of Technology (MIT), Department of Economics.
  4. Stiglitz, Joseph E, 1970. "A Consumption-Oriented Theory of the Demand for Financial Assets and the Term Structure of Interest Rates," Review of Economic Studies, Wiley Blackwell, vol. 37(3), pages 321-51, July.
  5. Weil, Philippe, 1989. "The equity premium puzzle and the risk-free rate puzzle," Journal of Monetary Economics, Elsevier, vol. 24(3), pages 401-421, November.
  6. Shiller, Robert J. & Huston McCulloch, J., 1990. "The term structure of interest rates," Handbook of Monetary Economics, in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 1, chapter 13, pages 627-722 Elsevier.
  7. John Heaton & Deborah Lucas, 1993. "Evaluating the Effects of Incomplete Markets on Risk Sharing and Asset Pricing," NBER Working Papers 4249, National Bureau of Economic Research, Inc.
  8. Frank F. Gong & Eli M. Remolona, 1997. "A three-factor econometric model of the U.S. term structure," Staff Reports 19, Federal Reserve Bank of New York.
  9. Brennan, Michael J. & Schwartz, Eduardo S. & Lagnado, Ronald, 1997. "Strategic asset allocation," Journal of Economic Dynamics and Control, Elsevier, vol. 21(8-9), pages 1377-1403, June.
  10. Campbell, John Y & Kyle, Albert S, 1993. "Smart Money, Noise Trading and Stock Price Behaviour," Review of Economic Studies, Wiley Blackwell, vol. 60(1), pages 1-34, January.
  11. Marjorie Flavin & Takashi Yamashita, 1998. "Owner-Occupied Housing and the Composition of the Household Portfolio Over the Life-Cycle," NBER Working Papers 6389, National Bureau of Economic Research, Inc.
  12. Luis M. Viceira, 1999. "Optimal Portfolio Choice for Long-Horizon Investors with Nontradable Labor Income," NBER Working Papers 7409, National Bureau of Economic Research, Inc.
  13. Sun, Tong-sheng, 1992. "Real and Nominal Interest Rates: A Discrete-Time Model and Its Continuous-Time Limit," Review of Financial Studies, Society for Financial Studies, vol. 5(4), pages 581-611.
  14. Pennacchi, George G, 1991. "Identifying the Dynamics of Real Interest Rates and Inflation: Evidence Using Survey Data," Review of Financial Studies, Society for Financial Studies, vol. 4(1), pages 53-86.
  15. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
  16. Constantinides, G.M. & Donalson, J.B. & Mehra, R., 1997. "Junior Can't Borrow: A New Perspective on the Equity Premium Puzzle," Papers 97-24, Columbia - Graduate School of Business.
  17. João Cocco & Francisco Gomes & Pascal Maenhout, 1998. "Consumption and Portfolio Choice over the Life-Cycle," Center for Economic Studies - Discussion papers ces9805, Katholieke Universiteit Leuven, Centrum voor Economische Studiën.
  18. Brennan, Michael J. & Xia, Yihong, 1998. "Resolution of a Financial Puzzle," University of California at Los Angeles, Anderson Graduate School of Management qt5497w2bh, Anderson Graduate School of Management, UCLA.
  19. R. Mehra & E. Prescott, 2010. "The equity premium: a puzzle," Levine's Working Paper Archive 1401, David K. Levine.
  20. Campbell, John Y., 1999. "Asset prices, consumption, and the business cycle," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 19, pages 1231-1303 Elsevier.
  21. Singleton, Kenneth J., 1990. "Specification and estimation of intertemporal asset pricing models," Handbook of Monetary Economics, in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 1, chapter 12, pages 583-626 Elsevier.
  22. Frank F. Gong & Eli M. Remolona, 1996. "Inflation risk in the U.S. yield curve: the usefulness of indexed bonds," Research Paper 9637, Federal Reserve Bank of New York.
  23. Richard Clarida & Jordi Gali & Mark Gertler, 1998. "Monetary Policy Rules and Macroeconomic Stability: Evidence and Some Theory," NBER Working Papers 6442, National Bureau of Economic Research, Inc.
  24. Harvey,Andrew C., 1991. "Forecasting, Structural Time Series Models and the Kalman Filter," Cambridge Books, Cambridge University Press, number 9780521405737.
  25. John Y. Campbell & Robert J. Shiller, 1996. "A Scorecard for Indexed Government Data," Harvard Institute of Economic Research Working Papers 1758, Harvard - Institute of Economic Research.
  26. John Y. Campbell & Robert J. Shiller, 1996. "A Scorecard for Indexed Government Debt," Cowles Foundation Discussion Papers 1125, Cowles Foundation for Research in Economics, Yale University.
  27. Darrell Duffie & Rui Kan, 1996. "A Yield-Factor Model Of Interest Rates," Mathematical Finance, Wiley Blackwell, vol. 6(4), pages 379-406.
  28. John H. Cochrane & Lars Peter Hansen, 1992. "Asset Pricing Explorations for Macroeconomics," NBER Working Papers 4088, National Bureau of Economic Research, Inc.
  29. Gibbons, Michael R & Ramaswamy, Krishna, 1993. "A Test of the Cox, Ingersoll, and Ross Model of the Term Structure," Review of Financial Studies, Society for Financial Studies, vol. 6(3), pages 619-58.
  30. John Y. Campbell, 1992. "Intertemporal Asset Pricing Without Consumption Data," NBER Working Papers 3989, National Bureau of Economic Research, Inc.
  31. 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.
  32. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March.
  33. Bodie, Zvi & Merton, Robert C. & Samuelson, William F., 1992. "Labor supply flexibility and portfolio choice in a life cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 427-449.
  34. repec:fth:harver:1421 is not listed on IDEAS
  35. Kim, Tong Suk & Omberg, Edward, 1996. "Dynamic Nonmyopic Portfolio Behavior," Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 141-61.
  36. Langetieg, Terence C, 1980. " A Multivariate Model of the Term Structure," Journal of Finance, American Finance Association, vol. 35(1), pages 71-97, March.
  37. John Y. Campbell & Luis M. Viceira, 1998. "Consumption and Portfolio Decisions When Expected Returns Are Time Varying," Harvard Institute of Economic Research Working Papers 1835, Harvard - Institute of Economic Research.
  38. Balduzzi, Pierluigi & Lynch, Anthony W., 1999. "Transaction costs and predictability: some utility cost calculations," Journal of Financial Economics, Elsevier, vol. 52(1), pages 47-78, April.
  39. Wachter, Jessica A., 2003. "Risk aversion and allocation to long-term bonds," Journal of Economic Theory, Elsevier, vol. 112(2), pages 325-333, October.
  40. Alberto Giovannini & Philippe Weil, 1989. "Risk Aversion and Intertemporal Substitution in the Capital Asset Pricing Model," NBER Working Papers 2824, National Bureau of Economic Research, Inc.
  41. 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.
  42. Solnik, Bruno H., 1974. "An equilibrium model of the international capital market," Journal of Economic Theory, Elsevier, vol. 8(4), pages 500-524, August.
  43. Campbell, John Y. & Koo, Hyeng Keun, 1997. "A comparison of numerical and analytic approximate solutions to an intertemporal consumption choice problem," Journal of Economic Dynamics and Control, Elsevier, vol. 21(2-3), pages 273-295.
  44. Michael W. Brandt, 1999. "Estimating Portfolio and Consumption Choice: A Conditional Euler Equations Approach," Journal of Finance, American Finance Association, vol. 54(5), pages 1609-1645, October.
  45. Qiang Dai & Kenneth J. Singleton, 1997. "Specification Analysis of Affine Term Structure Models," NBER Working Papers 6128, National Bureau of Economic Research, Inc.
  46. Fischer, Stanley, 1975. "The Demand for Index Bonds," Journal of Political Economy, University of Chicago Press, vol. 83(3), pages 509-34, June.
  47. Tepla, Lucie, 2000. "Optimal portfolio policies with borrowing and shortsale constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 24(11-12), pages 1623-1639, October.
  48. Cox, John C. & Huang, Chi-fu, 1989. "Optimal consumption and portfolio policies when asset prices follow a diffusion process," Journal of Economic Theory, Elsevier, vol. 49(1), pages 33-83, October.
  49. Alan D. Viard, 1993. "The welfare gain from the introduction of indexed bonds," Proceedings, Federal Reserve Bank of Cleveland, pages 612-635.
  50. Epstein, Larry G & Zin, Stanley E, 1991. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: An Empirical Analysis," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 263-86, April.
  51. Canner, Niko & Mankiw, N Gregory & Weil, David N, 1997. "An Asset Allocation Puzzle," American Economic Review, American Economic Association, vol. 87(1), pages 181-91, March.
  52. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-87, September.
  53. Shiller, Robert J, 1979. "The Volatility of Long-Term Interest Rates and Expectations Models of the Term Structure," Journal of Political Economy, University of Chicago Press, vol. 87(6), pages 1190-1219, December.
  54. Breeden, Douglas T., 1979. "An intertemporal asset pricing model with stochastic consumption and investment opportunities," Journal of Financial Economics, Elsevier, vol. 7(3), pages 265-296, September.
  55. 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.
  56. Bergstrom, A.R., 1984. "Continuous time stochastic models and issues of aggregation over time," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 20, pages 1145-1212 Elsevier.
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