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CAA Global Module-0 Exam Syllabus Topics:

SectionWeightObjectives
Topic 1: Fundamental Mathematics30%- Mathematical constants and standard functions
- Numerical methods
- Differential and integral calculus
- Algebra, equations and inequalities
- Sequences and series
Topic 2: Introduction to Actuarial Concepts10%- Basic actuarial applications
- Overview of actuarial work and risk management
Topic 3: Probability and Statistics40%- Measures of location, dispersion and correlation
- Statistical inference and hypothesis testing
- Data presentation and analysis
- Basic probability theory
- Discrete and continuous probability distributions
Topic 4: Financial Mathematics Basics20%- Annuities and perpetuities
- Basic investment and cash flow concepts
- Time value of money
- Interest rates and discounting

CAA Global Entry exam of the Certified Actuarial Analyst qualification Sample Questions:

Question 1

Consider the function f(x) =x2- 5x - 3
The value of one of the roots of the above equation can be obtained by using the iteration formula

Apply the iteration formula to determine the value of the root.

A. 4.40
B. 0.54
C. 5.53
D. 1.54


Question 2

Identify which of the following statements are true.
I.Skewness measures how peaked a set of data is
II.Skewness is a measure of asymmetry of the distribution of the data about its mean.
III. For a symmetrically distributed data, the mean equals the median but not necessarily the mode IV. The value of a measure of skewness can be positive, zero or negative.

A. I and II only
B. I and III only
C. II, III and IV only
D. II and IV only


Question 3

Consider the function f(x)x2 6x=20. This functions has a stationary point at x=3.
Determine the nature of this stationary point and how we know this to be true.

A. It is a minimum stationary point because the value of the function at x = 3 is 11, which is positive.
B. It is a maximum stationary point because the second derivative of the function with respect to x takes the value 2, which is positive.
C. It is a minimum stationary point because the second derivative of the function with respect to x takes the value 2 which is positive.
D. It is a maximum stationary point because the value of the function at x = 3 is 11, which is positive.


Question 4

A set of 17 observed values is being studied.
Identify which of the following statements is/are true.
I The median must be equalto one of the observed values.
II. The mean could be different from all of the observed values.
Ill If the observations are positively skewed, then the mean is less than the median IV. More than one mode is not possible.

A. I and II only
B. III only
C. II and IV only
D. I only


Question 5

A. 1.224
B. 986
C. 2,056
D. 3,286


Solutions:

Question 1
Answer: A
Question 2
Answer: D
Question 3
Answer: A
Question 4
Answer: D
Question 5
Answer: B

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