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Unformatted text preview: c 1γ . In addition, we assume that the investor also receives some utility from the terminal value of the assets: more speci cally, if, at the end of the problem, the remaining assets are worth x then the associated utility is Ax 1γ , where A is a positive constant and γ a constant such that < γ < 1 . The investor wants to maximize the discounted value of the sum of utility from consumption and terminal assets. De ne β = 1 / (1 + r ) , where r is the rate of discount. Assume that both savings and consumption must be positive each period. Solve the above problem by backward induction. Note: this means that you have to write the problem (explain your notations!), verify the regularity assumptions, and solve by backward induction. 1...
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This note was uploaded on 02/19/2010 for the course ECON 831 taught by Professor Antoine during the Fall '09 term at Simon Fraser.
 Fall '09
 Antoine
 Economics

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