MATH 472/567
Actuarial Theory II/Topics in Actuarial Theory I: Final Exam
May 15, 2014
General Information:
1) There are 10 problems for a total of 50 points.
2) You have between 7:00-10:00pm to write the midterm.
3) You may refer to both sides of one 8.5
MATH 472/567: Actuarial Theory II/Topics in Actuarial Theory I
Midterm #1 Additional Problems: Spring 2012
1. For a fully continuous 5-year endowment insurance of 1000 on (x) with
annual benet premium rate P :
(i) x (t) = 0.01 for t > 0
(ii) = 0.05
(a) Pr
MATH 472/567
Actuarial Theory II/Topics in Actuarial Theory I
Midterm #2
April 2, 2014
General Information:
1) There are 8 problems for a total of 40 points.
2) You have between 3:00-4:20pm to write the midterm.
3) You may refer to both sides of one 3in X
EDUCATION COMMITTEE
OF THE
SOCIETY OF ACTUARIES
MLC STUDY NOTE
SUPPLEMENTARY NOTES FOR
ACTUARIAL MATHEMATICS FOR LIFE CONTINGENT RISKS
VERSION 2.0
by
Mary R. Hardy, PhD, FIA, FSA, CERA
David C. M. Dickson, PhD, FFA, FIAA
Howard R. Waters, DPhil, FIA, FFA
SOA EXAM MLC & CAS EXAM LC STUDY
SUPPLEMENT
by Paul H. Johnson, Jr., PhD.
Last Modied: January 2014
A document prepared by the author as study materials for the
Midwestern Actuarial Forums Exam Preparation Seminars
This document is not to be redistributed
MATH 472/567:
Actuarial Theory II/Topics in Actuarial Theory I
Homework #12: Spring 2015
Assigned April 29, due May 6
AMLCR stands for the textbook Actuarial Mathematics for Life Contingent Risks. You must show all work to receive full credit for any exer
MATH 472/567:
Actuarial Theory II/Topics in Actuarial Theory I
Homework #8: Spring 2015
Assigned March 18, due April 8
AMLCR stands for the textbook Actuarial Mathematics for Life Contingent Risks. Supplement stands for SOA Exam MLC & CAS Exam
LC Study Su
MATH 472/567:
ACTUARIAL THEORY II/TOPICS IN ACTUARIAL THEORY I
SPRING 2015: CLASS PROJECT INFORMATION (Due May 4)
Background
An insurer is planning to issue 15-year disability income policies. Each of these policies has the
following features:
The policy
MATH 567: TOPICS IN ACTUARIAL THEORY I
SPRING 2015
-INSTRUCTOR:
Name:
Office:
Office phone number:
E-mail address:
Paul H. Johnson, Jr.
361 Altgeld Hall
(217)-244-5517
pjohnson@illinois.edu
Website:
http:/www.math.uiuc.edu/~pjohnson/
Office Hours: Monday
MATH 472/567:
Actuarial Theory II/Topics in Actuarial Theory I
February 25, 2015
General Information:
1) There are 8 problems for a total of 40 points.
2) You have between 2:00-3:20pm to write the midterm.
3) You may refer to both sides of one 3in X 5in n
MATH 472/567
Actuarial Theory II/Topics in Actuarial Theory I
Midterm #1
February 26, 2014
General Information:
1) There are 8 problems for a total of 40 points.
2) You have between 3:00-4:20pm to write the midterm.
3) You may refer to both sides of one 3
MATH 472/567: FINAL EXAM INFORMATION
Logistics:
Final Exam:
Date: Friday, May 15, 2015
Time: 1:30-4:30pm (show up prior to 1:30pm to take your seat and receive exam
materials).
Location: 151 Everitt Laboratory
Conflict Final Exam:
Date: Wednesday, May
MATH 472/567:
Actuarial Theory II/Topics in Actuarial Theory I
Midterm #2
April 1, 2015
General Information:
1) There are 8 problems for a total of 40 points.
2) You have between 2:00-3:20pm to write the midterm.
3) You may refer to both sides of one 3in
MATH 472/567:
Actuarial Theory II/Topics in Actuarial Theory I
Homework #7: Spring 2015
Assigned March 11, due March 18
AMLCR stands for the textbook Actuarial Mathematics for Life Contingent Risks. Supplement stands for SOA Exam MLC & CAS Exam
LC Study S
MATH 472/567:
Actuarial Theory II/Topics in Actuarial Theory I
Homework #10: Spring 2015
Assigned April 15, due April 22
AMLCR stands for the textbook Actuarial Mathematics for Life Contingent Risks. Supplement stands for SOA Exam MLC & CAS Exam
LC Study
MATH 472/567:
Actuarial Theory II/Topics in Actuarial Theory I
Homework #11: Spring 2015
Assigned April 22, due April 29
AMLCR stands for the textbook Actuarial Mathematics for Life Contingent Risks. Supplement stands for SOA Exam MLC & CAS Exam
LC Study
Outline
Math 472/565 Actuarial Theory II
Instructor: Dr. Ying Wang
University of Illinois Urbana-Champaign
Champaign, 2017 Spring
Ying Wang, PhD, ASA
Chapter 7 Policy Values
Review-Gross/Net premium policy value
Gross Premium Policy Value
Ying Wang, PhD,
Outline
Math 472/565 Actuarial Theory II
Instructor: Dr. Ying Wang
University of Illinois Urbana-Champaign
Champaign, 2017 Spring
Ying Wang, PhD, ASA
Chapter 7 Policy Values
Review-Asset shares
The share of the insurers assets attributable to each policy.
Outline
Math 472/565 Actuarial Theory II
Instructor: Dr. Ying Wang
University of Illinois Urbana-Champaign
Champaign, 2017 Spring
Ying Wang, PhD, ASA
Topics covered:
Prospective loss random variables, recursions, Thieles differential equation,
alterations
MATH 472/567:
Actuarial Theory II/Topics in Actuarial Theory I
Homework #6: Spring 2015
Assigned March 4, due March 11
AMLCR stands for the textbook Actuarial Mathematics for Life Contingent Risks. Supplement stands for SOA Exam MLC & CAS Exam
LC Study Su
MATH 472/567:
Actuarial Theory II/Topics in Actuarial Theory I
Homework #2: Spring 2015
Assigned January 28, due February 4
AMLCR stands for the textbook Actuarial Mathematics for Life Contingent Risks. Supplement stands for SOA Exam MLC & CAS Exam
LC Stu
MATH 472/567:
Actuarial Theory II/Topics in Actuarial Theory I
Homework #4: Spring 2015
Assigned February 11, due February 18
AMLCR stands for the textbook Actuarial Mathematics for Life Contingent Risks. Supplement stands for SOA Exam MLC & CAS Exam
LC S
MATH 472/567:
Actuarial Theory II/Topics in Actuarial Theory I
Homework #3: Spring 2015
Assigned February 4, due February 11
AMLCR stands for the textbook Actuarial Mathematics for Life Contingent Risks. Supplement stands for SOA Exam MLC & CAS Exam
LC St
MATH 472/567:
Actuarial Theory II/Topics in Actuarial Theory I
Homework #5: Spring 2015
Assigned February 18, due March 4
AMLCR stands for the textbook Actuarial Mathematics for Life Contingent Risks. Supplement stands for SOA Exam MLC & CAS Exam
LC Study
MATH 472/567:
Actuarial Theory II/Topics in Actuarial Theory I
Homework #1: Spring 2015
Assigned January 21, due January 28
AMLCR stands for the textbook Actuarial Mathematics for Life Contingent Risks. Supplement stands for SOA Exam MLC & CAS Exam
LC Stu
MATH 472/567:
Actuarial Theory II/Topics in Actuarial Theory I
Homework #9: Spring 2015
Assigned April 13, due April 15
AMLCR stands for the textbook Actuarial Mathematics for Life Contingent Risks. Supplement stands for SOA Exam MLC & CAS Exam
LC Study S
Outline
Math 472/565 Actuarial Theory II
Instructor: Dr. Ying Wang
University of Illinois Urbana-Champaign
Champaign, 2017 Spring
Ying Wang, PhD, ASA
Chapter 7 Policy Values
Review-Thieles differential equation
A continuous version of the policy value rec
Math 472 / Math 567 - Actuarial Theory II
Assignment 4
Assignment 4 is due on Wednesday, March 2, 2:00pm.
Note: Exercises are all from the Second Edition of the textbook.
1. (5 marks) Suppose that whether or not it rains today depends on previous weather
Math 472/567 Actuarial Theory II
Chapter 7 Policy Values
(1)
Shu Li
Department of Mathematics
University of Illinois at Urbana-Champaign
Spring 2016
Chapter 7 Policy values
Topics covered: Prospective loss random variables, recursions,
Thieles dierential
Example (1): Consider a fully continuous whole life insurance issued to (x) with (level) premium
rate P .
Solution. The prospective loss r.v. Lt is dened as
Lt = P V@t (future benets) P V@t (future premiums)
= v Tx t P a Tx t ,
for Tx > t.
The expectation