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Strategic Asset Allocation in a Continuous Time VAR Model

  • Campbell, John Y
  • Chacko, George
  • Rodriguez, Jorge
  • Viceira, Luis M

This Paper derives an approximate solution to a continuous-time intertemporal portfolio and consumption choice problem. The problem is the continuous-time equivalent of the discrete-time problem studied by Campbell and Viceira (1999), in which the expected excess return on a risky asset follows an AR(1) process, while the riskless interest rate is constant. The Paper also shows how to obtain continuous-time parameters that are consistent with discrete-time econometric estimates. The continuous-time solution is the limit of that of Campbell and Viceira and has the property that conservative long-term investors have a large positive intertemporal hedging demand for stocks.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 4160.

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Date of creation: Dec 2003
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Handle: RePEc:cpr:ceprdp:4160
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  1. George Chacko & Luis M. Viceira, 1999. "Dynamic Consumption and Portfolio Choice with Stochastic Volatility in Incomplete Markets," NBER Working Papers 7377, National Bureau of Economic Research, Inc.
  2. Campbell, John Y & Chan, Yeung Lewis & Viceira, Luis M, 2001. "A Multivariate Model of Strategic Asset Allocation," CEPR Discussion Papers 3070, C.E.P.R. Discussion Papers.
  3. Viceira, Luis & Campbell, John, 2001. "Who Should Buy Long-Term Bonds?," Scholarly Articles 3128709, Harvard University Department of Economics.
  4. John Y. Campbell & Albert S. Kyle, 1988. "Smart Money, Noise Trading and Stock Price Behavior," NBER Technical Working Papers 0071, National Bureau of Economic Research, Inc.
  5. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
  6. 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.
  7. Campbell, John & Viceira, Luis, 1999. "Consumption and Portfolio Decisions When Expected Returns are Time Varying," Scholarly Articles 3163266, Harvard University Department of Economics.
  8. 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.
  9. 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.
  10. Duffie, Darrel & Lions, Pierre-Louis, 1992. "PDE solutions of stochastic differential utility," Journal of Mathematical Economics, Elsevier, vol. 21(6), pages 577-606.
  11. Kim, Tong Suk & Omberg, Edward, 1996. "Dynamic Nonmyopic Portfolio Behavior," Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 141-61.
  12. Wachter, Jessica A., 2002. "Portfolio and Consumption Decisions under Mean-Reverting Returns: An Exact Solution for Complete Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 37(01), pages 63-91, March.
  13. Duffie, Darrell & Epstein, Larry G, 1992. "Stochastic Differential Utility," Econometrica, Econometric Society, vol. 60(2), pages 353-94, March.
  14. Duffie, Darrell & Epstein, Larry G, 1992. "Asset Pricing with Stochastic Differential Utility," Review of Financial Studies, Society for Financial Studies, vol. 5(3), pages 411-36.
  15. Campbell, John Y. & Viceira, Luis M., 2002. "Strategic Asset Allocation: Portfolio Choice for Long-Term Investors," OUP Catalogue, Oxford University Press, number 9780198296942, March.
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