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Unformatted text preview: s ( x ) = ( ωx ω ) α for 0 ≤ x ≤ ω , α > 0. Show that: ˚ e x = ωx α +1 for 0 ≤ x ≤ ω , α > 0. 5. You are given: (i) ˚ e 40 = 35 and ˚ e 40: 10 = 10 (ii) 10 p 40 = 0.85 and t p 50 = 1  0.01 t for 0 ≤ t ≤ 1 (iii) Improvements in mortality at age 50 cause t p 50 to change to 1  0.007 t for 0 ≤ t ≤ 1. Calculate the revised value of ˚ e 40 . [Hint: Use recursion formulas.] (35.07)...
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 Spring '08
 Staff
 Math, Actuarial Science, Demography, Abraham de Moivre, constant force, De Moivre's formula, Theory I Homework

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