ACTSC 232 - Spring 2012 - Assignment 2 SOLUTIONS
1. (a) Describe in words the insurances with the present values given.
20000v Tx , Tx 10
10000v Tx , Tx > 10
This benet pays 20000 immediately on death if death occurs within 10
years, but the benet reduces
Basic Info
Monday, July 9
3:30 - 5:00pm
DC 1350
* If you cannot stay until 5:00, you may start writing half an hour early. You will also
be in DC 1350. Please arrive promptly at 3:00 if you want to do this.
Format
4 questions with multiple parts
60 marks
Basic Info
Monday, June 4
3:30 - 5:00pm
DC 1350
* If you cannot stay until 5:00, you may start writing half an hour early. You will also
be in DC 1350. Please arrive promptly at 3:00 if you want to do this.
Format
4 questions with multiple parts
60 marks
Basic Info
Tuesday, Aug 7
4:00 - 6:30pm
PAC 7/8
Format
8 questions with multiple parts
100 marks total (exactly proportional to the length of the tests in marks per minute)
Approximately 20% of the marks are for explanation/justification questions (full
s
ACTSC 232
Winter 2009
ACTSC 232 - Winter 2009 - Test 1
Mon, Feb 9, 2009 4:30 - 5:30 pm
Last (family) Name:
First (given) Name:
ID #:
UserID:
Question
Marks Available
1
12
2
17
3
11
Total
40
Marks Obtained
ACTSC 232
Winter 2009
1. [12 marks] In these probl
ACTSC 232 - Spring 2012 - Assignment 3 SOLUTIONS
1. Suppose that Makehams law applies with A = 0.001, B = 0.0007 and c = 1.082.
Assume also that the eective rate of interest is 2% per year, and = 120.
(a) Use Excel (your spreadsheet (or the solutions) fro
ACTSC 232 - Spring 2012 - Assignment 3
Due: Wednesday, July 25 at 11:30 am
1. Suppose that Makehams law applies with A = 0.001, B = 0.0007 and c = 1.082.
Assume also that the eective rate of interest is 2% per year, and = 120.
(a) Use Excel (your spreadsh
ACTSC 232 - Spring 2012 - Assignment 1 SOLUTIONS
2
1. The function 1900090xx has been proposed for the survival function S0 (x) for a
19000
mortality model.
(a) What is the implied limiting age ?
2
Since S0 ( ) = 1900090 = 0,
19000
we need 2 + 90 19000 =
ACTSC 232 - Spring 2012 - Assignment 1
Due: Friday, May 25 at 11:30 am
2
1. The function 1900090xx has been proposed for the survival function S0 (x) for a
19000
mortality model.
(a) What is the implied limiting age ?
(b) Verify that S0 (x) satises the 3
M1. A whole life insurance contract is issued to (50) with annual premiums of $600
payable continuously throughout the contract. The following were used:
(i) an annual force of interest = 5%,
(ii) de Moivres mortality model for the insured:
t
t px = 1 x f
ACTSC 331 Life Contingencies
Fall 2012
Instructor:
office
Diana Skrzydlo M3 3144
phone
x36721
email
office hours
[email protected] Mon 11 - 12, Wed 1 - 3
Textbook: The primary source for this course is the notes given during class. The textbook is
Act
ACTSC 331 - Fall 2012 - Assignment 2
Due Friday Oct 12 at start of class
1. A contract issued to a life age x pays a sum insured of 10,000 immediately on death within
n years, and pays 20,000 on survival to n years. Level premiums are payable continuously
Math 235
Tutorial 6 Problems
1: Find a and b to obtain the best tting equation of the form y = a + bt for the given
data.
t 1 1 3
.
y 1 05
2: Find all least square solutions of the equation Ax = b where
110
7
1 1 0
2
1 1 0
3
A=
b=
,
1 0 1
6
1 0 1
5
101
4