UNSW
ACTL1101 Introduction to Actuarial Studies
S2 2015
Tutorial Exercises Week 4
1
Multiple Choice Exercises
2
x
0 x < 100 then the probability that
Exercise 1 If s(x) = 1 100 ,
a life aged 40 will survive to age 65 or older is
a)
35 2
60
b) 1
35 2
60
c

CHANGES TO THE SYLLABUS AND CORE READING FOR
SUBJECT CT2 FOR THE 2013 EXAMINATIONS
Changes to the Syllabus and their impact on Core Reading
The Syllabus has been updated to replace income cover with interest cover and objective (x) 2
now reads:
2.
Calcula

UNSW
ACTL1101 Introduction to Actuarial Studies
S2 2014
Sample Solutions to Tutorial Exercises Week 3
1
Multiple Choice Exercises
Exercise 1 a
The expected number of claims will be 0.01100000 = 1000 and the number
of claims will be approximately normal (s

Introduction to Actuarial Studies Week 6: Risk
ACTL 1101 Introduction to Actuarial Studies
Michael Sherris
c University of New South Wales (2014)
School of Risk and Actuarial Studies, UNSW Business School
ARC Centre of Excellence in Population Ageing Rese

UNSW
ACTL1101 Introduction to Actuarial Studies
S2 2014
Tutorial Exercises Week 9
1
Multiple Choice Exercises
Exercise 1 Suppose X follows a standard normal distribution. a, b, c, and
d are four constants. Calculate the correlation between aX + b and cX +

UNSW
ACTL1101 Introduction to Actuarial Studies
S2 2014
Tutorial Exercises Week 8
1
Multiple Choice Exercises
Exercise 1 When determining prot for loss, which of the following statement about the increase in the value of the liabilities is INCORRECT?
a) i

UNSW
ACTL1101 Introduction to Actuarial Studies
S2 2014
Tutorial Exercises Week 7
1
Multiple Choice Exercises
Use the following information to answer Questions 1 - 3.
Peter has $1,000 wealth. He faces a risk that has a 50% chance of causing
him a loss of

UNSW
ACTL1101 Introduction to Actuarial Studies
S2 2014
Tutorial Exercises Week 5
1
Multiple Choice Exercises
Exercise 1 A housing loan for $100,000 is to be repaid with monthly payments in arrears over a 20 year period. The nominal interest rate for the

UNSW
ACTL1101 Introduction to Actuarial Studies
S2 2014
Sample Solutions to Tutorial Exercises Week 8
1
Multiple Choice Exercises
Exercise 1 c
When determining prot for loss, increase in the value of the liabilities is
an expense and decreases the expecte

UNSW
ACTL1101 Introduction to Actuarial Studies
S2 2014
Sample Solutions to Tutorial Exercises Week 9
1
Multiple Choice Exercises
Exercise 1 d
The correlation depends on the values of a and c. When a and c are of
the same sign (both positive or both negat

Introduction to Actuarial Studies Week 3: Survival Models and the Life Table
ACTL 1101 Introduction to Actuarial Studies
Michael Sherris
c University of New South Wales (2014)
School of Risk and Actuarial Studies, Australian School of Business
ARC Centre

Introduction to Actuarial Studies Week 2: Introduction to Probability
ACTL 1101 Introduction to Actuarial Studies
Michael Sherris
c University of New South Wales (2014)
School of Risk and Actuarial Studies, Australian School of Business
ARC Centre of Exce

Introduction to Actuarial Studies Week 4: Financial Mathematics I
ACTL 1101 Introduction to Actuarial Studies
Michael Sherris
c University of New South Wales (2014)
School of Risk and Actuarial Studies, UNSW Business School
ARC Centre of Excellence in Pop

Introduction to Actuarial Studies Week 5: Financial Mathematics II
ACTL 1101 Introduction to Actuarial Studies
Michael Sherris
c University of New South Wales (2014)
School of Risk and Actuarial Studies, UNSW Business School
ARC Centre of Excellence in Po

UNSW
ACTL1101 Introduction to Actuarial Studies
S2 2014
Sample Solutions to Tutorial Exercises Week 12
1
Multiple Choice Exercises
Exercise 1 a
This is an important result covered in the text and lectures. If the claim
severity is independent of the frequ

UNSW
ACTL1101 Introduction to Actuarial Studies
S2 2014
Sample Solutions to Tutorial Exercises Week 11
1
Multiple Choice Exercises
Exercise 1 b
Since we are modelling the number of claims which is a discrete and nonnegative random variable, the Normal dis

UNSW
ACTL1101 Introduction to Actuarial Studies
S2 2014
Sample Solutions to Tutorial Exercises Week 13
1
Multiple Choice Exercises
Exercise 1 d
a) is the government provided pension. b) and c) are approved retirement
schemes - superannuation. d) is the le

UNSW
ACTL1101 Introduction to Actuarial Studies
S2 2014
Tutorial Exercises Week 13
1
Multiple Choice Exercises
Exercise 1 Which of the following is NOT one of the three pillars that provide retirement income in Australia?
a) Age pension
b) Compulsory supe

UNSW
ACTL1101 Introduction to Actuarial Studies
S2 2014
Tutorial Exercises Week 11
1
Multiple Choice Exercises
Exercise 1 An insurance company investigated the number of claims for
the motor vehicle insurance. They estimate that the variance is equal to t

UNSW
ACTL1101 Introduction to Actuarial Studies
S2 2014
Tutorial Exercises Week 12
1
Multiple Choice Exercises
Exercise 1 It is assumed that the frequency of the claims follows a Poisson
distribution with mean 10, and that the severity follows a Weibull d

UNSW
ACTL1101 Introduction to Actuarial Studies
S2 2014
Sample Solutions to Tutorial Exercises Week 10
1
Multiple Choice Exercises
Exercise 1 c
An endowment assurance can be viewed as a combination of a pure endowment and a term insurance. Therefore, the

UNSW
ACTL1101 Introduction to Actuarial Studies
S2 2014
Tutorial Exercises Week 10
1
Multiple Choice Exercises
Exercise 1 An endowment assurance pays $100,000 upon death within a
term of 10 years or survival to maturity. A pure endowment pays $100,000
on

PAPER ID: 00098
FAMILY NAME:
OTHER NAME(S):
STUDENT ID:
SIGNATURE:
SCHOOL OF RISK AND ACTUARIAL STUDIES
SEMESTER 2 2014
ACTL 1101: INTRODUCTION TO ACTUARIAL STUDIES
Final Exam
INSTRUCTIONS:
1. TIME ALLOWED2 HOURS
2. THIS EXAMINATION PAPER HAS 24 PAGES.
3.

The University of New South Wales
ACTL 1101 Introduction to Actuarial Statistics
Final Exam Session 2, 2014
SOLUTIONS
1
Answers to Multiple Choice Questions
Part A
Part B
Question
Answer
Question
Answer
1
2
3
4
5
b or d
b
d
a
a
21
22
23
24
25
b
a
b
c
c
6

ACTL 1001
Actuarial Studies and Commerce
Class Test 1
Tuesday, 28th August 2007
Time Allowed: 50 minutes
Total Mark: 90 points
Total Assessment credit: 10%
Write your name and student number on the space provided:
Name:_
Student ID:_
Read through the foll

UNSW Risk and Actuarial Studies
ACTL1101 Introduction to Actuarial Studies
GROUP ASSIGNMENT
Session 2, 2015
The Assignment consists of 2 parts Part (a) and Part (b).
Marks total 100 and the Assignment counts 20% towards final assessment.
Part (a) is du