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A.Zaks, “Present Value of Annuities under Random Rates of Interest,” 2003. http://academic.research.microsoft.com/Publication/6244175/present-value-of-annuities-under-random-rates-of-interest

has been cited by the following article:

• TITLE: Optimal Portfolio Strategy with Discounted Stochastic Cash Inflows

  AUTHORS: Charles I. Nkeki

  KEYWORDS: Optimal Portfolio; Stochastic Cash Inflows; Inflation-Linked Bond; Variational Form; Intertemporal Hedging Terms

  JOURNAL NAME: Journal of Mathematical Finance, Vol.3 No.1, February 28, 2013

  ABSTRACT: This paper examines optimal portfolios with discounted stochastic cash inflows (SCI). The cash inflows are invested into a market that is characterized by inflation-linked bond, a stock and a cash account. It was assumed that inflation-linked bond, stock and the cash inflows are stochastic and follow a standard geometric Brownian motion. The variational form of Merton portfolio strategy was obtained by assuming that the investor chooses constant relative risk averse (CRRA) utility function. The inter-temporal hedging terms that offset any shock to the SCI were obtained. A closed form solution to our resulting non-linear partial differential equation was obtained.