# 2 ans - MATH 471: Actuarial Theory I Homework #2: Fall 2010...

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MATH 471: Actuarial Theory I Homework #2: Fall 2010 Assigned September 1, due September 8 1. Suppose: s ( x ) = exp[ - x 2 2500 ] for x 0. Calculate the force of mortality at age 45. (0.036) 2. Suppose: μ x = 0.05 for 50 x < 60; μ x = 0.04 for 60 x < 70. Calculate: 4 | 14 q 50 . (0.3783) 3. 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. 4. You are given: (i) The force of mortality for Enzo is μ E x = kx 3 for x 0. (ii) The force of mortality for Hayden is μ H x = 1.8 for x 0. Calculate k so that 5 p 10 is the same for Enzo and Hayden.

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## This note was uploaded on 02/02/2011 for the course MATH 471 taught by Professor Staff during the Fall '08 term at University of Illinois, Urbana Champaign.

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2 ans - MATH 471: Actuarial Theory I Homework #2: Fall 2010...

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