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The premium of dynamic trading

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  • Chun Hung Chiu
  • Xun Yu Zhou

Abstract

It is well established that, in a market with inclusion of a risk-free asset, the single-period mean-variance efficient frontier is a straight line tangent to the risky region, a fact that is the very foundation of the classical CAPM. In this paper, it is shown that, in a continuous-time market where the risky prices are described by Ito processes and the investment opportunity set is deterministic (albeit time-varying), any efficient portfolio must involve allocation to the risk-free asset at any time. As a result, the dynamic mean-variance efficient frontier, although still a straight line, is strictly above the entire risky region. This in turn suggests a positive premium, in terms of the Sharpe ratio of the efficient frontier, arising from dynamic trading. Another implication is that the inclusion of a risk-free asset boosts the Sharpe ratio of the efficient frontier, which again contrasts sharply with the single-period case.

Suggested Citation

  • Chun Hung Chiu & Xun Yu Zhou, 2011. "The premium of dynamic trading," Quantitative Finance, Taylor & Francis Journals, vol. 11(1), pages 115-123.
    • Handle: RePEc:taf:quantf:v:11:y:2011:i:1:p:115-123
    DOI: 10.1080/14697681003685589
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    References listed on IDEAS

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