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R. C. Merton, “Lifetime Consumption under Uncertaintiy: The Continuous Time Case,” The Review of Economics and Statistics, Vol. 51, No. 3, 1969, pp. 247-257.
http://dx.doi.org/10.2307/1926560

has been cited by the following article:

• TITLE: An Extension of Some Results Due to Cox and Leland

  AUTHORS: Andrew P. Leung, Wen Shi

  KEYWORDS: Path Independence; Dynamic Asset Allocation; Dynamic Optimization; Calculus of Variations

  JOURNAL NAME: Journal of Mathematical Finance, Vol.3 No.4, October 17, 2013

  ABSTRACT: We investigate an optimal portfolio allocation problem between a risky and a risk-free asset, as in [1]. They obtained explicit conditions for path-independence and optimality of allocation strategies when the price of the risky asset follows a geometric Brownian motion with constant asset characteristics. This paper analyzes and extends their results for dynamic investment strategies by allowing for non-constant returns and volatility. We adopt a continuous-time approach and appeal to well established results in stochastic calculus for doing so.