RelativeResourceManager2

# RelativeResourceManager2 - (0.000886 4 For a population...

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MATH 471: Actuarial Theory I Homework #2: Fall 2009 Assigned September 2, due September 9 1. Suppose μ x = 0.04 for x 0. Calculate 14 | 4 q 28 . (0.0845) 2. Suppose mortality follows modiﬁed de Moivre’s Law, where: s ( x ) = ( ω - x ω ) α for 0 x ω , α > 0. Show that: μ x = α ω - x for 0 x < ω , α > 0. 3. You are given: (i) The force of mortality for Jeﬀ is μ JE x = kx 3 . (ii) The force of mortality for Jordan is μ JO x = 1.8. Calculate k so that 5 p 10 is the same for Jeﬀ and Jordan.

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Unformatted text preview: (0.000886) 4. For a population which contains equal numbers of males and females at birth: (i) For males, μ M x = 0.10 for x ≥ 0. (ii) For females, μ F x = 0.08 for x ≥ 0. Calculate q 60 for this population. [Hint: Think of s ( x ) as a weighted aver-age of s M ( x ) and s F ( x ), the survival functions for both males and females, respectively.] (0.0811)...
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RelativeResourceManager2 - (0.000886 4 For a population...

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