ACTSC 232 FALL 2013
ASSIGNMENT 3 DUE: Monday, December 2 BEFORE THE START OF CLASS
*All answers should be given to 4 decimal places
1. Refer to your Excel sheet from assignment #2 as a starting point to answer the following questions.
Using a Makeham mort
ACTSC 232 FALL 2013
ASSIGNMENT 2 DUE: Monday, November 4 at the start of class
1. Given the following mortality rates from a 4-year select life table:
[x]
q[x]
q[x]+1
q[x]+2
q[x]+3
qx + 4
50
0.00202
0.00274
0.00309
0.00341
0.00362
51
0.00222
0.00294
0.003
University of Waterloo
Final Examination
Term: WINTER Year: 2011
Student Name:
UW Student ID Number:
UWdir User ID:
Course Abbreviation and Number:
Course Title:
Section(s):
Sections Combined Course(s):
Section Numbers of Combined Course(s):
Instructor:
A
ACTSC 232 FALL 2013
ASSIGNMENT 1
DUE FRIDAY, OCTOBER 4 AT THE START OF CLASS
*Please give your answers to 4 decimal places wherever possible*
1.
Let X be the age-at-death random variable with x =
, for 0 x < 110 [15 marks]
(a)
(b)
(c)
(d)
(e)
(f)
Give an
ACTSC 232 Winter 2013 Tutorial Problem Set #2 Solutions
First (given) Name:_
Last (family) Name:_
ID No.:_
User ID (i.e. jradcock):_
*Please give numerical answers to 5 decimal places whenever possible.*
1. Determine 10p20 if the force of mortality is con
Sample exam questions
1. Identify the actuarial functions with the following integral or sum representations:
n
(a)
v t t px x+t dt
0
n
(b)
tv t t px dt
0
(c)
1
m
1
1
m
(d)
n
px v m +
2
2
m
px v m +
3
3
m
px v m + . + n px v n
v n atn t px x+t dt
2. Write
The growth of money
Accumulation function
The function a(t) is the accumulation at time t of $1 invested at time 0 (how much $1 at t = 0 is
worth at time t)
a(0) = 1 and a(t) a(0) for all t 0
An investment of K at time 0 accumulates to K*a(t) at time t
Ak
ACTSC 232 FALL 2013
Final Exam Practice Questions
1. You are given:
The probability that (50) dies before reaching age 60 is 0.1
The probability that (50) dies between the ages of 60 and 70 is 0.15
l70 = 65,100
Calculate l50.
2. Given:
,0x
lx =
E[T40]
Supplementary Notes for
Actuarial Mathematics for Life Contingent Risks
Mary R. Hardy PhD FIA FSA CERA
David C. M. Dickson PhD FFA FIAA
Howard R. Waters DPhil FIA FFA
1
Copyright 2011 D.C.M. Dickson, M.R.Hardy, H.R. Waters
Introduction
This note is provid
SOS ACTSC232 MIDTERM #1
REVIEW SESSION PROBLEMS
Q1. (e-book 2.8.3)
Calculate the probability that a life aged 0 will die between ages 19 and 36, given the
survival distribution:
S 0 ( x)
1
100 x ,
10
Q2. (e-book 2.8.6)
p x 0.9 9 ,
Given
Find:
px 3
(a)
(b)
ACTSC 232 Introduction to Actuarial Mathematics
Winter 2015
Instructor:
James Adcock M3 3019 x31108 E-mail: jradcock@uwaterloo.ca Office hours: TBA
Textbook: The primary source for this course is the notes given during class. The textbook is Actuarial
Mat
Makeham mortality model
Parameters
A
B
c
s
g
i
v
omega
0.0055
0.0004
1.09
0.9945150973
0.9953691832
0.05
0.9523809524
120
if you want to change omega or the starting age of the table,
you'll need to add or delete rows, not just type in the number
x
px
20
ACTSC 232 WINTER 2015
ASSIGNMENT 2 DUE: Monday, March 9th by 9 a.m. in the Drop Box
1. You are given the following extract from a life table.
x
lx
dx
70
10,163
1,897
71
8,266
1,650
72
6,616
1,419
73
5,197
1,189
74
4,008
980
75
3,028
758
Assume i = 5% for
ACTSC 232 WINTER 2015
ASSIGNMENT 3 DUE: Monday, April 6th by 6 p.m. in the Drop Box
1.
ABC LifeCo has a portfolio of policies, all issued at the same time, consisting of the
following:
200 whole life annuity contracts all issued to (50), each with a paym
ACTSC 232
Spring 2014
ACTSC 232 Spring 2014 Test #2
Friday, July 11, 2014
8:30 9:20 a.m.
First (given) Name:_ Last (family) Name:_
ID #:_
1.
2.
3.
4.
5.
6.
User ID:_
This is a 50 minute closed book examination.
Non-programmable calculators are allowed.
No
ACTSC 232 WINTER 2015
Final Exam Practice Questions
1. You are given:
The probability that (50) dies before reaching age 60 is 0.1
The probability that (50) dies between the ages of 60 and 70 is 0.15
l70 = 65,100
Calculate l50.
2. Given:
lx = 10000( )
ACTSC 232 WINTER 2015
ASSIGNMENT 1 DUE: Tuesday, February 3, 2015 by 4 p.m.
(Drop Boxes in MC Building)
1. James is currently age 43. His survival function is given as follows:
0.3(11.04 )
tp43 =
Determine:
a. q45 and interpret this value [3 marks]
b. 5|
ACTSC 232
Intro to Actuarial Mathematics
Winter 2011
Chapter 6: Premiums
Premiums
Premiums are the amounts paid to the insurer in exchange for the
benets provided to the insured. The premium may consist of one
or more payments.
In traditional life insuran
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ACTSC 232 FALL 2010
MID-TERM EXAM #2 November 12 2010
NAME:
I.D.:
Aids:
Time:
Examiner:
Calculator
50 minutes
Johnny Li
Question
Maximum
1
11
2
13
3
10
4
6
Total
40
1
Mark
1. You are given the following select-and-ultimate life table:
[x]
[70]
[71]
[72]
[
ACTSC 232 WINTER 2008
MID-TERM EXAM #2 March 10 2008 SUGGESTED SOLUTIONS
NAME: I.D.: Aids: Time: Examiner: Calculator 50 minutes Johnny Li
Question 1 2 3 4 Total
Maximum 5 9 18 8 40
Mark
1
1. You are given the following select-and-ultimate life table: [x]