This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: (ii) The probability that two 80year olds are both alive in 20 years is 0.01. (iii) There is an 8% chance of a 70year old surviving the next 30 years. (iv) All lives are independent and have the same expected mortality. Calculate the probability that an 80year old will survive to age 90. (0.5) 4. Suppose mortality follows modiﬁed (or generalized) de Moivre’s Law , where: s ( x ) = ( ωx ω ) α for 0 ≤ x ≤ ω , α > 0. Note that regular de Moivre’s Law is a special case of this modiﬁed law with α = 1. Show that: t p x = ( ωxt ωx ) α for 0 ≤ t ≤ ( ωx ), α > 0....
View
Full Document
 Spring '08
 Staff
 Math, Harshad number, Complex number, 8%, 20 years, Abraham de Moivre, De Moivre's formula

Click to edit the document details