Math 472 HW 8 Solutions

Math 472 HW 8 Solutions - MATH 472/567 Actuarial Theory...

This preview shows pages 1–2. Sign up to view the full content.

MATH 472/567: Actuarial Theory II/Topics in Actuarial Theory I Homework #8: Spring 2011 Assigned March 16, due April 6 1. Consider two independent lives (35) and (45). Each life has mortality that follows the Illustrative Life Table. (a) Calculate the probability that both lives will survive the next ten years. (0.9172) (b) Calculate the probability that (35) will survive the next ten years and (45) will not survive the next ten years. (0.0555) (c) Calculate the probability that exactly one of the two lives will die in the next ten years. (0.0812) 2. Consider (x) and (y), with independent future lifetimes and constant forces of mortality equal to 0.03 and 0.05, respectively. (a) Calculate the probability that both (x) and (y) will survive the next 20 years. (0.2019) (b) Calculate the expected time until the ﬁrst death of (x) and (y). (12.5) (c) Calculate the probability that the ﬁrst death of (x) and (y) occurs in the tenth year from now. (0.0374) 3. For a population of smokers and non-smokers:

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 6

Math 472 HW 8 Solutions - MATH 472/567 Actuarial Theory...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online