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Serial Correlation of Asset Returns and Optimal Portfolios for the Long and Short Term

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  • Stanley Fischer
  • George Pennacchi

Abstract

Optimal portfolios differ according to the length of time they are held without being rebalanced. For the case in which asset returns are identically and independently distributed, it has been shown that optimal portfolios become less diversified as the holding period lengthens.We show that the anti-diversification result does not obtain when asset returns are serially correlated, and examine properties of asymptotic portfolios for the case where the short term interest rate, although known at each moment of time, may change unpredictably over time. The theoretical results provide no presumption about the effects of the length of the holding period on the optimal portfolio. Using estimated processes for stock and bill returns, we show that calculated optimal portfolios are virtually invariant to the length of the holding period. The estimated processes for asset returns also imply very little difference between portfolios calculated ignoring changes in the investment opportunity set and those obtained when the investment opportunity set changes over time.

Suggested Citation

  • Stanley Fischer & George Pennacchi, 1985. "Serial Correlation of Asset Returns and Optimal Portfolios for the Long and Short Term," NBER Working Papers 1625, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:1625
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    1. repec:ucp:bknber:9780226062815 is not listed on IDEAS
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    Cited by:

    1. Mitchell, Douglas W., 2001. "Effects of decision interval on optimal intertemporal portfolios with serially correlated returns," The Quarterly Review of Economics and Finance, Elsevier, vol. 41(3), pages 427-438.

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